| Publication | Date of Publication | Type |
|---|
| Convergence Analysis of the Deep Galerkin Method for Weak Solutions | 2024-03-19 | Paper |
| Error analysis of deep Ritz methods for elliptic equations | 2024-01-09 | Paper |
| Nearly optimal bounds for the global geometric landscape of phase retrieval | 2023-06-16 | Paper |
| Gradient Descent for Symmetric Tensor Decomposition | 2023-06-12 | Paper |
| Approximation bounds for norm constrained neural networks with applications to regression and GANs | 2023-05-03 | Paper |
| On the existence of cut points of connected generalized Sierpiński carpets | 2023-03-29 | Paper |
| Perturbed Amplitude Flow for Phase Retrieval | 2022-09-23 | Paper |
| Linear Convergence of Randomized Kaczmarz Method for Solving Complex-Valued Phaseless Equations | 2022-08-04 | Paper |
| A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs | 2022-05-19 | Paper |
| A new binary representation method for shape convexity and application to image segmentation | 2022-05-16 | Paper |
| On the existence of cut points of connected generalized Sierpinski carpets | 2022-04-15 | Paper |
| Correction to: ``The structure of multiplicative tilings of the real line | 2022-01-14 | Paper |
| Optimal ℓ 1 Rank One Matrix Decomposition | 2021-12-14 | Paper |
| Connectedness and local cut points of generalized Sierpinski carpets | 2021-11-01 | Paper |
| Sparse Solutions of Underdetermined Linear Systems and Their Applications | 2021-09-29 | Paper |
| Linear convergence of randomized Kaczmarz method for solving complex-valued phaseless equations | 2021-09-24 | Paper |
| Overlapping Domain Decomposition Methods for Ptychographic Imaging | 2021-06-29 | Paper |
| Phase retrieval for sub-Gaussian measurements | 2021-06-29 | Paper |
| High-dimensional sparse Fourier algorithms | 2021-04-27 | Paper |
| Almost everywhere generalized phase retrieval | 2021-03-26 | Paper |
| Almost everywhere injectivity conditions for the matrix recovery problem | 2021-03-26 | Paper |
| Dissecting a square into congruent polygons | 2021-01-05 | Paper |
| Provable Near-Optimal Low-Multilinear-Rank Tensor Recovery | 2020-07-17 | Paper |
| Approximation in shift-invariant spaces with deep ReLU neural networks | 2020-05-25 | Paper |
| Convex Shape Representation with Binary Labels for Image Segmentation: Models and Fast Algorithms | 2020-02-21 | Paper |
| Data-driven Method for 3D Axis-symmetric Object Reconstruction from Single Cone-beam Projection Data | 2019-12-16 | Paper |
| New SOCP relaxation and branching rule for bipartite bilinear programs | 2019-10-29 | Paper |
| Generalized phase retrieval: measurement number, matrix recovery and beyond | 2019-09-26 | Paper |
| Spectrum is rational in dimension one | 2019-08-07 | Paper |
| Fast rank-one alternating minimization algorithm for phase retrieval | 2019-06-27 | Paper |
| The structure of multiplicative tilings of the real line | 2019-06-05 | Paper |
| Newman cyclotomic polynomials, refinable splines and the Euler binary partition function | 2019-02-19 | Paper |
| Data recovery on a manifold from linear samples: theory and computation | 2018-04-03 | Paper |
| Fourier Bases and Fourier Frames on Self-Affine Measures | 2018-03-29 | Paper |
| A Frame Reconstruction Algorithm with Applications to Magnetic Resonance Imaging | 2018-03-26 | Paper |
| Random matrices and erasure robust frames | 2018-03-13 | Paper |
| Non-spectral fractal measures with Fourier frames | 2017-11-17 | Paper |
| Bayesian Learning of Sparse Multiscale Image Representations | 2017-10-27 | Paper |
| Phase retrieval from the magnitudes of affine linear measurements | 2017-10-20 | Paper |
| The Golden Ratio Encoder | 2017-07-27 | Paper |
