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This paper considers the use of Yao's Minimax Theorem in robust algorithm design, e.g., for online algorithms, where the algorithm designer aims to minimize the ratio of the algorithm's performance to the optimal performance. When applying…

计算机科学与博弈论 · 计算机科学 2023-11-29 Jason Hartline , Aleck Johnsen

Many sequential decision making problems can be formulated as an adaptive submodular maximization problem. However, most of existing studies in this field focus on pool-based setting, where one can pick items in any order, and there have…

人工智能 · 计算机科学 2022-08-18 Shaojie Tang , Jing Yuan

The practicality of a video surveillance system is adversely limited by the amount of queries that can be placed on human resources and their vigilance in response. To transcend this limitation, a major effort under way is to include…

计算机视觉与模式识别 · 计算机科学 2014-05-16 Samaneh Khoshrou , Jaime S. Cardoso , Luis F. Teixeira

Often, machine learning applications have to cope with dynamic environments where data are collected in the form of continuous data streams with potentially infinite length and transient behavior. Compared to traditional (batch) data…

机器学习 · 计算机科学 2021-12-21 Guilherme Cassales , Heitor Gomes , Albert Bifet , Bernhard Pfahringer , Hermes Senger

In this paper a new method for checking the subsumption relation for the optimal-size sorting network problem is described. The new approach is based on creating a bipartite graph and modelling the subsumption test as the problem of…

数据结构与算法 · 计算机科学 2017-07-28 Cristian Frasinaru , Madalina Raschip

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

机器学习 · 计算机科学 2013-02-12 H. Brendan McMahan

We study the power of Arthur-Merlin probabilistic proof systems in the data stream model. We show a canonical $\mathcal{AM}$ streaming algorithm for a wide class of data stream problems. The algorithm offers a tradeoff between the length of…

计算复杂性 · 计算机科学 2013-02-05 Tom Gur , Ran Raz

We introduce the natural notion of a matching frame in a $2$-dimensional string. A matching frame in a $2$-dimensional $n\times m$ string $M$, is a rectangle such that the strings written on the horizontal sides of the rectangle are…

数据结构与算法 · 计算机科学 2024-04-19 Itai Boneh , Dvir Fried , Shay Golan , Matan Kraus , Adrian Miclaus , Arseny Shur

In this paper we present theory, algorithms and applications for regression over the max- plus semiring. We show how max-plus 2-norm regression can be used to obtain maximum likelihood estimates for three different inverse problems. Namely…

数值分析 · 数学 2017-12-12 James Hook

We present a bounded-error quantum algorithm for evaluating Min-Max trees. For a tree of size N our algorithm makes N^{1/2+o(1)} comparison queries, which is close to the optimal complexity for this problem.

量子物理 · 物理学 2022-03-29 Richard Cleve , Dmytro Gavinsky , David L. Yonge-Mallo

In this work, we study the classical problem of maximizing a submodular function subject to a matroid constraint. We develop deterministic algorithms that are very parsimonious with respect to querying the submodular function, for both the…

数据结构与算法 · 计算机科学 2024-08-29 Eric Balkanski , Steven DiSilvio , Alan Kuhnle , ChunLi Peng

Sorting is the task of ordering $n$ elements using pairwise comparisons. It is well known that $m=\Theta(n\log n)$ comparisons are both necessary and sufficient when the outcomes of the comparisons are observed with no noise. In this paper,…

信息论 · 计算机科学 2024-07-09 Ziao Wang , Nadim Ghaddar , Banghua Zhu , Lele Wang

Multi-parameter persistent homology is a recent branch of topological data analysis. In this area, data sets are investigated through the lens of homology with respect to two or more scale parameters. The high computational cost of many…

代数拓扑 · 数学 2020-10-30 Michael Kerber , Alexander Rolle

Here, we present a novel algorithm for frequent itemset mining for streaming data (FIM-SD). For the past decade, various FIM-SD methods in one-pass approximation settings have been developed to approximate the frequency of each itemset.…

数据库 · 计算机科学 2019-01-08 Yoshitaka Yamamoto , Yasuo Tabei , Koji Iwanuma

We consider the \textsf{Unit Interval Selection} problem in the one-pass random order streaming model. Here, an algorithm is presented a sequence of $n$ unit-length intervals on the line that arrive in uniform random order, and the…

数据结构与算法 · 计算机科学 2026-03-11 Cezar-Mihail Alexandru , Adithya Diddapur , Magnús M. Halldórsson , Christian Konrad , Kheeran K. Naidu

We give improved multi-pass streaming algorithms for the problem of maximizing a monotone or arbitrary non-negative submodular function subject to a general $p$-matchoid constraint in the model in which elements of the ground set arrive one…

数据结构与算法 · 计算机科学 2021-02-22 Chien-Chung Huang , Theophile Thiery , Justin Ward

We study streaming algorithms for proportionally fair clustering, a notion originally suggested by Chierichetti et. al. (2017), in the sliding window model. We show that although there exist efficient streaming algorithms in the…

数据结构与算法 · 计算机科学 2025-03-10 Vincent Cohen-Addad , Shaofeng H. -C. Jiang , Qiaoyuan Yang , Yubo Zhang , Samson Zhou

In this paper, we present a new ensemble-based filter method by reconstructing the analysis step of the particle filter through a transport map, which directly transports prior particles to posterior particles. The transport map is…

机器学习 · 统计学 2026-05-14 Dengfei Zeng , Lijian Jiang

In the submodular ranking (SR) problem, the input consists of a set of submodular functions defined on a ground set of elements. The goal is to order elements for all the functions to have value above a certain threshold as soon on average…

数据结构与算法 · 计算机科学 2023-03-28 Qingyun Chen , Sungjin Im , Benjamin Moseley , Chenyang Xu , Ruilong Zhang

We initiate the study of the Interval Selection problem in the (streaming) sliding window model of computation. In this problem, an algorithm receives a potentially infinite stream of intervals on the line, and the objective is to maintain…

数据结构与算法 · 计算机科学 2024-11-13 Cezar-Mihail Alexandru , Christian Konrad