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Regularized Submodular Maximization over Integer Lattice

delete2026-01-01
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PRE
AI
Z
Zhicheng Liu
Y
Yang Lv
Y
Yapu Zhang *
Z
Zhenning Zhang
DOI:10.1007/978-981-95-0215-8_11delete
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Abstract

Abstract

En 中文
In this paper, we delve deeply into the problem of regularized submodular maximization over the integer lattice. Our objective function, f - c, is simply the difference between a non-negative monotone submodular function f and a non-negative modular function c. While this problem has gained much attention in the set scenario recently, we broaden our focus to include the integer lattice. Our main contribution is an efficient algorithm for this problem, backed by strong approximation guarantees. We also test our algorithm in the real-world application of D-optimal design. To ensure fair comparisons, we created a greedy algorithm and calculated its approximation guarantees. The results show that our algorithm performs remarkably well with real datasets.
Keywords:
lattice submodular
greedy
integer lattice
offline model

Journal

C
COMPUTING AND COMBINATORICS, COCOON 2025, PT I
IF:
0
Papers:
24
Citations:
0

Organization

B
beijing university of technology
Scholars:
5.2K
Papers: 1.7K
Citations: 0