Gitta Kutyniok | Academic Influence

Gitta Kutyniok's AcademicInfluence.com Rankings

Gitta Kutyniok

Mathematics

#4529

World Rank

#6417

Historical Rank

Harmonic Analysis

#13

World Rank

#14

Historical Rank

Applied Mathematics

#265

World Rank

#290

Historical Rank

Measure Theory

#1634

World Rank

#2015

Historical Rank

mathematics Degrees

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Mathematics

Gitta Kutyniok's Degrees

PhD Mathematics University of Potsdam

Why Is Gitta Kutyniok Influential?

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According to Wikipedia, Gitta Kutyniok is a German applied mathematician known for her research in harmonic analysis, deep learning, compressed sensing, and image processing. She has a Bavarian AI Chair for "Mathematical Foundations of Artificial Intelligence" in the institute of mathematics at the Ludwig Maximilian University of Munich.

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Gitta Kutyniok's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Compressed Sensing: Theory and Applications (2012) (928)
Sparse multidimensional representation using shearlets (2005) (539)
Frames of subspaces (2003) (403)
Fusion frames and distributed processing (2006) (351)
Shearlets: Multiscale Analysis for Multivariate Data (2012) (308)
Sparse Multidimensional Representations using Anisotropic Dilation and Shear Operators (2006) (306)
Compactly supported shearlets are optimally sparse (2010) (294)
Resolution of the wavefront set using continuous shearlets (2006) (290)
Introduction to compressed sensing (2012) (249)
Finite Frames: Theory and Applications (2012) (241)
Optimal Approximation with Sparsely Connected Deep Neural Networks (2017) (217)
Construction of Compactly Supported Shearlet Frames (2010) (214)
FRAMES OF SUBSPACES. WAVELETS, FRAMES AND OPERATOR THEORY (2004) (181)
Shearlet coorbit spaces and associated Banach frames (2009) (178)
A Haar wavelet-based perceptual similarity index for image quality assessment (2016) (177)
The Uncertainty Principle Associated with the Continuous Shearlet Transform (2008) (152)
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs (2019) (143)
Error bounds for approximations with deep ReLU neural networks in $W^{s, p}$ norms (2019) (125)
ShearLab: A Rational Design of a Digital Parabolic Scaling Algorithm (2011) (120)
ShearLab 3D (2014) (116)
Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography (2018) (110)
Microlocal Analysis of the Geometric Separation Problem (2010) (110)
Robust dimension reduction, fusion frames, and Grassmannian packings (2007) (108)
Compactly Supported Shearlets (2010) (108)
Introduction to Shearlets (2012) (105)
Sparse Recovery From Combined Fusion Frame Measurements (2009) (104)
Theory and applications of compressed sensing (2012) (95)
Compressed Sensing: List of contributors (2012) (89)
Approximation Spaces of Deep Neural Networks (2019) (85)
Image Separation Using Wavelets and Shearlets (2010) (82)
Irregular Shearlet Frames: Geometry and Approximation Properties (2010) (78)
Introduction to Finite Frame Theory (2013) (77)
Parabolic Molecules (2012) (76)
Transferability of Spectral Graph Convolutional Neural Networks (2019) (75)
Duality Principles in Frame Theory (2004) (74)
Robustness of Fusion Frames under Erasures of Subspaces and of Local Frame Vectors (2007) (67)
ShearLab 3D: Faithful Digital Shearlet Transforms Based on Compactly Supported Shearlets (2016) (67)
Shearlets on Bounded Domains (2010) (66)
Image Separation Using Shearlets (2011) (63)
Modeling sensor networks with fusion frames (2007) (62)
Data Separation by Sparse Representations (2011) (61)
Scalable Frames (2012) (61)
The Balian–Low theorem for symplectic lattices in higher dimensions (2002) (61)
Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis (2007) (56)
Optimally Sparse Frames (2010) (56)
Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames (2011) (55)
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks (2020) (55)
Sparse fusion frames: existence and construction (2011) (54)
The Modern Mathematics of Deep Learning (2021) (54)
