Trust Functions: Near-Lossless Weak-to-Strong Generalization by Learning When to Trust the Weak Teacher
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Abstract (arXiv)
Weak-to-strong generalization studies how to improve a strong student using supervision from a weaker teacher when reliable labels are scarce. We view this primarily as a data selection problem, where the key challenge is to identify which weak labels are reliable enough to serve as a training signal. To address this, we introduce trust functions that assign each weak label a scalar trust score and use these scores to filter weak supervision. Across several domains, including world knowledge, quantitative reasoning, and strategy games, trust filtering yields students that match and sometimes surpass ground-truth supervision, achieving near-lossless weak-to-strong generalization. Moreover, trust functions enable an iterative weak-to-strong chain that compounds gains by training a student and reusing it as the next teacher, amplifying the gains. There are several mechanisms to which advantage of trust functions can be attributed.
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References · 44
- 2015Deep Residual Learning for Image Recognitioncited by 52,096
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- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 5,045
- 2017On Calibration of Modern Neural Networkscited by 4,960
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
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- 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,164
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 2,057
- 2020GLU Variants Improve Transformercited by 1,804
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