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We improve upon the running time for finding a point in a convex set given a separation oracle. In particular, given a separation oracle for a convex set $K\subset \mathbb{R}^n$ contained in a box of radius $R$, we show how to either find a…

数据结构与算法 · 计算机科学 2015-11-06 Yin Tat Lee , Aaron Sidford , Sam Chiu-wai Wong

We study an online linear optimization (OLO) problem in which the learner is provided access to $K$ "hint" vectors in each round prior to making a decision. In this setting, we devise an algorithm that obtains logarithmic regret whenever…

机器学习 · 计算机科学 2020-10-08 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit

In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

计算几何 · 计算机科学 2018-03-21 Sharath Raghvendra

We study Online Linear Programming (OLP) with batching. The planning horizon is cut into $K$ batches, and the decisions on customers arriving within a batch can be delayed to the end of their associated batch. Compared with OLP without…

机器学习 · 计算机科学 2024-08-02 Haoran Xu , Peter W. Glynn , Yinyu Ye

The Kemeny aggregation problem consists of computing the consensus rankings of an election with respect to the well-known Kemeny-Young voting method. These consensus rankings satisfy various fundamental properties and are the geometric…

数据结构与算法 · 计算机科学 2026-03-17 Xuan Kien Phung , Sylvie Hamel

The problem of electing a leader from among $n$ contenders is one of the fundamental questions in distributed computing. In its simplest formulation, the task is as follows: given $n$ processors, all participants must eventually return a…

分布式、并行与集群计算 · 计算机科学 2015-02-17 Dan Alistarh , Rati Gelashvili , Adrian Vladu

We study a sequential resource allocation problem between a fixed number of arms. On each iteration the algorithm distributes a resource among the arms in order to maximize the expected success rate. Allocating more of the resource to a…

机器学习 · 计算机科学 2018-03-29 Yuval Dagan , Koby Crammer

The currently fastest algorithm for regular expression pattern matching and membership improves the classical O(nm) time algorithm by a factor of about log^{3/2}n. Instead of focussing on general patterns we analyse homogeneous patterns of…

计算复杂性 · 计算机科学 2020-09-22 Philipp Schepper

We study online reinforcement learning in linear Markov decision processes with adversarial losses and bandit feedback, without prior knowledge on transitions or access to simulators. We introduce two algorithms that achieve improved regret…

机器学习 · 计算机科学 2023-10-19 Haolin Liu , Chen-Yu Wei , Julian Zimmert

We study the Independent Feedback Vertex Set problem - a variant of the classic Feedback Vertex Set problem where, given a graph $G$ and an integer $k$, the problem is to decide whether there exists a vertex set $S\subseteq V(G)$ such that…

数据结构与算法 · 计算机科学 2020-02-03 Shaohua Li , Marcin Pilipczuk

In this work we completely characterize how the frequency with which each player participates in the game dynamics affects the possibility of reaching efficient states, i.e., states with an approximation ratio within a constant factor from…

计算机科学与博弈论 · 计算机科学 2011-05-02 Angelo Fanelli , Luca Moscardelli , Alexander Skopalik

The maximum bipartite matching problem is among the most fundamental and well-studied problems in combinatorial optimization. A beautiful and celebrated combinatorial algorithm of Hopcroft and Karp (1973) shows that maximum bipartite…

数据结构与算法 · 计算机科学 2023-12-21 Julia Chuzhoy , Sanjeev Khanna

Permutation patterns and pattern avoidance have been intensively studied in combinatorics and computer science, going back at least to the seminal work of Knuth on stack-sorting (1968). Perhaps the most natural algorithmic question in this…

数据结构与算法 · 计算机科学 2019-08-14 Benjamin Aram Berendsohn , László Kozma , Dániel Marx

We study the $K$-armed contextual dueling bandit problem, a sequential decision making setting in which the learner uses contextual information to make two decisions, but only observes \emph{preference-based feedback} suggesting that one…

机器学习 · 计算机科学 2021-11-25 Aadirupa Saha , Akshay Krishnamurthy

We study the problem of \emph{dynamic regret minimization} in $K$-armed Dueling Bandits under non-stationary or time varying preferences. This is an online learning setup where the agent chooses a pair of items at each round and observes…

机器学习 · 计算机科学 2022-06-14 Aadirupa Saha , Shubham Gupta

Recent empirical evaluations of exact algorithms for Feedback Vertex Set have demonstrated the efficiency of a highest-degree branching algorithm with a degree-based pruning heuristic. In this paper, we prove that this empirically fast…

数据结构与算法 · 计算机科学 2019-05-30 Yoichi Iwata , Yusuke Kobayashi

In this paper, we present an algorithm for computing a feedback vertex set of a unit disk graph of size $k$, if it exists, which runs in time $2^{O(\sqrt{k})}(n+m)$, where $n$ and $m$ denote the numbers of vertices and edges, respectively.…

计算几何 · 计算机科学 2021-07-09 Shinwoo An , Eunjin Oh

We study the question of obtaining last-iterate convergence rates for no-regret learning algorithms in multi-player games. We show that the optimistic gradient (OG) algorithm with a constant step-size, which is no-regret, achieves a…

机器学习 · 计算机科学 2020-10-27 Noah Golowich , Sarath Pattathil , Constantinos Daskalakis

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

数据结构与算法 · 计算机科学 2021-04-20 Xiaocheng Li , Yinyu Ye

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

机器学习 · 计算机科学 2021-05-11 Aadirupa Saha , Aditya Gopalan