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We propose a simple distributed algorithm for balancing indivisible tokens on graphs. The algorithm is completely deterministic, though it tries to imitate (and enhance) a random algorithm by keeping the accumulated rounding errors as small…

Data Structures and Algorithms · Computer Science 2013-04-22 Tobias Friedrich , Martin Gairing , Thomas Sauerwald

The online matching problem was introduced by Karp, Vazirani and Vazirani (STOC 1990) on bipartite graphs with vertex arrivals. It is well-known that the optimal competitive ratio is $1-1/e$ for both integral and fractional versions of the…

Data Structures and Algorithms · Computer Science 2026-04-20 Sander Borst , Danish Kashaev , Zhuan Khye Koh

In this paper, we study max-weight stochastic matchings on online bipartite graphs under both vertex and edge arrivals. We focus on designing polynomial time approximation algorithms with respect to the online benchmark, which was first…

Data Structures and Algorithms · Computer Science 2022-06-06 Mark Braverman , Mahsa Derakhshan , Antonio Molina Lovett

We present a new approach, called a lazy matching, to the problem of on-line matching on bipartite graphs. Imagine that one side of a graph is given and the vertices of the other side are arriving on-line. Originally, incoming vertex is…

Data Structures and Algorithms · Computer Science 2018-05-21 Jakub Kozik , Grzegorz Matecki

We consider the following stochastic optimization problem first introduced by Chen et al. in \cite{chen}. We are given a vertex set of a random graph where each possible edge is present with probability p_e. We do not know which edges are…

Data Structures and Algorithms · Computer Science 2015-03-20 Kevin Costello , Prasad Tetali , Pushkar Tripathi

Closed-loop decision-making systems (e.g., lending, screening, or recidivism risk assessment) often operate under fairness and service constraints while inducing feedback effects: decisions change who appears in the future, yielding…

Machine Learning · Computer Science 2025-12-30 Wenzhang Du

Huang et al.~(STOC 2018) introduced the fully online matching problem, a generalization of the classic online bipartite matching problem in that it allows all vertices to arrive online and considers general graphs. They showed that the…

Data Structures and Algorithms · Computer Science 2018-10-19 Zhiyi Huang , Binghui Peng , Zhihao Gavin Tang , Runzhou Tao , Xiaowei Wu , Yuhao Zhang

The online stochastic matching problem was introduced by [FMMM09], together with the $(1-\frac1e)$-competitive Suggested Matching algorithm. In the most general edge-weighted setting, this ratio has not been improved for more than one…

Data Structures and Algorithms · Computer Science 2026-05-12 Shuyi Yan

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…

Data Structures and Algorithms · Computer Science 2024-06-13 Alexander Braun , Thomas Kesselheim , Tristan Pollner , Amin Saberi

We formalize sequential decision-making with information acquisition as the probing-augmented user-centric selection (PUCS) framework, where a learner first probes a subset of arms to obtain side information on resources and rewards, and…

Machine Learning · Computer Science 2025-08-19 Tianyi Xu , Yiting Chen , Henger Li , Zheyong Bian , Emiliano Dall'Anese , Zizhan Zheng

Karp, Vazirani, and Vazirani (STOC 1990) initiated the study of online bipartite matching, which has held a central role in online algorithms ever since. Of particular importance are the Ranking algorithm for integral matching and the…

Data Structures and Algorithms · Computer Science 2020-05-14 Zhiyi Huang , Zhihao Gavin Tang , Xiaowei Wu , Yuhao Zhang

Several clustering frameworks with interactive (semi-supervised) queries have been studied in the past. Recently, clustering with same-cluster queries has become popular. An algorithm in this setting has access to an oracle with full…

Data Structures and Algorithms · Computer Science 2019-08-15 Barna Saha , Sanjay Subramanian

In the online multiple knapsack problem, an algorithm faces a stream of items, and each item has to be either rejected or stored irrevocably in one of $n$ bins (knapsacks) of equal size. The gain of an~algorithm is equal to the sum of sizes…

Data Structures and Algorithms · Computer Science 2020-04-29 Marcin Bienkowski , Maciej Pacut , Krzysztof Piecuch

Recently, the first online complexity class, AOC, was introduced. The class consists of many online problems where each request must be either accepted or rejected, and the aim is to either minimize or maximize the number of accepted…

Data Structures and Algorithms · Computer Science 2017-08-15 Joan Boyar , Lene M. Favrholdt , Christian Kudahl , Jesper W. Mikkelsen

Nearly three decades ago, Bar-Noy, Motwani and Naor showed that no online edge-coloring algorithm can edge color a graph optimally. Indeed, their work, titled "the greedy algorithm is optimal for on-line edge coloring", shows that the…

Data Structures and Algorithms · Computer Science 2021-05-17 Amin Saberi , David Wajc

Online optimization covers problems such as online resource allocation, online bipartite matching, adwords (a central problem in e-commerce and advertising), and adwords with separable concave returns. We analyze the worst case competitive…

Data Structures and Algorithms · Computer Science 2016-11-03 Reza Eghbali , Maryam Fazel

In online algorithm selection (OAS), instances of an algorithmic problem class are presented to an agent one after another, and the agent has to quickly select a presumably best algorithm from a fixed set of candidate algorithms. For…

Machine Learning · Computer Science 2021-09-15 Alexander Tornede , Viktor Bengs , Eyke Hüllermeier

Most prior work on online matching problems has been with the flexibility of keeping some vertices unmatched. We study three related online matching problems with the constraint of matching every vertex, i.e., with no rejections. We adopt a…

Data Structures and Algorithms · Computer Science 2021-12-15 Mohak Goyal

We study online convex optimization in the random order model, recently proposed by \citet{garber2020online}, where the loss functions may be chosen by an adversary, but are then presented to the online algorithm in a uniformly random…

Machine Learning · Computer Science 2021-06-30 Uri Sherman , Tomer Koren , Yishay Mansour

Black-box adversarial attacks that minimize only the ground-truth confidence suffer from class drift: perturbations wander through the feature space without committing to a specific adversarial class, wasting queries on diffuse, undirected…

Machine Learning · Computer Science 2026-05-26 Florent Tariolle , Florian Yger
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