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SS--RS--GD Inequalities Resolved with AI Assistance

By PulseAugur Editorial · [1 sources] ·

A new paper published on arXiv addresses the SS--RS--GD inequalities, a conjecture from COLT 2021 concerning the operators of single-shuffle SGD, random-reshuffle SGD, and gradient descent. The research demonstrates that the SS-RS inequality does not hold, providing specific counterexamples for n=3. However, the RS-GD inequality is proven to be true for a defined range of symmetric matrices. The paper notes that GPT-5.5 Pro was utilized to assist in the proof. AI

IMPACT This research provides theoretical insights into optimization algorithms, potentially influencing the development and understanding of AI training methods.

RANK_REASON Academic paper detailing mathematical inequalities and their resolution. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv stat.ML →

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

SS--RS--GD Inequalities Resolved with AI Assistance

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Academic paper detailing mathematical inequalities and their resolution. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Binghui Peng ·

    A Resolution of the SS--RS--GD Inequalities

    arXiv:2607.22620v1 Announce Type: cross Abstract: Yun, Sra, and Jadbabaie (COLT 2021, open question) conjectured the SS--RS--GD inequalities: for well-conditioned symmetric matrices $A_1,\dots,A_n$, the operators $W_{ss}$, $W_{rs}$, and $W_{gd}$ that encode the expected iterate o…

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