activity
20232026
most citedOn the Eigenvalue Decay Rates of a Class of Neural-Network Related Kernel Functions Defined on General Domains

1 citations · 1 across the 8 of their papers we have counts for

collaborators

11 papers

hep-ph2026

LLMs Can Tackle High Energy Theoretical Physics, yet Gaps Remain: Part I, Quantum Field Theory

Tong Liu, Bohan Li, Gongrui Cheng +3

Beyond math and code, Large language models (LLMs) are beginning to tackle problems that have traditionally required substantial training for theoretical physicists, but it remains…

cs.CL2026

DIAG: Diagnostic Iterative Alignment and Generation for Data-Efficient Mathematical Preference Distillation

Guhan Chen, Songtao Tian, Bohan Li +3

Iterative preference optimization is essential for aligning Large Language Models on mathematical reasoning tasks, yet its efficiency is often throttled by signal scarcity: as the…

cs.CV2026

Curvature-Adaptive Consistency Flow Matching: Autonomous Trajectory Optimization via Reinforcement Learning

Songtao Tian, Guhan Chen, Bohan Li +2

Consistency distillation has significantly accelerated diffusion-model inference, but its sampling dynamics remain underexplored. We reveal an asymmetry: although Logit-Normal samp…

cs.CL2026

MathAgent: Adversarial Evolution of Constraint Graphs for Mathematical Reasoning Data Synthesis

Zixiong Yu, Jun Rao, Guhan Chen +5

Synthesizing high-quality mathematical reasoning data without human priors remains a significant challenge. Current approaches typically rely on seed data mutation or simple prompt…

cs.CL2026

Mining or Synthesis? Rethinking Exploration Efficiency in Iterative Alignment of Mathematical Reasoning

Jun Rao, Zixiong Yu, Xuebo Liu +6

Iterative Direct Preference Optimization (DPO) has emerged as a widely used paradigm for aligning Large Language Models on reasoning tasks. Existing approaches typically rely on Be…

cs.AI2025

Dynamic Sampling that Adapts: Self-Aware Iterative Data Persistent Optimization for Mathematical Reasoning

Jun Rao, Xuebo Liu, Hexuan Deng +5

In mathematical reasoning, data selection strategies predominantly rely on static, externally defined metrics, which fail to adapt to the evolving capabilities of models during tra…

cs.LG2025

Divergence of Empirical Neural Tangent Kernel in Classification Problems

Zixiong Yu, Songtao Tian, Guhan Chen

This paper demonstrates that in classification problems, fully connected neural networks (FCNs) and residual neural networks (ResNets) cannot be approximated by kernel logistic reg…

cs.LG2024

Branch Scaling Manifests as Implicit Architectural Regularization for Improving Generalization in Overparameterized ResNets

Zixiong Yu, Guhan Chen, Jianfa Lai +2

Scaling factors in residual branches have emerged as a prevalent method for boosting neural network performance, especially in normalization-free architectures. While prior work ha…

math.ST2023

Functional Slicing-free Inverse Regression via Martingale Difference Divergence Operator

Songtao Tian, Zixiong Yu, Rui Chen

Functional sliced inverse regression (FSIR) is one of the most popular algorithms for functional sufficient dimension reduction (FSDR). However, the choice of slice scheme in FSIR…

stat.ML2023

Generalization Ability of Wide Residual Networks

Jianfa Lai, Zixiong Yu, Songtao Tian +1

In this paper, we study the generalization ability of the wide residual network on with the ReLU activation function. We first show that as the width $m\rightarr…

stat.ML2023★ 1 cited

On the Eigenvalue Decay Rates of a Class of Neural-Network Related Kernel Functions Defined on General Domains

Yicheng Li, Zixiong Yu, Guhan Chen +1

In this paper, we provide a strategy to determine the eigenvalue decay rate (EDR) of a large class of kernel functions defined on a general domain rather than . This…