MIT's Soft-MTP Fixes Noisy Gradients in Multi-Token Prediction, Free Perplexity and Reasoning Gains

Massachusetts-Institute-of-Technology · hf · 2026-10-30

In a single-author MIT preprint, Jayden Teoh shows multi-token prediction leaks noisy negative gradients from the NTP loss into MTP heads via the shared LM head. Soft-MTP removes this residual with a straight-through KL recovery trick — h0[:, k:] += hk.detach() - hk — leaving h0 numerically unchanged and NTP gradients intact while recovering KL gradients. The fix improves perplexity, speculative decoding, and reasoning at no added cost.

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