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WEBVTT
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The following is a conversation with Vijay Kumar.
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He's one of the top roboticists in the world,
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a professor at the University of Pennsylvania,
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a dean of pen engineering, former director of Grasp Lab,
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or the General Robotics Automation Sensing
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and Perception Laboratory at Penn,
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that was established back in 1979, that's 40 years ago.
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Vijay is perhaps best known for his work
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in multi robot systems, robot swarms,
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and micro aerial vehicles,
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robots that elegantly cooperate in flight
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under all the uncertainty and challenges
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that the real world conditions present.
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This is the Artificial Intelligence Podcast.
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If you enjoy it, subscribe on YouTube,
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give it five stars on iTunes, support on Patreon,
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or simply connect with me on Twitter
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at Lex Friedman, spelled F R I D M A N.
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And now, here's my conversation with Vijay Kumar.
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What is the first robot you've ever built
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or were a part of building?
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Way back when I was in graduate school,
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I was part of a fairly big project
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that involved building a very large hexapod.
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It's weighed close to 7,000 pounds,
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and it was powered by hydraulic actuation,
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or it was actuated by hydraulics with 18 motors,
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hydraulic motors, each controlled by an Intel 8085 processor
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and an 8086 co processor.
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And so imagine this huge monster that had 18 joints,
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each controlled by an independent computer,
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and there was a 19th computer that actually did
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the coordination between these 18 joints.
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So I was part of this project,
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and my thesis work was how do you coordinate the 18 legs?
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And in particular, the pressures in the hydraulic cylinders
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to get efficient locomotion.
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It sounds like a giant mess.
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So how difficult is it to make all the motors communicate?
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Presumably, you have to send signals hundreds of times
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a second, or at least.
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So this was not my work,
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but the folks who worked on this wrote what I believe
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to be the first multiprocessor operating system.
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This was in the 80s, and you had to make sure
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that obviously messages got across
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from one joint to another.
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You have to remember the clock speeds on those computers
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were about half a megahertz.
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Right, the 80s.
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So not to romanticize the notion,
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but how did it make you feel to see that robot move?
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It was amazing.
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In hindsight, it looks like, well, we built this thing
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which really should have been much smaller.
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And of course, today's robots are much smaller.
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You look at Boston Dynamics or Ghost Robotics,
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a spinoff from Penn.
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But back then, you were stuck with the substrate you had,
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the compute you had, so things were unnecessarily big.
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But at the same time, and this is just human psychology,
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somehow bigger means grander.
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People never had the same appreciation
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for nanotechnology or nanodevices
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as they do for the Space Shuttle or the Boeing 747.
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Yeah, you've actually done quite a good job
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at illustrating that small is beautiful
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in terms of robotics.
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So what is on that topic is the most beautiful
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or elegant robot in motion that you've ever seen?
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Not to pick favorites or whatever,
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but something that just inspires you that you remember.
03:51.000 --> 03:54.000
Well, I think the thing that I'm most proud of
03:54.000 --> 03:57.200
that my students have done is really think about
03:57.200 --> 04:00.360
small UAVs that can maneuver in constrained spaces
04:00.360 --> 04:03.640
and in particular, their ability to coordinate
04:03.640 --> 04:06.760
with each other and form three dimensional patterns.
04:06.760 --> 04:08.920
So once you can do that,
04:08.920 --> 04:13.920
you can essentially create 3D objects in the sky
04:14.960 --> 04:17.680
and you can deform these objects on the fly.
04:17.680 --> 04:21.560
So in some sense, your toolbox of what you can create
04:21.560 --> 04:23.400
has suddenly got enhanced.
04:25.240 --> 04:27.800
And before that, we did the two dimensional version of this.
04:27.800 --> 04:31.680
So we had ground robots forming patterns and so on.
04:31.680 --> 04:34.960
So that was not as impressive, that was not as beautiful.
04:34.960 --> 04:36.560
But if you do it in 3D,
04:36.560 --> 04:40.240
suspended in midair, and you've got to go back to 2011
04:40.240 --> 04:43.040
when we did this, now it's actually pretty standard
04:43.040 --> 04:45.600
to do these things eight years later.
04:45.600 --> 04:47.680
But back then it was a big accomplishment.
04:47.680 --> 04:50.280
So the distributed cooperation
04:50.280 --> 04:53.480
is where beauty emerges in your eyes?
04:53.480 --> 04:55.800
Well, I think beauty to an engineer is very different
04:55.800 --> 04:59.400
from beauty to someone who's looking at robots
04:59.400 --> 05:01.240
from the outside, if you will.
05:01.240 --> 05:04.800
But what I meant there, so before we said that grand,
05:04.800 --> 05:09.800
so before we said that grand is associated with size.
05:10.520 --> 05:13.720
And another way of thinking about this
05:13.720 --> 05:15.600
is just the physical shape
05:15.600 --> 05:18.400
and the idea that you can get physical shapes in midair
05:18.400 --> 05:21.560
and have them deform, that's beautiful.
05:21.560 --> 05:23.040
But the individual components,
05:23.040 --> 05:24.880
the agility is beautiful too, right?
05:24.880 --> 05:25.720
That is true too.
05:25.720 --> 05:28.480
So then how quickly can you actually manipulate
05:28.480 --> 05:29.560
these three dimensional shapes
05:29.560 --> 05:31.280
and the individual components?
05:31.280 --> 05:32.240
Yes, you're right.
05:32.240 --> 05:36.760
But by the way, you said UAV, unmanned aerial vehicle.
05:36.760 --> 05:41.760
What's a good term for drones, UAVs, quad copters?
05:41.840 --> 05:44.560
Is there a term that's being standardized?
05:44.560 --> 05:45.440
I don't know if there is.
05:45.440 --> 05:47.920
Everybody wants to use the word drones.
05:47.920 --> 05:51.080
And I've often said this, drones to me is a pejorative word.
05:51.080 --> 05:53.960
It signifies something that's dumb,
05:53.960 --> 05:56.360
that's pre programmed, that does one little thing
05:56.360 --> 05:58.600
and robots are anything but drones.
05:58.600 --> 06:00.680
So I actually don't like that word,
06:00.680 --> 06:02.960
but that's what everybody uses.
06:02.960 --> 06:04.880
You could call it unpiloted.
06:04.880 --> 06:05.800
Unpiloted.
06:05.800 --> 06:08.120
But even unpiloted could be radio controlled,
06:08.120 --> 06:11.560
could be remotely controlled in many different ways.
06:11.560 --> 06:12.960
And I think the right word is,
06:12.960 --> 06:15.040
thinking about it as an aerial robot.
06:15.040 --> 06:19.080
You also say agile, autonomous, aerial robot, right?
06:19.080 --> 06:22.160
Yeah, so agility is an attribute, but they don't have to be.
06:23.080 --> 06:24.800
So what biological system,
06:24.800 --> 06:27.200
because you've also drawn a lot of inspiration with those.
06:27.200 --> 06:30.360
I've seen bees and ants that you've talked about.
06:30.360 --> 06:35.240
What living creatures have you found to be most inspiring
06:35.240 --> 06:38.520
as an engineer, instructive in your work in robotics?
06:38.520 --> 06:43.440
To me, so ants are really quite incredible creatures, right?
06:43.440 --> 06:47.880
So you, I mean, the individuals arguably are very simple
06:47.880 --> 06:52.360
in how they're built and yet they're incredibly resilient
06:52.360 --> 06:53.960
as a population.
06:53.960 --> 06:56.760
And as individuals, they're incredibly robust.
06:56.760 --> 07:00.600
So, if you take an ant, it's six legs,
07:00.600 --> 07:04.120
you remove one leg, it still works just fine.
07:04.120 --> 07:05.760
And it moves along.
07:05.760 --> 07:08.720
And I don't know that he even realizes it's lost a leg.
07:09.760 --> 07:12.520
So that's the robustness at the individual ant level.
07:13.400 --> 07:15.360
But then you look about this instinct
07:15.360 --> 07:17.680
for self preservation of the colonies
07:17.680 --> 07:20.400
and they adapt in so many amazing ways.
07:20.400 --> 07:25.400
You know, transcending gaps by just chaining themselves
07:26.800 --> 07:29.600
together when you have a flood,
07:29.600 --> 07:32.360
being able to recruit other teammates
07:32.360 --> 07:34.320
to carry big morsels of food,
07:35.760 --> 07:38.760
and then going out in different directions looking for food,
07:38.760 --> 07:43.160
and then being able to demonstrate consensus,
07:43.160 --> 07:47.040
even though they don't communicate directly with each other
07:47.040 --> 07:49.080
the way we communicate with each other.
07:49.080 --> 07:51.880
In some sense, they also know how to do democracy,
07:51.880 --> 07:53.640
probably better than what we do.
07:53.640 --> 07:57.000
Yeah, somehow it's even democracy is emergent.
07:57.000 --> 07:59.120
It seems like all of the phenomena that we see
07:59.120 --> 08:00.480
is all emergent.
08:00.480 --> 08:03.560
It seems like there's no centralized communicator.
08:03.560 --> 08:06.520
There is, so I think a lot is made about that word,
08:06.520 --> 08:09.640
emergent, and it means lots of things to different people.
08:09.640 --> 08:10.680
But you're absolutely right.
08:10.680 --> 08:13.040
I think as an engineer, you think about
08:13.040 --> 08:17.720
what element, elemental behaviors
08:17.720 --> 08:21.320
were primitives you could synthesize
08:21.320 --> 08:25.240
so that the whole looks incredibly powerful,
08:25.240 --> 08:26.520
incredibly synergistic,
08:26.520 --> 08:29.520
the whole definitely being greater than some of the parts,
08:29.520 --> 08:31.480
and ants are living proof of that.
