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math.OCMathematics

Optimization & Control

Mathematical optimization, control theory

18.7OCApr 1Code31
The Newton-Muon Optimizer

Zhehang Du, Weijie Su

This work provides a theoretical foundation for an existing optimizer and offers a slight performance improvement for training large language models, but it is incremental in nature.

12.8LGMar 15Code13
Enhancing LLM Training via Spectral Clipping

Xiaowen Jiang, Andrei Semenov, Sebastian U. Stich

This addresses training stability and generalization issues in large language models, representing an incremental improvement over existing methods.

15.5LGMar 27
Introduction to Online Control

Elad Hazan, Karan Singh · princeton

This addresses the problem of robust control under adversarial conditions for researchers and practitioners in control theory and reinforcement learning, representing a foundational shift rather than an incremental improvement.

30.8AIAug 13Code64
VALG: An Agentic System for ML Theory Research

Dechen Zhang, Xuan Tang, Xinxiang Yin et al.

This system addresses the challenge of automating complex mathematical research for ML theorists, offering a novel approach to developing and verifying theoretical results.

10.8LGMay 16
Propagation of Chaos in Contextual Flow Maps

Shi Chen, Zhengjiang Lin, Kaizhao Liu et al.

Provides rigorous statistical guarantees for transformer performance as context length grows, addressing a key theoretical gap for practitioners scaling models.

12.2LGMay 6
Demystifying Manifold Constraints in LLM Pre-training

Kang An, Jiaxiang Li, Donald Goldfarb et al.

For LLM practitioners, this work clarifies the fundamental role of manifold constraints, potentially simplifying training recipes by replacing multiple heuristics with a principled constrained optimization approach.

10.1LGMay 5
On Adaptivity in Zeroth-Order Optimization

Hassan Dbouk, Nidham Gazagnadou, Matthias Reisser et al.

For practitioners fine-tuning LLMs under memory constraints, this work provides a more efficient optimizer that reduces memory overhead without sacrificing performance.

9.0LGJun 7
The Spectral Dynamics and Noise Geometry of Muon

Pierfrancesco Beneventano, Mahmoud Abdelmoneum, Tomaso Poggio

For deep learning practitioners, Muon offers a spectral bias that helps when many directions need to remain active, but it is not universally superior.

9.7LGMay 21
Anytime Training with Schedule-Free Spectral Optimization

Anuj Apte, Pranav Deshpande, Niraj Kumar et al.

For practitioners training large language models, SF-NorMuon eliminates the need for costly learning-rate schedule tuning and horizon commitment, making anytime training practical.

9.6LGMar 11
Designing Service Systems from Textual Evidence

Ruicheng Ao, Hongyu Chen, Siyang Gao et al.

This addresses the challenge of efficient service system design for industries relying on textual data, offering a practical solution with significant cost savings, though it is incremental in combining existing techniques for a specific bottleneck.

9.2OCMay 16
High-dimensional Limit of SGD for Diagonal Linear Networks

Begoña García Malaxechebarría, Courtney Paquette, Maryam Fazel et al.

Provides a rigorous theoretical framework for understanding SGD dynamics in a simplified neural network setting, offering explicit non-asymptotic convergence guarantees.

9.0LGMar 15
Delightful Policy Gradient

Ian Osband

This addresses inefficiencies in policy gradient methods for reinforcement learning, offering a novel approach to improve training stability and performance, though it appears incremental as it builds on existing gradient techniques.