Results 41 to 50 of about 8,171,715 (369)
Optimality and Sub-optimality of PCA I: Spiked Random Matrix Models [PDF]
Annals of Statistics, 2018 A central problem of random matrix theory is to understand the eigenvalues of spiked random matrix models, introduced by Johnstone, in which a prominent eigenvector (or "spike") is planted into a random matrix.
Amelia Perry +3 more
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Some inferences on the distribution of the Demmel condition number of complex Wishart matrices
Special Matrices, 2017 In recent years, many researchers have studied the distributions of the Demmel (or the scaled) condition numbers (DCN) of complex Wishart matrices. In this paper, several new distributional properties of the distribution of the Demmel condition number of
Shakil M., Ahsanullah M.
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Randomized nonnegative matrix factorization [PDF]
Pattern Recognition Letters, 2018 This is an extended and revised version of the paper which appeared in ...
N. Benjamin Erichson +3 more
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Matrix measures and random walks [PDF]
Research Papers in Economics, 2005 In this paper we study the connection between matrix measures and random walks with a tridiagonal block transition matrix. We derive sufficient conditions such that the blocks of the n-step transition matrix of the Markov chain can be represented as integrals with respect to a matrix valued spectral measure.
Studden, W. J. +3 more
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New Multicritical Random Matrix Ensembles [PDF]
, 2002 In this paper we construct a class of random matrix ensembles labelled by a real parameter $\alpha \in (0,1)$, whose eigenvalue density near zero behaves like $|x|^\alpha$.
Akemann +22 more
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Recursive Noise Adaptive Extended Object Tracking by Variational Bayesian Approximation
IEEE Access, 2019 This paper proposes an adaptive extended object tracking algorithm with unknown time-varying sensor error covariance in linear state-space models. The proposed algorithm employs Inverse Wishart distribution to describe the full covariance.
Zhifei Li +3 more
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On the Fidelity Robustness of CHSH–Bell Inequality via Filtered Random States
Entropy, 2023 The theorem developed by John Bell constituted the starting point of a revolution that translated a philosophical question about the nature of reality into the broad and intense field of research of the quantum information technologies.
Antonio Mandarino, Giovanni Scala
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Random matrix theory within superstatistics [PDF]
, 2005 We propose a generalization of the random matrix theory following the basic prescription of the recently suggested concept of superstatistics. Spectral characteristics of systems with mixed regular-chaotic dynamics are expressed as weighted averages of ...
A. M. Mathai +8 more
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Matrix models for random partitions [PDF]
Nuclear Physics B, 2011 We derive exact matrix integral representations for different sums over partitions. The characteristic feature of all obtained matrix models is the presence of logarithmic (or, vice versa, exponential) terms in the potential. Our derivation is based on the application of the higher Casimir operators.
Alexander Alexandrov +1 more
openaire +3 more sources
Noninteracting fermions in a trap and random matrix theory [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 We review recent advances in the theory of trapped fermions using techniques borrowed from random matrix theory (RMT) and, more generally, from the theory of determinantal point processes.
D. Dean +3 more
semanticscholar +1 more source