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Nesterov trajectories are locally minimizing only for p=4, new paper finds

By PulseAugur Editorial · [1 sources] ·

A new research paper explores the conditions under which Nesterov's optimization method produces trajectories that are eventually locally minimizing. The study establishes a connection between this property and the nonnegativity of a specific Schrödinger operator. For power objectives, the research demonstrates that Nesterov trajectories are eventually locally minimizing only when the exponent is exactly 4, linking this finding to the stability of semilinear elliptic equations. AI

IMPACT Provides theoretical insights into optimization algorithms that could inform future AI model training.

RANK_REASON Academic paper published on arXiv detailing theoretical findings in optimization. [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 →

Nesterov trajectories are locally minimizing only for p=4, new paper finds

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Academic paper published on arXiv detailing theoretical findings in optimization. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Peyman Morteza, Stephen Wright ·

    When Are Nesterov Trajectories Eventually Locally Minimizing?

    arXiv:2610.33341v1 Announce Type: cross Abstract: We revisit the variational characterization of Nesterov's celebrated method and study when Nesterov trajectories are eventually locally minimizing in a variational sense, a notion that we define precisely. We show that this questi…

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