| Publication | Date of Publication | Type |
|---|
| Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis | 2024-01-29 | Paper |
| A Novel Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Chemotaxis System | 2023-09-24 | Paper |
| A convergent interacting particle method for computing KPP front speeds in random flows | 2023-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6041373 | 2023-05-26 | Paper |
| An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations | 2023-04-18 | Paper |
| Bifurcation of homogenization and nonhomogenization of the curvature G-equation with shear flows | 2023-03-28 | Paper |
| Recurrence of optimum for training weight and activation quantized networks | 2022-12-08 | Paper |
| Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method | 2022-10-09 | Paper |
| DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method | 2022-06-13 | Paper |
| A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows | 2022-06-08 | Paper |
| Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs | 2022-04-18 | Paper |
| A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits | 2022-03-15 | Paper |
| A Weighted Difference of Anisotropic and Isotropic Total Variation for Relaxed Mumford--Shah Color and Multiphase Image Segmentation | 2021-11-19 | Paper |
| Learning quantized neural nets by coarse gradient method for nonlinear classification | 2021-09-01 | Paper |
| Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows | 2021-08-16 | Paper |
| Enhanced diffusivity in perturbed senile reinforced random walk models | 2021-07-05 | Paper |
| Global convergence and geometric characterization of slow to fast weight evolution in neural network training for classifying linearly non-separable data | 2021-06-03 | Paper |
| Convergence analysis of a Lagrangian numerical scheme in computing effective diffusivity of 3D time-dependent flows | 2021-06-02 | Paper |
| Error Estimates for a POD Method for Solving Viscous G-Equations in Incompressible Cellular Flows | 2021-04-01 | Paper |
| A convergent interacting particle method and computation of KPP front speeds in chaotic flows | 2021-03-26 | Paper |
| Convergence Analysis of Stochastic Structure-Preserving Schemes for Computing Effective Diffusivity in Random Flows | 2020-10-28 | Paper |
| Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations | 2020-09-14 | Paper |
| Spectral analysis and computation for homogenization of advection diffusion processes in steady flows | 2020-03-05 | Paper |
| Ratio and difference of \(l_1\) and \(l_2\) norms and sparse representation with coherent dictionaries | 2020-02-03 | Paper |
| Deep learning for real-time crime forecasting and its ternarization | 2020-01-10 | Paper |
| BinaryRelax: A Relaxation Approach for Training Deep Neural Networks with Quantized Weights | 2019-08-22 | Paper |
| Blended coarse gradient descent for full quantization of deep neural networks | 2019-08-20 | Paper |
| Sparse Kalman filtering approaches to realized covariance estimation from high frequency financial data | 2019-06-26 | Paper |
| Convergence of stochastic structure-preserving schemes for computing effective diffusivity in random flows | 2019-06-20 | Paper |
| Residual diffusivity in elephant random walk models with stops | 2019-03-12 | Paper |
| Convergence of a Relaxed Variable Splitting Coarse Gradient Descent Method for Learning Sparse Weight Binarized Activation Neural Networks | 2019-01-25 | Paper |
| Convergence of a Relaxed Variable Splitting Method for Learning Sparse Neural Networks via $\ell_1, \ell_0$, and transformed-$\ell_1$ Penalties | 2018-12-13 | Paper |
| Iterative <em>l</em><sub>1</sub> Minimization for Non-Convex Compressed Sensing | 2018-10-22 | Paper |
| Linear feature transform and enhancement of classification on deep neural network | 2018-09-28 | Paper |
| Computing Effective Diffusivity of Chaotic and Stochastic Flows Using Structure-Preserving Schemes | 2018-08-03 | Paper |
| Three \(l_1\) based nonconvex methods in constructing sparse mean reverting portfolios | 2018-06-01 | Paper |
| Curvature effect in shear flow: slowdown of turbulent flame speeds with Markstein number | 2018-05-16 | Paper |
| Minimization of transformed \(L_1\) penalty: theory, difference of convex function algorithm, and robust application in compressed sensing | 2018-05-16 | Paper |
| Computing Residual Diffusivity by Adaptive Basis Learning via Spectral Method | 2018-01-29 | Paper |
| Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows | 2018-01-19 | Paper |
| A Convex Model for Nonnegative Matrix Factorization and Dimensionality Reduction on Physical Space | 2017-10-27 | Paper |
| Computational Aspects of Constrained L 1-L 2 Minimization for Compressive Sensing | 2017-09-12 | Paper |
