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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.)

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CPCI-S EI Scopus

Abstract:

We study the submodular maximization problem in generalized streaming setting using a two-stage policy. In the streaming context, elements are released in a fashion that an element is revealed at one time. Subject to a limited memory capacity, the problem aims to sieve a subset of elements with a sublinear size l, such that the expecting objective value of all utility functions over the summarized subsets has a performance guarantee. We present a generalized one pass, (gamma(5)(min)/(5 + 2 gamma(2)(min)) - O(is an element of))-approximation, which consumes O(is an element of(-1) l log(l gamma(-1)(min))) memory and runs in O(is an element of(-1) kmn log(l gamma(-1)(min))) time, where k, n, m and gamma(min) denote the cardinality constraint, the element stream size, the amount of the learned functions, and the minimum generic submodular ratio of the learned functions, respectively.

Keyword:

Streaming algorithm Submodular ratio Submodular maximization Approximation ratio

Author Community:

  • [ 1 ] [Yang, Ruiqi]Beijing Univ Technol, Dept Operat Res & Sci Comp, Beijing 100124, Peoples R China
  • [ 2 ] [Xu, Dachuan]Beijing Univ Technol, Dept Operat Res & Sci Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Guo, Longkun]Qilu Univ Technol, Sch Comp Sci & Technol, Shandong Acad Sci, Jinan 250353, Peoples R China
  • [ 4 ] [Zhang, Dongmei]Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Peoples R China

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Source :

THEORY AND APPLICATIONS OF MODELS OF COMPUTATION, TAMC 2020

ISSN: 0302-9743

Year: 2020

Volume: 12337

Page: 193-204

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: 1

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