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cs.LG2025

Fundamental Limits of Crystalline Equivariant Graph Neural Networks: A Circuit Complexity Perspective

Yang Cao, Zhao Song, Jiahao Zhang +1

Graph neural networks (GNNs) have become a core paradigm for learning on relational data. In materials science, equivariant GNNs (EGNNs) have emerged as a compelling backbone for c…

cs.LG2025

Towards High-Order Mean Flow Generative Models: Feasibility, Expressivity, and Provably Efficient Criteria

Yang Cao, Yubin Chen, Zhao Song +1

Generative modelling has seen significant advances through simulation-free paradigms such as Flow Matching, and in particular, the MeanFlow framework, which replaces instantaneous…

cs.LG2025

SORSA: Singular Values and Orthonormal Regularized Singular Vectors Adaptation of Large Language Models

Yang Cao, Zhao Song

In this paper, we propose Singular Values and Orthonormal Regularized Singular Vectors Adaptation, or SORSA, a novel parameter efficient fine-tuning (PEFT) method. Each SORSA adapt…

cs.LG2025

Grams: Gradient Descent with Adaptive Momentum Scaling

Yang Cao, Xiaoyu Li, Zhao Song

We introduce radient Descent with daptive omentum caling (), a novel optimization algorithm that decouples the direc…

cs.LG2025

Force Matching with Relativistic Constraints: A Physics-Inspired Approach to Stable and Efficient Generative Modeling

Yang Cao, Bo Chen, Xiaoyu Li +5

This paper introduces Force Matching (ForM), a novel framework for generative modeling that represents an initial exploration into leveraging special relativistic mechanics to enha…