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Author:

Tan, Jingjing (Tan, Jingjing.) | Sun, Yue (Sun, Yue.) | Xu, Yicheng (Xu, Yicheng.) | Zou, Juan (Zou, Juan.)

Indexed by:

EI Scopus SCIE

Abstract:

Many practical problems emphasize the importance of not only knowing whether an element is selected but also deciding to what extent it is selected, which imposes a challenge on submodule optimization. In this study, we consider the monotone, nondecreasing, and non-submodular maximization on the integer lattice with a cardinality constraint. We first design a two-pass streaming algorithm by refining the estimation interval of the optimal value. For each element, the algorithm not only decides whether to save the element but also gives the number of reservations. Then, we introduce the binary search as a subroutine to reduce the time complexity. Next, we obtain a one-pass streaming algorithm by dynamically updating the estimation interval of optimal value. Finally, we improve the memory complexity of this algorithm.

Keyword:

streaming algorithm integer lattice cardinality constraint non-submodular

Author Community:

  • [ 1 ] [Tan, Jingjing]Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China
  • [ 2 ] [Sun, Yue]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Xu, Yicheng]Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen 518055, Peoples R China
  • [ 4 ] [Zou, Juan]Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

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Source :

TSINGHUA SCIENCE AND TECHNOLOGY

ISSN: 1007-0214

Year: 2023

Issue: 5

Volume: 28

Page: 888-895

6 . 6 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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