| Difference-of-Convex Learning: Directional Stationarity, Optimality, and Sparsity | 2017-08-18 | Paper |
| A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit | 2017-06-07 | Paper |
| Minimization of transformed \(l_1\) penalty: closed form representation and iterative thresholding algorithms | 2017-05-30 | Paper |
| Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion | 2017-05-30 | Paper |
| Periodic Orbits of the ABC Flow with A=B=C=1 | 2016-12-21 | Paper |
| Point source super-resolution via non-convex \(L_1\) based methods | 2016-10-28 | Paper |
| Ballistic Orbits and Front Speed Enhancement for ABC Flows | 2016-10-14 | Paper |
| Weighted Elastic Net Penalized Mean-Variance Portfolio Design and Computation | 2016-01-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3463471 | 2016-01-14 | Paper |
| A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing | 2015-10-13 | Paper |
| Computing sparse representation in a highly coherent dictionary based on difference of \(L_1\) and \(L_2\) | 2015-09-03 | Paper |
| PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms | 2015-06-12 | Paper |
| Minimization of $\ell_{1-2}$ for Compressed Sensing | 2015-05-21 | Paper |
| Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning | 2015-02-12 | Paper |
| Convergence analysis of a randomly perturbed infomax algorithm for blind source separation | 2015-02-12 | Paper |
| Computational Modeling of Spectral Data Fitting with Nonlinear Distortions | 2015-01-06 | Paper |
| A semi-blind source separation method for differential optical absorption spectroscopy of atmospheric gas mixtures | 2014-12-05 | Paper |
| Asymptotic Growth Rates and Strong Bending of Turbulent Flame Speeds of G-Equation in Steady Two-Dimensional Incompressible Periodic Flows | 2014-11-04 | Paper |
| Front quenching in the G-equation model induced by straining of cellular flow | 2014-09-19 | Paper |
| Partially Blind Deblurring of Barcode from Out-of-Focus Blur | 2014-08-20 | Paper |
| Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models | 2014-04-16 | Paper |
| A Method for Finding Structured Sparse Solutions to Nonnegative Least Squares Problems with Applications | 2014-01-23 | Paper |
| Mathematical modeling and signal processing in speech and hearing sciences | 2013-11-28 | Paper |
| Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows | 2013-08-22 | Paper |
| A convex model and \(l_1\) minimization for musical noise reduction in blind source separation | 2013-07-30 | Paper |
| Finite element computation of KPP front speeds in cellular and cat's eye flows | 2013-07-26 | Paper |
| A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows | 2013-02-26 | Paper |
| Nonnegative Sparse Blind Source Separation for NMR Spectroscopy by Data Clustering, Model Reduction, and $\ell_1$ Minimization | 2013-01-25 | Paper |
| A Geometric Blind Source Separation Method Based on Facet Component Analysis | 2013-01-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3144578 | 2012-12-08 | Paper |
| Asymptotics for turbulent flame speeds of the viscous \(G\)-equation enhanced by cellular and shear flows | 2012-11-05 | Paper |
| A recursive sparse blind source separation method and its application to correlated data in NMR spectroscopy of biofluids | 2012-10-01 | Paper |
| Underdetermined Sparse Blind Source Separation of Nonnegative and Partially Overlapped Data | 2011-12-07 | Paper |
| A Sparse Semi-Blind Source Identification Method and Its Application to Raman Spectroscopy for Explosives Detection | 2011-10-07 | Paper |
| Structure Assisted NMF Methods for Separation of Degenerate Mixture Data with Application to NMR Spectroscopy | 2011-10-07 | Paper |
| Postprocessing and sparse blind source separation of positive and partially overlapped data | 2011-07-27 | Paper |
| Analysis and Comparison of Large Time Front Speeds in Turbulent Combustion Models | 2011-05-27 | Paper |
| A Time Domain Blind Decorrelation Method of Convolutive Mixtures Based on an IIR Model | 2011-02-05 | Paper |
| Periodic homogenization of the inviscid G-equation for incompressible flows | 2011-01-31 | Paper |
| Bounds on front speeds for inviscid and viscous \(G\)-equations | 2011-01-13 | Paper |
| Periodic homogenization of G-equations and viscosity effects | 2010-10-21 | Paper |
| Stochastic approximation and a nonlocally weighted soft-constrained recursive algorithm for blind separation of reverberant speech mixtures | 2010-10-15 | Paper |
| Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse | 2010-06-25 | Paper |
| A Soft-Constrained Dynamic Iterative Method of Blind Source Separation | 2009-12-21 | Paper |
| Finite Element Computations of Kolmogorov–Petrovsky–Piskunov Front Speeds in Random Shear Flows in Cylinders | 2009-10-16 | Paper |
