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20242026
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cs.LG2026

INFUSER: Influence-Guided Self-Evolution Improves Reasoning

Siyu Chen, Miao Lu, Beining Wu +7

Self-evolution offers a scalable path to stronger reasoning: a pretrained language model improves itself with only minimal external supervision. Yet existing methods either depend…

cs.LG2026

Can Neural Networks Achieve Optimal Computational-statistical Tradeoff? An Analysis on Single-Index Model

Siyu Chen, Beining Wu, Miao Lu +2

In this work, we tackle the following question: Can neural networks trained with gradient-based methods achieve the optimal computational-statistical tradeoff in learning Gaussian…

cs.LG2026

Neural Networks Provably Learn Spectral Representations for Group Composition

Jianliang He, Leda Wang, Fengzhuo Zhang +2

Understanding how structured internal structure emerges during neural network training is central to the study of deep learning. We investigate this phenomenon through the group co…

cs.LG2026

On the Mechanism and Dynamics of Modular Addition: Fourier Features, Lottery Ticket, and Grokking

Jianliang He, Leda Wang, Siyu Chen +1

We present a comprehensive analysis of how two-layer neural networks learn features to solve the modular addition task. Our work provides a full mechanistic interpretation of the l…

cs.LG2025

Unlocking Out-of-Distribution Generalization in Transformers via Recursive Latent Space Reasoning

Awni Altabaa, Siyu Chen, John Lafferty +1

Systematic, compositional generalization beyond the training distribution remains a core challenge in machine learning -- and a critical bottleneck for the emergent reasoning abili…

cs.LG2025

Taming Polysemanticity in LLMs: Provable Feature Recovery via Sparse Autoencoders

Siyu Chen, Heejune Sheen, Xuyuan Xiong +2

We study the challenge of achieving theoretically grounded feature recovery using Sparse Autoencoders (SAEs) for the interpretation of Large Language Models. Existing SAE training…