Results 1 to 10 of about 49 (44)
Geophysical Research Letters, 2023 Recent estimates of the crustal thickness of Mars show a bimodal result of either ∼20 or ∼40 km beneath the InSight lander. We propose an approach based on random matrix theory applied to receiver functions (RFs) to further constrain the subsurface ...
Rakshit Joshi +6 more
doaj +2 more sources
Eigenvalue Based Detection by Combining Eigenvector-Correlated Signal in Low SNR Environment
IET Signal ProcessingEigenvalue detection is extensively utilized in numerous applications, including spectrum sensing in cognitive radio. However, the characteristics of the Tracy–Widom (TW2) distribution and its lack of accurate close-form expression limit the detection ...
Wei Ge +4 more
doaj +2 more sources
Local Laws for Sparse Sample Covariance Matrices
Mathematics, 2022 We proved the local Marchenko–Pastur law for sparse sample covariance matrices that corresponded to rectangular observation matrices of order n×m with n/m→y (where y>0) and sparse probability npn>logβn (where β>0).
Alexander N. Tikhomirov +1 more
doaj +1 more source
Freezing limits for Calogero–Moser–Sutherland particle models
Studies in Applied Mathematics, Volume 151, Issue 4, Page 1230-1281, November 2023., 2023 Abstract One‐dimensional interacting particle models of Calogero–Moser–Sutherland type with N particles can be regarded as diffusion processes on suitable subsets of RN$\mathbb {R}^N$ like Weyl chambers and alcoves with second‐order differential operators as generators of the transition semigroups, where these operators are singular on the boundaries ...
Michael Voit
wiley +1 more source
Detail-Preserving Image Denoising via Adaptive Clustering and Progressive PCA Thresholding
IEEE Access, 2018 This paper proposes a detail-preserving image denoising method via cluster-wise progressive principal component analysis (PCA) thresholding based on the Marchenko-Pastur (MP) law in random matrix theory.
Wenzhao Zhao +3 more
doaj +1 more source
Magnetic Resonance in Medicine, Volume 88, Issue 1, Page 365-379, July 2022., 2022 Purpose Relationships between diffusion‐weighted MRI signals and hepatocyte microstructure were investigated to inform liver diffusion MRI modeling, focusing on the following question: Can cell size and diffusivity be estimated at fixed diffusion time, realistic SNR, and negligible contribution from extracellular/extravascular water and exchange ...
Francesco Grussu +7 more
wiley +1 more source
Studies on the Marchenko–Pastur Law
MathematicsIn free probability, the theory of Cauchy–Stieltjes Kernel (CSK) families has recently been introduced. This theory is about a set of probability measures defined using the Cauchy kernel similarly to natural exponential families in classical probability ...
Ayed. R. A. Alanzi +3 more
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Notes on the Free Additive Convolution
AxiomsThe investigation of free additive convolution is a key concept in free probability theory, offering a framework for studying the sum of freely independent random variables.
Shokrya S. Alshqaq +2 more
doaj +1 more source
Stability of Cauchy–Stieltjes Kernel Families by Free and Boolean Convolutions Product
MathematicsLet F(νj)={Qmjνj,mj∈(m−νj,m+νj)}, j=1,2, be two Cauchy–Stieltjes Kernel (CSK) families induced by non-degenerate compactly supported probability measures ν1 and ν2. Introduce the set of measures F=F(ν1)⊞F(ν2)={Qm1ν1⊞Qm2ν2,m1∈(m−ν1,m+ν1)andm2∈(m−ν2,m+ν2)}.
Ayed. R. A. Alanzi +2 more
doaj +1 more source
Magnetic Resonance in Medicine, Volume 96, Issue 1, Page 403-419, July 2026.ABSTRACT Purpose To develop a denoising technique for displacement encoding with stimulated echoes (DENSE) MRI that improves spatial resolution, efficiency, and accuracy, and enhances accessibility by implementing DENSE MRI at 0.55 T. Methods We developed a low‐rank denoising technique, which leverages multidimensional spiral cine DENSE MRI data for ...
Shu‐Fu Shih +9 more
wiley +1 more source