Results 31 to 40 of about 5,585,535 (119)
, 2020 Akemann G, Byun S-S, Kang N-G. A non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticality. Annales Henri Poincaré .
Kang, Nam-Gyu +2 more
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Improved liver fat and R2* quantification at 0.55 T using locally low‐rank denoising
Magnetic Resonance in Medicine, Volume 93, Issue 3, Page 1348-1364, March 2025.Abstract Purpose To improve liver proton density fat fraction (PDFF) and R2*$$ {R}_2^{\ast } $$ quantification at 0.55 T by systematically validating the acquisition parameter choices and investigating the performance of locally low‐rank denoising methods.
Shu‐Fu Shih +7 more
wiley +1 more source
Nonlinear shrinkage test on a large‐dimensional covariance matrix
Statistica Neerlandica, Volume 79, Issue 1, February 2025.This paper is concerned with deriving a new test on a covariance matrix which is based on its nonlinear shrinkage estimator. The distribution of the test statistic is deduced under the null hypothesis in the large‐dimensional setting, that is, when p/n→c∈(0,+∞) with p variables and n samples both tending to infinity.
Taras Bodnar +2 more
wiley +1 more source
Advanced Engineering Materials, Volume 27, Issue 2, January 2025.Uncertainty quantification (UQ) of aerospace microstructures: state‐of‐the‐art studies on UQ of microstructures in aerospace materials are examined. The forward problem of uncertainty propagation in process–structure and structure–property relationships is investigated. Additionally, the inverse UQ problem, referred to as “design under uncertainty,” is
Md Maruf Billah +7 more
wiley +1 more source
Tensor denoising of quantitative multi‐parameter mapping
Magnetic Resonance in Medicine, Volume 92, Issue 1, Page 145-157, July 2024.Abstract Purpose Quantitative multi‐parameter mapping (MPM) provides maps of physical quantities representing physiologically meaningful tissue characteristics, which allows to investigate microstructure‐function relationships reflecting normal or pathologic processes in the brain.
Helge Herthum, Stefan Hetzer
wiley +1 more source
Local Marchenko-Pastur law at the hard edge of sample covariance matrices
, 2012 Let XN be a N × N matrix whose entries are independent identically distributed complex random variables with mean zero and variance 1/N. We study the asymptotic spectral distribution of the eigenvalues of the covariance matrix Xz.ast;NXN for N → ∞.
Benjamin Schlein +5 more
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A Study of the Early Cosmic Dynamics in a Multifield Model of Inflation and Curvature Perturbations
Advances in Astronomy, Volume 2024, Issue 1, 2024.In this work, we study the cosmological dynamics of the early universe by employing a small field potential in the context of multifield inflation. By investigating analytically the cosmological observables, such as the number of e‐folds N, potential slow‐roll parameters ϵV, ηV, and spectral index ns which carry significant information, we show that ...
Muhammad Zahid Mughal +4 more
wiley +1 more source
A constant regression characterization of the Marchenko– Pastur law
, 2016 In this paper, Lukacs type characterization of Marchenko–Pastur distribution in free probability is studied. We prove that for free X and Y, if conditional moments of order 1 and −1 ofX + Y−1/2XX + Y−1/2 given X + Y are constant,
Szpojankowski, Kamil
core
On the Marchenko-Pastur law in analog bipartite spin-glasses
, 2019 In recent decades, statistical mechanics of disordered systems (mainly spin-glasses) has become one of the main tools to investigate complex systems, probably due to the celebrated Replica Symmetry Breaking scheme of Parisi Theory and its deep ...
Fachechi A. +3 more
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Black Holes and Marchenko-Pastur Distribution [PDF]
The universal eigenvalue distribution characterizing the Gram matrix of semiclassical ensembles of black hole microstates is recognized as the Marchenko-Pastur distribution, which plays a prominent role as the universal limit distribution in a large ...
Mück, Wolfgang
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