Results 51 to 60 of about 229,197 (336)
T product Tensors Part II: Tail Bounds for Sums of Random T product Tensors [PDF]
arXiv, 2021 This paper is the Part II of a serious work about T product tensors focusing at establishing new probability bounds for sums of random, independent, T product tensors. These probability bounds characterize large deviation behavior of the extreme eigenvalue of the sums of random T product tensors.
arxiv
Tensor products and statistics
Linear Algebra and its Applications, 1994 AbstractA dictionary between operator-based and matrix-based languages in multivariate statistical analysis is proposed. Then this formulary is applied to asymptotic factorial analyses, especially for giving asymptotic covariance matrices and operators in an explicit form.
Sylvie Viguier-Pla +2 more
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Understanding and measuring mechanical signals in the tumor stroma
FEBS Open Bio, EarlyView.This review discusses cancer‐associated fibroblast subtypes and their functions, particularly in relation to extracellular matrix production, as well as the development of 3D models to study tumor stroma mechanics in vitro. Several quantitative techniques to measure tissue mechanical properties are also described, to emphasize the diagnostic and ...
Fàtima de la Jara Ortiz +3 more
wiley +1 more source
Robust Set Stability for Switched Boolean Networks Under One-Bit Function Perturbation
IEEE AccessThis paper investigates robust set stability for the switched Boolean networks (SBNs) with arbitrary switching signal affected by one-bit function perturbation (OBFP).
Lei Deng, Jinsuo Wang, Fengxia Zhang
doaj +1 more source
Real Color Image Denoising Using t-Product- Based Weighted Tensor Nuclear Norm Minimization
IEEE Access, 2019 Color images can be seen as third-order tensors with column, row and color modes. Considering two inherent characteristics of a color image including the non-local self-similarity (NSS) and the cross-channel correlation, we extract non-local similar ...
Min Liu, Xinggan Zhang, Lan Tang
doaj +1 more source
Semi-tensor Product-based TensorDecomposition for Neural Network Compression [PDF]
arXiv, 2021 The existing tensor networks adopt conventional matrix product for connection. The classical matrix product requires strict dimensionality consistency between factors, which can result in redundancy in data representation. In this paper, the semi-tensor product is used to generalize classical matrix product-based mode product to semi-tensor mode ...
arxiv
Operator synthesis and tensor products [PDF]
Transactions of the American Mathematical Society, 2015 We show that Kraus’ property S σ S_{\sigma } is preserved under taking weak* closed sums with masa-bimodules of finite width and establish an intersection formula for weak* closed spans of tensor products, one of whose terms is a masa-bimodule of finite width.
Eleftherakis, G. K., Todorov, I. G.
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FEBS Open Bio, EarlyView.The tumor microenvironment is a dynamic, multifaceted complex system of interdependent cellular, biochemical, and biophysical components. Three‐dimensional in vitro models of the tumor microenvironment enable a better understanding of these interactions and their impact on cancer progression and therapeutic resistance.
Salma T. Rafik +3 more
wiley +1 more source
Tensor Products and Computability
Journal of Symbolic Computation, 1994 AbstractWe consider the problem of computability in tensor products of modules over a ring. We exhibit a finite local ring A and a pair of A-modules, given explicitly by generators and relations, with the following property. The operations in each module are computable in polynomial time, but equality in their tensor product is undecideable.
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The Tensor Product of Semigroups [PDF]
Transactions of the American Mathematical Society, 1969 The tensor product of semigroups is defined like the tensor product of modules, by means of multilinear mappings. Surprisingly enough, it has most of the important properties of its homological cousin, together with some others of its own, so that, in view of such results as [4], it is not unreasonable to hope that it will become a very helpful tool ...
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