Operator-like wavelets with application to functional magnetic resonance imaging

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We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-dimensional domains with multiple finite-length open arcs. After recasting th ...

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Operator-like wavelets with application to functional magnetic resonance imaging

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Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks

Anomalous dissipation and other non-smooth phenomena in fluids

From low-rank retractions to dynamical low-rank approximation and back

SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Probabilistic and Deterministic Wellposedness for Low Regularity Dispersive Equations

Functional-Basis Analysis of Non-Stationary Signals in Modern Power Grids: Theory and Implementation in Embedded Systems

Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise

Heteroclinic orbits for a system of amplitude equations for orthogonal domain walls

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds

The Sparsity of Cycle Spinning for Wavelet-Based Solutions of Linear Inverse Problems

Nonparametric estimation for SDE with sparsely sampled paths: An FDA perspective

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems

Hamiltonian Deep Neural Networks Guaranteeing Non-Vanishing Gradients by Design

Extractable Witness Encryption for the Homogeneous Linear Equations Problem

Low-Rank Tensor Methods for High-Dimensional Problems

Dynamical Low-Rank Approximation for Stochastic Differential Equations