SIGNALAI·May 26, 2026, 4:00 AMSignal75Medium term

Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning

Source: arXiv cs.LG

Share
Memorize Theorems, Not Instances: Probing SFT Generalization through Mathematical Reasoning

arXiv:2605.09270v2 Announce Type: replace Abstract: Supervised Fine-Tuning (SFT) is widely used for task-specific adaptation, yet recent work shows it systematically undermines reasoning generalization. We argue the root cause is not memorization itself, but its target: vanilla SFT drives models to exploit and memorize spurious surface correlations in problem-solution pairs, leaving them brittle to superficial input variations. To address this, we propose Theorem-SFT, which reorients supervision toward explicit theorem application by teaching models how rules are invoked rather than what answe

Why this matters
Why now

The proliferation of SFT models has exposed limitations in their reasoning generalization, necessitating immediate advancements in training methodologies.

Why it’s important

Improving SFT generalization in mathematical reasoning is critical for developing more robust and reliable AI systems capable of complex problem-solving.

What changes

This research shifts the focus of AI training from memorizing answers to understanding and applying underlying principles, potentially leading to more adaptable models.

Winners
  • · AI researchers
  • · Developers of AI agents
  • · Sectors requiring complex AI reasoning
  • · Educational AI platforms
Losers
  • · AI models reliant on superficial pattern matching
  • · Companies offering brittle AI reasoning solutions
Second-order effects
Direct

AI models will become more capable of abstract reasoning and less susceptible to minor input variations.

Second

This improved reasoning could accelerate scientific discovery and automate more complex cognitive tasks.

Third

A fundamental shift in AI's intellectual capabilities could lead to new forms of human-AI collaboration and agentic systems.

Editorial confidence: 90 / 100 · Structural impact: 60 / 100
Original report

This signal links to a primary source. Continuum Brief monitors and indexes it as part of the live intelligence stream — we do not republish source content.

Read at arXiv cs.LG
Tracked by The Continuum Brief · live intelligence network
Share
The Brief · Weekly Dispatch

Stay ahead of the systems reshaping markets.

By subscribing, you agree to receive updates from THE CONTINUUM BRIEF. You can unsubscribe at any time.