08:32.480 --> 08:34.960
So when you see these beautiful swarms
08:34.960 --> 08:37.520
where there's biological systems of robots,
08:38.520 --> 08:40.200
do you sometimes think of them
08:40.200 --> 08:44.640
as a single individual living intelligent organism?
08:44.640 --> 08:47.400
So it's the same as thinking of our human beings
08:47.400 --> 08:51.160
are human civilization as one organism,
08:51.160 --> 08:52.960
or do you still, as an engineer,
08:52.960 --> 08:54.600
think about the individual components
08:54.600 --> 08:55.440
and all the engineering
08:55.440 --> 08:57.320
that went into the individual components?
08:57.320 --> 08:58.640
Well, that's very interesting.
08:58.640 --> 09:01.480
So again, philosophically as engineers,
09:01.480 --> 09:05.400
what we wanna do is to go beyond
09:05.400 --> 09:08.280
the individual components, the individual units,
09:08.280 --> 09:11.520
and think about it as a unit, as a cohesive unit,
09:11.520 --> 09:15.120
without worrying about the individual components.
09:15.120 --> 09:17.760
If you start obsessing about
09:17.760 --> 09:22.120
the individual building blocks and what they do,
09:23.320 --> 09:27.960
you inevitably will find it hard to scale up.
09:27.960 --> 09:29.000
Just mathematically,
09:29.000 --> 09:31.600
just think about individual things you wanna model,
09:31.600 --> 09:34.040
and if you want to have 10 of those,
09:34.040 --> 09:36.440
then you essentially are taking Cartesian products
09:36.440 --> 09:39.320
of 10 things, and that makes it really complicated.
09:39.320 --> 09:41.840
Then to do any kind of synthesis or design
09:41.840 --> 09:44.200
in that high dimension space is really hard.
09:44.200 --> 09:45.800
So the right way to do this
09:45.800 --> 09:49.040
is to think about the individuals in a clever way
09:49.040 --> 09:51.120
so that at the higher level,
09:51.120 --> 09:53.400
when you look at lots and lots of them,
09:53.400 --> 09:55.320
abstractly, you can think of them
09:55.320 --> 09:57.120
in some low dimensional space.
09:57.120 --> 09:58.680
So what does that involve?
09:58.680 --> 10:02.160
For the individual, do you have to try to make
10:02.160 --> 10:05.160
the way they see the world as local as possible?
10:05.160 --> 10:06.440
And the other thing,
10:06.440 --> 10:09.560
do you just have to make them robust to collisions?
10:09.560 --> 10:10.880
Like you said with the ants,
10:10.880 --> 10:15.320
if something fails, the whole swarm doesn't fail.
10:15.320 --> 10:17.760
Right, I think as engineers, we do this.
10:17.760 --> 10:19.760
I mean, you think about, we build planes,
10:19.760 --> 10:21.240
or we build iPhones,
10:22.240 --> 10:26.280
and we know that by taking individual components,
10:26.280 --> 10:30.080
well engineered components with well specified interfaces
10:30.080 --> 10:31.680
that behave in a predictable way,
10:31.680 --> 10:33.560
you can build complex systems.
10:34.440 --> 10:36.880
So that's ingrained, I would claim,
10:36.880 --> 10:39.400
in most engineers thinking,
10:39.400 --> 10:41.600
and it's true for computer scientists as well.
10:41.600 --> 10:44.760
I think what's different here is that you want
10:44.760 --> 10:49.480
the individuals to be robust in some sense,
10:49.480 --> 10:52.000
as we do in these other settings,
10:52.000 --> 10:54.480
but you also want some degree of resiliency
10:54.480 --> 10:56.320
for the population.
10:56.320 --> 11:00.560
And so you really want them to be able to reestablish
11:02.040 --> 11:03.840
communication with their neighbors.
11:03.840 --> 11:08.840
You want them to rethink their strategy for group behavior.
11:08.840 --> 11:10.760
You want them to reorganize.
11:12.200 --> 11:15.920
And that's where I think a lot of the challenges lie.
11:15.920 --> 11:18.160
So just at a high level,
11:18.160 --> 11:20.880
what does it take for a bunch of,
11:22.200 --> 11:24.440
what should we call them, flying robots,
11:24.440 --> 11:26.680
to create a formation?
11:26.680 --> 11:28.680
Just for people who are not familiar
11:28.680 --> 11:32.760
with robotics in general, how much information is needed?
11:32.760 --> 11:35.840
How do you even make it happen
11:35.840 --> 11:39.520
without a centralized controller?
11:39.520 --> 11:41.080
So, I mean, there are a couple of different ways
11:41.080 --> 11:43.160
of looking at this.
11:43.160 --> 11:45.680
If you are a purist,
11:45.680 --> 11:50.680
you think of it as a way of recreating what nature does.
11:53.560 --> 11:58.440
So nature forms groups for several reasons,
11:58.440 --> 12:02.000
but mostly it's because of this instinct
12:02.000 --> 12:05.680
that organisms have of preserving their colonies,
12:05.680 --> 12:09.520
their population, which means what?
12:09.520 --> 12:12.920
You need shelter, you need food, you need to procreate,
12:12.920 --> 12:14.760
and that's basically it.
12:14.760 --> 12:18.440
So the kinds of interactions you see are all organic.
12:18.440 --> 12:19.760
They're all local.
12:20.760 --> 12:24.080
And the only information that they share,
12:24.080 --> 12:27.520
and mostly it's indirectly, is to, again,
12:27.520 --> 12:30.000
preserve the herd or the flock,
12:30.000 --> 12:35.000
or the swarm, and either by looking for new sources of food
12:37.480 --> 12:39.440
or looking for new shelters, right?
12:39.440 --> 12:40.280
Right.
12:41.240 --> 12:45.360
As engineers, when we build swarms, we have a mission.
12:46.560 --> 12:51.560
And when you think of a mission, and it involves mobility,
12:52.480 --> 12:55.000
most often it's described in some kind
12:55.000 --> 12:56.880
of a global coordinate system.
12:56.880 --> 12:59.440
As a human, as an operator, as a commander,
12:59.440 --> 13:03.560
or as a collaborator, I have my coordinate system,
13:03.560 --> 13:06.640
and I want the robots to be consistent with that.
13:07.600 --> 13:11.240
So I might think of it slightly differently.
13:11.240 --> 13:15.440
I might want the robots to recognize that coordinate system,
13:15.440 --> 13:17.720
which means not only do they have to think locally
13:17.720 --> 13:19.600
in terms of who their immediate neighbors are,
13:19.600 --> 13:20.920
but they have to be cognizant
13:20.920 --> 13:24.040
of what the global environment is.
13:24.040 --> 13:27.040
They have to be cognizant of what the global environment
13:27.040 --> 13:28.280
looks like.
13:28.280 --> 13:31.040
So if I say, surround this building
13:31.040 --> 13:33.240
and protect this from intruders,
13:33.240 --> 13:35.600
well, they're immediately in a building centered
13:35.600 --> 13:37.040
coordinate system, and I have to tell them
13:37.040 --> 13:38.680
where the building is.
13:38.680 --> 13:40.040
And they're globally collaborating
13:40.040 --> 13:41.280
on the map of that building.
13:41.280 --> 13:44.160
They're maintaining some kind of global,
13:44.160 --> 13:45.480
not just in the frame of the building,
13:45.480 --> 13:49.000
but there's information that's ultimately being built up
13:49.000 --> 13:53.280
explicitly as opposed to kind of implicitly,
13:53.280 --> 13:54.360
like nature might.
13:54.360 --> 13:55.200
Correct, correct.
13:55.200 --> 13:57.680
So in some sense, nature is very, very sophisticated,
13:57.680 --> 14:01.880
but the tasks that nature solves or needs to solve
14:01.880 --> 14:05.160
are very different from the kind of engineered tasks,
14:05.160 --> 14:09.760
artificial tasks that we are forced to address.
14:09.760 --> 14:12.520
And again, there's nothing preventing us
14:12.520 --> 14:15.160
from solving these other problems,
14:15.160 --> 14:16.600
but ultimately it's about impact.
14:16.600 --> 14:19.360
You want these swarms to do something useful.
14:19.360 --> 14:24.360
And so you're kind of driven into this very unnatural,
14:24.640 --> 14:25.480
if you will.
14:25.480 --> 14:29.160
Unnatural, meaning not like how nature does, setting.
14:29.160 --> 14:31.920
And it's probably a little bit more expensive
14:31.920 --> 14:33.760
to do it the way nature does,
14:33.760 --> 14:37.560
because nature is less sensitive
14:37.560 --> 14:39.480
to the loss of the individual.
14:39.480 --> 14:42.280
And cost wise in robotics,
14:42.280 --> 14:45.480
I think you're more sensitive to losing individuals.
14:45.480 --> 14:49.000
I think that's true, although if you look at the price
14:49.000 --> 14:51.520
to performance ratio of robotic components,
14:51.520 --> 14:54.720
it's coming down dramatically, right?
14:54.720 --> 14:56.040
It continues to come down.
14:56.040 --> 14:58.920
So I think we're asymptotically approaching the point
14:58.920 --> 14:59.960
where we would get, yeah,
14:59.960 --> 15:05.040
the cost of individuals would really become insignificant.
15:05.040 --> 15:07.640
So let's step back at a high level view,
15:07.640 --> 15:12.480
the impossible question of what kind of, as an overview,
15:12.480 --> 15:14.400
what kind of autonomous flying vehicles
15:14.400 --> 15:16.200
are there in general?
15:16.200 --> 15:19.720
I think the ones that receive a lot of notoriety
15:19.720 --> 15:22.560
are obviously the military vehicles.
