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We study the online submodular maximization problem with free disposal under a matroid constraint. Elements from some ground set arrive one by one in rounds, and the algorithm maintains a feasible set that is independent in the underlying…

离散数学 · 计算机科学 2016-10-26 T-H. Hubert Chan , Zhiyi Huang , Shaofeng H. -C. Jiang , Ning Kang , Zhihao Gavin Tang

We study online fair division when there are a finite number of item types and the player values for the items are drawn randomly from distributions with unknown means. In this setting, a sequence of indivisible items arrives according to a…

计算机科学与博弈论 · 计算机科学 2025-01-14 Benjamin Schiffer , Shirley Zhang

Submodular maximization is a general optimization problem with a wide range of applications in machine learning (e.g., active learning, clustering, and feature selection). In large-scale optimization, the parallel running time of an…

数据结构与算法 · 计算机科学 2023-04-11 Matthew Fahrbach , Vahab Mirrokni , Morteza Zadimoghaddam

In this paper we study the mincut problem in the online setting. We consider two distinct models: A) competitive analysis and B) regret analysis. In the competitive setting we consider the vertex arrival model; whenever a new vertex arrives…

数据结构与算法 · 计算机科学 2020-08-17 Avah Banerjee , Guoli Ding

We study an online forecasting setting in which, over $T$ rounds, $N$ strategic experts each report a forecast to a mechanism, the mechanism selects one forecast, and then the outcome is revealed. In any given round, each expert has a…

机器学习 · 计算机科学 2025-02-18 Junpei Komiyama , Nishant A. Mehta , Ali Mortazavi

We study fast rates of convergence in the setting of nonparametric online regression, namely where regret is defined with respect to an arbitrary function class which has bounded complexity. Our contributions are two-fold: - In the…

机器学习 · 计算机科学 2022-04-13 Constantinos Daskalakis , Noah Golowich

Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in…

计算机科学与博弈论 · 计算机科学 2025-04-29 David Sychrovský , Martin Schmid , Michal Šustr , Michael Bowling

In this work, we present a combinatorial, deterministic single-pass streaming algorithm for the problem of maximizing a submodular function, not necessarily monotone, with respect to a cardinality constraint (SMCC). In the case the function…

数据结构与算法 · 计算机科学 2020-11-03 Alan Kuhnle

We explore a novel problem in streaming submodular maximization, inspired by the dynamics of news-recommendation platforms. We consider a setting where users can visit a news website at any time, and upon each visit, the website must…

数据结构与算法 · 计算机科学 2026-01-19 Honglian Wang , Sijing Tu , Lutz Oettershagen , Aristides Gionis

The linear submodular bandit problem was proposed to simultaneously address diversified retrieval and online learning in a recommender system. If there is no uncertainty, this problem is equivalent to a submodular maximization problem under…

机器学习 · 计算机科学 2021-03-30 Sho Takemori , Masahiro Sato , Takashi Sonoda , Janmajay Singh , Tomoko Ohkuma

In the context of online interactive machine learning with combinatorial objectives, we extend purely submodular prior work to more general non-submodular objectives. This includes: (1) those that are additively decomposable into a sum of…

机器学习 · 计算机科学 2024-05-14 Adhyyan Narang , Omid Sadeghi , Lillian J Ratliff , Maryam Fazel , Jeff Bilmes

The Submodular Welfare Maximization problem (SWM) captures an important subclass of combinatorial auctions and has been studied extensively from both computational and economic perspectives. In particular, it has been studied in a natural…

数据结构与算法 · 计算机科学 2018-11-20 Niv Buchbinder , Moran Feldman , Yuval Filmus , Mohit Garg

A crucial problem in reinforcement learning is learning the optimal policy. We study this in tabular infinite-horizon discounted Markov decision processes under the online setting. The existing algorithms either fail to achieve regret…

机器学习 · 计算机科学 2023-12-13 Xiang Ji , Gen Li

We introduce the $\texttt{$k$-experts}$ problem - a generalization of the classic Prediction with Expert's Advice framework. Unlike the classic version, where the learner selects exactly one expert from a pool of $N$ experts at each round,…

信息论 · 计算机科学 2022-02-18 Samrat Mukhopadhyay , Sourav Sahoo , Abhishek Sinha

Given any increasing sequence of norms $\|\cdot\|_0,\dots,\|\cdot\|_{T-1}$, we provide an online convex optimization algorithm that outputs points $w_t$ in some domain $W$ in response to convex losses $\ell_t:W\to \mathbb{R}$ that…

机器学习 · 计算机科学 2020-02-11 Ashok Cutkosky

In various areas of computer science, the problem of dealing with a set of constraints arises. If the set of constraints is unsatisfiable, one may ask for a minimal description of the reason for this unsatisifi- ability. Minimal…

人工智能 · 计算机科学 2016-06-13 Jaroslav Bendik , Nikola Benes , Ivana Cerna , Jiri Barnat

We study nonstationary Online Linear Programming (OLP), where $n$ orders arrive sequentially with reward-resource consumption pairs that form a sequence of independent, but not necessarily identically distributed, random vectors. At the…

数据结构与算法 · 计算机科学 2026-03-17 Haoran Xu , Owen Shen , Peter Glynn , Yinyu Ye , Patrick Jaillet

In this work, we consider a distributed online convex optimization problem, with time-varying (potentially adversarial) constraints. A set of nodes, jointly aim to minimize a global objective function, which is the sum of local convex…

最优化与控制 · 数学 2021-05-06 Pranay Sharma , Prashant Khanduri , Lixin Shen , Donald J. Bucci , Pramod K. Varshney

This work considered an online distributed optimization problem, with a group of agents whose local objective functions vary with time. Moreover, the value of the objective function is revealed to the corresponding agent after the decision…

最优化与控制 · 数学 2021-08-16 Yipeng Pang , Guoqiang Hu

In this work, we study the classic submodular maximization problem under knapsack constraints and beyond. We first present an $(7/16-\varepsilon)$-approximate algorithm for single knapsack constraint, which requires…

数据结构与算法 · 计算机科学 2020-12-22 Wenxin Li