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The Stable Roommates problems are characterized by the preferences of agents over other agents as roommates. A solution is a partition of the agents into pairs that are acceptable to each other (i.e., they are in the preference lists of…

Artificial Intelligence · Computer Science 2025-07-29 Müge Fidan , Esra Erdem

We introduce the class of multistage stochastic optimization problems with a random number of stages. For such problems, we show how to write dynamic programming equations and detail the Stochastic Dual Dynamic Programming algorithm to…

Optimization and Control · Mathematics 2019-07-18 Vincent Guigues

We study an online mixed discrete and continuous optimization problem where a decision maker interacts with an unknown environment for a number of $T$ rounds. At each round, the decision maker needs to first jointly choose a discrete and a…

Optimization and Control · Mathematics 2024-08-27 Lintao Ye , Ming Chi , Zhi-Wei Liu , Xiaoling Wang , Vijay Gupta

We consider a multi-stage facility reallocation problems on the real line, where a facility is being moved between time stages based on the locations reported by $n$ agents. The aim of the reallocation algorithm is to minimise the social…

Computer Science and Game Theory · Computer Science 2021-03-25 Bart de Keijzer , Dominik Wojtczak

In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

Data Structures and Algorithms · Computer Science 2022-09-05 Marten Maack

This paper addresses the problem of online learning in a dynamic setting. We consider a social network in which each individual observes a private signal about the underlying state of the world and communicates with her neighbors at each…

Optimization and Control · Mathematics 2013-10-02 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

We study the online dynamics of learning in fully connected soft committee machines in the student-teacher scenario. The locally optimal modulation function, which determines the learning algorithm, is obtained from a variational argument…

Disordered Systems and Neural Networks · Physics 2009-10-30 Renato Vicente , Nestor Caticha

This paper proposes a neural stochastic optimization method for efficiently solving the two-stage stochastic unit commitment (2S-SUC) problem under high-dimensional uncertainty scenarios. The proposed method approximates the second-stage…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Zhentong Shao , Jingtao Qin , Nanpeng Yu

We study the problem of improving the performance of online algorithms by incorporating machine-learned predictions. The goal is to design algorithms that are both consistent and robust, meaning that the algorithm performs well when…

Machine Learning · Computer Science 2020-10-23 Alexander Wei , Fred Zhang

We study the online variant of the Min-Sum Set Cover (MSSC) problem, a generalization of the well-known list update problem. In the MSSC problem, an algorithm has to maintain the time-varying permutation of the list of $n$ elements, and…

Data Structures and Algorithms · Computer Science 2023-07-03 Mateusz Basiak , Marcin Bienkowski , Agnieszka Tatarczuk

We propose a model for online graph problems where algorithms are given access to an oracle that predicts (e.g., based on modeling assumptions or on past data) the degrees of nodes in the graph. Within this model, we study the classic…

Data Structures and Algorithms · Computer Science 2022-11-16 Anders Aamand , Justin Y. Chen , Piotr Indyk

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

We study the problem of online learning in a class of Markov decision processes known as linearly solvable MDPs. In the stationary version of this problem, a learner interacts with its environment by directly controlling the state…

Machine Learning · Computer Science 2017-06-07 Gergely Neu , Vicenç Gómez

We study the problem of finding "fair" stable matchings in the Stable Marriage problem with Incomplete lists (SMI). For an instance $I$ of SMI there may be many stable matchings, providing significantly different outcomes for the sets of…

Data Structures and Algorithms · Computer Science 2020-04-17 Frances Cooper , David Manlove

In this paper, we study the online Euclidean spanners problem for points in $\mathbb{R}^d$. Suppose we are given a sequence of $n$ points $(s_1,s_2,\ldots, s_n)$ in $\mathbb{R}^d$, where point $s_i$ is presented in step~$i$ for $i=1,\ldots,…

Computational Geometry · Computer Science 2021-07-05 Sujoy Bhore , Csaba D. Tóth

Stability is a general notion that quantifies the sensitivity of a learning algorithm's output to small change in the training dataset (e.g. deletion or replacement of a single training sample). Such conditions have recently been shown to…

Machine Learning · Computer Science 2011-08-18 Stephane Ross , J. Andrew Bagnell

A new approach to the static route planning problem, based on a multi-staging concept and a \emph{scope} notion, is presented. The main goal (besides implied efficiency of planning) of our approach is to address---with a solid theoretical…

Data Structures and Algorithms · Computer Science 2011-11-16 Petr Hlineny , Ondrej Moris

The classic online stochastic matching problem typically requires immediate and irrevocable matching decisions. However, in many modern decentralized systems such as real-time ride-hailing and distributed cloud computing, the primary…

Data Structures and Algorithms · Computer Science 2026-05-15 Sara Ahmadian , Edith Cohen , Mohammad Roghani

In this paper we consider stable matchings subject to assignment constraints. These are matchings that require certain assigned pairs to be included, insist that some other assigned pairs are not, and, importantly, are stable. Our main…

Theoretical Economics · Economics 2024-06-14 Gregory Gutin , Philip R. Neary , Anders Yeo

In the Min-cost Perfect Matching with Delays (MPMD) problem, 2 m requests arrive over time at points of a metric space. An online algorithm has to connect these requests in pairs, but a decision to match may be postponed till a more…

Data Structures and Algorithms · Computer Science 2018-09-11 Marcin Bienkowski , Artur Kraska , Hsiang-Hsuan Liu , Paweł Schmidt