
Novel Deep neural networks for solving Bayesian statistical inverse
We consider the simulation of Bayesian statistical inverse problems gove...
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A Note on Multigrid Preconditioning for Fractional PDEConstrained Optimization Problems
In this note we present a multigrid preconditioning method for solving q...
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Approximation of Integral Fractional Laplacian and Fractional PDEs via sincBasis
Fueled by many applications in random processes, imaging science, geophy...
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Detailed Simulation of Viral Propagation In The Built Environment
A summary is given of the mechanical characteristics of virus contaminan...
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MoreauYosida regularization for optimal control of fractional PDEs with state constraints: parabolic case
This paper considers optimal control of fractional parabolic PDEs with b...
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Fractional Deep Neural Network via Constrained Optimization
This paper introduces a novel algorithmic framework for a deep neural ne...
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MoreauYosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints
Recently the authors have studied a state and control constrained optima...
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Revisiting Calderon's Problem
A finite element code for heat conduction, together with an adjoint solv...
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Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs
Given only a collection of points sampled from a Riemannian manifold emb...
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Controllability properties from the exterior under positivity constraints for a 1D fractional heat equation
We study the controllability to trajectories, under positivity constrain...
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Convergence of solutions of discrete semilinear spacetime fractional evolution equations
Let (Δ)_c^s be the realization of the fractional Laplace operator on th...
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Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography
In this work we consider a generalized bilevel optimization framework fo...
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Adaptive particlebased approximations of the Gibbs posterior for inverse problems
In this work, we adopt a general framework based on the Gibbs posterior ...
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Fractional Operators Applied to Geophysical Electromagnetics
A growing body of applied mathematics literature in recent years has foc...
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A Note on QRBased Model Reduction: Algorithm, Software, and Gravitational Wave Applications
While the proper orthogonal decomposition (POD) is optimal under certain...
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Harbir Antil
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