Adversarial Online Learning with Temporal Feedback Graphs

Fuente: arXiv
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Autori principali: Gatmiry, Khashayar, Schneider, Jon
Natura: Preprint
Pubblicazione: 2024
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author Gatmiry, Khashayar
Schneider, Jon
author_facet Gatmiry, Khashayar
Schneider, Jon
contents We study a variant of prediction with expert advice where the learner's action at round $t$ is only allowed to depend on losses on a specific subset of the rounds (where the structure of which rounds' losses are visible at time $t$ is provided by a directed "feedback graph" known to the learner). We present a novel learning algorithm for this setting based on a strategy of partitioning the losses across sub-cliques of this graph. We complement this with a lower bound that is tight in many practical settings, and which we conjecture to be within a constant factor of optimal. For the important class of transitive feedback graphs, we prove that this algorithm is efficiently implementable and obtains the optimal regret bound (up to a universal constant).
format Preprint
id arxiv_https___arxiv_org_abs_2407_00571
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Adversarial Online Learning with Temporal Feedback Graphs
Gatmiry, Khashayar
Schneider, Jon
Machine Learning
We study a variant of prediction with expert advice where the learner's action at round $t$ is only allowed to depend on losses on a specific subset of the rounds (where the structure of which rounds' losses are visible at time $t$ is provided by a directed "feedback graph" known to the learner). We present a novel learning algorithm for this setting based on a strategy of partitioning the losses across sub-cliques of this graph. We complement this with a lower bound that is tight in many practical settings, and which we conjecture to be within a constant factor of optimal. For the important class of transitive feedback graphs, we prove that this algorithm is efficiently implementable and obtains the optimal regret bound (up to a universal constant).
title Adversarial Online Learning with Temporal Feedback Graphs
topic Machine Learning
url https://arxiv.org/abs/2407.00571