15:22.560 --> 15:26.280
Military vehicles are controlled by a base station,
15:26.280 --> 15:29.640
but have a lot of human supervision.
15:29.640 --> 15:31.800
But they have limited autonomy,
15:31.800 --> 15:34.760
which is the ability to go from point A to point B.
15:34.760 --> 15:37.080
And even the more sophisticated now,
15:37.080 --> 15:40.400
sophisticated vehicles can do autonomous takeoff
15:40.400 --> 15:41.760
and landing.
15:41.760 --> 15:44.360
And those usually have wings and they're heavy.
15:44.360 --> 15:45.360
Usually they're wings,
15:45.360 --> 15:47.440
but then there's nothing preventing us from doing this
15:47.440 --> 15:49.000
for helicopters as well.
15:49.000 --> 15:52.480
There are many military organizations
15:52.480 --> 15:56.560
that have autonomous helicopters in the same vein.
15:56.560 --> 16:00.080
And by the way, you look at autopilots and airplanes
16:00.080 --> 16:02.840
and it's actually very similar.
16:02.840 --> 16:07.160
In fact, one interesting question we can ask is,
16:07.160 --> 16:12.120
if you look at all the air safety violations,
16:12.120 --> 16:14.080
all the crashes that occurred,
16:14.080 --> 16:18.640
would they have happened if the plane were truly autonomous?
16:18.640 --> 16:21.960
And I think you'll find that in many of the cases,
16:21.960 --> 16:24.600
because of pilot error, we made silly decisions.
16:24.600 --> 16:26.960
And so in some sense, even in air traffic,
16:26.960 --> 16:29.800
commercial air traffic, there's a lot of applications,
16:29.800 --> 16:33.960
although we only see autonomy being enabled
16:33.960 --> 16:38.960
at very high altitudes when the plane is an autopilot.
16:38.960 --> 16:41.960
The plane is an autopilot.
16:41.960 --> 16:42.800
There's still a role for the human
16:42.800 --> 16:47.640
and that kind of autonomy is, you're kind of implying,
16:47.640 --> 16:48.680
I don't know what the right word is,
16:48.680 --> 16:53.480
but it's a little dumber than it could be.
16:53.480 --> 16:55.720
Right, so in the lab, of course,
16:55.720 --> 16:59.200
we can afford to be a lot more aggressive.
16:59.200 --> 17:04.200
And the question we try to ask is,
17:04.200 --> 17:09.200
can we make robots that will be able to make decisions
17:10.360 --> 17:13.680
without any kind of external infrastructure?
17:13.680 --> 17:14.880
So what does that mean?
17:14.880 --> 17:16.960
So the most common piece of infrastructure
17:16.960 --> 17:19.640
that airplanes use today is GPS.
17:20.560 --> 17:25.160
GPS is also the most brittle form of information.
17:26.680 --> 17:30.480
If you have driven in a city, try to use GPS navigation,
17:30.480 --> 17:32.760
in tall buildings, you immediately lose GPS.
17:32.760 --> 17:36.280
And so that's not a very sophisticated way
17:36.280 --> 17:37.840
of building autonomy.
17:37.840 --> 17:39.560
I think the second piece of infrastructure
17:39.560 --> 17:41.920
they rely on is communications.
17:41.920 --> 17:46.200
Again, it's very easy to jam communications.
17:47.360 --> 17:51.320
In fact, if you use wifi, you know that wifi signals
17:51.320 --> 17:53.520
drop out, cell signals drop out.
17:53.520 --> 17:56.800
So to rely on something like that is not good.
17:58.560 --> 18:01.200
The third form of infrastructure we use,
18:01.200 --> 18:02.920
and I hate to call it infrastructure,
18:02.920 --> 18:06.360
but it is that, in the sense of robots, is people.
18:06.360 --> 18:08.640
So you could rely on somebody to pilot you.
18:09.960 --> 18:11.600
And so the question you wanna ask is,
18:11.600 --> 18:14.760
if there are no pilots, there's no communications
18:14.760 --> 18:18.720
with any base station, if there's no knowledge of position,
18:18.720 --> 18:21.640
and if there's no a priori map,
18:21.640 --> 18:24.880
a priori knowledge of what the environment looks like,
18:24.880 --> 18:28.240
a priori model of what might happen in the future,
18:28.240 --> 18:29.560
can robots navigate?
18:29.560 --> 18:31.480
So that is true autonomy.
18:31.480 --> 18:34.160
So that's true autonomy, and we're talking about,
18:34.160 --> 18:36.880
you mentioned like military application of drones.
18:36.880 --> 18:38.320
Okay, so what else is there?
18:38.320 --> 18:42.080
You talk about agile, autonomous flying robots,
18:42.080 --> 18:45.680
aerial robots, so that's a different kind of,
18:45.680 --> 18:48.160
it's not winged, it's not big, at least it's small.
18:48.160 --> 18:50.840
So I use the word agility mostly,
18:50.840 --> 18:53.520
or at least we're motivated to do agile robots,
18:53.520 --> 18:58.000
mostly because robots can operate
18:58.000 --> 19:01.120
and should be operating in constrained environments.
19:02.120 --> 19:06.960
And if you want to operate the way a global hawk operates,
19:06.960 --> 19:09.120
I mean, the kinds of conditions in which you operate
19:09.120 --> 19:10.760
are very, very restrictive.
19:11.760 --> 19:13.720
If you wanna go inside a building,
19:13.720 --> 19:15.600
for example, for search and rescue,
19:15.600 --> 19:18.120
or to locate an active shooter,
19:18.120 --> 19:22.120
or you wanna navigate under the canopy in an orchard
19:22.120 --> 19:23.880
to look at health of plants,
19:23.880 --> 19:28.240
or to look for, to count fruits,
19:28.240 --> 19:31.240
to measure the tree trunks.
19:31.240 --> 19:33.240
These are things we do, by the way.
19:33.240 --> 19:35.400
There's some cool agriculture stuff you've shown
19:35.400 --> 19:37.080
in the past, it's really awesome.
19:37.080 --> 19:40.360
So in those kinds of settings, you do need that agility.
19:40.360 --> 19:42.560
Agility does not necessarily mean
19:42.560 --> 19:45.440
you break records for the 100 meters dash.
19:45.440 --> 19:48.000
What it really means is you see the unexpected
19:48.000 --> 19:51.480
and you're able to maneuver in a safe way,
19:51.480 --> 19:55.400
and in a way that gets you the most information
19:55.400 --> 19:57.640
about the thing you're trying to do.
19:57.640 --> 20:00.440
By the way, you may be the only person
20:00.440 --> 20:04.200
who, in a TED Talk, has used a math equation,
20:04.200 --> 20:07.600
which is amazing, people should go see one of your TED Talks.
20:07.600 --> 20:08.800
Actually, it's very interesting,
20:08.800 --> 20:12.400
because the TED curator, Chris Anderson,
20:12.400 --> 20:15.360
told me, you can't show math.
20:15.360 --> 20:18.200
And I thought about it, but that's who I am.
20:18.200 --> 20:20.760
I mean, that's our work.
20:20.760 --> 20:25.760
And so I felt compelled to give the audience a taste
20:25.760 --> 20:27.640
for at least some math.
20:27.640 --> 20:32.640
So on that point, simply, what does it take
20:32.880 --> 20:37.360
to make a thing with four motors fly, a quadcopter,
20:37.360 --> 20:40.640
one of these little flying robots?
20:41.760 --> 20:43.960
How hard is it to make it fly?
20:43.960 --> 20:46.560
How do you coordinate the four motors?
20:46.560 --> 20:51.560
How do you convert those motors into actual movement?
20:52.600 --> 20:54.800
So this is an interesting question.
20:54.800 --> 20:58.080
We've been trying to do this since 2000.
20:58.080 --> 21:00.560
It is a commentary on the sensors
21:00.560 --> 21:02.080
that were available back then,
21:02.080 --> 21:04.280
the computers that were available back then.
21:05.560 --> 21:10.280
And a number of things happened between 2000 and 2007.
21:11.520 --> 21:14.120
One is the advances in computing,
21:14.120 --> 21:16.760
which is, so we all know about Moore's Law,
21:16.760 --> 21:19.680
but I think 2007 was a tipping point,
21:19.680 --> 21:22.720
the year of the iPhone, the year of the cloud.
21:22.720 --> 21:24.640
Lots of things happened in 2007.
21:25.600 --> 21:27.600
But going back even further,
21:27.600 --> 21:31.360
inertial measurement units as a sensor really matured.
21:31.360 --> 21:33.040
Again, lots of reasons for that.
21:33.920 --> 21:35.400
Certainly, there's a lot of federal funding,
21:35.400 --> 21:37.360
particularly DARPA in the US,
21:38.320 --> 21:42.760
but they didn't anticipate this boom in IMUs.
21:42.760 --> 21:46.560
But if you look, subsequently what happened
21:46.560 --> 21:50.040
is that every car manufacturer had to put an airbag in,
21:50.040 --> 21:52.600
which meant you had to have an accelerometer on board.
21:52.600 --> 21:55.000
And so that drove down the price to performance ratio.
21:55.000 --> 21:56.880
Wow, I should know this.
21:56.880 --> 21:57.960
That's very interesting.
21:57.960 --> 21:59.360
That's very interesting, the connection there.
21:59.360 --> 22:01.320
And that's why research is very,
22:01.320 --> 22:03.280
it's very hard to predict the outcomes.
