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]
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