collaborators

7 papers

math.OC2026

FlexGrad: a root-free approach to adaptive step sizes

Pablo Barros, Aaron Defazio, Vincent Guigues

We introduce the FlexGrad optimizer, an adaptive gradient method that addresses a key limitation of classical AdaGrad-type methods: their inability to exploit correlations between…

cs.LG2026

ScheduleFree+: Scaling Learning-Rate-Free & Schedule-Free Learning to Large Language Models

Aaron Defazio

Schedule-Free Learning has shown promise as a practical anytime training method for machine learning, showing success across dozens of standard benchmark problems. However, strong…

cs.LG2025

Smoothing DiLoCo with Primal Averaging for Faster Training of LLMs

Aaron Defazio, Konstantin Mishchenko, Parameswaran Raman +2

We propose Generalized Primal Averaging (GPA), an extension of Nesterov's method that unifies and generalizes recent averaging-based optimizers like single-worker DiLoCo and Schedu…

cs.LG2025

Why Gradients Rapidly Increase Near the End of Training

Aaron Defazio

During long-duration Large Language Model (LLM) training runs the gradient norm increases rapidly near the end of training. In this short note, we show that this increase is due to…

cs.LG2025

Purifying Shampoo: Investigating Shampoo's Heuristics by Decomposing its Preconditioner

Runa Eschenhagen, Aaron Defazio, Tsung-Hsien Lee +2

The recent success of Shampoo in the AlgoPerf contest has sparked renewed interest in Kronecker-factorization-based optimization algorithms for training neural networks. Despite it…

cs.LG2025

MuLoCo: Muon is a practical inner optimizer for DiLoCo

Benjamin Thérien, Xiaolong Huang, Aaron Defazio +2

DiLoCo is a powerful framework for training large language models (LLMs), enabling larger optimal batch sizes and increased accelerator utilization under networking constraints. Ho…

cs.LG2025

PARQ: Piecewise-Affine Regularized Quantization

Lisa Jin, Jianhao Ma, Zechun Liu +3

We develop a principled method for quantization-aware training (QAT) of large-scale machine learning models. Specifically, we show that convex, piecewise-affine regularization (PAR…