Gradients¶
Gradient Issues¶
Especially for FP32 or lower precision
| Gradients __ exponentially during back-propagation | Weight gradients | Cause | Solution | |
|---|---|---|---|---|
| Vanishing (Converging) | shrink | Too small | Deep Networks | Weight-initialization Weights Scaling |
| Exploding (Diverging) | grow | Too large | Deep Networks | Weight-initialization Clipping |
| Large loss due to target with large range* | Target normalization |
- A target variable with a large spread of values, in turn, may result in large error gradient values causing weight values to change dramatically, making the learning process unstable
Gradient Clipping¶
rescales gradient to size at most \(\theta\).
\[ g \leftarrow \min \left( 1, \frac{\theta}{\vert g \vert} \right) g \]
If the weights are large, the gradients grow exponentially during back-propagation
2024-12-26