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New research unifies Lion and Muon optimizers under Stochastic Frank-Wolfe

Researchers have unified several popular deep learning optimizers, including Lion and Muon, under the framework of Stochastic Frank-Wolfe. This work establishes convergence guarantees for these methods in non-convex optimization settings and introduces robust variants designed to handle heavy-tailed gradient noise. These new variants aim to improve the practical applicability of Lion and Muon in machine learning tasks. AI

IMPACT Provides a theoretical foundation for popular optimizers, potentially leading to more robust and efficient deep learning training.

RANK_REASON Academic paper detailing a new theoretical framework for optimization methods. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research unifies Lion and Muon optimizers under Stochastic Frank-Wolfe

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Maria-Eleni Sfyraki, Jun-Kun Wang ·

    Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise

    arXiv:2506.04192v3 Announce Type: replace-cross Abstract: Stochastic Frank-Wolfe is a classical optimization method for solving constrained optimization problems. On the other hand, recent optimizers such as Lion and Muon have gained quite significant popularity in deep learning.…