22:04.840 --> 22:07.640
And again, the federal government spent a ton of money
22:07.640 --> 22:12.280
on things that they thought were useful for resonators,
22:12.280 --> 22:16.840
but it ended up enabling these small UAVs, which is great,
22:16.840 --> 22:18.520
because I could have never raised that much money
22:18.520 --> 22:20.760
and sold this project,
22:20.760 --> 22:22.200
hey, we want to build these small UAVs.
22:22.200 --> 22:25.440
Can you actually fund the development of low cost IMUs?
22:25.440 --> 22:27.600
So why do you need an IMU on an IMU?
22:27.600 --> 22:31.000
So I'll come back to that.
22:31.000 --> 22:33.320
So in 2007, 2008, we were able to build these.
22:33.320 --> 22:35.200
And then the question you're asking was a good one.
22:35.200 --> 22:40.240
How do you coordinate the motors to develop this?
22:40.240 --> 22:43.880
But over the last 10 years, everything is commoditized.
22:43.880 --> 22:46.240
A high school kid today can pick up
22:46.240 --> 22:50.560
a Raspberry Pi kit and build this.
22:50.560 --> 22:53.200
All the low levels functionality is all automated.
22:54.160 --> 22:56.360
But basically at some level,
22:56.360 --> 23:01.360
you have to drive the motors at the right RPMs,
23:01.360 --> 23:03.680
the right velocity,
23:04.560 --> 23:07.480
in order to generate the right amount of thrust,
23:07.480 --> 23:10.360
in order to position it and orient it in a way
23:10.360 --> 23:12.840
that you need to in order to fly.
23:13.800 --> 23:16.680
The feedback that you get is from onboard sensors,
23:16.680 --> 23:18.400
and the IMU is an important part of it.
23:18.400 --> 23:23.400
The IMU tells you what the acceleration is,
23:23.840 --> 23:26.400
as well as what the angular velocity is.
23:26.400 --> 23:29.200
And those are important pieces of information.
23:30.440 --> 23:34.200
In addition to that, you need some kind of local position
23:34.200 --> 23:37.480
or velocity information.
23:37.480 --> 23:39.360
For example, when we walk,
23:39.360 --> 23:41.560
we implicitly have this information
23:41.560 --> 23:45.840
because we kind of know what our stride length is.
23:46.720 --> 23:51.480
We also are looking at images fly past our retina,
23:51.480 --> 23:54.280
if you will, and so we can estimate velocity.
23:54.280 --> 23:56.360
We also have accelerometers in our head,
23:56.360 --> 23:59.160
and we're able to integrate all these pieces of information
23:59.160 --> 24:02.360
to determine where we are as we walk.
24:02.360 --> 24:04.320
And so robots have to do something very similar.
24:04.320 --> 24:08.160
You need an IMU, you need some kind of a camera
24:08.160 --> 24:11.640
or other sensor that's measuring velocity,
24:12.560 --> 24:15.800
and then you need some kind of a global reference frame
24:15.800 --> 24:19.520
if you really want to think about doing something
24:19.520 --> 24:21.280
in a world coordinate system.
24:21.280 --> 24:23.680
And so how do you estimate your position
24:23.680 --> 24:25.160
with respect to that global reference frame?
24:25.160 --> 24:26.560
That's important as well.
24:26.560 --> 24:29.520
So coordinating the RPMs of the four motors
24:29.520 --> 24:32.640
is what allows you to, first of all, fly and hover,
24:32.640 --> 24:35.600
and then you can change the orientation
24:35.600 --> 24:37.600
and the velocity and so on.
24:37.600 --> 24:38.440
Exactly, exactly.
24:38.440 --> 24:40.320
So it's a bunch of degrees of freedom
24:40.320 --> 24:41.160
that you're complaining about.
24:41.160 --> 24:42.200
There's six degrees of freedom,
24:42.200 --> 24:44.920
but you only have four inputs, the four motors.
24:44.920 --> 24:49.920
And it turns out to be a remarkably versatile configuration.
24:50.920 --> 24:53.080
You think at first, well, I only have four motors,
24:53.080 --> 24:55.000
how do I go sideways?
24:55.000 --> 24:57.280
But it's not too hard to say, well, if I tilt myself,
24:57.280 --> 25:00.440
I can go sideways, and then you have four motors
25:00.440 --> 25:03.320
pointing up, how do I rotate in place
25:03.320 --> 25:05.360
about a vertical axis?
25:05.360 --> 25:07.800
Well, you rotate them at different speeds
25:07.800 --> 25:09.720
and that generates reaction moments
25:09.720 --> 25:11.520
and that allows you to turn.
25:11.520 --> 25:14.960
So it's actually a pretty, it's an optimal configuration
25:14.960 --> 25:17.040
from an engineer standpoint.
25:18.360 --> 25:23.360
It's very simple, very cleverly done, and very versatile.
25:23.360 --> 25:27.240
So if you could step back to a time,
25:27.240 --> 25:30.000
so I've always known flying robots as,
25:31.040 --> 25:35.760
to me, it was natural that a quadcopter should fly.
25:35.760 --> 25:37.880
But when you first started working with it,
25:38.800 --> 25:42.000
how surprised are you that you can make,
25:42.000 --> 25:45.520
do so much with the four motors?
25:45.520 --> 25:47.600
How surprising is it that you can make this thing fly,
25:47.600 --> 25:49.760
first of all, that you can make it hover,
25:49.760 --> 25:52.000
that you can add control to it?
25:52.000 --> 25:55.080
Firstly, this is not, the four motor configuration
25:55.080 --> 25:56.400
is not ours.
25:56.400 --> 25:59.320
You can, it has at least a hundred year history.
26:00.320 --> 26:04.160
And various people, various people try to get quadrotors
26:04.160 --> 26:06.840
to fly without much success.
26:08.480 --> 26:10.760
As I said, we've been working on this since 2000.
26:10.760 --> 26:14.400
Our first designs were, well, this is way too complicated.
26:14.400 --> 26:18.480
Why not we try to get an omnidirectional flying robot?
26:18.480 --> 26:21.760
So our early designs, we had eight rotors.
26:21.760 --> 26:25.200
And so these eight rotors were arranged uniformly
26:26.600 --> 26:28.000
on a sphere, if you will.
26:28.000 --> 26:30.440
So you can imagine a symmetric configuration.
26:30.440 --> 26:33.280
And so you should be able to fly anywhere.
26:33.280 --> 26:36.240
But the real challenge we had is the strength to weight ratio
26:36.240 --> 26:37.080
is not enough.
26:37.080 --> 26:39.680
And of course, we didn't have the sensors and so on.
26:40.520 --> 26:43.040
So everybody knew, or at least the people
26:43.040 --> 26:44.800
who worked with rotorcrafts knew,
26:44.800 --> 26:46.520
four rotors will get it done.
26:47.520 --> 26:49.400
So that was not our idea.
26:49.400 --> 26:52.800
But it took a while before we could actually do
26:52.800 --> 26:56.920
the onboard sensing and the computation that was needed
26:56.920 --> 27:01.000
for the kinds of agile maneuvering that we wanted to do
27:01.000 --> 27:03.000
in our little aerial robots.
27:03.000 --> 27:07.560
And that only happened between 2007 and 2009 in our lab.
27:07.560 --> 27:09.960
Yeah, and you have to send the signal
27:09.960 --> 27:12.480
maybe a hundred times a second.
27:12.480 --> 27:15.960
So the compute there, everything has to come down in price.
27:15.960 --> 27:20.960
And what are the steps of getting from point A to point B?
27:21.720 --> 27:25.200
So we just talked about like local control.
27:25.200 --> 27:30.200
But if all the kind of cool dancing in the air
27:30.840 --> 27:34.520
that I've seen you show, how do you make it happen?
27:34.520 --> 27:37.360
How do you make a trajectory?
27:37.360 --> 27:40.520
First of all, okay, figure out a trajectory.
27:40.520 --> 27:41.680
So plan a trajectory.
27:41.680 --> 27:44.400
And then how do you make that trajectory happen?
27:44.400 --> 27:47.280
Yeah, I think planning is a very fundamental problem
27:47.280 --> 27:48.120
in robotics.
27:48.120 --> 27:50.800
I think 10 years ago it was an esoteric thing,
27:50.800 --> 27:53.040
but today with self driving cars,
27:53.040 --> 27:55.840
everybody can understand this basic idea
27:55.840 --> 27:57.920
that a car sees a whole bunch of things
27:57.920 --> 28:00.320
and it has to keep a lane or maybe make a right turn
28:00.320 --> 28:01.280
or switch lanes.
28:01.280 --> 28:02.680
It has to plan a trajectory.
28:02.680 --> 28:03.560
It has to be safe.
28:03.560 --> 28:04.840
It has to be efficient.
28:04.840 --> 28:06.640
So everybody's familiar with that.
28:06.640 --> 28:10.240
That's kind of the first step that you have to think about
28:10.240 --> 28:14.800
when you say autonomy.
28:14.800 --> 28:19.120
And so for us, it's about finding smooth motions,
28:19.120 --> 28:21.320
motions that are safe.
28:21.320 --> 28:22.880
So we think about these two things.
28:22.880 --> 28:24.680
One is optimality, one is safety.
28:24.680 --> 28:27.200
Clearly you cannot compromise safety.
28:28.440 --> 28:31.360
So you're looking for safe, optimal motions.
28:31.360 --> 28:34.480
The other thing you have to think about is
28:34.480 --> 28:38.160
can you actually compute a reasonable trajectory
28:38.160 --> 28:40.760
in a small amount of time?
28:40.760 --> 28:42.280
Cause you have a time budget.
28:42.280 --> 28:45.160
So the optimal becomes suboptimal,
28:45.160 --> 28:50.160
but in our lab we focus on synthesizing smooth trajectory
28:51.160 --> 28:53.000
that satisfy all the constraints.