CONSTRUCTION OF REGULAR AND IRREGULAR SHEARLET FRAMES (2007) (53)
Density of weighted wavelet frames (2003) (52)
A new identity for Parseval frames (2007) (51)
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis (2012) (51)
Classification of Edges Using Compactly Supported Shearlets (2014) (50)
Digital Shearlet Transforms (2011) (49)
Wilson Bases for General Time-Frequency Lattices (2003) (49)
$\ell^1$-Analysis Minimization and Generalized (Co-)Sparsity: When Does Recovery Succeed? (2017) (48)
Zeros of the Zak transform on locally compact abelian groups (1998) (48)
RadioUNet: Fast Radio Map Estimation With Convolutional Neural Networks (2019) (47)
A generalization of Gram–Schmidt orthogonalization generating all Parseval frames (2007) (43)
On the Transferability of Spectral Graph Filters (2019) (43)
A quantitative notion of redundancy for finite frames (2009) (41)
Adaptive Multiresolution Analysis Structures and Shearlet Systems (2011) (41)
Asymptotic Analysis of Inpainting via Universal Shearlet Systems (2014) (38)
The geometry of sets of parameters of wave packet frames (2006) (37)
Development of a digital shearlet transform based on Pseudo-Polar FFT (2009) (36)
Optimal Compressive Imaging of Fourier Data (2015) (34)
The theory of reproducing systems on locally compact abelian groups (2006) (34)
The Computational Complexity of Understanding Binary Classifier Decisions (2021) (33)
Geometric Separation using a Wavelet-Shearlet Dictionary (2010) (33)
Expressivity of Deep Neural Networks (2020) (33)
Compressed Sensing for Finite-Valued Signals (2016) (33)
A Rate-Distortion Framework for Explaining Neural Network Decisions (2019) (30)
Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements (2014) (29)
Sparse Proteomics Analysis – a compressed sensing-based approach for feature selection and classification of high-dimensional proteomics mass spectrometry data (2015) (28)
ChatGPT for good? On opportunities and challenges of large language models for education (2023) (27)
PROMP: A sparse recovery approach to lattice-valued signals (2017) (27)
Sparsity and spectral properties of dual frames (2012) (26)
Landau's necessary density conditions for LCA groups (2008) (26)
From Wavelets to Shearlets and back again (2007) (26)
Affine Density in Wavelet Analysis (2007) (26)
Gabor Shearlets (2013) (24)
Linear independence of time-frequency shifts under a generalized Schrödinger representation (2002) (24)
Scalable Frames and Convex Geometry (2013) (23)
Shearlets and Optimally Sparse Approximations (2011) (23)
Decompositions of frames and a new frame identity (2005) (23)
Measures of Scalability (2014) (23)
The Homogeneous Approximation Property for wavelet frames (2007) (23)
Analysis of data separation and recovery problems using clustered sparsity (2011) (23)
A redundant version of the Rado–Horn Theorem (2006) (22)
A decomposition theorem for frames and the Feichtinger Conjecture (2007) (22)
Cartoon Approximation with -Curvelets (2014) (21)
Beurling Dimension of Gabor Pseudoframes for Affine Subspaces (2008) (21)
Geometric Separation by Single-Pass Alternating Thresholding (2012) (21)
Image interpolation using shearlet based iterative refinement (2013) (20)
Ambiguity functions, Wigner distributions and Cohen's class for LCA groups (2003) (20)
Alpha molecules: curvelets, shearlets, ridgelets, and beyond (2013) (19)
Image inpainting: theoretical analysis and comparison of algorithms (2013) (19)
Density of frames and Schauder bases of windowed exponentials (2008) (18)
Fusion frames and robust dimension reduction (2008) (17)
Clustered Sparsity and Separation of Cartoon and Texture (2012) (17)
Transferability of Graph Neural Networks: an Extended Graphon Approach (2021) (16)
Shearlets: Theory and Applications (2014) (16)
Shearlets as feature extractor for semantic edge detection: the model-based and data-driven realm (2019) (15)
Affine Density, Frame Bounds, and the Admissibility Condition for Wavelet Frames (2007) (15)
OPERATORS AND FRAMES (2012) (15)
Tensor network approaches for learning non-linear dynamical laws (2020) (15)
Compressed Sensing for Analog Signals (2018) (14)
