Results 81 to 90 of about 537,689 (239)
Asymptotics of the graph laplacian near an isolated singularity
Applied Mathematics in Science and EngineeringWe investigate the asymptotics of the graph Laplacian on a Riemannian manifold that admits an isolated singularity [Formula: see text]. This operator, and its variants underlie kernel methods, manifold learning, and spectral constructions based on ...
Susovan Pal
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Hyperspectral image spectral-spatial classification via weighted Laplacian smoothing constraint-based sparse representation. [PDF]
PLoS One, 2021 Chen E +6 more
europepmc +1 more source
Journal of Medical Radiation Sciences, Volume 72, Issue 1, Page 93-105, March 2025.This study developed a two‐stage model using radiomics‐based multiparametric MRI and clinical indicators to help identify and grade clinically significant prostate cancer. The model showed promising levels of diagnostic accuracy and predictive performance.
Yuyan Zou +10 more
wiley +1 more source
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
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Pohozaev-type inequalities and their applications for elliptic equations
Boundary Value Problems, 2017 In this paper we derive the Pohozaev-type inequalities for p-Laplacian equations and weighted quasi-linear equations and then prove some non-existence results for the positive solutions of these equations in a class of domains that are more general than ...
Bingyu Kou, Tianqing An
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Weak Comparison Principle for Weighted Fractional p-Laplacian Equation
Journal of Function Spaces, 2020 The aim of this paper is to establish a weak comparison principle for a class fractional p-Laplacian equation with weight. The nonlinear term fx,s>0 is a Carathéodory function which is possibly unbounded both at the origin and at infinity and such that ...
Jin Xie
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Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
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Supervised Protein Structure Classification Using Topological Persistence With DeltaFold
Proteins: Structure, Function, and Bioinformatics, EarlyView.ABSTRACT Recent advances in protein structure prediction have considerably increased the number of available structures, underscoring the need for scalable and accurate methods to compare and classify this huge amount of data. Current approaches based on sequence alignment or structural superposition often lack sensitivity and/or are computationally ...
Joseph Nardin‐Gennequin +3 more
wiley +1 more source
Interlacing for weighted graphs using the normalized Laplacian
, 2007 The problem of relating the eigenvalues of the normalized Laplacian for a weightedgraph G and G − H, for H a subgraph of G is considered. It is shown that these eigenvaluesinterlace and that the tightness of the interlacing is dependent on the number of ...
Butler, Steve
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source