28:53.000 --> 28:57.120
In other words, don't violate any safety constraints
28:58.440 --> 29:02.880
and is as efficient as possible.
29:02.880 --> 29:04.360
And when I say efficient,
29:04.360 --> 29:06.600
it could mean I want to get from point A to point B
29:06.600 --> 29:08.360
as quickly as possible,
29:08.360 --> 29:11.840
or I want to get to it as gracefully as possible,
29:12.840 --> 29:15.960
or I want to consume as little energy as possible.
29:15.960 --> 29:18.240
But always staying within the safety constraints.
29:18.240 --> 29:22.800
But yes, always finding a safe trajectory.
29:22.800 --> 29:25.040
So there's a lot of excitement and progress
29:25.040 --> 29:27.360
in the field of machine learning
29:27.360 --> 29:29.360
and reinforcement learning
29:29.360 --> 29:32.200
and the neural network variant of that
29:32.200 --> 29:33.920
with deep reinforcement learning.
29:33.920 --> 29:36.360
Do you see a role of machine learning
29:36.360 --> 29:40.560
in, so a lot of the success of flying robots
29:40.560 --> 29:42.320
did not rely on machine learning,
29:42.320 --> 29:45.040
except for maybe a little bit of the perception
29:45.040 --> 29:46.600
on the computer vision side.
29:46.600 --> 29:48.440
On the control side and the planning,
29:48.440 --> 29:50.400
do you see there's a role in the future
29:50.400 --> 29:51.680
for machine learning?
29:51.680 --> 29:53.800
So let me disagree a little bit with you.
29:53.800 --> 29:56.800
I think we never perhaps called out in my work,
29:56.800 --> 29:57.720
called out learning,
29:57.720 --> 30:00.600
but even this very simple idea of being able to fly
30:00.600 --> 30:02.200
through a constrained space.
30:02.200 --> 30:05.680
The first time you try it, you'll invariably,
30:05.680 --> 30:08.440
you might get it wrong if the task is challenging.
30:08.440 --> 30:12.200
And the reason is to get it perfectly right,
30:12.200 --> 30:14.600
you have to model everything in the environment.
30:15.600 --> 30:19.960
And flying is notoriously hard to model.
30:19.960 --> 30:24.960
There are aerodynamic effects that we constantly discover.
30:26.520 --> 30:29.440
Even just before I was talking to you,
30:29.440 --> 30:33.440
I was talking to a student about how blades flap
30:33.440 --> 30:35.320
when they fly.
30:35.320 --> 30:40.320
And that ends up changing how a rotorcraft
30:40.880 --> 30:43.960
is accelerated in the angular direction.
30:43.960 --> 30:46.360
Does he use like micro flaps or something?
30:46.360 --> 30:47.280
It's not micro flaps.
30:47.280 --> 30:49.640
So we assume that each blade is rigid,
30:49.640 --> 30:51.720
but actually it flaps a little bit.
30:51.720 --> 30:52.880
It bends.
30:52.880 --> 30:53.720
Interesting, yeah.
30:53.720 --> 30:56.040
And so the models rely on the fact,
30:56.040 --> 30:58.640
on the assumption that they're not rigid.
30:58.640 --> 31:00.640
On the assumption that they're actually rigid,
31:00.640 --> 31:02.240
but that's not true.
31:02.240 --> 31:03.720
If you're flying really quickly,
31:03.720 --> 31:06.920
these effects become significant.
31:06.920 --> 31:09.240
If you're flying close to the ground,
31:09.240 --> 31:12.160
you get pushed off by the ground, right?
31:12.160 --> 31:14.920
Something which every pilot knows when he tries to land
31:14.920 --> 31:18.000
or she tries to land, this is called a ground effect.
31:18.920 --> 31:21.000
Something very few pilots think about
31:21.000 --> 31:23.040
is what happens when you go close to a ceiling
31:23.040 --> 31:25.320
or you get sucked into a ceiling.
31:25.320 --> 31:26.880
There are very few aircrafts
31:26.880 --> 31:29.520
that fly close to any kind of ceiling.
31:29.520 --> 31:33.520
Likewise, when you go close to a wall,
31:33.520 --> 31:35.720
there are these wall effects.
31:35.720 --> 31:37.680
And if you've gone on a train
31:37.680 --> 31:39.600
and you pass another train that's traveling
31:39.600 --> 31:42.400
in the opposite direction, you feel the buffeting.
31:42.400 --> 31:45.400
And so these kinds of microclimates
31:45.400 --> 31:47.880
affect our UAV significantly.
31:47.880 --> 31:48.720
So if you want...
31:48.720 --> 31:50.640
And they're impossible to model, essentially.
31:50.640 --> 31:52.480
I wouldn't say they're impossible to model,
31:52.480 --> 31:54.880
but the level of sophistication you would need
31:54.880 --> 31:58.600
in the model and the software would be tremendous.
32:00.000 --> 32:02.920
Plus, to get everything right would be awfully tedious.
32:02.920 --> 32:05.080
So the way we do this is over time,
32:05.080 --> 32:09.000
we figure out how to adapt to these conditions.
32:10.360 --> 32:13.160
So early on, we use the form of learning
32:13.160 --> 32:15.760
that we call iterative learning.
32:15.760 --> 32:18.600
So this idea, if you want to perform a task,
32:18.600 --> 32:22.120
there are a few things that you need to change
32:22.120 --> 32:24.960
and iterate over a few parameters
32:24.960 --> 32:29.280
that over time you can figure out.
32:29.280 --> 32:33.400
So I could call it policy gradient reinforcement learning,
32:33.400 --> 32:34.920
but actually it was just iterative learning.
32:34.920 --> 32:36.000
Iterative learning.
32:36.000 --> 32:37.800
And so this was there way back.
32:37.800 --> 32:39.440
I think what's interesting is,
32:39.440 --> 32:41.640
if you look at autonomous vehicles today,
32:43.120 --> 32:45.680
learning occurs, could occur in two pieces.
32:45.680 --> 32:47.960
One is perception, understanding the world.
32:47.960 --> 32:50.080
Second is action, taking actions.
32:50.080 --> 32:52.240
Everything that I've seen that is successful
32:52.240 --> 32:54.360
is on the perception side of things.
32:54.360 --> 32:55.400
So in computer vision,
32:55.400 --> 32:57.840
we've made amazing strides in the last 10 years.
32:57.840 --> 33:01.640
So recognizing objects, actually detecting objects,
33:01.640 --> 33:06.400
classifying them and tagging them in some sense,
33:06.400 --> 33:07.440
annotating them.
33:07.440 --> 33:09.640
This is all done through machine learning.
33:09.640 --> 33:12.160
On the action side, on the other hand,
33:12.160 --> 33:13.720
I don't know of any examples
33:13.720 --> 33:15.560
where there are fielded systems
33:15.560 --> 33:17.560
where we actually learn
33:17.560 --> 33:20.560
the right behavior.
33:20.560 --> 33:22.760
Outside of single demonstration is successful.
33:22.760 --> 33:24.640
In the laboratory, this is the holy grail.
33:24.640 --> 33:26.040
Can you do end to end learning?
33:26.040 --> 33:28.800
Can you go from pixels to motor currents?
33:30.200 --> 33:31.600
This is really, really hard.
33:32.800 --> 33:35.080
And I think if you go forward,
33:35.080 --> 33:37.600
the right way to think about these things
33:37.600 --> 33:40.720
is data driven approaches,
33:40.720 --> 33:42.400
learning based approaches,
33:42.400 --> 33:45.280
in concert with model based approaches,
33:45.280 --> 33:47.320
which is the traditional way of doing things.
33:47.320 --> 33:48.720
So I think there's a piece,
33:48.720 --> 33:51.400
there's a role for each of these methodologies.
33:51.400 --> 33:52.440
So what do you think,
33:52.440 --> 33:53.880
just jumping out on topic
33:53.880 --> 33:56.200
since you mentioned autonomous vehicles,
33:56.200 --> 33:58.480
what do you think are the limits on the perception side?
33:58.480 --> 34:01.080
So I've talked to Elon Musk
34:01.080 --> 34:03.320
and there on the perception side,
34:03.320 --> 34:05.960
they're using primarily computer vision
34:05.960 --> 34:08.080
to perceive the environment.
34:08.080 --> 34:09.760
In your work with,
34:09.760 --> 34:12.560
because you work with the real world a lot
34:12.560 --> 34:13.720
and the physical world,
34:13.720 --> 34:15.800
what are the limits of computer vision?
34:15.800 --> 34:18.000
Do you think we can solve autonomous vehicles
34:19.160 --> 34:20.880
on the perception side,
34:20.880 --> 34:24.240
focusing on vision alone and machine learning?
34:24.240 --> 34:27.480
So, we also have a spinoff company,
34:27.480 --> 34:31.840
Exxon Technologies that works underground in mines.
34:31.840 --> 34:35.600
So you go into mines, they're dark, they're dirty.
34:36.480 --> 34:38.600
You fly in a dirty area,
34:38.600 --> 34:41.120
there's stuff you kick up from by the propellers,
34:41.120 --> 34:42.720
the downwash kicks up dust.
34:42.720 --> 34:45.520
I challenge you to get a computer vision algorithm
34:45.520 --> 34:46.680
to work there.
34:46.680 --> 34:49.600
So we use LIDARs in that setting.
34:51.200 --> 34:55.360
Indoors and even outdoors when we fly through fields,
34:55.360 --> 34:57.120
I think there's a lot of potential
34:57.120 --> 34:59.960
for just solving the problem using computer vision alone.
