2024 The online submodular cover problem

The online submodular cover problem

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Webcal 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- 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 (∅) = …

A polynomial lower bound on adaptive complexity of submodular ...

WebJun 16, 2024 · 1. The goal is to find a minimum weight subset S \subseteq N such that f (S) = f (N). Set Cover is a special case where N represents the sets in the set system and f … 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 … mass shooting in south carolina

The online submodular cover problem - ACM Conferences

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 … 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 … WebWe 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 … mass shooting in tennessee

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On Submodular Set Cover Problems for Near-Optimal …

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 Webpower assignment problem. 2 Integral submodular cover In this section, we ﬁrst show a general result on integral submodular cover, and then present a real-world problem as an example of submodular cover problem with sub-modular cost. Theorem 2.1 If f is integer-valued, then the greedy solution of GSC is a ρH(γ)-approximation where γ =maxe ... hyena house marlothWebFor 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 … mass shooting in scotland

"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. " - The online submodular cover problem

The online submodular cover problem

Online submodular welfare maximization Greedy is optimal - 豆丁网

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 … WebJan 1, 2024 · In this paper, we consider the online maximization problems with stochastic linear cumulative constraints, where the objective functions are the sum of ρ-weakly DR-submodular functions and ...

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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 … 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 …

WebDec 7, 2015 · We consider a generalization of the submodular cover problem based on the concept of diminishing return property on the integer lattice. We are motivated by real scenarios in machine learning that cannot be captured by (traditional) sub-modular set functions. We show that the generalized submodular cover problem can be applied to … WebThe online submodular cover problem. Authors: Anupam Gupta. Carnegie Mellon University ...

WebAug 10, 2024 · Improved Parallel Algorithm for Minimum Cost Submodular Cover Problem. In the minimum cost submodular cover problem (MinSMC), we are given a monotone … WebAug 10, 2024 · Improved Parallel Algorithm for Minimum Cost Submodular Cover Problem. In the minimum cost submodular cover problem (MinSMC), we are given a monotone nondecreasing submodular function , a linear cost function , and an integer , the goal is to find a subset with the minimum cost such that . The MinSMC can be found at the heart of …

WebTheOnlineSubmodularCoverProblem AnupamGupta∗ RoieLevin Abstract Inthesubmodularcoverproblem,wearegivenamonotone submodularfunctionf : 2N!R …

WebSep 15, 2024 · An effective way to tackle this problem is by using targeted active learning, where we iteratively add data points that belong to the rare classes, to the training data. However, existing active learning methods are ineffective in targeting rare classes in medical datasets. ... Levin, R.: The online submodular cover problem. In: ACM-SIAM ... hyena houseWebNov 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 … hyena how do they get waterWebThis 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 … hyena human size comparison hyena heightWebIn this paper, we consider parallel-machine scheduling with release times and submodular penalties (P rj,reject Cmax+π(R)), in which each job can be accepted and processed on one of m identical parallel machines or rejected, but a penalty must paid if a job is rejected. Each job has a release time and a processing time, and the job can not be processed before its … mass shooting in pittsburgh paWebMar 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 … hyena hunting wilderbeastWebDec 23, 2024 · The problem is a counterpart to the Stochastic Submodular Cover problem studied by Golovin and Krause [6], which assumes independent variables. We give two … hyena in life of pi