tensor product
Tensor product dual frames
... The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded antilinear operators between two Hilbert ...addresses tensor product dual ...
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Tensor Product Generation Networks for Deep NLP Modeling
... Tensor Product Representation (TPR) (Smolen- sky, 1990) is a general technique for construct- ing vector embeddings of complex symbol struc- tures in such a way that powerful symbolic func- tions can be ...
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A note on the tensor product of two random unitary matrices
... which is a priori complicated, is replaced by a random unitary matrix, to make a model tractable. This powerful idea goes back to E. Wigner. Here by a n × n random unitary matrix we mean a matrix drawn according to the ...
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Tensor Product of 2 Frames in 2 Hilbert Spaces
... The tensor product of 2-frames in 2-Hilbert spaces is ...the tensor product of two 2-frames is a 2-frame for the tensor product of Hilbert ...on tensor product of ...
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Edge Regular Property of Tensor Product and Normal Product of Two Fuzzy Graphs
... (tensor product) of two fuzzy graphs was defined by Nagoorgani and Radha ...normal product was discussed by Nirmala and Vijaya ...of tensor product and normal ...
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Construction and Application of 3 Point Tensor Product Scheme
... The rest of this paper is organized as follows. In the next section we briefly review the construction of a 3- point tensor product scheme. We discuss the continuity of these schemes in Section 3. Finally, ...
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Tensor Product Representation for Switched Linear Systems
... new tensor-product representation for describing the dynamic behavior of switched linear systems has been ...The tensor-product representation makes it easy to see the relationship between ...
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Wiener Polarity Index of Tensor Product of Graphs
... the tensor product of ...the tensor product of graphs. The Wiener polarity index of tensor product of graphs was wrongly computed in ...
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Bounds for General Connectivity Indices of Tensor Product of Connected Graphs
... the product of graphs is ...for product of graphs, in form of their factor ...important product, called tensor product of graphs in form of its factor ...said product in its ...
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Mixed Transforms Generated by Tensor Product and Applied in Data Processing
... The tensor product, may be applied in different ways in vectors, matrices, spaces, algebras, topological vector and modules, among many other structures or ...this product is also referred to as ...
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Bessel multipliers on the tensor product of Hilbert $C^\ast-$ modules
... the tensor product of a finite number of standard g-frames ...the tensor product of Hilbert C ∗ − modules and vice versa, then we consider tensor products of g-Bessel multipliers, ...
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The tilting tensor product theorem and decomposition numbers for symmetric groups
... A tilting module is a module which has both a good and a Weyl filtration. There exists a unique indecomposable tilting module T (λ) for each dominant weight λ. The key result we will require concerning tilting modules is ...
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Computing Some Topological Indices of Tensor Product of Graphs
... of tensor product of two graphs and then the Harary, Schultz and modified Schultz indices of tensor product of a graph G with complete graph of order n are ...
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STRENGTH OF TENSOR PRODUCT OF CERTAIN STRONG FUZZY GRAPHS
... having star graph as the underlying crisp graph on n vertices and keeping G 1 as it is then their tensor product G is a null fuzzy graph, if n = 1. It is a disjoint union of two fuzzy paths if n = 2 and if ...
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ANNIHILATOR DOMINATION NUMBER OF TENSOR PRODUCT OF PATH GRAPHS
... direct product graphs were analyzed by Klavˇ zar and Zmazek ...direct product of graphs ...necker product of ...of tensor product of path graphs and other ...
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Faster Image Encryption: A Semi Tensor Product Approach
... semi-tensor product (STP). The STP is a novel matrix product that works by extending the conventional matrix product in cases of unequal ...
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Attentive Tensor Product Learning
... Note that the focus of this paper is on developing a Tensor Product Representation (TPR) inspired network to replace the core layers in an LSTM; therefore, it is directly compara- ble to an LSTM baseline. ...
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The Gray tensor product via factorisation
... funny tensor product to the cartesian product, in which the first map is an isomorphism on underlying categories and the second map is locally full and ...Gray tensor product, but that ...
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Tensor Product of Hypervector Spaces
... M.S. Tallini introduced the notion of hyperspaces (or hypervector spaces) ([20], [21] and [22]) and studied basic properties of them. R. Ameri and O. R. Dehghan introduced and studied dimension of hyperspaces [2]. R. ...
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On Tensor Product of Graphs, Girth and Triangles
... the tensor product of two graphs [8] as follows: The tensor product of two graphs G 1 and G 2 is the graph, denoted by G 1 ⊕ G 2 , with vertex ...
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