H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 63 Citations 83,888 134 World Ranking 203 National Ranking 107
Computer Science H-index 61 Citations 88,348 158 World Ranking 1412 National Ranking 800

Research.com Recognitions

Awards & Achievements

2019 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics

2015 - Fellow, The World Academy of Sciences

2015 - Member of Academia Europaea

2015 - Member of the National Academy of Engineering For contributions to the mathematics and applications of wavelets.

2013 - Fellow of the American Mathematical Society

2012 - BBVA Foundation Frontiers of Knowledge Award

2011 - Benjamin Franklin Medal, Franklin Institute

2011 - Fellow of the American Association for the Advancement of Science (AAAS)

2011 - Jack S. Kilby Signal Processing Medal For pioneering contributions to the theory and applications of wavelets and filter banks.

2011 - John von Neumann Lecturer

2011 - Steele Prize for Seminal Contribution to Research

2010 - Fellow of John Simon Guggenheim Memorial Foundation

2009 - SIAM Fellow For contributions to the theory of wavelets and computational harmonic analysis.

1999 - Royal Netherlands Academy of Arts and Sciences

1998 - Member of the National Academy of Sciences

1994 - Steele Prize for Mathematical Exposition

1993 - Fellow of the American Academy of Arts and Sciences

1992 - Fellow of the MacArthur Foundation

Overview

What is she best known for?

The fields of study she is best known for:

  • Statistics
  • Mathematical analysis
  • Artificial intelligence

Her primary areas of investigation include Wavelet, Algorithm, Mathematical analysis, Wavelet transform and Orthonormal basis. Her study in Wavelet is interdisciplinary in nature, drawing from both Classification of discontinuities and Applied mathematics. Her Algorithm research is multidisciplinary, incorporating perspectives in Continuous signal, Analog image processing, Multidimensional signal processing and Analog signal.

Ingrid Daubechies studies Discrete wavelet transform, a branch of Wavelet transform. Ingrid Daubechies has researched Orthonormal basis in several fields, including Penalty method, Quadratic equation, Exponential decay, Thresholding and Simple. Her Biorthogonal wavelet research includes elements of Pure mathematics and Legendre wavelet.

Her most cited work include:

  • Ten Lectures on Wavelets (15760 citations)
  • Orthonormal bases of compactly supported wavelets (7230 citations)
  • The wavelet transform, time-frequency localization and signal analysis (5011 citations)

What are the main themes of her work throughout her whole career to date?

Wavelet, Algorithm, Artificial intelligence, Mathematical analysis and Wavelet transform are her primary areas of study. Her research integrates issues of Orthonormal basis and Mathematical optimization in her study of Wavelet. Her Algorithm study which covers Inverse problem that intersects with Norm.

Her work in Artificial intelligence tackles topics such as Painting which are related to areas like Image processing. The various areas that Ingrid Daubechies examines in her Mathematical analysis study include Refinable function, Function, Path integral formulation and Pure mathematics. Her studies in Second-generation wavelet transform and Harmonic wavelet transform are all subfields of Discrete wavelet transform research.

She most often published in these fields:

  • Wavelet (25.75%)
  • Algorithm (24.75%)
  • Artificial intelligence (16.39%)

What were the highlights of her more recent work (between 2012-2021)?

  • Artificial intelligence (16.39%)
  • Algorithm (24.75%)
  • Pattern recognition (7.36%)

In recent papers she was focusing on the following fields of study:

Her main research concerns Artificial intelligence, Algorithm, Pattern recognition, Wavelet and Painting. Her study on Source separation, Artificial neural network and Image is often connected to Separation process as part of broader study in Artificial intelligence. Ingrid Daubechies works in the field of Algorithm, focusing on Regularization in particular.

Her Wavelet research integrates issues from Orthonormal basis, Lambda, Reconstruction problem, Sign and Fourier analysis. Her work is dedicated to discovering how Orthonormal basis, Subspace topology are connected with Discrete mathematics and other disciplines. Her Painting research is multidisciplinary, incorporating elements of X ray image and Computer graphics.

Between 2012 and 2021, her most popular works were:

  • A Nonlinear Squeezing of the Continuous Wavelet Transform Based on Auditory Nerve Models (120 citations)
  • ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform (87 citations)
  • A New Fully Automated Approach for Aligning and Comparing Shapes (73 citations)

In her most recent research, the most cited papers focused on:

  • Artificial intelligence
  • Statistics
  • Mathematical analysis

Her primary scientific interests are in Artificial intelligence, Algorithm, Painting, Pattern recognition and Wavelet. Her work on Image restoration, Visualization and Source separation as part of general Artificial intelligence study is frequently linked to Component, bridging the gap between disciplines. As a member of one scientific family, she mostly works in the field of Algorithm, focusing on Mathematical analysis and, on occasion, Representation and Similarity.

Ingrid Daubechies interconnects SAINT, Salient, Computer graphics and Computer vision in the investigation of issues within Painting. Her work deals with themes such as Nonparametric statistics, Stochastic optimization, Bayes' theorem, Benchmark and Gibbs sampling, which intersect with Pattern recognition. She studies Wavelet, namely Wavelet transform.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Ten Lectures on Wavelets

Ingrid Daubechies.
(1992)

33439 Citations

Orthonormal bases of compactly supported wavelets

Ingrid Daubechies.
Communications on Pure and Applied Mathematics (1988)

12183 Citations

The wavelet transform, time-frequency localization and signal analysis

I. Daubechies.
IEEE Transactions on Information Theory (1990)

8224 Citations

Image coding using wavelet transform

M. Antonini;M. Barlaud;P. Mathieu;I. Daubechies.
IEEE Transactions on Image Processing (1992)

5650 Citations

An Iterative Thresholding Algorithm for Linear Inverse Problems with a Sparsity Constraint

Ingrid Daubechies;Michel Defrise;Christine De Mol.
Communications on Pure and Applied Mathematics (2004)

4825 Citations

Biorthogonal bases of compactly supported wavelets

A. Cohen;Ingrid Daubechies;J.-C. Feauveau.
Communications on Pure and Applied Mathematics (1992)

4052 Citations

Factoring wavelet transforms into lifting steps

Ingrid Daubechies;Wim Sweldens.
Journal of Fourier Analysis and Applications (1998)

3822 Citations

PAINLESS NONORTHOGONAL EXPANSIONS

Ingrid Daubechies;A. Grossmann;Y. Meyer.
Journal of Mathematical Physics (1986)

2006 Citations

Wavelet Transforms That Map Integers to Integers

A.R. Calderbank;Ingrid Daubechies;Wim Sweldens;Boon-Lock Yeo.
Applied and Computational Harmonic Analysis (1998)

1812 Citations

Wavelets on the Interval and Fast Wavelet Transforms

Albert Cohen;Ingrid Daubechies;Pierre Vial.
Applied and Computational Harmonic Analysis (1993)

1334 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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