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Statistical properties of the Hadamard product of random vectors
Statistical Papers, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Neudecker, H, Liu, Shuangzhe
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On the span of Hadamard products of vectors
Linear Algebra and its Applications, 2007 The Hadamard product \([a_{ij}]\circ\) \([b_{ij}]\)of two \(m\times n\) matrices is the entrywise product \([a_{ij}b_{ij}].\) Let \(A_{1},\dots,A_{k}\) be positive semidefinite \(n\times n\) matrices and let \(R\) be the range of \(A_{1} \circ\dots\circ A_{k}\). The authors prove that \(R\) is spanned by the set \(\{A_{1}x_{1}\circ\dots\circ A_{k}x_{k}~
Qiu, Li, Zhan, Xingzhi
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Applied Sciences, 2018 Compressive sensing is a very attractive technique to detect weak signals in a noisy background, and to overcome limitations from traditional Nyquist sampling.
Tongjing Sun +4 more
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IEEE Access, 2017 We consider the challenging problem of joint angle estimation and signal reconstruction for coherently distributed (CD) sources in massive multiple-input-multiple-output (MIMO) systems employing uniform rectangular arrays. A simplified method inspired by
Yuan Zhou +5 more
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Hadamard Product Arguments and Their Applications [PDF]
IEEE AccessThe Hadamard product (also known as element-wise multiplication) is a fundamental operation in linear algebra, performed by multiplying corresponding elements of two matrices with the same dimensions. This operation plays a crucial role in various fields,
Kyeongtae Lee +4 more
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Hadamard products and moments of random vectors [PDF]
Advances in Mathematics, 2020 We derive new comparison inequalities between weak and strong moments of norms of random vectors with optimal (up to an universal factor) constants. We discuss applications to the concentration of log-concave random vectors and bounds on $p$-summing norms of finite rank operators.
Nayar, Piotr, Latała, Rafał
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MATRIX-VECTOR ALGORITHMS OF LOCAL POSTERIORI INFERENCE IN ALGEBRAIC BAYESIAN NETWORKS ON QUANTA PROPOSITIONS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2015 Posteriori inference is one of the three kinds of probabilistic-logic inferences in the probabilistic graphical models theory and the base for processing of knowledge patterns with probabilistic uncertainty using Bayesian networks. The paper deals with a
A. A. Zolotin +2 more
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Multipliers and Hadamard products in the vector-valued setting [PDF]
Banach Journal of Mathematical Analysis, 2016 A couple of new and in a sense dual structures -- a product space and a space of multipliers -- is introduced. Given a bounded bilinear map \(B:E_1 \times E_2 \to E_3\), the space of \(B\)-multipliers \((X_{E_2},X_{E_3})_B\) between \(X_{E_2}\) and \(X_{E_3}\) is defined and studied.
Blasco, Óscar, Zaragoza-Berzosa, Carme
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Hadamard Products of Projective Varieties with Errors and Erasures
AppliedMathIn Algebraic Statistics, M.A. Cueto, J. Morton and B. Sturmfels introduced a statistical model, the Restricted Boltzmann Machine, which introduced the Hadamard product of two or more vectors of an affine or projective space, i.e., the componentwise ...
Edoardo Ballico
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A note on the span of Hadamard products of vectors
Linear Algebra and its Applications, 2009 2 ...
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