35:01.240 --> 35:02.760
But I think the bigger question is,
35:02.760 --> 35:06.160
can you actually solve
35:06.160 --> 35:09.440
or can you actually identify all the corner cases
35:09.440 --> 35:13.920
using a single sensing modality and using learning alone?
35:13.920 --> 35:15.400
So what's your intuition there?
35:15.400 --> 35:17.920
So look, if you have a corner case
35:17.920 --> 35:20.000
and your algorithm doesn't work,
35:20.000 --> 35:23.200
your instinct is to go get data about the corner case
35:23.200 --> 35:26.640
and patch it up, learn how to deal with that corner case.
35:27.640 --> 35:32.040
But at some point, this is gonna saturate,
35:32.040 --> 35:34.200
this approach is not viable.
35:34.200 --> 35:38.000
So today, computer vision algorithms can detect
35:38.000 --> 35:41.360
90% of the objects or can detect objects 90% of the time,
35:41.360 --> 35:43.920
classify them 90% of the time.
35:43.920 --> 35:47.960
Cats on the internet probably can do 95%, I don't know.
35:47.960 --> 35:52.520
But to get from 90% to 99%, you need a lot more data.
35:52.520 --> 35:54.480
And then I tell you, well, that's not enough
35:54.480 --> 35:56.680
because I have a safety critical application,
35:56.680 --> 36:00.160
I wanna go from 99% to 99.9%.
36:00.160 --> 36:01.600
That's even more data.
36:01.600 --> 36:08.600
So I think if you look at wanting accuracy on the X axis
36:09.600 --> 36:14.080
and look at the amount of data on the Y axis,
36:14.080 --> 36:16.440
I believe that curve is an exponential curve.
36:16.440 --> 36:19.480
Wow, okay, it's even hard if it's linear.
36:19.480 --> 36:20.800
It's hard if it's linear, totally,
36:20.800 --> 36:22.560
but I think it's exponential.
36:22.560 --> 36:24.120
And the other thing you have to think about
36:24.120 --> 36:29.600
is that this process is a very, very power hungry process
36:29.600 --> 36:32.880
to run data farms or servers.
36:32.880 --> 36:34.600
Power, do you mean literally power?
36:34.600 --> 36:36.600
Literally power, literally power.
36:36.600 --> 36:41.760
So in 2014, five years ago, and I don't have more recent data,
36:41.760 --> 36:48.360
2% of US electricity consumption was from data farms.
36:48.360 --> 36:52.080
So we think about this as an information science
36:52.080 --> 36:54.240
and information processing problem.
36:54.240 --> 36:57.840
Actually, it is an energy processing problem.
36:57.840 --> 37:00.440
And so unless we figured out better ways of doing this,
37:00.440 --> 37:02.440
I don't think this is viable.
37:02.440 --> 37:06.600
So talking about driving, which is a safety critical application
37:06.600 --> 37:10.440
and some aspect of flight is safety critical,
37:10.440 --> 37:12.960
maybe philosophical question, maybe an engineering one,
37:12.960 --> 37:15.000
what problem do you think is harder to solve,
37:15.000 --> 37:18.120
autonomous driving or autonomous flight?
37:18.120 --> 37:19.920
That's a really interesting question.
37:19.920 --> 37:25.440
I think autonomous flight has several advantages
37:25.440 --> 37:29.360
that autonomous driving doesn't have.
37:29.360 --> 37:32.400
So look, if I want to go from point A to point B,
37:32.400 --> 37:34.320
I have a very, very safe trajectory.
37:34.320 --> 37:36.800
Go vertically up to a maximum altitude,
37:36.800 --> 37:39.480
fly horizontally to just about the destination,
37:39.480 --> 37:42.400
and then come down vertically.
37:42.400 --> 37:45.400
This is preprogrammed.
37:45.400 --> 37:48.040
The equivalent of that is very hard to find
37:48.040 --> 37:51.560
in the self driving car world because you're on the ground,
37:51.560 --> 37:53.560
you're in a two dimensional surface,
37:53.560 --> 37:56.680
and the trajectories on the two dimensional surface
37:56.680 --> 38:00.200
are more likely to encounter obstacles.
38:00.200 --> 38:03.280
I mean this in an intuitive sense, but mathematically true.
38:03.280 --> 38:06.360
That's mathematically as well, that's true.
38:06.360 --> 38:10.040
There's other option on the 2G space of platooning,
38:10.040 --> 38:11.640
or because there's so many obstacles,
38:11.640 --> 38:13.280
you can connect with those obstacles
38:13.280 --> 38:14.560
and all these kind of options.
38:14.560 --> 38:16.560
Sure, but those exist in the three dimensional space as well.
38:16.560 --> 38:17.560
So they do.
38:17.560 --> 38:21.800
So the question also implies how difficult are obstacles
38:21.800 --> 38:23.800
in the three dimensional space in flight?
38:23.800 --> 38:25.600
So that's the downside.
38:25.600 --> 38:26.920
I think in three dimensional space,
38:26.920 --> 38:29.080
you're modeling three dimensional world,
38:29.080 --> 38:31.280
not just because you want to avoid it,
38:31.280 --> 38:33.040
but you want to reason about it,
38:33.040 --> 38:35.360
and you want to work in the three dimensional environment,
38:35.360 --> 38:37.480
and that's significantly harder.
38:37.480 --> 38:38.920
So that's one disadvantage.
38:38.920 --> 38:41.040
I think the second disadvantage is of course,
38:41.040 --> 38:43.200
anytime you fly, you have to put up
38:43.200 --> 38:46.560
with the peculiarities of aerodynamics
38:46.560 --> 38:48.720
and their complicated environments.
38:48.720 --> 38:49.800
How do you negotiate that?
38:49.800 --> 38:51.880
So that's always a problem.
38:51.880 --> 38:55.240
Do you see a time in the future where there is,
38:55.240 --> 38:58.720
you mentioned there's agriculture applications.
38:58.720 --> 39:01.680
So there's a lot of applications of flying robots,
39:01.680 --> 39:03.040
but do you see a time in the future
39:03.040 --> 39:05.360
where there's tens of thousands,
39:05.360 --> 39:08.160
or maybe hundreds of thousands of delivery drones
39:08.160 --> 39:12.160
that fill the sky, delivery flying robots?
39:12.160 --> 39:14.200
I think there's a lot of potential
39:14.200 --> 39:15.920
for the last mile delivery.
39:15.920 --> 39:19.240
And so in crowded cities, I don't know,
39:19.240 --> 39:21.400
if you go to a place like Hong Kong,
39:21.400 --> 39:24.400
just crossing the river can take half an hour,
39:24.400 --> 39:29.400
and while a drone can just do it in five minutes at most.
39:29.400 --> 39:34.400
I think you look at delivery of supplies to remote villages.
39:35.800 --> 39:38.680
I work with a nonprofit called Weave Robotics.
39:38.680 --> 39:40.920
So they work in the Peruvian Amazon,
39:40.920 --> 39:44.680
where the only highways that are available
39:44.680 --> 39:47.440
are the only highways or rivers.
39:47.440 --> 39:52.440
And to get from point A to point B may take five hours,
39:52.960 --> 39:55.600
while with a drone, you can get there in 30 minutes.
39:56.680 --> 39:59.880
So just delivering drugs,
39:59.880 --> 40:04.880
retrieving samples for testing vaccines,
40:05.160 --> 40:07.120
I think there's huge potential here.
40:07.120 --> 40:09.960
So I think the challenges are not technological,
40:09.960 --> 40:12.040
but the challenge is economical.
40:12.040 --> 40:15.560
The one thing I'll tell you that nobody thinks about
40:15.560 --> 40:18.920
is the fact that we've not made huge strides
40:18.920 --> 40:20.840
in battery technology.
40:20.840 --> 40:23.520
Yes, it's true, batteries are becoming less expensive
40:23.520 --> 40:26.240
because we have these mega factories that are coming up,
40:26.240 --> 40:28.800
but they're all based on lithium based technologies.
40:28.800 --> 40:31.480
And if you look at the energy density
40:31.480 --> 40:33.240
and the power density,
40:33.240 --> 40:38.000
those are two fundamentally limiting numbers.
40:38.000 --> 40:39.680
So power density is important
40:39.680 --> 40:42.480
because for a UAV to take off vertically into the air,
40:42.480 --> 40:46.360
which most drones do, they don't have a runway,
40:46.360 --> 40:50.240
you consume roughly 200 watts per kilo at the small size.
40:51.560 --> 40:53.920
That's a lot, right?
40:53.920 --> 40:57.520
In contrast, the human brain consumes less than 80 watts,
40:57.520 --> 40:58.920
the whole of the human brain.
40:59.920 --> 41:03.600
So just imagine just lifting yourself into the air
41:03.600 --> 41:06.000
is like two or three light bulbs,
41:06.000 --> 41:07.840
which makes no sense to me.
41:07.840 --> 41:10.440
Yeah, so you're going to have to at scale
41:10.440 --> 41:12.880
solve the energy problem then,
41:12.880 --> 41:17.880
charging the batteries, storing the energy and so on.
41:18.920 --> 41:20.680
And then the storage is the second problem,
41:20.680 --> 41:22.960
but storage limits the range.
41:22.960 --> 41:27.960
But you have to remember that you have to burn
41:28.680 --> 41:31.600
a lot of it per given time.
41:31.600 --> 41:32.920
So the burning is another problem.
41:32.920 --> 41:34.640
Which is a power question.
41:34.640 --> 41:38.640
Yes, and do you think just your intuition,
41:38.640 --> 41:43.640
there are breakthroughs in batteries on the horizon?
41:44.960 --> 41:46.440
How hard is that problem?