| Efficient estimation of regularization parameters via downsampling and the singular value expansion, downsampling regularization parameter estimation | 2017-06-22 | Paper |
| Subspace clustering by \((k,k)\)-sparse matrix factorization | 2017-05-03 | Paper |
| Topological invariants and Lipschitz equivalence of fractal squares | 2017-03-28 | Paper |
| On the decay of the smallest singular value of submatrices of rectangular matrices | 2016-12-22 | Paper |
| Fast Phase Retrieval from Local Correlation Measurements | 2016-12-19 | Paper |
| Robust sparse phase retrieval made easy | 2016-11-30 | Paper |
| Stable signal recovery from phaseless measurements | 2016-08-30 | Paper |
| Tiling $$\mathbb{Z}^{2}$$ by a Set of Four Elements | 2016-05-25 | Paper |
| A multiscale sub-linear time Fourier algorithm for noisy data | 2016-04-04 | Paper |
| A Bilateral Reserve Market for Variable Generation: Concept and Implementation | 2016-01-12 | Paper |
| Lipschitz Equivalence of Self-Similar Sets: Algebraic and Geometric Properties | 2015-10-05 | Paper |
| Gabor orthonormal bases generated by the unit cubes | 2015-07-23 | Paper |
| Self-similar subsets of the Cantor set | 2015-07-13 | Paper |
| Invertibility and robustness of phaseless reconstruction | 2015-05-04 | Paper |
| On the Convergence of Iterative Filtering Empirical Mode Decomposition | 2015-03-27 | Paper |
| Phase retrieval for sparse signals | 2014-09-11 | Paper |
| Phase aliasing correction for robust blind source separation using DUET | 2014-07-16 | Paper |
| Lipschitz equivalence of self-similar sets with touching structures | 2014-07-03 | Paper |
| Phase retrieval from very few measurements | 2014-04-29 | Paper |
| Coarse quantization for random interleaved sampling of bandlimited signals | 2013-08-14 | Paper |
| Edge detection from truncated Fourier data using spectral mollifiers | 2013-06-14 | Paper |
| Source extraction in audio via background learning | 2013-06-05 | Paper |
| Vakman's problem and the extension of Hilbert transform | 2013-03-05 | Paper |
| Necessary and sufficient conditions to perform spectral tetris | 2013-02-22 | Paper |
| Spectral tetris fusion frame constructions | 2012-12-06 | Paper |
| The regularity of refinable functions | 2012-11-23 | Paper |
| The Performance of PCM Quantization Under Tight Frame Representations | 2012-10-26 | Paper |
| Partial differential equation transform-Variational formulation and Fourier analysis | 2012-06-26 | Paper |
| Sparse PCA by iterative elimination algorithm | 2012-06-20 | Paper |
| Mode decomposition evolution equations | 2012-06-13 | Paper |
| A geometric construction of tight multivariate Gabor frames with compactly supported smooth windows | 2012-04-26 | Paper |
| Lipschitz equivalence of Cantor sets and algebraic properties of contraction ratios | 2012-04-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3098675 | 2011-11-18 | Paper |
| Constructing tight fusion frames | 2011-03-09 | Paper |
| A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows | 2010-10-29 | Paper |
| Classification of refinable splines in \(\mathbb R^{d }\) | 2010-06-09 | Paper |
| The \(\beta \alpha \)-encoders for robust A/D conversion | 2009-11-20 | Paper |
| On the structures of generating iterated function systems of Cantor sets | 2009-11-10 | Paper |
| Lattice quantization error for redundant representations | 2009-10-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3626641 | 2009-05-22 | Paper |
| On refinable sets | 2008-08-28 | Paper |
| Sigma-delta quantization errors and the traveling salesman problem | 2008-03-12 | Paper |
| White Noise Hypothesis for Uniform Quantization Errors | 2007-11-16 | Paper |
| Refinable functions with non-integer dilations | 2007-09-13 | Paper |
| Structure of refinable splines | 2007-05-03 | Paper |
