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Totally Positive Wronskian Matrices and Symmetric Functions [PDF]
AxiomsThe elements of the bidiagonal decomposition (BD) of a totally positive (TP) collocation matrix can be expressed in terms of symmetric functions of the nodes. Making use of this result, and studying the relation between Wronskian and collocation matrices
Pablo Díaz +2 more
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Gaussian Markov Random Fields and totally positive matrices [PDF]
, 2023 The present paper focuses on the study of the conditions under which the covariance matrix of a multivariate Gaussian distribution is totally positive, paying particular attention to multivariate Gaussian distributions that are Gaussian Markov Random ...
Juan Baz +7 more
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Total positivity of a shuffle matrix [PDF]
Involve, a Journal of Mathematics, 2012 Holte introduced a [math] matrix [math] as a transition matrix related to the carries obtained when summing [math] numbers base [math] . Since then Diaconis and Fulman have further studied this matrix proving it to also be a transition matrix related to the process of [math] -riffle shuffling [math] cards.
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EXCLI Journal : Experimental and Clinical Sciences, 2022 Cell-based therapy and tissue engineering are promising substitutes for liver transplantation to cure end-stage liver disorders. However, the limited sources for healthy and functional cells and poor engraftment rate are main challenges to the cell-based
Mostafa Najar-Asl +9 more
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Total positivity and spectral theory for Toeplitz Hessenberg matrix ensembles
, 2023 In this paper we define and lay the groundwork for studying a novel matrix ensemble: totally positive Hessenberg Toeplitz operators, denoted TPHT. This is the intersection of two ensembles that have been significantly explored: totally positive Hessenberg matrices (TPH) and Hessenberg Toeplitz matrices (HT).
Ercolani, Nicholas +2 more
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Fast Projected Newton-like Method for Precision Matrix Estimation under Total Positivity
Advances in Neural Information Processing Systems 36, 2023 We study the problem of estimating precision matrices in Gaussian distributions that are multivariate totally positive of order two ($\mathrm{MTP}_2$). The precision matrix in such a distribution is an M-matrix. This problem can be formulated as a sign-constrained log-determinant program.
Jianfeng Cai 0001 +3 more
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Hereditas, 2022 Background Diabetic nephropathy (DN) is the major cause of end-stage renal disease worldwide. The mechanism of tubulointerstitial lesions in DN is not fully elucidated.
Haiyan Cao +4 more
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The Inverse of a Totally Positive Bi-Infinite Band Matrix [PDF]
Transactions of the American Mathematical Society, 1982 It is shown that a bounded bi-infinite banded totally positive matrix A is boundedly invertible iff there is one and only one bounded sequence mapped by A to the sequence ((-)')■ The argument shows that such a matrix has a main diagonal, i.e., the inverse of A is the bounded pointwise limit of inverses of finite sections of A principal with respect to ...
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Entropy, 2019 In this paper, we prove the Shannon entropy inequalities for the multivariate distributions via the notion of convex ordering of two multivariate distributions.
Ming-Tien Tsai +2 more
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Journal of the Canadian Health Libraries Association, 2014 Introduction – The study of informatics is multidisciplinary in nature. The informatics course, HSC 310: Health Care Informatics (HSC 310), for undergraduate health sciences students at the Massachusetts College of Pharmacy and Health Sciences (MCPHS) is
S. King, H. Murray, K. MacDonald
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