#3826 Overall Influence

Belgian physicist and mathematician

Daubechies is the James B. Duke Professor of Mathematics at Duke University. Prior to Duke, Daubechies was William R. Kenan Jr. Professor of Mathematics at Princeton University from 2004-2011. She was the first female full professor of mathematics at the Ivy League institution. Daubechies is one of the most widely cited mathematicians, and is world renowned for her work on the mathematics of image compression, known as wavelets (an area of relevance to computer science and other disciplines in addition to mathematics). From Belgium, Daubechies received her bachelor’s in physics at the Vrije Universiteit Brussel in 1975. She received her Ph.D. from CNRS Center for Theoretical Physics in Marseille, France in 1980.

Daubechies proved an important result in wavelet theory that extended the theory to digital signal processing, a result of significant theoretic and practical significance. Her work on wavelets has made her one of the most influential mathematicians of our era. Notably, Daubechies has also been active in encouraging women to pursue studies and careers in mathematics and other cognate fields (like physics). She is co-founder of the Duke Summer Workshop in Mathematics for promising female students.

Daubechies was awarded the MacArthur Fellowship for her pivotal work in mathematics, and was elected to the American Academy of Arts and Sciences in 1993. She received the Steele Prize for Exposition for her book Ten Lectures on Wavelets in 1994. She was also the first female president of the International Mathematical Union, among other notable distinctions.

**Featured in Top Influential Mathematicians Today and Top Women in STEM**

Baroness Ingrid Daubechies is a Belgian physicist and mathematician. She is best known for her work with wavelets in image compression.Daubechies is recognized for her study of the mathematical methods that enhance image-compression technology. She is a member of the National Academy of Engineering, the National Academy of Sciences and the American Academy of Arts and Sciences. She is also a 1992 MacArthur Fellow. She also served on the Mathematical Sciences jury for the Infosys Prize from 2011 to 2013.

