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Author:

Yang, Ruiqi (Yang, Ruiqi.) | Xu, Dachuan (Xu, Dachuan.) (Scholars:徐大川) | Guo, Longkun (Guo, Longkun.) | Zhang, Dongmei (Zhang, Dongmei.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we study the problem of maximizing a sequence submodular function in the streaming setting, where the utility function is defined on sequences instead of sets of elements. We encode the sequence submodular maximization with a weighted digraph, in which the weight of a vertex reveals the utility value in selecting a single element and the weight of an edge reveals the additional profit with respect to a certain selection sequence. The edges are visited in a streaming fashion and the aim is to sieve a sequence of at most k elements from the stream, such that the utility is maximized. In this work, we present an edge-based threshold procedure, which makes one pass over the stream, attains an approximation ratio of (1/(2 Delta+ 1) - O(epsilon)), consumes O(k Delta/epsilon) memory source in total and O(log(k Delta)/epsilon) update time per edge, where. is the minimum of the maximal outdegree and indegree of the directed graph.

Keyword:

Streaming algorithm Threshold Sequence Submodular maximization

Author Community:

  • [ 1 ] [Yang, Ruiqi]Beijing Univ Technology, Dept Operat Res & Informat Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Xu, Dachuan]Beijing Univ Technology, Dept Operat Res & Informat Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Yang, Ruiqi]Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
  • [ 4 ] [Guo, Longkun]Qilu Univ Technol, Shandong Acad Sci, Sch Comp Sci & Technol, Shandong Key Lab Comp Networks, Jinan 250353, Peoples R China
  • [ 5 ] [Zhang, Dongmei]Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Peoples R China

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Source :

JOURNAL OF COMBINATORIAL OPTIMIZATION

ISSN: 1382-6905

Year: 2020

Issue: 1

Volume: 41

Page: 43-55

1 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:46

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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