Results 41 to 50 of about 1,548,165 (297)
On confidence intervals for precision matrices and the eigendecomposition of covariance matrices
CoRR, 2022 The eigendecomposition of a matrix is the central procedure in probabilistic models based on matrix factorization, for instance principal component analysis and topic models. Quantifying the uncertainty of such a decomposition based on a finite sample estimate is essential to reasoning under uncertainty when employing such models.
Teodora Popordanoska +3 more
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Weak Monotonicity of Interval Matrices [PDF]
, 2012 This article concerns weak monotonicity of interval matrices, with specific emphasis on its relationship with a certain class of proper ...
Sushama, Agarwal N. +4 more
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Strong $\mathbf {X}$-robustness of interval max-min matrices
, 2021 summary:In max-min algebra the standard pair of operations plus and times is replaced by the pair of operations maximum and minimum, respectively. A max-min matrix $A$ is called strongly robust if the orbit $x,A\otimes x, A^2\otimes x,\dots$ reaches the ...
Myšková, Helena, Plavka, Ján
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
On Quasilinear Algebra of Linear Interval Equations and Interval Cramer’s Rule
MathematicsDetermining the solution set of a system of linear interval equations is often a difficult task. Establishing a general theory that includes the classical theory of systems of linear equations as a special case opens the door to extensive and challenging
Yılmaz Yılmaz
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
An interval Kalman filter enhanced by lowering the covariance matrix upper bound
International Journal of Applied Mathematics and Computer Science, 2021 This paper proposes a variance upper bound based interval Kalman filter that enhances the interval Kalman filter based on the same principle proposed by Tran et al. (2017) for uncertain discrete time linear models.
Tran Tuan Anh +3 more
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Delay-dependent stabilization of stochastic interval delay systems with nonlinear disturbances [PDF]
, 2007 This is the post print version of the article. The official published version can be obtained from the link below - Copyright 2007 Elsevier Ltd.In this paper, a delay-dependent approach is developed to deal with the robust stabilization problem for a ...
Wang, Z, Shu, H, Fang, J, Wei, G
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Molecular Oncology, EarlyView.This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
wiley +1 more source
Intervals of P-matrices and related matrices
Linear Algebra and its Applications, 1984 First, necessary and sufficient conditions for an interval matrix are given to contain no other matrices but P-matrices, that is, matrices having only positive principal minors. Similar statements for some other classes of matrices are posed then. Second, applications of the derived assertions to some problems of analysis and optimization are given ...
Białas, S., Garloff, J.
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