A Survey of Compressed Sensing (2015) (14)
A Mathematical Framework for Feature Selection from Real-World Data with Non-Linear Observations (2016) (14)
A RATIONAL DESIGN OF A DIGITAL SHEARLET TRANSFORM (2010) (14)
Compressed sensing for fusion frames (2009) (13)
Analyzing Finite Neural Networks: Can We Trust Neural Tangent Kernel Theory? (2020) (13)
Pathloss Prediction using Deep Learning with Applications to Cellular Optimization and Efficient D2D Link Scheduling (2020) (13)
A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups (2003) (13)
Compressed Sensing and its Applications: MATHEON Workshop 2013 (2015) (13)
Shearlet-based compressed sensing for fast 3D cardiac MR imaging using iterative reweighting (2017) (13)
Cartoon Approximation with $$\alpha $$α-Curvelets (2014) (13)
Sparsity Equivalence of Anisotropic Decompositions (2011) (12)
Unification of sparse Bayesian learning algorithms for electromagnetic brain imaging with the majorization minimization framework (2020) (12)
Regularization and numerical solution of the inverse scattering problem using shearlet frames (2014) (12)
Hierarchical Sparse Channel Estimation for Massive MIMO (2018) (11)
Generalization Analysis of Message Passing Neural Networks on Large Random Graphs (2022) (11)
Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks (2019) (11)
Efficient Resolution of Anisotropic Structures (2014) (11)
The local integrability condition for wavelet frames (2006) (11)
OOD Link Prediction Generalization Capabilities of Message-Passing GNNs in Larger Test Graphs (2022) (10)
Limitations of Deep Learning for Inverse Problems on Digital Hardware (2022) (10)
A Unitary Extension Principle for Shearlet Systems (2009) (10)
Practical Implementation of Compressive Sensing for High Resolution STEM (2016) (10)
BEURLING DENSITY AND SHIFT-INVARIANT WEIGHTED IRREGULAR GABOR SYSTEMS (2005) (10)
Interval Neural Networks: Uncertainty Scores (2020) (10)
BEURLING DENSITY AND SHIFT-INVARIANT WEIGHTED IRREGULAR GABOR SYSTEMS (2005) (10)
A weak qualitative uncertainty principle for compact groups (2003) (10)
Duality principles, localization of frames, and Gabor theory (2005) (9)
Erasure-proof transmissions: fusion frames meet coding theory (2009) (9)
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations (2016) (9)
The Effect of Perturbations of Frame Sequences and Fusion Frames on Their Duals (2015) (9)
FUSION FRAMES: EXISTENCE AND CONSTRUCTION (2009) (9)
Dualizable Shearlet Frames and Sparse Approximation (2014) (8)
α-Molecules : Curvelets , Shearlets , Ridgelets , and Beyond (2013) (8)
Image interpolation using shearlet based sparsity priors (2013) (8)
Computation of the density of weighted wavelet systems (2003) (8)
A Rate-Distortion Framework for Explaining Black-box Model Decisions (2021) (7)
Explaining Neural Network Decisions Is Hard (2020) (6)
Anisotropic multiscale systems on bounded domains (2015) (6)
Constructing fusion frames with desired parameters (2009) (6)
tfShearlab: The TensorFlow Digital Shearlet Transform for Deep Learning (2020) (6)
Memory-optimal neural network approximation (2017) (6)
The Mismatch Principle: The Generalized Lasso Under Large Model Uncertainties. (2019) (5)
Detecting failure modes in image reconstructions with interval neural network uncertainty (2021) (5)
In-Distribution Interpretability for Challenging Modalities (2020) (5)
Parabolic Molecules: Curvelets, Shearlets, and Beyond (2014) (5)
OPTIMALLY SPARSE FUSION FRAMES : EXISTENCE AND CONSTRUCTION (2010) (5)
Perfect Preconditioning of Frames by a Diagonal Operator (2013) (4)
Neural Tangent Kernel Beyond the Infinite-Width Limit: Effects of Depth and Initialization (2022) (4)
The Computational Complexity of Understanding Network Decisions (2019) (4)
Dataset of Pathloss and ToA Radio Maps With Localization Application (2022) (4)
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs (2021) (4)
Cartoon Explanations of Image Classifiers (2021) (4)
The Effect of Perturbations of Operator-Valued Frame Sequences and Fusion Frames on Their Duals (2015) (4)
Stability and Generalization Capabilities of Message Passing Graph Neural Networks (2022) (4)