| Simultaneous translational and multiplicative tiling and wavelet sets in R^2 | 2007-02-13 | Paper |
| Classification of refinable splines | 2006-11-17 | Paper |
| Generation of finite tight frames by Householder transformations | 2006-05-29 | Paper |
| Self-similar measures associated to IFS with non-uniform contraction ratios | 2006-03-29 | Paper |
| Some properties of spectral measures | 2006-03-20 | Paper |
| A class of self-affine sets and self-affine measures | 2005-05-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4656818 | 2005-03-14 | Paper |
| Quantum integers and cyclotomy | 2005-02-22 | Paper |
| Bernoulli convolutions associated with certain non—Pisot numbers | 2004-10-25 | Paper |
| Bernoulli convolutions associated with certain non-Pisot numbers | 2004-08-19 | Paper |
| Sparse complete Gabor systems on a lattice. | 2004-01-26 | Paper |
| On 2-reptiles in the plane | 2003-11-13 | Paper |
| Substitution Delone sets | 2003-08-21 | Paper |
| The uniformity of non-uniform Gabor bases | 2003-04-10 | Paper |
| Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory | 2003-03-26 | Paper |
| Universal spectra, universal tiling sets and the spectral set conjecture | 2003-03-25 | Paper |
| Disk-like self-affine tiles in \(\mathbb{R}^2\) | 2003-03-18 | Paper |
| Self-affine tiling via substitution dynamical systems and Rauzy fractals. | 2003-02-13 | Paper |
| On spectral Cantor measures | 2002-11-28 | Paper |
| Wavelets, tiling, and spectral sets | 2002-10-27 | Paper |
| HAUSDORFF DIMENSION OF SELF-SIMILAR SETS WITH OVERLAPS | 2002-10-22 | Paper |
| Lattice tiling and the Weyl-Heisenberg frames | 2002-09-06 | Paper |
| Subdivision schemes and refinement equations with nonnegative masks | 2002-07-10 | Paper |
| A characterization of finite sets that tile the integers | 2001-09-18 | Paper |
| On the Number of Daubechies Scaling Functions and a Conjecture of Chyzaket al | 2001-07-22 | Paper |
| Haar-type multiwavelet bases and self-affine multi-tiles | 2001-02-11 | Paper |
| Orthogonality criteria for compactly supported refinable functions and refinable function vectors | 2000-10-26 | Paper |
| Orthonormal bases of exponentials for the \(n\)-cube | 2000-07-24 | Paper |
| Compactly supported orthogonal symmetric scaling functions | 2000-02-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4270481 | 1999-11-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4270482 | 1999-11-24 | Paper |
| Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$ | 1999-06-27 | Paper |
| Haar type orthonormal wavelet bases in \(R^2\) | 1999-03-08 | Paper |
| Self-affine tiles in \(\mathbb{R}^n\) | 1998-08-24 | Paper |
| Integral Self-Affine Tiles in ℝ n I. Standard and Nonstandard Digit Sets | 1998-08-24 | Paper |
| On the use of high-order ambiguity function for multi-component polynomial phase signals | 1998-08-13 | Paper |
| Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory | 1998-05-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3128965 | 1997-09-16 | Paper |
| Spectral sets and factorizations of finite abelian groups | 1997-05-05 | Paper |
| Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings | 1997-04-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5687392 | 1997-03-19 | Paper |
| Nonnegative Radix Representations for the Orthant 𝑅ⁿ₊ | 1997-01-30 | Paper |
| Existence and Regularity of Solutions to a Variational Problem of Mumford and Shah: A Constructive Approach | 1996-02-25 | Paper |
| Tiling the line with translates of one tile | 1996-01-01 | Paper |
| The finiteness conjecture for the generalized spectral radius of a set of matrices | 1995-08-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4027562 | 1993-02-21 | Paper |
| Bounded semigroups of matrices | 1992-06-28 | Paper |
