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In the online bipartite matching with reassignments problem, an algorithm is initially given only one side of the vertex set of a bipartite graph; the vertices on the other side are revealed to the algorithm one by one, along with its…

数据结构与算法 · 计算机科学 2020-03-12 Yongho Shin , Kangsan Kim , Seungmin Lee , Hyung-Chan An

We initiate the study of two-sided online resource allocation with costly cancellations. Our focus is on edge-weighted online bipartite matching (and several of its extensions), where nodes arrive online and request offline resources. In…

数据结构与算法 · 计算机科学 2025-09-04 Farbod Ekbatani , Yiding Feng , Rad Niazadeh

Motivated by online recommendation systems, we propose the problem of finding the optimal policy in multitask contextual bandits when a small fraction $\alpha < 1/2$ of tasks (users) are arbitrary and adversarial. The remaining fraction of…

机器学习 · 计算机科学 2022-02-01 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

It is common to encounter situations where one must solve a sequence of similar computational problems. Running a standard algorithm with worst-case runtime guarantees on each instance will fail to take advantage of valuable structure…

机器学习 · 计算机科学 2019-04-29 Daniel Alabi , Adam Tauman Kalai , Katrina Ligett , Cameron Musco , Christos Tzamos , Ellen Vitercik

Over the past decade, GPS enabled traffic applications, such as Google Maps and Waze, have become ubiquitous and have had a significant influence on billions of daily commuters' travel patterns. A consequence of the online route suggestions…

最优化与控制 · 数学 2021-09-21 Devansh Jalota , Dario Paccagnan , Maximilian Schiffer , Marco Pavone

Principal component analysis (PCA) requires the computation of a low-rank approximation to a matrix containing the data being analyzed. In many applications of PCA, the best possible accuracy of any rank-deficient approximation is at most a…

统计计算 · 统计学 2010-06-04 Vladimir Rokhlin , Arthur Szlam , Mark Tygert

In this paper, we consider a problem of learning supervised PageRank models, which can account for some properties not considered by classical approaches such as the classical PageRank algorithm. Due to huge hidden dimension of the…

We implement and test the performances of several approximation algorithms for computing the minimum dominating set of a graph. These algorithms are the standard greedy algorithm, the recent LP rounding algorithms and a hybrid algorithm…

数据结构与算法 · 计算机科学 2020-09-11 Jonathan S. Li , Rohan Potru , Farhad Shahrokhi

We present deterministic and randomized algorithms for the problem of online packet routing in grids in the competitive network throughput model \cite{AKOR}. In this model the network has nodes with bounded buffers and bounded link…

数据结构与算法 · 计算机科学 2014-09-02 Guy Even , Moti Medina

We propose average unfairness as a new measure of fairness in routing games, defined as the ratio between the average latency and the minimum latency experienced by users. This measure is a natural complement to two existing unfairness…

多智能体系统 · 计算机科学 2026-01-23 Pan-Yang Su , Arwa Alanqary , Bryce L. Ferguson , Manxi Wu , Alexandre M. Bayen , Shankar Sastry

We study the problem of vertex-weighted online bipartite matching with stochastic rewards where matches may fail with some known probability and the decision maker has to adapt to the sequential realization of these outcomes. Recent works…

数据结构与算法 · 计算机科学 2024-01-10 Rajan Udwani

Optimal paths connecting randomly selected network nodes and fixed routers are studied analytically in the presence of non-linear overlap cost that penalizes congestion. Routing becomes increasingly more difficult as the number of selected…

无序系统与神经网络 · 物理学 2012-05-15 Chi Ho Yeung , David Saad

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

数据结构与算法 · 计算机科学 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

Stochastic dominance is a technique for evaluating the performance of online algorithms that provides an intuitive, yet powerful stochastic order between the compared algorithms. Accordingly this holds for bijective analysis, which can be…

数据结构与算法 · 计算机科学 2016-07-22 Spyros Angelopoulos , Marc P. Renault , Pascal Schweitzer

In many practical scenarios, a flying insect must search for the source of an emitted cue which is advected by the atmospheric wind. On the macroscopic scales of interest, turbulence tends to mix the cue into patches of relatively high…

流体动力学 · 物理学 2023-11-07 Robin A. Heinonen , Luca Biferale , Antonio Celani , Massimo Vergassola

Suppose that $n$ items arrive online in random order and the goal is to select $k$ of them such that the expected sum of the selected items is maximized. The decision for any item is irrevocable and must be made on arrival without knowing…

数据结构与算法 · 计算机科学 2020-12-02 Susanne Albers , Leon Ladewig

We study a variant of the searching problem where the environment consists of a known terrain and the goal is to obtain visibility of an unknown target point on the surface of the terrain. The searcher starts on the surface of the terrain…

计算几何 · 计算机科学 2024-01-03 Sarita de Berg , Nathan van Beusekom , Max van Mulken , Kevin Verbeek , Jules Wulms

We study the measure of order-competitive ratio introduced by Ezra et al. [2023] for online algorithms in Bayesian combinatorial settings. In our setting, a decision-maker observes a sequence of elements that are associated with stochastic…

计算机科学与博弈论 · 计算机科学 2023-07-07 Tomer Ezra , Tamar Garbuz

Relative worst order analysis is a supplement or alternative to competitive analysis which has been shown to give results more in accordance with observed behavior of online algorithms for a range of different online problems. The…

数据结构与算法 · 计算机科学 2015-03-17 Martin R. Ehmsen , Jens S. Kohrt , Kim S. Larsen

We address the challenge of finding algorithms for online allocation (i.e. bipartite matching) using a machine learning approach. In this paper, we focus on the AdWords problem, which is a classical online budgeted matching problem of both…

机器学习 · 计算机科学 2020-10-19 Goran Zuzic , Di Wang , Aranyak Mehta , D. Sivakumar