A fundamental identity for Parseval frames (2005) (4)
Real-time Outdoor Localization Using Radio Maps: A Deep Learning Approach (2021) (3)
Estimation of Angles of Arrival Through Superresolution -- A Soft Recovery Approach for General Antenna Geometries (2017) (3)
Deep Microlocal Reconstruction for Limited-Angle Tomography (2021) (3)
LocUNet: Fast Urban Positioning Using Radio Maps and Deep Learning (2022) (3)
Signal recovery from thresholded frame measurements (2013) (3)
Analysis of simultaneous inpainting and geometric separation based on sparse decomposition (2020) (3)
Analysis of lscr1 minimization in the Geometric Separation Problem (2008) (3)
Inverse Problems Are Solvable on Real Number Signal Processing Hardware (2022) (3)
The Restricted Isometry of ReLU Networks: Generalization through Norm Concentration (2020) (3)
Average case analysis of sparse recovery from combined fusion frame measurements (2010) (2)
Upper and lower redundancy of finite frames (2010) (2)
Shearlet Analysis of Confocal Laser-Scanning Microscopy Images to Extract Morphological Features of Neurons (2014) (2)
Geometric Multiscale Analysis : From Wavelets to Parabolic Molecules (2014) (2)
A low complexity replacement scheme for erased frame coefficients (2009) (2)
(Non-)existence of Wilson bases for general time-frequency lattices (2003) (2)
CONVOLUTION AND WIENER AMALGAM SPACES ON THE AFFINE GROUP (2008) (2)
Compressed Sensing: Preface (2012) (2)
Preconditioning of frames (2013) (2)
Error Correction for Erasures of Quantized Frame Coefficients (2010) (2)
Coarse quantization with the fast digital shearlet transform (2011) (2)
Sparse matrices in frame theory (2014) (2)
Discussion of: “Nonparametric regression using deep neural networks with ReLU activation function” (2020) (2)
The Mismatch Principle: Statistical Learning Under Large Model Uncertainties (2018) (2)
A DECOMPOSITION THEOREM FOR FRAMES AND THE WEAK FEICHTINGER CONJECTURE (2005) (2)
A Compressed Sensing Approach to Component Separation in Imaging (2014) (1)
Construction of Compactly Supported Shearlet Frames (2011) (1)
What is Applied Harmonic Analysis? (2008) (1)
Well-definedness of Physical Law Learning: The Uniqueness Problem (2022) (1)
Special Issue on the Mathematical Foundations of Deep Learning in Imaging Science (2020) (1)
Graph Scattering beyond Wavelet Shackles (2023) (1)
Erasure-proof coding with fusion frames (2009) (1)
Real-time Localization Using Radio Maps (2020) (1)
Digital Shearlet Transform (2011) (1)
Guest Editorial: Mathematics and Image Analysis (2015) (1)
Complexity bounds for approximations with deep ReLU neural networks in Sobolev norms (2019) (1)
Reconstruction of finite-valued sparse signals (2017) (1)
Accumulative density (2005) (1)
Preface to the Special Issue on Sparse Approximate Solution of Linear Systems (2014) (1)
Mini-Workshop: Shearlets (2010) (1)
Applied Harmonic Analysis and Sparse Approximation (2012) (1)
Quasi Monte Carlo Time-Frequency Analysis (2020) (1)
Operators and frames - Corrigendum (2017) (1)
New Discretization Methods for the Numerical Approximation of PDEs (2015) (1)
OPTIMAL APPROXIMATION WITH SPARSELY CONNECTED DEEP NEURAL (2019) (1)
Learning sparse representations on the sphere (2018) (0)
OPTIMALLY SPARSE APPROXIMATIONS OF MULTIVARIATE FUNCTIONS USING COMPACTLY SUPPORTED SHEARLET FRAMES (2011) (0)
Wavelets in Neurophysiology (0)
Operator algebras and representation theory : frames, wavelets and fractals (2011) (0)
A QUANTITATIVE NOTION OF REDUNDANCY AND ITS APPLICATIONS (2011) (0)
A Compressed Sensing Approach to Select Optimal Atom-Centered Basis Functions for DFT and Beyond (2016) (0)
Memorization-Dilation: Modeling Neural Collapse Under Noise (2022) (0)
Ju l 2 01 4 α-Molecules (2014) (0)
JMIV Special Issue Mathematics and Image Analysis (2017) (0)
Fusion Frames and Wireless Sensor Networks (2013) (0)
Compressed sensing in Hilbert spaces (2018) (0)
Anisotropic multiscale systems on bounded domains (2020) (0)
110 11051 – Sparse Representations and Efficient Sensing of Data 2 Table of Contents Executive Summary (2011) (0)
Compressed Sensing (2014) (0)
