Update README.md

README.md

@@ -13,3 +13,20 @@ This model card accompanies the research paper, [Reversal Blessing: Thinking Bac
 
 Here we release 4 models' checkpoints trained with simulation data described in out paper Section 4. 
 Please follow our github README to download and evaluate these models.
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+### Results of the Controlled Simulation Study of 4-Digits Multiplication
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+| || **Forward X** | || **Reverse X** | |
+|:--|:--:|:--:|:--:|:--:|:--:|:--:|
+| | **L2R** | **R2L(m,n)** | **R2L(m)** | **R2L** | **L2R(m,n)** | **L2R(n)** |
+| **Test Accuracy (%)** | **99.81±0.15** | 59.71±1.99 | 60.93±0.88 | **100±0** | 97.82±0.35 | 99.85±0.10 |
+| **Train Accuracy (%)** | **99.76±0.15** | 59.03±1.66 | 61.22±1.12 | **100±0** | 97.90±0.42 | 99.98±0.04 |
+| **Test Cond. Ent. (nats)** | 0.06 | 1.18 | 0.08 | 0 | 0.84 | 0.01 |
+| **Train Cond. Ent. (nats)** | 0.06 | 1.17 | 0.08 | 0 | 0.83 | 0.01 |
+| **Theo. Cond. Ent. (nats)** | 0 | 1.49 | 0 | 0 | 1.49 | 0 |
+| **Training loss** | **0.86** | 0.94 | 0.94 | **0.86** | 0.94 | 0.94 |
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+</div>