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@@ -234,4 +234,6 @@ When pre-training Lippershey-Base, use the following guidelines to evaluate the
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  * Validation Loss (MSE): Measures how accurately the model reconstructs the continuous coefficients. A healthy convergence on structured MILPs should see `val/loss` drop below 0.15 (L1 average absolute error $\approx 0.38$ on $[-1, 1]$ scale).
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  * Grad Norm (L2): Should stabilize between 0.3 and 1.0. Constant clipping to 1.0 indicates learning rate is too high; an decaying gradient norm towards 0 without loss convergence indicates gradient vanishing.
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- * Prediction Mean Convergence: Check `train/pred_mean` against `train/true_mean`. They should overlap near the $0$ axis, indicating the model's global prediction scale matches the mathematical distribution of your planning domain.
 
 
 
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  * Validation Loss (MSE): Measures how accurately the model reconstructs the continuous coefficients. A healthy convergence on structured MILPs should see `val/loss` drop below 0.15 (L1 average absolute error $\approx 0.38$ on $[-1, 1]$ scale).
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  * Grad Norm (L2): Should stabilize between 0.3 and 1.0. Constant clipping to 1.0 indicates learning rate is too high; an decaying gradient norm towards 0 without loss convergence indicates gradient vanishing.
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+ * Prediction Mean Convergence: Check `train/pred_mean` against `train/true_mean`. They should overlap near the $0$ axis, indicating the model's global prediction scale matches the mathematical distribution of your planning domain.
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+ ![](https://huggingface.co/Chunjiang-Intelligence/Lippershey-Base/resolve/main/train.jpg)