Gitta Kutyniok

Orcid: 0000-0001-9738-2487

Affiliations:
  • LMU Munich, Department of Mathematics, Germany
  • TU Berlin, Institute of Mathematics, Germany (former)
  • University of Osnabrück, Institute of Mathematics, Germany (former)
  • Justus Liebig University of Giessen, Institute of Mathematics, Germany (former)
  • University of Paderborn, Department of Mathematics, Germany (PhD 2000)


According to our database1, Gitta Kutyniok authored at least 123 papers between 2005 and 2024.

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Bibliography

2024
Computability of Optimizers.
IEEE Trans. Inf. Theory, April, 2024

Weisfeiler and Leman Go Loopy: A New Hierarchy for Graph Representational Learning.
CoRR, 2024

Error Estimation for Physics-informed Neural Networks Approximating Semilinear Wave Equations.
CoRR, 2024

Mathematical Algorithm Design for Deep Learning under Societal and Judicial Constraints: The Algorithmic Transparency Requirement.
CoRR, 2024

2023
Real-Time Outdoor Localization Using Radio Maps: A Deep Learning Approach.
IEEE Trans. Wirel. Commun., December, 2023

Limitations of Deep Learning for Inverse Problems on Digital Hardware.
IEEE Trans. Inf. Theory, December, 2023

Learning Interpretable Queries for Explainable Image Classification with Information Pursuit.
CoRR, 2023

SuperHF: Supervised Iterative Learning from Human Feedback.
CoRR, 2023

Learning-based adaption of robotic friction models.
CoRR, 2023

ParFam - Symbolic Regression Based on Continuous Global Optimization.
CoRR, 2023

Expressivity of Spiking Neural Networks.
CoRR, 2023

PoissonNet: Resolution-Agnostic 3D Shape Reconstruction using Fourier Neural Operators.
CoRR, 2023

Reliable AI: Does the Next Generation Require Quantum Computing?
CoRR, 2023

On the Interplay of Subset Selection and Informed Graph Neural Networks.
CoRR, 2023

Learning optimal controllers: a dynamical motion primitive approach.
CoRR, 2023

Sumformer: Universal Approximation for Efficient Transformers.
Proceedings of the Topological, 2023

Neural (Tangent Kernel) Collapse.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

A Fractional Graph Laplacian Approach to Oversmoothing.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

Overview of the Urban Wireless Localization Competition.
Proceedings of the 33rd IEEE International Workshop on Machine Learning for Signal Processing, 2023

Unveiling the sampling density in non-uniform geometric graphs.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

Memorization-Dilation: Modeling Neural Collapse Under Noise.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

The First Pathloss Radio Map Prediction Challenge.
Proceedings of the IEEE International Conference on Acoustics, 2023

The Uniqueness Problem of Physical Law Learning.
Proceedings of the IEEE International Conference on Acoustics, 2023

Explaining Image Classifiers with Multiscale Directional Image Representation.
Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2023

2022
Dataset of Pathloss and ToA Radio Maps with Localization Application.
Dataset, December, 2022

Dataset of Pathloss and ToA Radio Maps With Localization Application.
CoRR, 2022

Non-Computability of the Pseudoinverse on Digital Computers.
CoRR, 2022

Complexity Blowup for Solutions of the Laplace and the Diffusion Equation.
CoRR, 2022

Well-definedness of Physical Law Learning: The Uniqueness Problem.
CoRR, 2022

The Mathematics of Artificial Intelligence.
CoRR, 2022

OOD Link Prediction Generalization Capabilities of Message-Passing GNNs in Larger Test Graphs.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Generalization Analysis of Message Passing Neural Networks on Large Random Graphs.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Graph Scattering beyond Wavelet Shackles.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Neural Tangent Kernel Beyond the Infinite-Width Limit: Effects of Depth and Initialization.
Proceedings of the International Conference on Machine Learning, 2022

LocUNet: Fast Urban Positioning Using Radio Maps and Deep Learning.
Proceedings of the IEEE International Conference on Acoustics, 2022

Cartoon Explanations of Image Classifiers.
Proceedings of the Computer Vision - ECCV 2022, 2022

2021
RadioUNet: Fast Radio Map Estimation With Convolutional Neural Networks.
IEEE Trans. Wirel. Commun., 2021

Unification of sparse Bayesian learning algorithms for electromagnetic brain imaging with the majorization minimization framework.
NeuroImage, 2021

Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks.
J. Sci. Comput., 2021

Transferability of Spectral Graph Convolutional Neural Networks.
J. Mach. Learn. Res., 2021

The Computational Complexity of Understanding Binary Classifier Decisions.
J. Artif. Intell. Res., 2021

Transferability of Graph Neural Networks: an Extended Graphon Approach.
CoRR, 2021

Deep Microlocal Reconstruction for Limited-Angle Tomography.
CoRR, 2021

The Modern Mathematics of Deep Learning.
CoRR, 2021

Detecting failure modes in image reconstructions with interval neural network uncertainty.
Int. J. Comput. Assist. Radiol. Surg., 2021

Analyzing Finite Neural Networks: Can We Trust Neural Tangent Kernel Theory?
Proceedings of the Mathematical and Scientific Machine Learning, 2021

2020
Special Issue on the Mathematical Foundations of Deep Learning in Imaging Science.
J. Math. Imaging Vis., 2020

Quasi Monte Carlo Time-Frequency Analysis.
CoRR, 2020

Expressivity of Deep Neural Networks.
CoRR, 2020

In-Distribution Interpretability for Challenging Modalities.
CoRR, 2020

The Restricted Isometry of ReLU Networks: Generalization through Norm Concentration.
CoRR, 2020

Real-time Localization Using Radio Maps.
CoRR, 2020

tfShearlab: The TensorFlow Digital Shearlet Transform for Deep Learning.
CoRR, 2020

Interval Neural Networks: Uncertainty Scores.
CoRR, 2020

Tensor network approaches for learning non-linear dynamical laws.
CoRR, 2020

Anisotropic multiscale systems on bounded domains.
Adv. Comput. Math., 2020

A Rate-Distortion Framework for Explaining Black-Box Model Decisions.
Proceedings of the xxAI - Beyond Explainable AI, 2020

Pathloss Prediction using Deep Learning with Applications to Cellular Optimization and Efficient D2D Link Scheduling.
Proceedings of the 2020 IEEE International Conference on Acoustics, 2020

2019
Optimal Approximation with Sparsely Connected Deep Neural Networks.
SIAM J. Math. Data Sci., 2019

Extraction of Digital Wavefront Sets Using Applied Harmonic Analysis and Deep Neural Networks.
SIAM J. Imaging Sci., 2019

Shearlets as Feature Extractor for Semantic Edge Detection: The Model-Based and Data-Driven Realm.
CoRR, 2019

Transferability of Spectral Graph Convolutional Neural Networks.
CoRR, 2019

A Rate-Distortion Framework for Explaining Neural Network Decisions.
CoRR, 2019

The Computational Complexity of Understanding Network Decisions.
CoRR, 2019

Approximation spaces of deep neural networks.
CoRR, 2019

A Theoretical Analysis of Deep Neural Networks and Parametric PDEs.
CoRR, 2019

Error bounds for approximations with deep ReLU neural networks in $W^{s, p}$ norms.
CoRR, 2019

On the Transferability of Spectral Graph Filters.
CoRR, 2019

The Oracle of DLphi.
CoRR, 2019

2018
A Haar wavelet-based perceptual similarity index for image quality assessment.
Signal Process. Image Commun., 2018

Optimal Compressive Imaging of Fourier Data.
SIAM J. Imaging Sci., 2018

Adaptive anisotropic Petrov-Galerkin methods for first order transport equations.
J. Comput. Appl. Math., 2018

Learning The Invisible: A Hybrid Deep Learning-Shearlet Framework for Limited Angle Computed Tomography.
CoRR, 2018

Hierarchical Sparse Channel Estimation for Massive MIMO.
Proceedings of the 22nd International ITG Workshop on Smart Antennas, 2018

2017
JMIV Special Issue Mathematics and Image Analysis.
J. Math. Imaging Vis., 2017

$\ell^1$-Analysis Minimization and Generalized (Co-)Sparsity: When Does Recovery Succeed?
CoRR, 2017

Shearlet-based compressed sensing for fast 3D cardiac MR imaging using iterative reweighting.
CoRR, 2017

Sparse Proteomics Analysis - a compressed sensing-based approach for feature selection and classification of high-dimensional proteomics mass spectrometry data.
BMC Bioinform., 2017

2016
ShearLab 3D: Faithful Digital Shearlet Transforms Based on Compactly Supported Shearlets.
ACM Trans. Math. Softw., 2016

A Mathematical Framework for Feature Selection from Real-World Data with Non-Linear Observations.
CoRR, 2016