Source: Wikipedia- Ten Lectures on Wavelets
- Orthonormal bases of compactly supported wavelets
- Biorthogonal bases of compactly supported wavelets
- Factoring wavelet transforms into lifting steps
- Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool
- Painless nonorthogonal expansions
- Iteratively reweighted least squares minimization for sparse recovery
- Wavelet Transforms That Map Integers to Integers
- Wavelets on the Interval and Fast Wavelet Transforms
- Framelets: MRA-based constructions of wavelet frames
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- Orthonormal Bases of Compactly Supported Wavelets II. Variations on a Theme
- Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
- Sets of matrices all infinite products of which converge
- Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints
- Non-separable bidimensional wavelet bases
- Image processing for artist identification
- A Simple Wilson Orthonormal Basis with Exponential Decay
- Tomographic inversion using ℓ1-norm regularization of wavelet coefficients
- Gabor Time-Frequency Lattices and the Wexler-Raz Identity
- Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order
- A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
- Comparing Dirichlet normal surface energy of tooth crowns, a new technique of molar shape quantification for dietary inference, with previous methods in isolation and in combination
- An uncertainty principle for fermions with generalized kinetic energy
- One-electron relativistic molecules with Coulomb interaction
- Iteratively solving linear inverse problems under general convex constraints
- Regularity of refinable function vectors
- Tree Approximation and Optimal Encoding
- Wavelets on irregular point sets
- ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform
- Herpesviruses carrying a Brainbow cassette reveal replication and expression of limited numbers of incoming genomes
- A new technique to estimate the regularity of refinable functions
- Frames in the bargmann space of entire functions
- Harmonic Analysis of the space BV
- A New Fully Automated Approach for Aligning and Comparing Shapes
- Quantum‐mechanical path integrals with Wiener measure for all polynomial Hamiltonians. II
- ONE OR TWO FREQUENCIES? THE SYNCHROSQUEEZING ANSWERS
- Quantum Mechanical Path Integrals with Wiener Measures for all Polynomial Hamiltonians
- Corrigendum/addendum to: Sets of matrices all infinite products of which converge
- The Canonical Dual Frame of a Wavelet Frame
- Symmetry factored embedding and distance
- A Bayesian Nonparametric Approach to Image Super-Resolution
- Single-Bit Oversampled A/D Conversion With Exponential Accuracy in the Bit Rate
- Normal Multiresolution Approximation of Curves
- On the distributions corresponding to bounded operators in the Weyl quantization
- ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS
- Iteratively Re-weighted Least Squares minimization: Proof of faster than linear rate for sparse recovery
- A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation
- Orthonormal Bases of Compactly Supported Wavelets III. Better Frequency Resolution
- Capturing Ridge Functions in High Dimensions from Point Queries
- Wiener measures for path integrals with affine kinematic variables
- Detection of forgery in paintings using supervised learning
- Fundamental Papers in Wavelet Theory
- Phase retrieval in infinite-dimensional Hilbert spaces
- Evaluating Physiological Dynamics via Synchrosqueezing: Prediction of Ventilator Weaning
- Wavelet transforms and orthonormal wavelet bases
- Theoretical and experimental analysis of a randomized algorithm for Sparse Fourier transform analysis
- Continuity statements and counterintuitive examples in connection with Weyl quantization
- A Nonlinear Squeezing of the Continuous Wavelet Transform Based on Auditory Nerve Models
- Commutation for Irregular Subdivision
- Ten Lectures on Wavelets
- Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation
- One electron molecules with relativistic kinetic energy: Properties of the discrete spectrum
- Measures for Path Integrals
- Symmetry factored embedding and distance
- Coherent states and projective representation of the linear canonical transformations
- Restoration of X-ray fluorescence images of hidden paintings
- Sparsity-enforcing regularisation and ISTA revisited
- Multi-Modal Dictionary Learning for Image Separation With Application in Art Investigation
- A characterization of subsystems in physics
- Factoring wavelet transforms into lifting steps
- A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets
- How does truncation of the mask affect a refinable function?
- Stable Phase Retrieval in Infinite Dimensions
- Removal of Canvas Patterns in Digital Acquisitions of Paintings
- Development and Assessment of Fully Automated and Globally Transitive Geometric Morphometric Methods, With Application to a Biological Comparative Dataset With High Interspecific Variation
- Adaptive Gabor transforms
- Digital Image Processing of The Ghent Altarpiece: Supporting the painting's study and conservation treatment
- A Sparse Spectral Method for Homogenization Multiscale Problems
- Iteratively Re-weighted Least Squares Minimization for Sparse Recovery
- Continuous Procrustes Distance Between Two Surfaces
- Automated J Wave Detection from Digital 12-lead Electrocardiogram
- Wavelet-based image decomposition by variational functionals
- Analysis of boosting algorithms using the smooth margin function
- Boosting Based on a Smooth Margin
- Virtual Restoration of the Ghent Altarpiece Using Crack Detection and Inpainting
- Constructing measures for path integrals
- Reconstructing Real-Valued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames
- On Some Iterative Concepts for Image Restoration
- The Golden Ratio Encoder
- Ten Lectures on Wavelets.
- Bayesian crack detection in ultra high resolution multimodal images of paintings
- Digital cradle removal in X-ray images of art paintings
- Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform
- Electrocardiographic J Wave and Cardiovascular Outcomes in the General Population (from the Atherosclerosis Risk In Communities Study)
- Precise statements of convergence for AdaBoost and arc-gv
- A Deterministic Analysis of Decimation for Sigma-Delta Quantization of Bandlimited Functions
- ariaDNE: A robustly implemented algorithm for Dirichlet energy of the normal
- Gaussian Process Landmarking for Three-Dimensional Geometric Morphometrics
- How Smooth Is the Smoothest Function in a Given Refinable Space
- Painting analysis using wavelets and probabilistic topic models
- X-ray image separation via coupled dictionary learning
- Recursive Diffeomorphism-Based Regression for Shape Functions
- Gaussian Process Landmarking on Manifolds
- Optimal Stochastic Encoding and Approximation Schemes using Weyl—Heisenberg Sets
- Object recognition in art drawings: Transfer of a neural network
- Measures for more quadratic path integrals
- Discrete sets of coherent states and their use in signal analysis
- On the thermodynamic formalism for multifractal functions
- ORTHONORMAL BASES OF COHERENT STATES: THE CANONICAL CASE AND THE ax+b-GROUP
- Variational Bayesian Learning of Sparse Representations and Its Application in Functional Neuroimaging
- A Detailed Study of the Attachment Strategies of New Autonomous Systems in the AS Connectivity Graph
- Adaptive data analysis: theory and applications
- LDMNet: Low Dimensional Manifold Regularized Neural Networks
- VII.3 Wavelets and Applications
- Ten Lectures on Wavelets
- Opening Address: President of IMU
- An application of hyperdifferential operators to holomorphic quantization
- From the original framer to present-day time-frequency and time-scale frames
- Reconstructing dietary ecology of extinct strepsirrhines (Primates, Mammalia) with new approaches for characterizing and analyzing tooth shape
- Harmonic analysis, wavelets and applications
- Uncovering elements of style
- <title>Recent results in wavelet applications</title>
- Removing Cradle Artifacts in X-Ray Images of Paintings
- Stop Memorizing: A Data-Dependent Regularization Framework for Intrinsic Pattern Learning
- Wavelets
- Wiener measures for quantum mechanical path integrals
- One-Electron Relativistic Molecules with Coulomb Interaction
- Wavelets and Other Phase Space Localization Methods
- One-Electron Relativistic Molecules with Coulomb Interaction
- One-Electron Relativistic Molecules with Coulomb Interaction
- One-Electron Relativistic Molecules with Coulomb Interaction
- Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling
- Relativistic Molecules with Coulomb Interaction
- Preface
- An iteratively reweighted least squares algorithm for sparse regularization
- Women's History Month
- Robust and resource efficient identification of shallow neural networks by fewest samples
- Dietary adaptation in lemurs, analyzed using new approaches to describing functional properties of tooth shape
- Development and assessment of fully automated and globally transitive geometric morphometric methods, with application to a biological comparative dataset with high interspecific variation
- A Connected Auto-Encoders Based Approach for Image Separation with Side Information: With Applications to Art Investigation
- Simpler Alternatives to Information Theoretic Similarity Metrics for Multimodal Image Alignment
- Expression of Fractals Through Neural Network Functions
- Erratum: A Simple Wilson Orthonormal Basis with Exponential Decay
- The work of Yves Meyer
- AFFINE COHERENT STATES AND WAVELETS
- Insights from macroevolutionary modelling and ancestral state reconstruction into the radiation and historical dietary ecology of Lemuriformes (Primates, Mammalia)
- Insights from macroevolutionary modelling and ancestral state reconstruction into the radiation and historical dietary ecology of Lemuriformes (Primates, Mammalia)
- Tools for Time-Frequency Analysis
- Building Mathematical Tools to Find Needles in Haystacks
- Applied Harmonic Analysis and Sparse Approximation
- Applied Harmonic Analysis and Sparse Approximation
- Applied Harmonic Analysis and Data Processing
- Cradle Removal in X-Ray Images of Panel Paintings

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