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We study \emph{combinatorial procurement auctions}, where a buyer with a valuation function $v$ and budget $B$ wishes to buy a set of items. Each item $i$ has a cost $c_i$ and the buyer is interested in a set $S$ that maximizes $v(S)$…

计算机科学与博弈论 · 计算机科学 2015-03-19 Ashwinkumar Badanidiyuru , Shahar Dobzinski , Sigal Oren

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

系统与控制 · 电气工程与系统科学 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

We prove that the Bounded Occurrence Ordering k-CSP Problem is not approximation resistant. We give a very simple local search algorithm that always performs better than the random assignment algorithm. Specifically, the expected value of…

数据结构与算法 · 计算机科学 2013-03-05 Konstantin Makarychev

Fixed-parameter algorithms, approximation algorithms and moderately exponential algorithms are three major approaches to algorithms design. While each of them being very active in its own, there is an increasing attention to the connection…

计算复杂性 · 计算机科学 2012-11-29 Bruno Escoffier , EunJung Kim , Vangelis Th. Paschos

Inspired by online ad allocation, we study online stochastic packing linear programs from theoretical and practical standpoints. We first present a near-optimal online algorithm for a general class of packing linear programs which model…

数据结构与算法 · 计算机科学 2010-02-17 Jon Feldman , Monika Henzinger , Nitish Korula , Vahab S. Mirrokni , Cliff Stein

We propose a novel formulation for approximating reachable sets through a minimum discounted reward optimal control problem. The formulation yields a continuous solution that can be obtained by solving a Hamilton-Jacobi equation.…

最优化与控制 · 数学 2018-09-05 Anayo K. Akametalu , Shromona Ghosh , Jaime F. Fisac , Claire J. Tomlin

This article presents a new search algorithm for the NP-hard problem of optimizing functions of binary variables that decompose according to a graphical model. It can be applied to models of any order and structure. The main novelty is a…

数据结构与算法 · 计算机科学 2010-09-22 Bjoern Andres , Joerg H. Kappes , Ullrich Koethe , Fred A. Hamprecht

We study resource allocation in two-sided markets from a fundamental perspective and introduce a general modeling and algorithmic framework to effectively incorporate the complex and multidimensional aspects of fairness. Our main technical…

计算机科学与博弈论 · 计算机科学 2025-06-03 Javier Cembrano , Andrés Moraga , Victor Verdugo

In this paper, we introduce a method for approximating the solution to inference and optimization tasks in uncertain and deterministic reasoning. Such tasks are in general intractable for exact algorithms because of the large number of…

人工智能 · 计算机科学 2012-12-12 David Ephraim Larkin

For solving combinatorial optimisation problems with metaheuristics, different search operators are applied for sampling new solutions in the neighbourhood of a given solution. It is important to understand the relationship between…

人工智能 · 计算机科学 2023-05-05 Jiyuan Pei , Hao Tong , Jialin Liu , Yi Mei , Xin Yao

The past few years have seen a surge of work on fairness in allocation problems where items must be fairly divided among agents having individual preferences. In comparison, fairness in settings with preferences on both sides, that is,…

计算机科学与博弈论 · 计算机科学 2022-05-26 Shivika Narang , Arpita Biswas , Y Narahari

Two optimization algorithms are proposed for solving a stochastic programming problem for which the objective function is given in the form of the expectation of convex functions and the constraint set is defined by the intersection of…

最优化与控制 · 数学 2017-10-09 Hideaki Iiduka

We consider the problem of fairly allocating a set of indivisible goods among $n$ agents with additive valuations, using the popular fairness notion of maximin share (MMS). Since MMS allocations do not always exist, a series of works…

计算机科学与博弈论 · 计算机科学 2023-07-25 Hannaneh Akrami , Jugal Garg , Eklavya Sharma , Setareh Taki

We study the problem of optimal content placement over a network of caches, a problem naturally arising in several networking applications, including ICNs, CDNs, and P2P systems. Given a demand of content request rates and paths followed,…

网络与互联网体系结构 · 计算机科学 2016-04-13 Stratis Ioannidis , Edmund Yeh

Ensuring fairness in machine learning algorithms is a challenging and essential task. We consider the problem of clustering a set of points while satisfying fairness constraints. While there have been several attempts to capture group…

机器学习 · 计算机科学 2023-02-07 Debajyoti Kar , Mert Kosan , Debmalya Mandal , Sourav Medya , Arlei Silva , Palash Dey , Swagato Sanyal

This paper focuses on a class of inclusion problems of maximal monotone operators in a multi-agent network, where each agent is characterized by an operator that is not available to any other agents, but the agents can cooperate by…

最优化与控制 · 数学 2023-10-25 Kai Gong , Liwei Zhang

The problem of solving a parity game is at the core of many problems in model checking, satisfiability checking and program synthesis. Some of the best algorithms for solving parity game are strategy improvement algorithms. These are global…

计算机科学与博弈论 · 计算机科学 2010-06-09 Oliver Friedmann , Martin Lange

It is a well known fact that sequential algorithms which exhibit a strong "local" nature can be adapted to the distributed setting given a legal graph coloring. The running time of the distributed algorithm will then be at least the number…

分布式、并行与集群计算 · 计算机科学 2018-05-15 Ken-ichi Kawarabayashi , Gregory Schwartzman

In this paper we present a first-order method that admits near-optimal convergence rates for convex/concave min-max problems while requiring a simple and intuitive analysis. Similarly to the seminal work of Nemirovski and the recent…

计算机科学与博弈论 · 计算机科学 2023-01-18 Volkan Cevher , Georgios Piliouras , Ryann Sim , Stratis Skoulakis

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world problems as objective functions and constraints are only…

数据结构与算法 · 计算机科学 2022-01-25 Tesshu Hanaka , Masashi Kiyomi , Yasuaki Kobayashi , Yusuke Kobayashi , Kazuhiro Kurita , Yota Otachi
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