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We consider the file maintenance problem (also called the online labeling problem) in which n integer items from the set {1,...,r} are to be stored in an array of size m >= n. The items are presented sequentially in an arbitrary order, and…

数据结构与算法 · 计算机科学 2015-03-19 Jan Bulánek , Michal Koucký , Michael Saks

We introduce online learning with vector costs (\OLVCp) where in each time step $t \in \{1,\ldots, T\}$, we need to play an action $i \in \{1,\ldots,n\}$ that incurs an unknown vector cost in $[0,1]^{d}$. The goal of the online algorithm is…

机器学习 · 计算机科学 2020-10-19 Thomas Kesselheim , Sahil Singla

This work presents an optimally-competitive algorithm for the problem of maximum weighted online perfect bipartite matching with i.i.d. arrivals. In this problem, we are given a known set of workers, a distribution over job types, and…

数据结构与算法 · 计算机科学 2019-06-03 Minjun Chang , Dorit S. Hochbaum , Quico Spaen , Mark Velednitsky

In the streaming model, the order of the stream can significantly affect the difficulty of a problem. A $t$-semirandom stream was introduced as an interpolation between random-order ($t=1$) and adversarial-order ($t=n$) streams where an…

数据结构与算法 · 计算机科学 2017-11-28 Harry Lang

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-05-21 Jiashuo Jiang

We consider the problem of strongly-convex online optimization in presence of adversarial delays; in a T-iteration online game, the feedback of the player's query at time t is arbitrarily delayed by an adversary for d_t rounds and delivered…

机器学习 · 计算机科学 2019-09-12 Daniel Khashabi , Kent Quanrud , Amirhossein Taghvaei

In this paper, we study the classical Hedge algorithm in combinatorial settings. In each round, the learner selects a vector $\boldsymbol{x}_t$ from a set $X \subseteq \{0,1\}^d$, observes a full loss vector $\boldsymbol{y}_t \in…

机器学习 · 计算机科学 2025-10-27 Zhiyuan Fan , Arnab Maiti , Kevin Jamieson , Lillian J. Ratliff , Gabriele Farina

We consider online strategies for discriminating between symmetric pure states with zero error when $n$ copies of the states are provided. Optimized online strategies involve local, possibly adaptive measurements on each copy and are…

量子物理 · 物理学 2022-03-02 Gael Sentís , Esteban Martínez-Vargas , Ramon Muñoz-Tapia

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

While online bipartite matching has gained significant attention in recent years, existing analyses in stochastic settings fail to capture the performance of algorithms on heterogeneous graphs, such as those incorporating inter-group…

数据结构与算法 · 计算机科学 2025-06-06 Maria Cherifa , Clément Calauzènes , Vianney Perchet

We consider the problem of deterministic load balancing of tokens in the discrete model. A set of $n$ processors is connected into a $d$-regular undirected network. In every time step, each processor exchanges some of its tokens with each…

数据结构与算法 · 计算机科学 2015-02-24 Petra Berenbrink , Ralf Klasing , Adrian Kosowski , Frederik Mallmann-Trenn , Przemyslaw Uznanski

We study stationary online bipartite matching, where both types of nodes--offline and online--arrive according to Poisson processes. Offline nodes wait to be matched for some random time, determined by an exponential distribution, while…

数据结构与算法 · 计算机科学 2024-11-14 Alireza AmaniHamedani , Ali Aouad , Tristan Pollner , Amin Saberi

The work establishes the exact performance limits of stochastic coded caching when users share a bounded number of cache states, and when the association between users and caches, is random. Under the premise that more balanced…

信息论 · 计算机科学 2021-01-12 Adeel Malik , Berksan Serbetci , Emanuele Parrinello , Petros Elia

This paper initiates the study of online algorithms for the maximum weight $b$-matching problem, a generalization of maximum weight matching where each node has at most $b \geq 1$ adjacent matching edges. The problem is motivated by…

网络与互联网体系结构 · 计算机科学 2021-03-16 Marcin Bienkowski , David Fuchssteiner , Jan Marcinkowski , Stefan Schmid

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

We study the well-motivated problem of online distribution shift in which the data arrive in batches and the distribution of each batch can change arbitrarily over time. Since the shifts can be large or small, abrupt or gradual, the length…

机器学习 · 计算机科学 2025-04-11 Dheeraj Baby , Boran Han , Shuai Zhang , Cuixiong Hu , Yuyang Wang , Yu-Xiang Wang

In this paper we present improved bounds for approximating maximum matchings in bipartite graphs in the streaming model. First, we consider the question of how well maximum matching can be approximated in a single pass over the input using…

数据结构与算法 · 计算机科学 2021-03-18 Michael Kapralov

Scheduling packets with end-to-end deadline constraints in multihop networks is an important problem that has been notoriously difficult to tackle. Recently, there has been progress on this problem in the worst-case traffic setting, with…

网络与互联网体系结构 · 计算机科学 2023-10-31 Christos Tsanikidis , Javad Ghaderi

We study online capacitated resource allocation, a natural generalization of online stochastic max-weight bipartite matching. This problem is motivated by ride-sharing and Internet advertising applications, where online arrivals may have…

数据结构与算法 · 计算机科学 2024-06-13 Alexander Braun , Thomas Kesselheim , Tristan Pollner , Amin Saberi

The tolerance of an element of a combinatorial optimization problem with respect to a given optimal solution is the maximum change, i.e., decrease or increase, of its cost, such that this solution remains optimal. The bottleneck path…

数据结构与算法 · 计算机科学 2024-10-02 Kirill V. Kaymakov , Dmitry S. Malyshev