The totally nonnegative completion problem
, 1998 An n-by-n real matrix is said to be totally positive (nonnegative) if every minor (principal and non-principal) is positive (nonnegative). The totally nonnegative completion problem asks which partially totally nonnegative matrices have a completion to a
Johnson, Charles R +5 more
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Tropical totally positive matrices
, 2018 arXiv:1606.00238International audienceWe investigate the tropical analogues of totally positive and totally nonnegative matrices. These arise when considering the images by the nonarchimedean valuation of the corresponding classes of matrices over a real
Niv, Adi, Gaubert, Stéphane
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Using underapproximations for sparse nonnegative matrix factorization [PDF]
Nonnegative Matrix Factorization (NMF) has gathered a lot of attention in the last decade and has been successfully applied in numerous applications.
GILLIS, Nicolas, GLINEUR, François
core
Total Nonnegativity of Infinite Hurwitz Matrices of Entire and Meromorphic Functions [PDF]
Complex Analysis and Operator Theory, 2013 In this paper we fully describe functions generating the infinite totally nonnegative Hurwitz matrices. In particular, we generalize the well-known result by Asner and Kemperman on the total nonnegativity of the Hurwitz matrices of real stable polynomials.
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Global and Local Similarity Learning in Multi-Kernel Space for Nonnegative Matrix Factorization. [PDF]
Knowl Based Syst, 2023 Peng C +5 more
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Degree-corrected distribution-free model for community detection in weighted networks. [PDF]
Sci Rep, 2022 Qing H.
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Inequalities for totally nonnegative matrices: Gantmacher–Krein, Karlin, and Laplace
Linear Algebra and its ApplicationsA real linear combination of products of minors which is nonnegative over all totally nonnegative (TN) matrices is called a determinantal inequality for these matrices. It is referred to as multiplicative when it compares two collections of products of minors and additive otherwise. Set theoretic operations preserving the class of TN matrices naturally
Shaun M. Fallat +1 more
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Nonnegative matrices whose inverses are M-matrices [PDF]
, 1972 A characterization of a class of totally nonnegative matrices whose inverses are M-matrices is given. It is then shown that if A is nonnegative of order n and A^-1 is an M-matrix, then the almost principal minors of A of all orders are ...
Markham, Thomas L
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Shared and Unshared Feature Extraction in Major Depression During Music Listening Using Constrained Tensor Factorization. [PDF]
Front Hum Neurosci, 2021 Wang X +8 more
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Nonnegative factorization and the maximum edge biclique problem [PDF]
Nonnegative matrix factorization (NMF) is a data analysis technique based on the approximation of a nonnegative matrix with a product of two nonnegative factors, which allows compression and interpretation of nonnegative data. In this paper, we study the
GILLIS, Nicolas, GLINEUR, François
core