41:46.440 --> 41:47.600
Look, there are a lot of companies
41:47.600 --> 41:52.600
that are promising flying cars that are autonomous
41:53.880 --> 41:55.120
and that are clean.
41:59.400 --> 42:01.680
I think they're over promising.
42:01.680 --> 42:04.800
The autonomy piece is doable.
42:04.800 --> 42:07.040
The clean piece, I don't think so.
42:08.000 --> 42:11.840
There's another company that I work with called JetOptra.
42:11.840 --> 42:14.360
They make small jet engines.
42:15.760 --> 42:18.080
And they can get up to 50 miles an hour very easily
42:18.080 --> 42:19.960
and lift 50 kilos.
42:19.960 --> 42:22.840
But they're jet engines, they're efficient,
42:23.920 --> 42:26.320
they're a little louder than electric vehicles,
42:26.320 --> 42:28.960
but they can build flying cars.
42:28.960 --> 42:32.440
So your sense is that there's a lot of pieces
42:32.440 --> 42:33.520
that have come together.
42:33.520 --> 42:37.360
So on this crazy question,
42:37.360 --> 42:39.720
if you look at companies like Kitty Hawk,
42:39.720 --> 42:42.080
working on electric, so the clean,
42:43.880 --> 42:45.840
talking to Sebastian Thrun, right?
42:45.840 --> 42:48.840
It's a crazy dream, you know?
42:48.840 --> 42:52.080
But you work with flight a lot.
42:52.080 --> 42:55.760
You've mentioned before that manned flights
42:55.760 --> 43:00.760
or carrying a human body is very difficult to do.
43:01.640 --> 43:04.240
So how crazy is flying cars?
43:04.240 --> 43:05.400
Do you think there'll be a day
43:05.400 --> 43:10.400
when we have vertical takeoff and landing vehicles
43:11.080 --> 43:14.040
that are sufficiently affordable
43:14.960 --> 43:17.440
that we're going to see a huge amount of them?
43:17.440 --> 43:19.680
And they would look like something like we dream of
43:19.680 --> 43:21.080
when we think about flying cars.
43:21.080 --> 43:22.200
Yeah, like the Jetsons.
43:22.200 --> 43:23.160
The Jetsons, yeah.
43:23.160 --> 43:25.560
So look, there are a lot of smart people working on this
43:25.560 --> 43:29.640
and you never say something is not possible
43:29.640 --> 43:32.200
when you have people like Sebastian Thrun working on it.
43:32.200 --> 43:35.160
So I totally think it's viable.
43:35.160 --> 43:38.240
I question, again, the electric piece.
43:38.240 --> 43:39.520
The electric piece, yeah.
43:39.520 --> 43:41.680
And again, for short distances, you can do it.
43:41.680 --> 43:43.640
And there's no reason to suggest
43:43.640 --> 43:45.840
that these all just have to be rotorcrafts.
43:45.840 --> 43:46.920
You take off vertically,
43:46.920 --> 43:49.680
but then you morph into a forward flight.
43:49.680 --> 43:51.600
I think there are a lot of interesting designs.
43:51.600 --> 43:56.040
The question to me is, are these economically viable?
43:56.040 --> 43:59.160
And if you agree to do this with fossil fuels,
43:59.160 --> 44:01.960
it instantly immediately becomes viable.
44:01.960 --> 44:03.480
That's a real challenge.
44:03.480 --> 44:06.560
Do you think it's possible for robots and humans
44:06.560 --> 44:08.840
to collaborate successfully on tasks?
44:08.840 --> 44:13.640
So a lot of robotics folks that I talk to and work with,
44:13.640 --> 44:18.000
I mean, humans just add a giant mess to the picture.
44:18.000 --> 44:20.320
So it's best to remove them from consideration
44:20.320 --> 44:22.400
when solving specific tasks.
44:22.400 --> 44:23.600
It's very difficult to model.
44:23.600 --> 44:26.000
There's just a source of uncertainty.
44:26.000 --> 44:31.000
In your work with these agile flying robots,
44:32.560 --> 44:35.680
do you think there's a role for collaboration with humans?
44:35.680 --> 44:38.600
Or is it best to model tasks in a way
44:38.600 --> 44:43.400
that doesn't have a human in the picture?
44:43.400 --> 44:46.760
Well, I don't think we should ever think about robots
44:46.760 --> 44:48.120
without human in the picture.
44:48.120 --> 44:50.960
Ultimately, robots are there because we want them
44:50.960 --> 44:54.360
to solve problems for humans.
44:54.360 --> 44:58.280
But there's no general solution to this problem.
44:58.280 --> 45:00.000
I think if you look at human interaction
45:00.000 --> 45:02.400
and how humans interact with robots,
45:02.400 --> 45:05.280
you know, we think of these in sort of three different ways.
45:05.280 --> 45:07.600
One is the human commanding the robot.
45:08.880 --> 45:12.880
The second is the human collaborating with the robot.
45:12.880 --> 45:15.520
So for example, we work on how a robot
45:15.520 --> 45:18.720
can actually pick up things with a human and carry things.
45:18.720 --> 45:20.880
That's like true collaboration.
45:20.880 --> 45:25.000
And third, we think about humans as bystanders,
45:25.000 --> 45:27.240
self driving cars, what's the human's role
45:27.240 --> 45:30.320
and how do self driving cars
45:30.320 --> 45:32.920
acknowledge the presence of humans?
45:32.920 --> 45:35.840
So I think all of these things are different scenarios.
45:35.840 --> 45:38.480
It depends on what kind of humans, what kind of task.
45:39.640 --> 45:41.840
And I think it's very difficult to say
45:41.840 --> 45:45.520
that there's a general theory that we all have for this.
45:45.520 --> 45:48.440
But at the same time, it's also silly to say
45:48.440 --> 45:52.000
that we should think about robots independent of humans.
45:52.000 --> 45:55.760
So to me, human robot interaction
45:55.760 --> 45:59.760
is almost a mandatory aspect of everything we do.
45:59.760 --> 46:02.440
Yes, but to which degree, so your thoughts,
46:02.440 --> 46:05.240
if we jump to autonomous vehicles, for example,
46:05.240 --> 46:08.680
there's a big debate between what's called
46:08.680 --> 46:10.640
level two and level four.
46:10.640 --> 46:13.680
So semi autonomous and autonomous vehicles.
46:13.680 --> 46:16.440
And so the Tesla approach currently at least
46:16.440 --> 46:18.960
has a lot of collaboration between human and machine.
46:18.960 --> 46:22.040
So the human is supposed to actively supervise
46:22.040 --> 46:23.880
the operation of the robot.
46:23.880 --> 46:28.880
Part of the safety definition of how safe a robot is
46:29.160 --> 46:32.880
in that case is how effective is the human in monitoring it.
46:32.880 --> 46:37.880
Do you think that's ultimately not a good approach
46:37.880 --> 46:42.360
in sort of having a human in the picture,
46:42.360 --> 46:47.360
not as a bystander or part of the infrastructure,
46:47.400 --> 46:50.000
but really as part of what's required
46:50.000 --> 46:51.560
to make the system safe?
46:51.560 --> 46:53.720
This is harder than it sounds.
46:53.720 --> 46:58.200
I think, you know, if you, I mean,
46:58.200 --> 47:01.360
I'm sure you've driven before in highways and so on.
47:01.360 --> 47:06.120
It's really very hard to have to relinquish control
47:06.120 --> 47:10.440
to a machine and then take over when needed.
47:10.440 --> 47:12.280
So I think Tesla's approach is interesting
47:12.280 --> 47:14.800
because it allows you to periodically establish
47:14.800 --> 47:18.520
some kind of contact with the car.
47:18.520 --> 47:20.640
Toyota, on the other hand, is thinking about
47:20.640 --> 47:24.800
shared autonomy or collaborative autonomy as a paradigm.
47:24.800 --> 47:27.480
If I may argue, these are very, very simple ways
47:27.480 --> 47:29.680
of human robot collaboration,
47:29.680 --> 47:31.880
because the task is pretty boring.
47:31.880 --> 47:35.000
You sit in a vehicle, you go from point A to point B.
47:35.000 --> 47:37.360
I think the more interesting thing to me is,
47:37.360 --> 47:38.760
for example, search and rescue.
47:38.760 --> 47:41.980
I've got a human first responder, robot first responders.
47:43.160 --> 47:45.120
I gotta do something.
47:45.120 --> 47:46.000
It's important.
47:46.000 --> 47:47.800
I have to do it in two minutes.
47:47.800 --> 47:49.240
The building is burning.
47:49.240 --> 47:50.440
There's been an explosion.
47:50.440 --> 47:51.360
It's collapsed.
47:51.360 --> 47:52.800
How do I do it?
47:52.800 --> 47:54.740
I think to me, those are the interesting things
47:54.740 --> 47:57.160
where it's very, very unstructured.
47:57.160 --> 47:58.480
And what's the role of the human?
47:58.480 --> 48:00.200
What's the role of the robot?
48:00.200 --> 48:02.440
Clearly, there's lots of interesting challenges
48:02.440 --> 48:03.440
and there's a field.
48:03.440 --> 48:05.760
I think we're gonna make a lot of progress in this area.
48:05.760 --> 48:07.600
Yeah, it's an exciting form of collaboration.
48:07.600 --> 48:08.440
You're right.
48:08.440 --> 48:11.120
In autonomous driving, the main enemy
48:11.120 --> 48:13.120
is just boredom of the human.
48:13.120 --> 48:13.960
Yes.
48:13.960 --> 48:15.680
As opposed to in rescue operations,
48:15.680 --> 48:18.360
it's literally life and death.
48:18.360 --> 48:22.080
And the collaboration enables
48:22.080 --> 48:23.820
the effective completion of the mission.
