Results 81 to 90 of about 7,281 (167)

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

open access: yesSpecial Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
doaj   +1 more source

Solving Fredholm Integral Equations of the First Kind Using a Gaussian Process Model Based on Sequential Design

open access: yesMathematics
In this study, a Gaussian process model is utilized to study the Fredholm integral equations of the first kind (FIEFKs). Based on the H–Hk formulation, two cases of FIEFKs are under consideration with respect to the right-hand term: discrete data and ...
Renjun Qiu, Juanjuan Xu, Ming Xu
doaj   +1 more source

CLSP: Linear Algebra Foundations of a Modular Two-Step Convex Optimization-Based Estimator for Ill-Posed Problems

open access: yesMathematics
This paper develops the linear-algebraic foundations of the Convex Least Squares Programming (CLSP) estimator and constructs its modular two-step convex optimization framework, capable of addressing ill-posed and underdetermined problems.
Ilya Bolotov
doaj   +1 more source

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