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Author:

Cui, Min (Cui, Min.) | Du, Donglei (Du, Donglei.) | Gai, Ling (Gai, Ling.) | Yang, Ruiqi (Yang, Ruiqi.)

Indexed by:

Scopus SCIE

Abstract:

Many real-world applications arising from social networks, personalized recommendations, and others, require extracting a relatively small but broadly representative portion of massive data sets. Such problems can often be formulated as maximizing a monotone set function with cardinality constraints. In this paper, we consider a streaming model where elements arrive quickly over time, and create an effective, and low-memory algorithm. First, we provide the first single-pass linear-time algorithm, which is a a deterministic algorithm, achieves an approximation ratio of [gamma(4)/a(1+gamma+gamma(2)+gamma(3)) - epsilon] for any epsilon >= 0 with a query complexity of inverted right perpendicularn/ainverted left perpendicular + a and a memory complexity of O(ak log(k) log(1/epsilon)), where a is a positive integer and gamma is the submodularity ratio. However, the algorithm may produce less-than-ideal results. Our next result is to describe a multi-streaming algorithm, which is the first deterministic algorithm to attain an approximation ratio of 1 - e(- gamma) - epsilon with linear query complexity.

Keyword:

streaming linear-time Cardinality-constrained

Author Community:

  • [ 1 ] [Cui, Min]Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
  • [ 2 ] [Cui, Min]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Yang, Ruiqi]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 4 ] [Du, Donglei]Univ New Brunswick, Fac Management, Fredericton, NB E3B 5A3, Canada
  • [ 5 ] [Gai, Ling]Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China
  • [ 6 ] [Gai, Ling]Univ Shanghai Sci & Technol, Sch Intelligent Emergency Management, Shanghai 200093, Peoples R China

Reprint Author's Address:

  • [Gai, Ling]Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China;;[Gai, Ling]Univ Shanghai Sci & Technol, Sch Intelligent Emergency Management, Shanghai 200093, Peoples R China;;

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Source :

INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE

ISSN: 0129-0541

Year: 2023

Issue: 06

Volume: 35

Page: 631-650

0 . 8 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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