Results 21 to 30 of about 125,665 (304)
Toward Deep Adaptive Hinging Hyperplanes [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2022 The adaptive hinging hyperplane (AHH) model is a popular piecewise linear representation with a generalized tree structure and has been successfully applied in dynamic system identification. In this article, we aim to construct the deep AHH (DAHH) model to extend and generalize the networking of AHH model for high-dimensional problems.
Qinghua Tao +6 more
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Algorithms, 2014 Stochastic diffusion search (SDS) is a multi-agent global optimisation technique based on the behaviour of ants, rooted in the partial evaluation of an objective function and direct communication between agents. Standard SDS, the fundamental algorithm at
Howard Williams, Mark Bishop
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Control method for shifting the natural frequency of vibration system coupled by springs
Nihon Kikai Gakkai ronbunshu, 2019 Technology development to improve road induced noise is necessary with the market expansion of the electric motor drive vehicles, because road induced noise is noticeable under no engine noise condition.
Masashi KOMADA +4 more
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Random Hyperplane Search Trees
SIAM Journal on Computing, 2009 Summary: A hyperplane search tree is a binary tree used to store a set \(S\) of \(n\) \(d\)-dimensional data points. In a random hyperplane search tree for \(S\), the root represents a hyperplane defined by \(d\) data points drawn uniformly at random from \(S\).
Devroye, L, King, J, McDiarmid, C
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Applied Sciences, 2023 In this paper, a classification recognition algorithm for tower mechanical faults is proposed, and a multiclass central segmentation hyperplane support vector machine (CSH-SVM) is proposed to improve the existing multiclass support vector machine for ...
Shunjie Han +4 more
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An isomorphic version of the Busemann-Petty problem for arbitrary measures [PDF]
, 2014 We prove the following theorem. Let $\mu$ be a measure on $R^n$ with even continuous density, and let $K,L$ be origin-symmetric convex bodies in $R^n$ so that $\mu(K\cap H)\le \mu(L\cap H)$ for any central hyperplane H.
Koldobsky, Alexander, Zvavitch, Artem
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Hyperplane Arrangements and Diagonal Harmonics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In 2003, Haglund's bounce statistic gave the first combinatorial interpretation of the q,t-Catalan numbers and the Hilbert series of diagonal harmonics. In this paper we propose a new combinatorial interpretation in terms of the affine Weyl group of type
Drew Armstrong
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Support and separation properties of convex sets in finite dimension
Extracta Mathematicae, 2021 This is a survey on support and separation properties of convex sets in the n-dimensional Euclidean space. It contains a detailed account of existing results, given either chronologically or in related groups, and exhibits them in a uniform way ...
Valeriu Soltan
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On the crossings number of a hyperplane by a stable random process
Karpatsʹkì Matematičnì Publìkacìï, 2018 The numbers of crossings of a hyperplane by discrete approximations for trajectories of an $\alpha$-stable random process (with ...
M.M. Osypchuk
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Flag enumerations of matroid base polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In this paper, we study flag structures of matroid base polytopes. We describe faces of matroid base polytopes in terms of matroid data, and give conditions for hyperplane splits of matroid base polytopes.
Sangwook Kim
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