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We consider the problem of sequentially making decisions that are rewarded by "successes" and "failures" which can be predicted through an unknown relationship that depends on a partially controllable vector of attributes for each instance.…

机器学习 · 统计学 2017-09-18 Yingfei Wang , Chu Wang , Warren Powell

We consider the revenue maximization problem in social advertising, where a social network platform owner needs to select seed users for a group of advertisers, each with a payment budget, such that the total expected revenue that the owner…

数据结构与算法 · 计算机科学 2021-07-27 Kai Han , Benwei Wu , Jing Tang , Shuang Cui , Cigdem Aslay , Laks V. S. Lakshmanan

We study problems with stochastic uncertainty information on intervals for which the precise value can be queried by paying a cost. The goal is to devise an adaptive decision tree to find a correct solution to the problem in consideration…

数据结构与算法 · 计算机科学 2021-09-27 Steven Chaplick , Magnús M. Halldórsson , Murilo S. de Lima , Tigran Tonoyan

The restricted max-min fair allocation problem seeks an allocation of resources to players that maximizes the minimum total value obtained by any player. It is NP-hard to approximate the problem to a ratio less than 2. Comparing the current…

数据结构与算法 · 计算机科学 2018-08-09 Siu-Wing Cheng , Yuchen Mao

We consider some classical optimization problems in path planning and network transport, and we introduce new auction-based algorithms for their optimal and suboptimal solution. The algorithms are based on mathematical ideas that are…

最优化与控制 · 数学 2022-07-21 Dimitri Bertsekas

In real-world machine learning applications, there is a cost associated with sampling of different features. Budgeted learning can be used to select which feature-values to acquire from each instance in a dataset, such that the best model…

机器学习 · 计算机科学 2019-03-14 Eran Fainman , Bracha Shapira , Lior Rokach , Yisroel Mirsky

We study the distortion of one-sided and two-sided matching problems on the line. In the one-sided case, $n$ agents need to be matched to $n$ items, and each agent's cost in a matching is their distance from the item they were matched to.…

计算机科学与博弈论 · 计算机科学 2025-02-04 Aris Filos-Ratsikas , Vasilis Gkatzelis , Mohamad Latifian , Emma Rewinski , Alexandros A. Voudouris

Offline model-based optimization (MBO) seeks to discover high-performing designs using only a fixed dataset of past evaluations. Most existing methods rely on learning a surrogate model via regression and implicitly assume that good…

机器学习 · 计算机科学 2026-03-05 Shen-Huan Lyu , Rong-Xi Tan , Ke Xue , Yi-Xiao He , Yu Huang , Qingfu Zhang , Chao Qian

We investigate an optimization problem in a queueing system where the service provider selects the optimal service fee p and service capacity \mu to maximize the cumulative expected profit (the service revenue minus the capacity cost and…

最优化与控制 · 数学 2025-08-12 Xinyun Chen , Guiyu Hong , Yunan Liu

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

数据结构与算法 · 计算机科学 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

We consider the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$…

数据结构与算法 · 计算机科学 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

A growing line of work shows how learned predictions can be used to break through worst-case barriers to improve the running time of an algorithm. However, incorporating predictions into data structures with strong theoretical guarantees…

数据结构与算法 · 计算机科学 2023-06-21 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

最优化与控制 · 数学 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

As a popular form of knowledge and experience, patterns and their identification have been critical tasks in most data mining applications. However, as far as we are aware, no study has systematically examined the dynamics of pattern values…

最优化与控制 · 数学 2024-09-10 Huayan Zhang , Ruibin Bai , Tie-Yan Liu , Jiawei Li , Bingchen Lin , Jianfeng Ren

Influence maximization is the problem of finding a set of influential users in a social network such that the expected spread of influence under a certain propagation model is maximized. Much of the previous work has neglected the important…

社会与信息网络 · 计算机科学 2016-11-18 Wei Lu , Laks V. S. Lakshmanan

This paper studies the Best-of-K Bandit game: At each time the player chooses a subset S among all N-choose-K possible options and observes reward max(X(i) : i in S) where X is a random vector drawn from a joint distribution. The objective…

机器学习 · 计算机科学 2016-03-22 Max Simchowitz , Kevin Jamieson , Benjamin Recht

Display Ads and the generalized assignment problem are two well-studied online packing problems with important applications in ad allocation and other areas. In both problems, ad impressions arrive online and have to be allocated…

机器学习 · 计算机科学 2023-05-26 Fabian Spaeh , Alina Ene

Selective labels are a common feature of consequential decision-making applications, referring to the lack of observed outcomes under one of the possible decisions. This paper reports work in progress on learning decision policies in the…

机器学习 · 计算机科学 2020-11-04 Dennis Wei

In this work, we consider dynamic influence maximization games over social networks with multiple players (influencers). The goal of each influencer is to maximize their own reward subject to their limited total budget rate constraints.…

计算机科学与博弈论 · 计算机科学 2023-09-26 Melih Bastopcu , S. Rasoul Etesami , Tamer Başar

Computing lower and upper bounds on the competitive ratio of online algorithms is a challenging question: For a minimization combinatorial problem, proving a competitive ratio for a given algorithm leads to an upper bound. However computing…

计算机科学与博弈论 · 计算机科学 2022-12-19 Antoine Lhomme , Olivier Romane , Nicolas Catusse , Nadia Brauner
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