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The online submodular cover problem

WebJan 28, 2024 · In the submodular cover problem, we are given a monotone submodular function f: 2 N R +, and we want to pick the min-cost set S such that f(S) = f(N).This … Websubmodular valuations, but the best known online algorithm gave only an o(1) improvement over 1=2 [DS06]. Our results. We prove that: In the online setting with submodular valuations, the factor of 1=2 cannot be improved unless NP = RP (even by randomized algorithms against an oblivious adversary). Hence, the greedy

SIMILAR: Submodular Information Measures Based Active …

WebOnline Submodular Minimization for Combinatorial Structures Table 1. Overview of regret bounds. The approximation factor is underlined, kis the maximum frequency, Uthe universe to cover. In a graph G= (V;E), n= jVj; for set cover, mis the number of sets. for complete bipartite graphs set cover vertex cover (s;t)-cut spanning tree perfect matching WebNov 18, 2024 · There exists a large body of literature studying the above problem and there is a beautiful line of research in this field. When c is a linear function and f is a submodular function, the above problem is known as Minimum Submodular Cover problem. The greedy algorithm proposed by Wolsey produces an \(H(\delta )\)-approximation solution for … moffetts nuig https://ajrnapp.com

A Generalization of Submodular Cover via the Diminishing

WebJan 28, 2024 · In the submodular cover problem, we are given a monotone submodular function f: 2 N R +, and we want to pick the min-cost set S such that f(S) = f(N).This captures the set cover problem when f is a coverage function. Motivated by problems in network monitoring and resource allocation, we consider the submodular cover problem in an … WebCoverage breach problems in bandwidth-constrained sensor networks Weili Wu, Maggie Xiaoyan Cheng, Lu Ruan, 2007, TOSN. An Efficient Randomized Algorithm for Rumor Blocking in Online Social Networks ... Non-submodular model for group profit maximization problem in social networks Weili Wu, Jian-ming Zhu, Smita Ghosh, 2024 . ... Webproperties and use it in characterizing an LP relaxation to the online submodular cover problem. This paper provides a complete picture of the combinatorial information measures defined via general submodular functions, by studying various properties, examples, optimization problems, and applications. A road-map of this paper is as follows. moffett street south shields

Approximation algorithms for the submodular edge cover problem with …

Category:Random Order Set Cover is as Easy as Offline - ResearchGate

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The online submodular cover problem

SIMILAR: Submodular Information Measures Based Active …

Webthe DR submodular cover problem (4) includes the set cover problem, in which we are given a collection of sets, and we want to find a minimum number of sets that covers all the elements. In our context, Scorresponds to the collection of sets, the cost cis the number of chosen sets, and f is the number of covered elements. WebFor example the Submodular Set Cover problem (henceforth SSC) [29] occurs as a special case of Problem 1, with fbeing modular and gis submodular. Similarly the Submodular Cost Knapsack problem (henceforth SK) [28] is a special case of problem 2 again when fis modular and gsubmodular. Both these problems subsume the Set Cover and Max k-Cover …

The online submodular cover problem

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WebOct 25, 2024 · In this paper, we study the adaptive submodular cover problem under the worst-case setting. This problem generalizes many previously studied problems, namely, the pool-based active learning and the stochastic submodular set cover. The input of our problem is a set of items (e.g., medical tests) and each item has a random state (e.g., the … WebJun 6, 2024 · In this paper, we consider the submodular edge cover problem with submodular penalties. In this problem, we are given an undirected graph G = (V, E) with vertex set V and edge set E.Assume the covering cost function c: 2 E → R + and the penalty function p: 2 V → R + are both submodular with p non-decreasing, c (∅) = 0 and p (∅) = …

WebJan 10, 2024 · The submodular vertex cover problem with submodular penalties is defined as follows. In this problem, we are given a finite undirected graph G = ( V, E), and … WebTheOnlineSubmodularCoverProblem AnupamGupta∗ RoieLevin Abstract Inthesubmodularcoverproblem,wearegivenamonotone submodularfunctionf : 2N!R …

WebThis allows us to design a constructive variant of a greedy subspace projections in [1], [2] according to a submodular set cover (SSC) problem, which provably picks at most … WebJun 22, 2024 · For the unconstrained non-monotone maximization problem, we show a positive result: For every instance, and ... A Threshold of ln n for Approximating Set Cover. J. ACM 45, 4 ( 1998 ), 634-652 ... Symmetry and Approximability of Submodular Maximization Problems. In 50th Annual IEEE Symposium on Foundations of Computer Science, FOCS …

WebDec 1, 2024 · Minimum Submodular Cover problem often occurs naturally in the context of combinatorial optimization. It is well-known that the greedy algorithm achieves an H (δ)-approximation guarantee for an integer-valued polymatroid potential function f, where δ is the maximum value of f over all singletons and H (δ) is the δ-th harmonic number.In this …

WebApr 13, 2024 · The problem is to select one subset from each group to cover the maximum total number of composed targets, where a composed target is said to be covered if all elements in the composed target are covered. ... An analysis of the greedy algorithm for the submodular set covering problem. Combinatorica 2(4), 385–393 (1982) Article … moffetts piesWebJul 1, 2024 · The online submodular cover problem. In ACM-SIAM Symposium on Discrete Algorithms, 2024. A memoization framework for scaling submodular optimization to large scale problems moffett surnameWebWe study the Minimum Latency Submodular Cover (MLSC) problem, which consists of a metric (V, d) with source r ∈ V and m monotone submodular functions f 1, f 2, …, f m: 2 V → [0, 1].The goal is to find a path originating at r that minimizes the total “cover time” of all functions. This generalizes well-studied problems, such as Submodular Ranking [Azar and … moffetts university of galwayWebproperties and use it in characterizing an LP relaxation to the online submodular cover problem. This paper provides a complete picture of the combinatorial information … moffetts rushville indianaWebMar 22, 2016 · Online submodular welfare maximization Greedy is optimal.pdf. Onlinesubmodular welfare maximization: Greedy optimalMichael Kapralov IanPost JanVondr ak AbstractWe prove onlinealgorithm (even randomized, against obliviousadversary) betterthan 1/2-competitive welfaremaximization coveragevaluations, unless NP RP.Since … moffetts pot piesmoffetts pie shopWebcal problem of handling a variety of user intents; when a user searches for a term such as “jaguar” their intended meaning could be the car, the animal, the American football team, or a number of different meanings. This paper compares the PRP and diversity principle from an online algorithm perspective. We compare our online al- moffetts water care greensburg