WebThe convex body chasing problem, introduced by Friedman and Linial [FL93], is a competitive analysis problem on any normed vector space. In convex body chasing, for … WebAbstract. Let be a family of sets in some metric space. In the -chasing problem, an online algorithm observes a request sequence of sets in and responds (online) by giving a sequence of points in these sets. The movement cost is the distance between consecutive such points. The competitive ratio is the worst case ratio (over request sequences) …
Smoothed Online Convex Optimization Based on Discounted …
WebJan 1, 2024 · Request PDF On Jan 1, 2024, Sébastien Bubeck and others published Chasing Nested Convex Bodies Nearly Optimally Find, read and cite all the … WebThe convex body chasing problem, introduced by Friedman and Linial [FL93], is a competitive analysis problem on any normed vector space. In convex body chasing, for each timestep t ϵ N, a convex body K t R d is given as a request, and the player picks a point x t ϵ K t.The player aims to ensure that the total distance moved [MATH HERE] is … srcc ba economics placements
Competitively Chasing Convex Bodies - Stanford …
WebDec 20, 2024 · Definition 1. (Nested Convex Body Chasing) In the nested convex body chasing problem in \mathbb {R}^d, the algorithm starts at some position v_0, and an online sequence of n nested convex bodies F_1 \supset \cdots \supset F_n arrive one by one. When convex body F_t arrives, the algorithm must move to a point v_t that lies in F_t. WebNov 2, 2024 · Chasing Nested Convex Bodies Nearly Optimally The convex body chasing problem, introduced by Friedman and Linial, is a... 0 Sébastien Bubeck, et al. ∙. share ... WebDec 20, 2024 · Since the nested convex body chasing problem corresponds to solving online LPs with arbitrary constraints (with both positive and negative entries) and a … srcc gbo apply