Results 1 to 10 of about 1,410 (98)
Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm [PDF]
Scientific ReportsMedical imaging systems such as computed tomography (CT) and magnetic resonance imaging (MRI) are vital tools in clinical diagnosis and treatment planning.
Mohit Sharma +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
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 +1 more source
Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices [PDF]
, 2014 We consider sample covariance matrices of the form $X^*X$, where $X$ is an $M \times N$ matrix with independent random entries. We prove the isotropic local Marchenko-Pastur law, i.e. we prove that the resolvent $(X^* X - z)^{-1}$ converges to a multiple
Bloemendal, Alex +4 more
core +3 more sources
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
A short proof of the Marchenko-Pastur theorem [PDF]
, 2015 We prove the Marchenko-Pastur theorem for random matrices with i.i.d. rows and a general dependence structure within the rows by a simple modification of the standard Cauchy-Stieltjes resolvent ...
Yaskov, Pavel
core +3 more sources
On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws [PDF]
, 2013 We consider a class of probability measures $\mu_{s,r}^{\alpha}$ which have explicit Cauchy-Stieltjes transforms. This class includes a symmetric beta distribution, a free Poisson law and some beta distributions as special cases.
Arizmendi, Octavio, Hasebe, Takahiro
core +2 more sources
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
doaj +1 more source
Performance analysis of low-flux least-squares single-pixel imaging [PDF]
, 2016 A single-pixel camera is able to computationally form spatially resolved images using one photodetector and a spatial light modulator. The images it produces in low-light-level operation are imperfect, even when the number of measurements exceeds the ...
Goyal, Vivek K. +2 more
core +1 more source
Random matrices, non-backtracking walks, and orthogonal polynomials
, 2007 Several well-known results from the random matrix theory, such as Wigner's law and the Marchenko--Pastur law, can be interpreted (and proved) in terms of non-backtracking walks on a certain graph.
Akhiezer N. I. +7 more
core +1 more source