Results 101 to 110 of about 622,326 (127)

Prognostic gene expression and microRNA profiling signatures and genetic alterations in primary testicular diffuse large B-cell lymphoma. [PDF]

Blood Cancer J
Shi W, Xu-Monette ZY, Jia Y, Tzankov A, Go H, Li L, Ponzoni M, Wang Y, Zhai Q, Perry AM, Wang S, Wang X, Chiu A, Xu ML, Visco C, Dybkaer K, Withers H, Long M, Yuan AF, Miao Y, Macias E, Wu D, Shuai W, Wang B, Li J, Bhagat G, Zu Y, Pan Z, Choi W, Montes-Moreno S, Chen W, Krieken JHV, Møller MB, Yu X, Parsons BM, Zhang S, Hsi ED, Sohani AR, Abramson JS, Ferreri AJM, Xu B, Li Y, Young KH.   +42 more
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Precise detection of cell-type-specific domains in spatial transcriptomics. [PDF]

Cell Rep Methods
Ruan Z, Zhou W, Liu H, Wei J, Pan Y, Yan C, Wei X, Xiang W, Yan C, Chen S, Liu J.   +10 more
europepmc   +1 more source

Determinantal inequalities and factorizations of totally nonnegative matrices.

, 2008
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Expansive data, extensive model: Investigating discussion topics around LLM through unsupervised machine learning in academic papers and news. [PDF]

PLoS One
Jung HS, Lee H, Woo YS, Baek SY, Kim JH.
europepmc   +1 more source

Jordan Structures of Totally Nonnegative Matrices

Canadian Journal of Mathematics, 2005
AbstractAn n × n matrix is said to be totally nonnegative if every minor of A is nonnegative. In this paper we completely characterize all possible Jordan canonical forms of irreducible totally nonnegative matrices. Our approach ismostly combinatorial and is based on the study of weighted planar diagrams associated with totally ...
Fallat, Shaun M., Gekhtman, Michael I.
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Spectral Structures of Irreducible Totally Nonnegative Matrices

SIAM Journal on Matrix Analysis and Applications, 2000
An \(n\times n\) matrix is called totally positive (TP) (totally nonnegative (TN)) if every minor of \(A\) is positive (nonnegative). The problem is to characterize all possible Jordan canonical forms (Jordan structures) of irreducible totally nonnegative matrices.
Shaun M Fallat
exaly   +2 more sources

An Improvement of Hadamard’s Inequality for Totally Nonnegative Matrices

SIAM Journal on Matrix Analysis and Applications, 1993
The authors prove the following generalization of Hadamard's theorem. Let \(A=(a_{ij})\) be an \(n\times n\) totally nonnegative matrix such that the product of the main diagonal elements is nonzero. Then \[ \text{det} A\leq\min\left\{\prod^ n_{i=1}a_{ii}-\max_{i\neq\sigma\in S_ n}\left(\prod^ n_{i=1}a_{i\sigma(i)}a_{\sigma(i)i}\right),\;\min a_{kk ...
Zhang Xiaodong, Shangjun Yang
exaly   +2 more sources

Bidiagonal Factorizations of Totally Nonnegative Matrices

American Mathematical Monthly, 2001
(2001). Bidiagonal Factorizations of Totally Nonnegative Matrices. The American Mathematical Monthly: Vol. 108, No. 8, pp. 697-712.
Shaun M Fallat
exaly   +3 more sources

Totally Nonnegative Matrices

, 1999
An m-by-n matrix A is called totally nonnegative (resp. totally positive) if the determinant of every square submatrix (i.e., minor) of A is nonnegative (resp. positive).
Fallat, Shaun M.
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