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A Fix for Softmax and Cross-Entropy

Paper recorded by Signals 4 on 2026-10-22 in cs.LG. Abstract reproduced from arXiv; link to the original below.

Published 2026-10-22 on arXiv · recorded by Signals 4 on 2026-10-23

Category: cs.LG · 机器学习 · first seen 2026-10-23

Abstract

Standard implementations of softmax, log-softmax, and cross-entropy have two numerical bugs. The first bug, Softmax Collapse, rounds the target logit's gradient to zero if that one logit is much larger than the others, resulting in gradients that no longer sum to zero. The second bug, Softmax Cancellation, occurs when student logits are close to teacher logits, and produces non-zero gradients even

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#195 most recent of 749 cs.LG papers we have recorded · ↑ newer: SpectralCanary: Embarrassingly Simple Low-Frequency Traces for T2I Dat · ↓ older: BeNice! Closing Looping's Inference-Memory Gap via KV-Sharing
Cite this page: A Fix for Softmax and Cross-Entropy: the #195 most recent of 749 cs.LG papers we have recorded (as of 2026-10-22). Source: Signals 4 (Signals API) — https://data.jiangzhang.ca/signals4/t/papers/a-fix-for-softmax-and-cross-entropy.html
Free to quote with attribution to “Signals 4 (Signals API)”. Machine-readable: papers.json
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