---
dataset_info:
  features:
  - name: X
    sequence: float32
  - name: coefficients
    sequence: float32
  - name: y
    sequence: float32
  splits:
  - name: train
    num_bytes: 8280000
    num_examples: 10000
  - name: test
    num_bytes: 828000
    num_examples: 1000
  download_size: 13710543
  dataset_size: 9108000
configs:
- config_name: default
  data_files:
  - split: train
    path: data/train-*
  - split: test
    path: data/test-*
---

# Polynomial Dataset

## Dataset Summary

The Polynomial dataset is a collection of polynomial functions. 

Plot from the dataset:

![Polynomial Dataset](plot.png)

## Dataset Structure

The dataset is structured as follows.

### Subsets

The dataset has one subset:

- `default`: the default dataset.

### Splits

The dataset is divided into two splits:

- `train`: the training split, consisting of 10,000 rows.
- `test`: the test split, consisting of 1,000 rows.

### Columns

Each row in the dataset consists of the following columns:

- `X`: the input value of the function f.
- `y`: the value of the function f at X.
- `coefficients`: the coefficients of the polynomial function f.

### Data

The dataset contains the following data:

| Column       | Shape   | Type    | Range   |
|--------------|---------|---------|---------|
| X            | (100,)  | float   |         |
| y            | (100,)  | float   |         |
| coefficients | (3,)    | float   | [-1, 1] |