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cs.LG2026

OmniOpt: Taxonomy, Geometry, and Benchmarking of Modern Optimizers

Siyuan Li, Jiabao Pan, Yumou Liu +9

Optimizer selection for large-scale model training has become a system-level design decision constrained jointly by compute, memory, tuning budget, and task diversity, yet the land…

cs.LG2026

RMNP: Row-Momentum Normalized Preconditioning for Scalable Matrix-Based Optimization

Shenyang Deng, Zhuoli Ouyang, Tianyu Pang +4

Preconditioned adaptive methods have gained significant attention for training deep neural networks, as they capture rich curvature information of the loss landscape. The central c…

cs.LG2026

VecFormer: Towards Efficient and Generalizable Graph Transformer with Graph Token Attention

Jingbo Zhou, Jun Xia, Siyuan Li +11

Graph Transformer has demonstrated impressive capabilities in the field of graph representation learning. However, existing approaches face two critical challenges: (1) most models…

cs.LG2026

Depth, Not Data: An Analysis of Hessian Spectral Bifurcation

Shenyang Deng, Boyao Liao, Zhuoli Ouyang +2

The eigenvalue distribution of the Hessian matrix plays a crucial role in understanding the optimization landscape of deep neural networks. Prior work has attributed the well-docum…

cs.LG2026

Understanding Generalization from Embedding Dimension and Distributional Convergence

Junjie Yu, Zhuoli Ouyang, Haotian Deng +5

Deep neural networks often generalize well despite heavy over-parameterization, challenging classical parameter-based analyses. We study generalization from a representation-centri…

cs.LG2026

Suspicious Alignment of SGD: A Fine-Grained Step Size Condition Analysis

Shenyang Deng, Boyao Liao, Zhuoli Ouyang +3

This paper explores the suspicious alignment phenomenon in stochastic gradient descent (SGD) under ill-conditioned optimization, where the Hessian spectrum splits into dominant and…

cs.LG2025

Doloris: Dual Conditional Diffusion Implicit Bridges with Sparsity Masking Strategy for Unpaired Single-Cell Perturbation Estimation

Changxi Chi, Jun Xia, Yufei Huang +9

Estimating single-cell responses across various perturbations facilitates the identification of key genes and enhances drug screening, significantly boosting experimental efficienc…