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We study the on-line minimum weighted bipartite matching problem in arbitrary metric spaces. Here, $n$ not necessary disjoint points of a metric space $M$ are given, and are to be matched on-line with $n$ points of $M$ revealed one by one.…

数据结构与算法 · 计算机科学 2007-06-06 Béla Csaba , András S. Pluhár

In the setting of online algorithms, the input is initially not present but rather arrive one-by-one over time and after each input, the algorithm has to make a decision. Depending on the formulation of the problem, the algorithm might be…

数据结构与算法 · 计算机科学 2020-01-10 Mustafa Safa Ozdayi

Contextual online decision-making problems with constraints appear in a wide range of real-world applications, such as adaptive experimental design under safety constraints, personalized recommendation with resource limits, and dynamic…

机器学习 · 统计学 2025-05-23 Haichen Hu , David Simchi-Levi , Navid Azizan

The maximum independent set problem is a classical NP-hard problem in theoretical computer science. In this work, we study a special case where the family of graphs considered is restricted to intersection graphs of sets of axis-aligned…

数据结构与算法 · 计算机科学 2024-10-10 Rishi Advani , Abolfazl Asudeh

We consider the online resource minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. We rigorously study this…

数据结构与算法 · 计算机科学 2015-12-09 Lin Chen , Nicole Megow , Kevin Schewior

The problem of online matching with stochastic rewards is a generalization of the online bipartite matching problem where each edge has a probability of success. When a match is made it succeeds with the probability of the corresponding…

数据结构与算法 · 计算机科学 2022-05-12 Vineet Goyal , Rajan Udwani

Discretization based approaches to solving online reinforcement learning problems have been studied extensively in practice on applications ranging from resource allocation to cache management. Two major questions in designing…

机器学习 · 统计学 2024-09-30 Sean R. Sinclair , Siddhartha Banerjee , Christina Lee Yu

Online bipartite matching is a classical problem in online algorithms and we know that both the deterministic fractional and randomized integral online matchings achieve the same competitive ratio of $1-\frac{1}{e}$. In this work, we study…

数据结构与算法 · 计算机科学 2025-11-21 Amey Bhangale , Arghya Chakraborty , Prahladh Harsha

When designing a preemptive online algorithm for the maximum matching problem, we wish to maintain a valid matching M while edges of the underlying graph are presented one after the other. When presented with an edge e, the algorithm should…

数据结构与算法 · 计算机科学 2015-03-20 Leah Epstein , Asaf Levin , Danny Segev , Oren Weimann

We consider an online version of the well-studied network utility maximization problem, where users arrive one by one and an operator makes irrevocable decisions for each user without knowing the details of future arrivals. We propose a…

数据结构与算法 · 计算机科学 2021-01-27 Ying Cao , Bo Sun , Danny H. K. Tsang

We consider non-clairvoyant scheduling with online precedence constraints, where an algorithm is oblivious to any job dependencies and learns about a job only if all of its predecessors have been completed. Given strong impossibility…

数据结构与算法 · 计算机科学 2023-01-31 Alexandra Lassota , Alexander Lindermayr , Nicole Megow , Jens Schlöter

There is a rising interest for studying the online benchmark as an alternative of the classical offline benchmark in online stochastic settings. Ezra, Feldman, Gravin, and Tang (SODA 2023) introduced the notion of order-competitive ratio,…

数据结构与算法 · 计算机科学 2024-06-24 Liyan Chen , Nuozhou Sun , Zhihao Gavin Tang

Recently, there were introduced important classes of relatively smooth, relatively continuous, and relatively strongly convex optimization problems. These concepts have significantly expanded the class of problems for which optimal…

In many online learning problems we are interested in predicting local information about some universe of items. For example, we may want to know whether two items are in the same cluster rather than computing an assignment of items to…

机器学习 · 计算机科学 2014-03-24 Paul Christiano

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 study the online load balancing problem on unrelated machines, with the objective of minimizing the square of the $\ell_2$ norm of the loads on the machines. The greedy algorithm of Awerbuch et al. (STOC'95) is optimal for deterministic…

数据结构与算法 · 计算机科学 2025-11-06 Sander Borst , Danish Kashaev

Online kernel selection is a fundamental problem of online kernel methods.In this paper,we study online kernel selection with memory constraint in which the memory of kernel selection and online prediction procedures is limited to a fixed…

机器学习 · 计算机科学 2025-03-25 Junfan Li , Shizhong Liao

Bin packing is a classic optimization problem with a wide range of applications, from load balancing to supply chain management. In this work, we study the online variant of the problem, in which a sequence of items of various sizes must be…

数据结构与算法 · 计算机科学 2024-04-18 Spyros Angelopoulos , Shahin Kamali , Kimia Shadkami

We study the edge-weighted online stochastic matching problem. Since Feldman, Mehta, Mirrokni, and Muthukrishnan proposed the $(1-\frac1e)$-competitive Suggested Matching algorithm, there has been no improvement for the general…

数据结构与算法 · 计算机科学 2025-10-15 Shuyi Yan

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…

数据结构与算法 · 计算机科学 2022-11-16 Anders Aamand , Justin Y. Chen , Piotr Indyk