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We provide a framework for computing the exact worst-case performance of any algorithm belonging to a broad class of oracle-based first-order methods for composite convex optimization, including those performing explicit, projected,…

Optimization and Control · Mathematics 2019-11-22 Adrien B. Taylor , Julien M. Hendrickx , François Glineur

In this paper, we consider contention resolution algorithms that are augmented with predictions about the network. We begin by studying the natural setup in which the algorithm is provided a distribution defined over the possible network…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Seth Gilbert , Calvin Newport , Nitin Vaidya , Alex Weaver

We study online learning problems in which a decision maker wants to maximize their expected reward without violating a finite set of $m$ resource constraints. By casting the learning process over a suitably defined space of strategy…

Machine Learning · Computer Science 2023-03-13 Andrea Celli , Matteo Castiglioni , Christian Kroer

Consider the following online version of the submodular maximization problem under a matroid constraint: We are given a set of elements over which a matroid is defined. The goal is to incrementally choose a subset that remains independent…

Data Structures and Algorithms · Computer Science 2012-05-08 Niv Buchbinder , Joseph , Naor , R. Ravi , Mohit Singh

This paper aims to address the integrated routing and appointment scheduling (RAS) problem for a single service provider. The RAS problem is an operational challenge faced by operators that provide services requiring home attendance, such…

Optimization and Control · Mathematics 2023-12-06 René Bekker , Bharti Bharti , Leon Lan , Michel Mandjes

Commonly used caching policies, such as LRU (Least Recently Used) or LFU (Least Frequently Used), exhibit optimal performance only under specific traffic patterns. Even advanced machine learning-based methods, which detect patterns in…

Machine Learning · Computer Science 2024-06-18 Damiano Carra , Giovanni Neglia

We address the classical knapsack problem and a variant in which an upper bound is imposed on the number of items that can be selected. We show that appropriate combinations of rounding techniques yield novel and powerful ways of rounding.…

Computational Complexity · Computer Science 2007-05-23 Monaldo Mastrolilli , Marcus Hutter

Recommendation systems (RecSys) are designed to connect users with relevant items from a vast pool of candidates while aligning with the business goals of the platform. A typical industrial RecSys is composed of two main stages, retrieval…

Information Retrieval · Computer Science 2024-12-19 Chi Liu , Jiangxia Cao , Rui Huang , Kuo Cai , Weifeng Ding , Qiang Luo , Kun Gai , Guorui Zhou

Firms that price perishable resources -- airline seats, hotel rooms, seasonal inventory -- now routinely use demand predictions, but these predictions vary widely in quality. Under hard capacity constraints, acting on an inaccurate…

Optimization and Control · Mathematics 2026-03-27 Ruicheng Ao , Jiashuo Jiang , David Simchi-Levi

We study the problem of fair allocation of a set of indivisible items among agents with additive valuations, under matroid constraints and two generalizations: $p$-extendible system and independence system constraints. The objective is to…

Computer Science and Game Theory · Computer Science 2024-11-07 Yuanyuan Wang , Xin Chen , Qingqin Nong

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson

Contention resolution addresses the problem of coordinating access to a shared communication channel. Time is discretized into synchronized slots, and a packet can be sent in any slot. If no packet is sent, then the slot is empty; if a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Umesh Biswas , Trisha Chakraborty , Maxwell Young

Recent progress in (semi-)streaming algorithms for monotone submodular function maximization has led to tight results for a simple cardinality constraint. However, current techniques fail to give a similar understanding for natural…

Data Structures and Algorithms · Computer Science 2022-02-17 Moran Feldman , Paul Liu , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

Statistical inference and information processing of high-dimensional data often require efficient and accurate estimation of their second-order statistics. With rapidly changing data, limited processing power and storage at the acquisition…

Information Theory · Computer Science 2015-03-23 Yuxin Chen , Yuejie Chi , Andrea Goldsmith

Sparse reduced rank regression is an essential statistical learning method. In the contemporary literature, estimation is typically formulated as a nonconvex optimization that often yields to a local optimum in numerical computation. Yet,…

Methodology · Statistics 2022-12-06 Canhong Wen , Ruipeng Dong , Xueqin Wang , Weiyu Li , Heping Zhang

We introduce and study a general version of the fractional online knapsack problem with multiple knapsacks, heterogeneous constraints on which items can be assigned to which knapsack, and rate-limiting constraints on the assignment of items…

Data Structures and Algorithms · Computer Science 2020-10-20 Bo Sun , Ali Zeynali , Tongxin Li , Mohammad Hajiesmaili , Adam Wierman , Danny H. K. Tsang

We analyze the competitive ratio and the advice complexity of the online unbounded knapsack problem. An instance is given as a sequence of n items with a size and a value each, and an algorithm has to decide how often to pack each item into…

Data Structures and Algorithms · Computer Science 2024-11-01 Hans-Joachim Böckenhauer , Matthias Gehnen , Juraj Hromkovič , Ralf Klasing , Dennis Komm , Henri Lotze , Daniel Mock , Peter Rossmanith , Moritz Stocker

Fairness considerations have motivated new clustering problems and algorithms in recent years. In this paper we consider the Priority Matroid Median problem which generalizes the Priority $k$-Median problem that has recently been studied.…

Data Structures and Algorithms · Computer Science 2023-07-10 Tanvi Bajpai , Chandra Chekuri

Online advertising has recently grown into a highly competitive and complex multi-billion-dollar industry, with advertisers bidding for ad slots at large scales and high frequencies. This has resulted in a growing need for efficient…

Machine Learning · Computer Science 2023-07-04 Zhe Feng , Swati Padmanabhan , Di Wang

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

Computer Science and Game Theory · Computer Science 2024-08-05 Ankang Sun , Bo Chen
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