48:23.820 --> 48:24.760
So it's exciting.
48:24.760 --> 48:27.400
In some sense, we're also doing this.
48:27.400 --> 48:30.520
You think about the human driving a car
48:30.520 --> 48:33.800
and almost invariably, the human's trying
48:33.800 --> 48:35.000
to estimate the state of the car,
48:35.000 --> 48:37.280
they estimate the state of the environment and so on.
48:37.280 --> 48:40.120
But what if the car were to estimate the state of the human?
48:40.120 --> 48:41.960
So for example, I'm sure you have a smartphone
48:41.960 --> 48:44.580
and the smartphone tries to figure out what you're doing
48:44.580 --> 48:48.320
and send you reminders and oftentimes telling you
48:48.320 --> 48:49.540
to drive to a certain place,
48:49.540 --> 48:51.400
although you have no intention of going there
48:51.400 --> 48:53.880
because it thinks that that's where you should be
48:53.880 --> 48:56.240
because of some Gmail calendar entry
48:57.520 --> 48:58.960
or something like that.
48:58.960 --> 49:01.600
And it's trying to constantly figure out who you are,
49:01.600 --> 49:02.740
what you're doing.
49:02.740 --> 49:04.200
If a car were to do that,
49:04.200 --> 49:06.840
maybe that would make the driver safer
49:06.840 --> 49:08.160
because the car is trying to figure out
49:08.160 --> 49:09.760
is the driver paying attention,
49:09.760 --> 49:11.600
looking at his or her eyes,
49:12.480 --> 49:14.400
looking at circadian movements.
49:14.400 --> 49:16.480
So I think the potential is there,
49:16.480 --> 49:18.600
but from the reverse side,
49:18.600 --> 49:21.640
it's not robot modeling, but it's human modeling.
49:21.640 --> 49:22.880
It's more on the human, right.
49:22.880 --> 49:25.320
And I think the robots can do a very good job
49:25.320 --> 49:29.120
of modeling humans if you really think about the framework
49:29.120 --> 49:32.640
that you have a human sitting in a cockpit,
49:32.640 --> 49:35.820
surrounded by sensors, all staring at him,
49:35.820 --> 49:37.860
in addition to be staring outside,
49:37.860 --> 49:39.160
but also staring at him.
49:39.160 --> 49:40.960
I think there's a real synergy there.
49:40.960 --> 49:42.360
Yeah, I love that problem
49:42.360 --> 49:45.560
because it's the new 21st century form of psychology,
49:45.560 --> 49:48.520
actually AI enabled psychology.
49:48.520 --> 49:51.280
A lot of people have sci fi inspired fears
49:51.280 --> 49:54.080
of walking robots like those from Boston Dynamics.
49:54.080 --> 49:56.480
If you just look at shows on Netflix and so on,
49:56.480 --> 49:59.040
or flying robots like those you work with,
49:59.920 --> 50:03.160
how would you, how do you think about those fears?
50:03.160 --> 50:05.040
How would you alleviate those fears?
50:05.040 --> 50:09.040
Do you have inklings, echoes of those same concerns?
50:09.040 --> 50:11.760
You know, anytime we develop a technology
50:11.760 --> 50:14.160
meaning to have positive impact in the world,
50:14.160 --> 50:15.780
there's always the worry that,
50:17.440 --> 50:21.000
you know, somebody could subvert those technologies
50:21.000 --> 50:23.280
and use it in an adversarial setting.
50:23.280 --> 50:25.280
And robotics is no exception, right?
50:25.280 --> 50:29.280
So I think it's very easy to weaponize robots.
50:29.280 --> 50:30.880
I think we talk about swarms.
50:31.720 --> 50:33.960
One thing I worry a lot about is,
50:33.960 --> 50:35.880
so, you know, for us to get swarms to work
50:35.880 --> 50:38.280
and do something reliably, it's really hard.
50:38.280 --> 50:42.040
But suppose I have this challenge
50:42.040 --> 50:44.360
of trying to destroy something,
50:44.360 --> 50:45.720
and I have a swarm of robots,
50:45.720 --> 50:47.280
where only one out of the swarm
50:47.280 --> 50:48.920
needs to get to its destination.
50:48.920 --> 50:52.640
So that suddenly becomes a lot more doable.
50:52.640 --> 50:54.720
And so I worry about, you know,
50:54.720 --> 50:56.920
this general idea of using autonomy
50:56.920 --> 50:58.600
with lots and lots of agents.
51:00.040 --> 51:01.320
I mean, having said that, look,
51:01.320 --> 51:03.760
a lot of this technology is not very mature.
51:03.760 --> 51:05.520
My favorite saying is that
51:06.560 --> 51:10.520
if somebody had to develop this technology,
51:10.520 --> 51:12.320
wouldn't you rather the good guys do it?
51:12.320 --> 51:13.880
So the good guys have a good understanding
51:13.880 --> 51:15.560
of the technology, so they can figure out
51:15.560 --> 51:18.320
how this technology is being used in a bad way,
51:18.320 --> 51:21.360
or could be used in a bad way and try to defend against it.
51:21.360 --> 51:22.760
So we think a lot about that.
51:22.760 --> 51:25.400
So we have, we're doing research
51:25.400 --> 51:28.240
on how to defend against swarms, for example.
51:28.240 --> 51:29.600
That's interesting.
51:29.600 --> 51:32.960
There's in fact a report by the National Academies
51:32.960 --> 51:35.520
on counter UAS technologies.
51:36.680 --> 51:38.200
This is a real threat,
51:38.200 --> 51:40.320
but we're also thinking about how to defend against this
51:40.320 --> 51:42.920
and knowing how swarms work.
51:42.920 --> 51:47.160
Knowing how autonomy works is, I think, very important.
51:47.160 --> 51:49.280
So it's not just politicians?
51:49.280 --> 51:51.640
Do you think engineers have a role in this discussion?
51:51.640 --> 51:52.480
Absolutely.
51:52.480 --> 51:55.280
I think the days where politicians
51:55.280 --> 51:57.680
can be agnostic to technology are gone.
51:59.200 --> 52:02.640
I think every politician needs to be
52:03.840 --> 52:05.680
literate in technology.
52:05.680 --> 52:08.640
And I often say technology is the new liberal art.
52:09.800 --> 52:12.920
Understanding how technology will change your life,
52:12.920 --> 52:14.480
I think is important.
52:14.480 --> 52:18.080
And every human being needs to understand that.
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And maybe we can elect some engineers
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to office as well on the other side.
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What are the biggest open problems in robotics?
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And you said we're in the early days in some sense.
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What are the problems we would like to solve in robotics?
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I think there are lots of problems, right?
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But I would phrase it in the following way.
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If you look at the robots we're building,
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they're still very much tailored towards
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doing specific tasks and specific settings.
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I think the question of how do you get them to operate
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in much broader settings
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where things can change in unstructured environments
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is up in the air.
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So think of self driving cars.
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Today, we can build a self driving car in a parking lot.
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We can do level five autonomy in a parking lot.
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But can you do a level five autonomy
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in the streets of Napoli in Italy or Mumbai in India?
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No.
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So in some sense, when we think about robotics,
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we have to think about where they're functioning,
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what kind of environment, what kind of a task.
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We have no understanding
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of how to put both those things together.
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So we're in the very early days
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of applying it to the physical world.
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And I was just in Naples actually.
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And there's levels of difficulty and complexity
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depending on which area you're applying it to.
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I think so.
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And we don't have a systematic way of understanding that.
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Everybody says, just because a computer
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can now beat a human at any board game,
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we certainly know something about intelligence.
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That's not true.
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A computer board game is very, very structured.
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It is the equivalent of working in a Henry Ford factory
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where things, parts come, you assemble, move on.
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It's a very, very, very structured setting.
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That's the easiest thing.
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And we know how to do that.
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So you've done a lot of incredible work
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at the UPenn, University of Pennsylvania, GraspLab.
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You're now Dean of Engineering at UPenn.
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What advice do you have for a new bright eyed undergrad
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interested in robotics or AI or engineering?
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Well, I think there's really three things.
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One is you have to get used to the idea
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that the world will not be the same in five years
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or four years whenever you graduate, right?
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Which is really hard to do.
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So this thing about predicting the future,
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every one of us needs to be trying
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to predict the future always.
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Not because you'll be any good at it,
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but by thinking about it,
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I think you sharpen your senses and you become smarter.
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So that's number one.
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Number two, it's a corollary of the first piece,
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which is you really don't know what's gonna be important.
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So this idea that I'm gonna specialize in something
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which will allow me to go in a particular direction,
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it may be interesting,
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but it's important also to have this breadth
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so you have this jumping off point.
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I think the third thing,
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and this is where I think Penn excels.
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I mean, we teach engineering,
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but it's always in the context of the liberal arts.
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It's always in the context of society.
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As engineers, we cannot afford to lose sight of that.
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So I think that's important.
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But I think one thing that people underestimate
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when they do robotics
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is the importance of mathematical foundations,
55:43.440 --> 55:46.880
the importance of representations.
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Not everything can just be solved
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by looking for Ross packages on the internet
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or to find a deep neural network that works.
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I think the representation question is key,
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even to machine learning,
56:00.400 --> 56:05.400
where if you ever hope to achieve or get to explainable AI,
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somehow there need to be representations
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that you can understand.
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So if you wanna do robotics,
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you should also do mathematics.
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And you said liberal arts, a little literature.
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If you wanna build a robot,
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it should be reading Dostoyevsky.
56:19.320 --> 56:20.360
I agree with that.
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Very good.
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So Vijay, thank you so much for talking today.
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It was an honor.
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Thank you.
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It was just a very exciting conversation.
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Thank you.
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