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Author:

Yang, Ruiqi (Yang, Ruiqi.) | Xu, Dachuan (Xu, Dachuan.) (Scholars:徐大川) | Jiang, Yanjun (Jiang, Yanjun.) | Wang, Yishui (Wang, Yishui.) | Zhang, Dongmei (Zhang, Dongmei.)

Indexed by:

EI Scopus SCIE

Abstract:

We study a robust parameterized submodular function maximization inspired by [Mitrovic, S, I Bogunovic, A Norouzi-Fardand Jakub Tarnawski (2017). Streaming robust submodular maximization: A partitioned thresholding approach. In Proc. NIPS, pp. 4560-4569] and [Bogunovic, I, J Zhao and V Cevher (2018). Robust maximization of nonsubmodular objectives. In Proc. AISTATS, pp. 890-899]. In our setting, given a parameterized set function, there are two additional twists. One is that elements arrive in a streaming style, and the other is that there are at most tau items deleted from the algorithm's memory when the stream is finished. The goal is to choose a robust set from the stream such that the robust ratio is maximized. We propose a two-phase algorithm for maximizing a normalized monotone robust parameterized submodular function with a cardinality constraint and show the robust ratio is close to a constant as k -> infinity. In the end, we empirically demonstrate the performance of our algorithm on deletion robust support selection problem.

Keyword:

Submodular function robust approximation algorithm stream

Author Community:

  • [ 1 ] [Yang, Ruiqi]Beijing Univ Technol, Dept Operat Res & Sci Comp, 100 Pingleyuan, Beijing 100124, Peoples R China
  • [ 2 ] [Xu, Dachuan]Beijing Univ Technol, Dept Operat Res & Sci Comp, 100 Pingleyuan, Beijing 100124, Peoples R China
  • [ 3 ] [Jiang, Yanjun]Ludong Univ, Sch Math & Stat Sci, 186 Hongqi Middle Rd, Yantai 264025, Shandong, Peoples R China
  • [ 4 ] [Wang, Yishui]Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen 518055, Peoples R China
  • [ 5 ] [Zhang, Dongmei]Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Shandong, Peoples R China

Reprint Author's Address:

  • [Zhang, Dongmei]Shandong Jianzhu Univ, Sch Comp Sci & Technol, Jinan 250101, Shandong, Peoples R China

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Source :

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH

ISSN: 0217-5959

Year: 2019

Issue: 4

Volume: 36

1 . 4 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:136

Cited Count:

WoS CC Cited Count: 10

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

Affiliated Colleges:

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