| Signal processing of acoustic signals in the time domain with an active nonlinear nonlocal cochlear model | 2009-07-01 | Paper |
| Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows | 2009-07-01 | Paper |
| A time domain algorithm for blind separation of convolutive sound mixtures and \(L_1\) constrained minimization of cross correlations | 2009-06-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3626661 | 2009-05-22 | Paper |
| Computing reactive front speeds in random flows by variational principle | 2009-02-10 | Paper |
| KPP fronts in a one-dimensional random drift | 2009-02-05 | Paper |
| An Introduction to Fronts in Random Media | 2008-10-06 | Paper |
| Breakdown of homogenization for the random Hamilton-Jacobi equations | 2008-04-30 | Paper |
| A variational principle for KPP front speeds in temporally random shear flows | 2007-05-31 | Paper |
| Min-max variational principle and front speeds in random shear flows | 2006-09-14 | Paper |
| Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media | 2006-08-23 | Paper |
| An orthogonal discrete auditory transform | 2006-06-26 | Paper |
| Scaling limits of waves in convex scalar conservation laws under random initial perturbations | 2006-06-14 | Paper |
| Variational principle based computation of KPP average front speeds in random shear flows | 2006-03-29 | Paper |
| Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds | 2006-03-10 | Paper |
| A Many to One Discrete Auditory Transform | 2006-03-07 | Paper |
| A PDE based two level model of the masking property of the human ear | 2006-01-16 | Paper |
| Time domain computation of a nonlinear nonlocal cochlear model with applications to multitone interaction in hearing | 2006-01-16 | Paper |
| Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle | 2005-11-30 | Paper |
| An invertible discrete auditory transform | 2005-10-11 | Paper |
| A Two-Dimensional Nonlinear Nonlocal Feed-Forward Cochlear Model and Time Domain Computation of Multitone Interactions | 2005-10-06 | Paper |
| A variational principle based study of KPP minimal front speeds in random shears | 2005-09-01 | Paper |
| KPP front speeds in random shears and the parabolic Anderson problem | 2004-10-25 | Paper |
| Global well-posedness and multi-tone solutions of a class of nonlinear nonlocal cochlear models in hearing | 2004-08-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4462517 | 2004-05-18 | Paper |
| Reaction-Diffusion Front Speeds in Spatially-Temporally Periodic Shear Flows | 2004-03-17 | Paper |
| Modelling thermal front dynamics in microwave heating | 2003-08-13 | Paper |
| Self-similar decay in the Kraichnan model of a passive scalar | 2003-03-20 | Paper |
| Diffusion-generated motion by mean curvature for filaments | 2002-05-30 | Paper |
| A perception- and PDE-based nonlinear transformation for processing spoken words | 2002-03-18 | Paper |
| Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field | 2002-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4508440 | 2001-05-10 | Paper |
| Stability, Relaxation, and Oscillation of Biodegradation Fronts | 2000-10-18 | Paper |
| A numerical study of fronts in random media using a reactive solute transport model | 2000-08-07 | Paper |
| Front Propagation in Heterogeneous Media | 2000-07-20 | Paper |
| Modeling light bullets with the two-dimensional sine-Gordon equation | 2000-05-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4267505 | 2000-04-24 | Paper |
| A unified approach to vortex motion laws of complex scalar field equations | 2000-02-09 | Paper |
| Front speed in the Burgers equation with a random flux | 1999-09-13 | Paper |
| Existence of Traveling Waves in a Biodegradation Model for Organic Contaminants | 1999-06-27 | Paper |
| On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation | 1999-05-30 | Paper |
| Global solutions to a reactive Boussinesq system with front data on an infinite domain | 1998-10-21 | Paper |
| Wetting Fronts in One-Dimensional Periodically Layered Soils | 1998-05-10 | Paper |
| Stability of traveling waves of a solute transport equation | 1998-04-02 | Paper |
| White noise perturbation of the viscous shock fronts of the Burgers equation | 1997-04-01 | Paper |
| Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media | 1995-08-27 | Paper |
| Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media | 1995-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4291778 | 1994-07-18 | Paper |
| Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I | 1993-05-16 | Paper |
| Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, II | 1993-05-16 | Paper |
| Existence of planar flame fronts in convective-diffusive periodic media | 1993-04-01 | Paper |
