Open Access
Convex Analysisの二,三の進展について
徹 丸山
- Vol. 70, Iss: 1, pp 97-119
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The article was published on 1977-02-01 and is currently open access. It has received 5933 citations till now.read more
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Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers
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References
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Journal ArticleDOI
Implementation of Steiner point of fuzzy set.
Jiuzhen Liang,Dejiang Wang +1 more
TL;DR: This paper focuses on establishing efficient methods to compute Steiner point of fuzzy set by proposing linear combination of Steiner points computed by a series of crisp α-cut sets of the fuzzy set.
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Extension of the total mass of log-concave functions and related inequalities
TL;DR: In this paper, the functional Quermassintegrals of log-concave functions are discussed, and a functional version of mixed quermass integral inequality for convex bodies is obtained.
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An existence result for weakly homogeneous variational inequalities
Meng-Meng Zheng,Zheng-Hai Huang +1 more
TL;DR: In this article, the authors obtained an existence result for weakly homogeneous variational inequalities under copositivity of leading term of the involved map, norm-coercivity of the natural map and several additional conditions.
Proceedings ArticleDOI
Distributed set protection with complex adjacency matrices
Youcheng Lou,Yiguang Hong +1 more
TL;DR: A distributed controller is proposed to achieve the distributed set projection with the same distance and different rotation angles specified by a complex-value adjacency matrix to protect/surround a target described by a convex set in a plane.