2015
Measures of Scalability.
IEEE Trans. Inf. Theory, 2015

Image interpolation using shearlet based iterative refinement.
Signal Process. Image Commun., 2015

Linear Stable Sampling Rate: Optimality of 2D Wavelet Reconstructions from Fourier Measurements.
SIAM J. Math. Anal., 2015

Guest Editorial: Mathematics and Image Analysis.
J. Math. Imaging Vis., 2015

2014
Asymptotic Analysis of Inpainting via Universal Shearlet Systems.
SIAM J. Imaging Sci., 2014

Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis.
J. Math. Imaging Vis., 2014

Parabolic Molecules.
Found. Comput. Math., 2014

Sparse matrices in frame theory.
Comput. Stat., 2014

2013
Clustered Sparsity and Separation of Cartoon and Texture.
SIAM J. Imaging Sci., 2013

Scalable Frames and Convex Geometry.
CoRR, 2013

Image interpolation using shearlet based sparsity priors.
Proceedings of the IEEE International Conference on Image Processing, 2013

2012
Optimally Sparse Approximations of 3D Functions by Compactly Supported Shearlet Frames.
SIAM J. Math. Anal., 2012

ShearLab: A Rational Design of a Digital Parabolic Scaling Algorithm.
SIAM J. Imaging Sci., 2012

Geometric Separation by Single-Pass Alternating Thresholding
CoRR, 2012

Scalable Frames
CoRR, 2012

Compressed Sensing: Theory and Applications
CoRR, 2012

Data separation by sparse representations.
Proceedings of the Compressed Sensing, 2012

Introduction to compressed sensing.
Proceedings of the Compressed Sensing, 2012

2011
Optimally Sparse Frames.
IEEE Trans. Inf. Theory, 2011

Sparse Recovery From Combined Fusion Frame Measurements.
IEEE Trans. Inf. Theory, 2011

Adaptive Multiresolution Analysis Structures and Shearlet Systems.
SIAM J. Numer. Anal., 2011

Compactly supported shearlets are optimally sparse.
J. Approx. Theory, 2011

Sparse Representations and Efficient Sensing of Data (Dagstuhl Seminar 11051).
Dagstuhl Reports, 2011

Digital Shearlet Transform
CoRR, 2011

Shearlets and Optimally Sparse Approximations
CoRR, 2011

Data Separation by Sparse Representations
CoRR, 2011

Sparsity Equivalence of Anisotropic Decompositions
CoRR, 2011

Sparse fusion frames: existence and construction.
Adv. Comput. Math., 2011

2010
Microlocal Analysis of the Geometric Separation Problem
CoRR, 2010

Average case analysis of sparse recovery from combined fusion frame measurements.
Proceedings of the 44th Annual Conference on Information Sciences and Systems, 2010

Upper and lower redundancy of finite frames.
Proceedings of the 44th Annual Conference on Information Sciences and Systems, 2010

Image Separation Using Wavelets and Shearlets.
Proceedings of the Curves and Surfaces, 2010

2009
Adaptive Directional Subdivision Schemes and Shearlet Multiresolution Analysis.
SIAM J. Math. Anal., 2009

A quantitative notion of redundancy for finite frames.
CoRR, 2009

2008
The Uncertainty Principle Associated with the Continuous Shearlet Transform.
Int. J. Wavelets Multiresolution Inf. Process., 2008

08492 Executive Summary - Structured Decompositions and Efficient Algorithms.
Proceedings of the Structured Decompositions and Efficient Algorithms, 30.11. - 05.12.2008, 2008

08492 Abstracts Collection - Structured Decompositions and Efficient Algorithms.
Proceedings of the Structured Decompositions and Efficient Algorithms, 30.11. - 05.12.2008, 2008

Fusion frames and robust dimension reduction.
Proceedings of the 42nd Annual Conference on Information Sciences and Systems, 2008

Analysis of 1 minimization in the Geometric Separation Problem.
Proceedings of the 42nd Annual Conference on Information Sciences and Systems, 2008

2007
The Homogeneous Approximation Property for wavelet frames.
J. Approx. Theory, 2007

A generalization of Gram-Schmidt orthogonalization generating all Parseval frames.
Adv. Comput. Math., 2007

Affine Density in Wavelet Analysis.
Lecture Notes in Mathematics 1914, Springer, ISBN: 978-3-540-72916-7, 2007

2005
Wilson Bases for General Time-Frequency Lattices.
SIAM J. Math. Anal., 2005


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