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New algorithms achieve optimal competitive ratios for convex function chasing

Researchers have developed new algorithms for the problem of chasing convex functions, which involves a learner and an adversary. For Euclidean movement, a new method called Clipped Proximal Descent (CPD) achieves an O(kappa^(1/3)) competitive ratio for smooth convex functions with quadratic growth, improving upon previous bounds. For squared Euclidean movement, the optimal dimension-free competitive ratio for convex functions with quadratic growth has been established through a refined analysis of Regularized Online Balanced Descent (R-OBD) and a matching lower bound. AI

IMPACT Establishes new theoretical bounds for optimization algorithms relevant to machine learning.

RANK_REASON The cluster contains an academic paper detailing new algorithms and theoretical results in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New algorithms achieve optimal competitive ratios for convex function chasing

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The cluster contains an academic paper detailing new algorithms and theoretical results in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Linzhe He, Sifan Yang, Wei Jiang, Lijun Zhang ·

    Optimal Competitive Ratios for Chasing Convex Functions with Quadratic Growth

    arXiv:2611.08078v1 Announce Type: new Abstract: Chasing convex function has attracted much attention in recent years, which can be formulated as a game between a learner and an adversary. In each round, the adversary reveals a convex function, and the learner selects a decision a…