FRAMES AND THE KADISON-SINGER PROBLEM : A REPORT FOR AIM (2008) (0)
Brigitte Forster, Peter Massopust (eds.): “Four Short Courses on Harmonic Analysis” (2011) (0)
Complexity Blowup for Solutions of the Laplace and the Diffusion Equation (2022) (0)
Sparse Representations and Efficient Sensing of Data (Dagstuhl Seminar 11051) (2011) (0)
08492 Abstracts Collection - Structured Decompositions and Efficient Algorithms (2008) (0)
Compressed Sensing: From Theory to Praxis (2017) (0)
Efficient Approximation of Solutions of Parametric PDEs by ReLU Neural Networks (2019) (0)
Non-Computability of the Pseudoinverse on Digital Computers (2022) (0)
1 Data Separation by Sparse Representations (2011) (0)
ROB volume 30 issue 5 Cover and Back matter (2012) (0)
Sparse Proteomics Analysis – a compressed sensing-based approach for feature selection and classification of high-dimensional proteomics mass spectrometry data (2017) (0)
A Human-Goal-Based Approach to the Analysis and Processing of Visibility Data (2010) (0)
Preface (2012) (0)
1 . 2 Sparsity : A Reasonable Assumption ? (2012) (0)
A generalization of the iterative soft-thresholding algorithm for non-separable penalties (2012) (0)
Spectral properties of dual frames (2013) (0)
Computability of Optimizers (2023) (0)
Innovative Approaches to the Numerical Approximation of PDEs (2020) (0)
Preface to the Special Issue of ILAS 2019: Linear Algebra without Borders, The 22nd ILAS Conference, Rio de Janeiro, Brazil, July 08–12, 2019 (2020) (0)
Shearlets: From Theory to Deep Learning (2021) (0)
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis (2013) (0)
Applied Harmonic Analysis and Data Science (2022) (0)
The Oracle of DLphi (2019) (0)
A New Perspective on `-Analysis Recovery (2019) (0)
Chapter 1 A Survey of Compressed Sensing (2014) (0)
Deep Recurrent Brain Source Imaging (2019) (0)
Mathematics in Telecommunications (2019) (0)
JMIV Special Issue Mathematics and Image Analysis (2011) (0)
Applied Harmonic Analysis and Data Processing (2019) (0)
Perturbations of fusion frames and the effect on their canonical dual (2015) (0)
Compressed Sensing: Frontmatter (2012) (0)
Memorization-Dilation: Modeling Neural Collapse Under Label Noise (2022) (0)
Sparse matrices in frame theory (2013) (0)
Dualizable Shearlet Frames and Sparse Approximation (2016) (0)
N A ] 2 3 Fe b 20 14 A ShearLab 3 D : Faithful Digital Shearlet Transforms based on Compactly Supported (2014) (0)
THE LOCAL INTEGRABILITY CONDITION FOR WAVELET (2005) (0)
Artificial Neural Networks by Martin Genzel and (2019) (0)
Guest Editorial: Mathematics and Image Analysis (2015) (0)
Chapter 1 Introduction to Finite Frame Theory (2019) (0)
Preface of the guest‐editors (2014) (0)
Name and Surname University City/State Country Position (2015) (0)
The Uniqueness Problem of Physical Law Learning (2023) (0)
A Rate-Distortion Framework for Explaining Deep Neural Network Decisions (2019) (0)
Sparse Representations, Numerical Linear Algebra, and Optimization (2014) (0)
Unveiling the Sampling Density in Non-Uniform Geometric Graphs (2022) (0)
08492 Abstracts Collection Structured Decompositions and E cient Algorithms Dagstuhl Seminar (2009) (0)
Special Issue on the Mathematical Foundations of Deep Learning in Imaging Science (2020) (0)
FRAMES AND THE KADISON-SINGER PROBLEM (0)
Parabolic Molecules (2013) (0)
Sparse and Low Rank Approximation ( 11 w 5036 ) (2011) (0)
Approximation Spaces of Deep Neural Networks (2021) (0)
2 Measure for Sparse Approximation and Optimality (2018) (0)
Chapter 1 Fusion Frames (2012) (0)
Explaining Image Classifiers with Multiscale Directional Image Representation (2022) (0)
Frame theory intersects geometry organized by (2019) (0)
Frames from first principles : Error correction , symmetry goals , and numerical efficiency (2009) (0)
08492 Executive Summary - Structured Decompositions and Efficient Algorithms (2008) (0)
Applied Harmonic Analysis meets Sparse Regularization of Operator Equations (2016) (0)
The Mathematics of Artificial Intelligence (2022) (0)
Stochastic Signal Processing in Phase Space (2019) (0)

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