| Publication | Date of Publication | Type |
|---|
| Sparse Recovery of Elliptic Solvers from Matrix-Vector Products | 2024-03-19 | Paper |
| Kernel methods are competitive for operator learning | 2024-02-21 | Paper |
| Learning dynamical systems from data: a simple cross-validation perspective. IV: Case with partial observations | 2023-09-12 | Paper |
| Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs | 2023-05-08 | Paper |
| A note on microlocal kernel design for some slow-fast stochastic differential equations with critical transitions and application to EEG signals | 2023-04-27 | Paper |
| One-shot learning of stochastic differential equations with data adapted kernels | 2023-01-17 | Paper |
| Do ideas have shape? Idea registration as the continuous limit of artificial neural networks | 2023-01-17 | Paper |
| Learning dynamical systems from data: a simple cross-validation perspective. III: Irregularly-sampled time series | 2023-01-06 | Paper |
| Uncertainty quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball | 2022-10-21 | Paper |
| Computational graph completion | 2022-06-03 | Paper |
| Solving and learning nonlinear PDEs with Gaussian processes | 2022-04-29 | Paper |
| Deep regularization and direct training of the inner layers of neural networks with kernel flows | 2022-02-21 | Paper |
| Learning dynamical systems from data: a simple cross-validation perspective. I: Parametric kernel flows | 2022-02-21 | Paper |
| Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series | 2021-11-25 | Paper |
| Aggregation of Models, Choices, Beliefs, and Preferences | 2021-11-22 | Paper |
| Kernel Mode Decomposition and the Programming of Kernels | 2021-09-09 | Paper |
| Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation | 2021-09-02 | Paper |
| Sparse Cholesky Factorization by Kullback--Leibler Minimization | 2021-06-29 | Paper |
| Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity | 2021-06-08 | Paper |
| Solving and Learning Nonlinear PDEs with Gaussian Processes | 2021-03-23 | Paper |
| Multiresolution operator decomposition for flow simulation in fractured porous media | 2021-01-26 | Paper |
| Operator-adapted wavelets for finite-element differential forms | 2021-01-25 | Paper |
| Kernel flows: from learning kernels from data into the abyss | 2021-01-15 | Paper |
| Learning dynamical systems from data: a simple cross-validation perspective | 2020-07-09 | Paper |
| Sparse Cholesky factorization by Kullback-Leibler minimization | 2020-04-29 | Paper |
| De-noising by thresholding operator adapted wavelets | 2020-02-26 | Paper |
| Statistical Numerical Approximation | 2019-12-20 | Paper |
| Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction | 2019-11-08 | Paper |
| Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization | 2018-11-01 | Paper |
| Qualitative Robustness in Bayesian Inference | 2018-08-07 | Paper |
| Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients | 2018-02-06 | Paper |
| Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity | 2017-06-07 | Paper |
| Universal Scalable Robust Solvers from Computational Information Games and fast eigenspace adapted Multiresolution Analysis | 2017-03-31 | Paper |
| Separability of reproducing kernel spaces | 2017-02-22 | Paper |
| Extreme points of a ball about a measure with finite support | 2017-02-17 | Paper |
| Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games | 2017-02-09 | Paper |
| On the Brittleness of Bayesian Inference | 2016-05-20 | Paper |
| Temporal homogenization of linear ODEs, with applications to parametric super-resonance and energy harvest | 2016-03-23 | Paper |
| Variational and linearly implicit integrators, with applications | 2016-03-11 | Paper |
| Brittleness of Bayesian inference and new Selberg formulas | 2015-12-21 | Paper |
| Control of a model of DNA division via parametric resonance | 2015-09-02 | Paper |
| Convex Optimal Uncertainty Quantification | 2015-08-03 | Paper |
| Bayesian Numerical Homogenization | 2015-07-30 | Paper |
| Conditioning Gaussian measure on Hilbert space | 2015-06-12 | Paper |
| On the equilibrium of simplicial masonry structures | 2015-02-18 | Paper |
| Brittleness of Bayesian inference under finite information in a continuous world | 2015-02-04 | Paper |
| Variational integrators for electric circuits | 2014-08-27 | Paper |
| Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization | 2014-08-22 | Paper |
| Optimal Uncertainty Quantification | 2013-07-18 | Paper |
| Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast | 2012-08-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3112239 | 2012-01-13 | Paper |
| Numerical homogenization of the acoustic wave equations with a continuum of scales | 2011-12-19 | Paper |
| From Efficient Symplectic Exponentiation of Matrices to Symplectic Integration of High-dimensional Hamiltonian Systems with Slowly Varying Quadratic Stiff Potentials | 2011-10-25 | Paper |
| Flux norm approach to finite-dimensional homogenization approximations with non-separated scales and high contrast | 2011-09-27 | Paper |
| Space-time FLAVORS: finite difference, multisymplectic, and pseudospectral integrators for multiscale PDEs | 2011-07-27 | Paper |
| Uncertainty quantification via codimension-one partitioning | 2011-07-20 | Paper |
| A non-adapted sparse approximation of PDEs with stochastic inputs | 2011-06-17 | Paper |
| Global Energy Matching Method for Atomistic-to-Continuum Modeling of Self-Assembling Biopolymer Aggregates | 2011-03-22 | Paper |
| Long-Run Accuracy of Variational Integrators in the Stochastic Context | 2011-02-28 | Paper |
| Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging | 2011-01-21 | Paper |
| Equivalence of concentration inequalities for linear and non-linear functions | 2010-09-24 | Paper |
| Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities | 2010-09-14 | Paper |
| Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position | 2010-06-23 | Paper |
| Stochastic variational integrators | 2009-04-29 | Paper |
| Discrete Geometric Structures in Homogenization and Inverse Homogenization with application to EIT | 2009-04-17 | Paper |
| Homogenization of Parabolic Equations with a Continuum of Space and Time Scales | 2009-03-16 | Paper |
| BISTABLE EQUILIBRIUM POINTS OF MERCURY BODY BURDEN | 2008-10-20 | Paper |
| Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums | 2008-09-25 | Paper |
| Ballistic Transport at Uniform Temperature | 2007-10-08 | Paper |
| Stochastic Variational Partitioned Runge-Kutta Integrators for Constrained Systems | 2007-09-14 | Paper |
| Metric-based upscaling | 2007-05-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3424692 | 2007-03-05 | Paper |
| Averaging versus chaos in turbulent transport? | 2004-11-11 | Paper |
| Anomalous slow diffusion from perpetual homogenization. | 2004-07-01 | Paper |
| Approximation of the effective conductivity of ergodic media by periodization | 2003-08-14 | Paper |
| Multiscale homogenization with bounded ratios and anomalous slow diffusion | 2003-01-28 | Paper |
| Super-diffusivity in a shear flow model from perpetual homogenization | 2002-12-01 | Paper |
