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Row Normalization Outperforms Adam and Muon in High-Dimensional Classification

A new research paper explores the geometric properties of optimizers in machine learning, proposing that row normalization can outperform Adam and Muon in high-dimensional multiclass classification tasks. The study suggests that row normalization's class-wise Euclidean geometry better preserves decision-boundary directions compared to Adam's coordinate-wise geometry and Muon's spectral geometry, which can introduce distortions. This advantage is demonstrated under various data models, including isotropic Gaussian-cloud data and power-law spectra, with synthetic and language model experiments supporting the findings. AI

IMPACT Proposes a new optimization technique that could lead to more accurate and efficient machine learning models.

RANK_REASON Research paper published on arXiv detailing a novel approach to optimizers. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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

Row Normalization Outperforms Adam and Muon in High-Dimensional Classification

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Research paper published on arXiv detailing a novel approach to optimizers. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Jihwan Kim, Dogyoon Song, Chulhee Yun ·

    From Geometry to Generalization: Why Row Normalization Can Beat Adam and Muon

    arXiv:2610.11309v1 Announce Type: cross Abstract: Different optimizers can fit the same training data while selecting classifiers with substantially different geometries, but whether this difference provably affects population performance remains unclear. We show that row-wise no…