Research reports

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Nr.	PDF	Authors and Title
2023-45	PDFfile_download	A. Schell and R. Alaifari Nonparametric Regression of Stochastic Processes via Signatures Revised 1: May 2024
2023-44	PDFfile_download	S. Bhattacharya and K. Krupchyk and S. Sahoo and G. Uhlmann INVERSE PROBLEMS FOR THIRD-ORDER NONLINEAR PERTURBATIONS OF BIHARMONIC OPERATORS
2023-43	PDFfile_download	M. Ifrim and B. Pineau and D. Tataru and M. Taylor Sharp Hadamard local well-posedness, enhanced uniqueness and pointwise continuation criterion for the incompressible free boundary Euler equations
2023-42	PDFfile_download	B. Pineau and M. Taylor Low regularity solutions for the general quasilinear ultrahyperbolic Schrödinger equation
2023-41	PDFfile_download	D. Agrawal and R. Jaisawal and S. Sahoo Linearized partial data Calderón problem for Biharmonic operators
2023-40	PDFfile_download	M. Averseng and X. Claeys and R. Hiptmair Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: A Two-Level Substructuring Preconditioner
2023-39	PDFfile_download	H. Ammari and S. Barandun and J. Cao and B. Davies and E.O. Hiltunen and P. Liu The non-Hermitian skin effect with three-dimensional long-range coupling
2023-38	PDFfile_download	J. A. A. Opschoor and Ch. Schwab Deep ReLU networks and high-order finite element methods II: Chebyshev emulation Revised 1: June 2024
2023-37	PDFfile_download	T. De Ryck and F. Bonnet and S. Mishra and E. de Bézenac An operator preconditioning perspective on training in physics-informed machine learning
2023-36	PDFfile_download	H. Harbrecht and M. Schmidlin and Ch. Schwab The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs Revised 1: October 2023
2023-35	PDFfile_download	I. Labarca and R. Hiptmair Coupled Surface and Volume Integral Equations for Electromagnetism
2023-34	PDFfile_download	H. Ammari and S. Barandun and B. Davies and E.O. Hiltunen and P. Liu Stability of the non-Hermitian skin effect
2023-33	PDFfile_download	A. Haji-Ali and A. Stein An Antithetic Multilevel Monte Carlo-Milstein Scheme for Stochastic Partial Differential Equations
2023-32	PDFfile_download	H. Ammari and S. Barandun and P. Liu Perturbed Block Toeplitz matrices and the non-Hermitian skin effect in dimer systems of subwavelength resonators
2023-31	PDFfile_download	M. Faustmann and C. Marcati and J. Melenk and Ch. Schwab Weighted analytic regularity for the integral fractional Laplacian in polyhedra
2023-30	PDFfile_download	Ch. Schwab and A. Stein and J. Zech Deep Operator Network Approximation Rates for Lipschitz Operators
2023-29	PDFfile_download	H. Ammari and S. Barandun and J. Cao and B. Davies and E.O. Hiltunen Mathematical foundations of the non-Hermitian skin effect
2023-28	PDFfile_download	K. Alexopoulos and B. Davies The effect of singularities and damping on the spectra of photonic crystals
2023-27	PDFfile_download	F. Di Giovanni and K. Rusch and M. Bronstein and A. Deac and M. Lackenby and S. Mishra and P. Velickovic How does over-squashing affect the power of GNNs ?
2023-26	PDFfile_download	V. Dolean and A. Heinlein and S. Mishra and B. Moseley Multilevel domain decomposition-based architectures for physics-informed neural networks.
2023-25	PDFfile_download	B. Raonic and R. Molinaro and T. De Ryck and T. Rohner and F. Bartolucci and R. Alaifari and S. Mishra and E. De Bezenac Convolutional Neural Operators for robust and accurate learning of PDEs
2023-24	PDFfile_download	L. Lingsch and M. Michelis and S. Perera and R. Katzschmann and S. Mishra Vandermonde Neural Operators
2023-23	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen Spectral convergence in large finite resonator arrays: the essential spectrum and band structure
2023-22	PDFfile_download	H. Ammari and E.O. Hiltunen and T. Kosche Design of defected non-hermitian chains of resonator dimers for spatial and spatio-temporal localizations
2023-21	PDFfile_download	F. Bartolucci and E. de Bézenac and B. Raonic and R. Molinaro and S. Mishra and R. Alaifari Are Neural Operators Really Neural Operators? Frame Theory Meets Operator Learning Revised 1: June 2023
2023-20	PDFfile_download	S. Lanthaler and T. K. Rusch and S. Mishra Neural Oscillators are Universal
2023-19	PDFfile_download	F. Florian and R. Hiptmair and S. Sauter Skeleton Integral Equations for Acoustic TransmissionProblems with Varying Coefficients Revised 1: March 2024
2023-18	PDFfile_download	M. Petrella and R. Abgrall and S. Mishra A Monte-Carlo ab-initio algorithm for the multiscale simulation of compressible multiphase flows
2023-17	PDFfile_download	T. K. Rusch and M. M. Bronstein and S. Mishra A Survey on Oversmoothing in Graph Neural Networks
2023-16	PDFfile_download	R. Alaifari and F. Bartolucci and M. Wellershoff Unique wavelet sign retrieval from samples without bandlimiting Revised 1: February 2023
2023-15	PDFfile_download	T. Yu and R. Fuchs and R. Hiptmair Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models Revised 1: March 2024
2023-14	PDFfile_download	L. Equer and T. K. Rusch and S. Mishra Multi-Scale Message Passing Neural PDE Solvers
2023-13	PDFfile_download	H. Ammari and B. Li and H. Li and J. Zou Fano resonances in all-dielectric electromagnetic metasurfaces
2023-12	PDFfile_download	P. Liu and H. Ammari An Operator Theory for Analyzing the Resolution of Multi-illumination Imaging Modalities
2023-11	PDFfile_download	B. Raonic and R. Molinaro and T. Rohner and S. Mishra and E. de Bézenac Convolutional Neural Operators
2023-10	PDFfile_download	R. Molinaro and Y. Yang and B. Engquist and S. Mishra Neural Inverse Operators for Solving PDE Inverse Problems Revised 1: June 2023 Revised 2: February 2024
2023-09	PDFfile_download	H. Ammari and J. Cao and L. Rueff Transmission properties of time-dependent one-dimensional metamaterials Revised 1: May 2023
2023-08	PDFfile_download	H. Ammari and S. Barandun and J. Cao and F. Feppon Edge modes in subwavelength resonators in one dimension
2023-07	PDFfile_download	W. Tonnon and R. Hiptmair Semi-Lagrangian Finite-Element Exterior Calculus for Incompressible Flows Revised 1: February 2024
2023-06	PDFfile_download	A. Stein and V.H. Hoang Multi-Level Markov Chain Monte Carlo for Bayesian Elliptic Inverse Problems with Besov Random Tree Priors
2023-05	PDFfile_download	H. Ammari and B. Davies and E.O. Hiltunen Spectral convergence of defect modes in large finite resonator arrays
2023-04	PDFfile_download	M. Longo and Ch. Schwab and A. Stein A-posteriori QMC-FEM error estimation for Bayesian inversion and optimal control with entropic risk measure Revised 1: July 2023
2023-03	PDFfile_download	P. Liu and H. Ammari Super-resolution of positive near-colliding point sources
2023-02	PDFfile_download	P. Liu and Y. He and H. Ammari A mathematical theory of resolution limits for super-resolution of positive sources
2023-01	PDFfile_download	P. Liu and H. Ammari A mathematical theory of super-resolution and diffraction limit

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