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A novel associative memory model based on semi-tensor product (STP). [PDF]
Front Comput NeurosciA good intelligent learning model is the key to complete recognition of scene information and accurate recognition of specific targets in intelligent unmanned system. This study proposes a new associative memory model based on the semi-tensor product (STP) of matrices, to address the problems of information storage capacity and association. First, some
Hou Y, Tian H, Wang C.
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Generalised semi‐tensor product of matrices [PDF]
IET Control Theory & Applications, 2020 By introducing matrix multiplier and vector multiplier two kinds of semi‐tensor products (STPs), called matrix–matrix (MM) STPs and matrix–vector (MV) STPs, are introduced. They are generalisations of conventional matrix product, and contain standard STP as a particular case. Certain properties are revealed.
Cheng, Daizhan +3 more
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Perfect hypercomplex algebras: Semi-tensor product approach
Mathematical Modelling and Control, 2021 <abstract><p>The set of associative and commutative hypercomplex numbers, called the perfect hypercomplex algebras (PHAs) is investigated. Necessary and sufficient conditions for an algebra to be a PHA via semi-tensor product (STP) of matrices are reviewed.
Daizhan Cheng +4 more
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Algebraic Relations among Four Types of Right Semi-Tensor Product [PDF]
Mathematical Problems in Engineering, 2021 In this paper, algebraic relations among four kinds of right semi-tensor product (STP) are discussed. Firstly, this paper provides definitions of right STPs, consisting of the first right matrix-matrix STP, the second right matrix-matrix STP, the first right matrix-vector STP, and the second right matrix-vector STP.
Nating Chen, Menglei Lin, Yiliang Li
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Concerning the semistability of tensor products in Arakelov geometry [PDF]
, 2012 We study the semistability of the tensor product of hermitian vector bundles by using the $\varepsilon$-tensor product and the geometric (semi)stability of vector subspaces in the tensor product of two vector ...
Bost, Jean-Benoît, Chen, Huayi
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General decomposition of fuzzy relations: Semi-tensor product approach
Fuzzy Sets and Systems, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongbiao Fan +3 more
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Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors [PDF]
, 2014 Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors.
Chen, Haibin, Qi, Liqun
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Regularly Decomposable Tensors and Classical Spin States [PDF]
, 2017 A spin-$j$ state can be represented by a symmetric tensor of order $N=2j$ and dimension $4$. Here, $j$ can be a positive integer, which corresponds to a boson; $j$ can also be a positive half-integer, which corresponds to a fermion.
Bohnet-Waldraff, Fabian +4 more
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Efficient Multigrid Preconditioners for Atmospheric Flow Simulations at High Aspect Ratio [PDF]
, 2015 Many problems in fluid modelling require the efficient solution of highly anisotropic elliptic partial differential equations (PDEs) in "flat" domains. For example, in numerical weather- and climate-prediction an elliptic PDE for the pressure correction ...
Adams +57 more
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General Matter Coupled N=4 Gauged Supergravity in Five Dimensions [PDF]
, 2001 We construct the general form of matter coupled N=4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are present, they
Dall'Agata, Gianguido +2 more
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