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Matrix multiplication exponent improved to < 2.371177 using ML and AlphaEvolve

By PulseAugur Editorial · [2 sources] ·

Researchers have improved the upper bound for the matrix multiplication exponent ($\omega$) to below 2.371177, surpassing the previous record of 2.371339. This advancement was achieved by reformulating the core optimization problem, developing a new machine learning-based optimization algorithm, and refining it with AlphaEvolve. The work builds upon existing methods like combination loss analysis, which are used to establish bounds on matrix multiplication. AI

IMPACT This research advances theoretical computer science, potentially impacting the efficiency of future AI algorithms that rely heavily on matrix operations.

RANK_REASON The cluster describes a new research paper published on arXiv that presents a novel method and improved results for a theoretical computer science problem.

Read on Hugging Face Daily Papers →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

Matrix multiplication exponent improved to < 2.371177 using ML and AlphaEvolve

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COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Emilien Dupont, Marvin Eisenberger, Borislav Kozlovskii, Abbas Mehrabian, Francisco J. R. Ruiz, Abigail See, Renfei Zhou, Josh Alman, Virginia Vassilevska Williams, Matej Balog ·

    Improving the matrix multiplication exponent with modern optimization and AlphaEvolve

    arXiv:2608.16884v1 Announce Type: cross Abstract: The current best bounds on the matrix multiplication exponent $\omega$ are obtained through a refinement of the laser method called combination loss analysis (Duan et al., 2022; Williams et al., 2024; Alman et al., 2025). In this …

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    Improving the matrix multiplication exponent with modern optimization and AlphaEvolve

    Refinements to combination loss analysis via reformulated optimization, machine learning-based algorithms, and AlphaEvolve yield an improved upper bound on the matrix multiplication exponent.

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