D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 58 Citations 14,702 253 World Ranking 762 National Ranking 334

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Artificial intelligence
  • Statistics

Nonlinear system, Dynamical systems theory, Optics, Artificial intelligence and Dynamic mode decomposition are his primary areas of study. His Nonlinear system research includes themes of Linear system, Linear model, Operator theory, Applied mathematics and Series. J. Nathan Kutz has researched Dynamical systems theory in several fields, including Basis, Theoretical computer science, Dynamical system, Model selection and Complex system.

His studies examine the connections between Complex system and genetics, as well as such issues in Data-driven, with regards to Compressed sensing and Data collection. His Artificial intelligence study combines topics from a wide range of disciplines, such as Turbulence and Machine learning. The study incorporates disciplines such as Variable, Projection method, SIMPLE algorithm, Discrete Fourier transform and Algorithm in addition to Dynamic mode decomposition.

His most cited work include:

  • Discovering governing equations from data by sparse identification of nonlinear dynamical systems (1065 citations)
  • On dynamic mode decomposition: Theory and applications (712 citations)
  • Data-driven discovery of partial differential equations. (444 citations)

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

J. Nathan Kutz mainly focuses on Optics, Nonlinear system, Laser, Algorithm and Dynamic mode decomposition. His research brings together the fields of Optoelectronics and Optics. He interconnects Dynamical systems theory, Operator, Dispersion, Pulse and Applied mathematics in the investigation of issues within Nonlinear system.

His work deals with themes such as Theoretical computer science and Artificial intelligence, which intersect with Dynamical systems theory. His Laser research is multidisciplinary, incorporating elements of Instability and Pulse shaping. His Algorithm study incorporates themes from Matrix decomposition, Matrix and Dimensionality reduction.

He most often published in these fields:

  • Optics (25.19%)
  • Nonlinear system (24.42%)
  • Laser (14.62%)

What were the highlights of his more recent work (between 2019-2021)?

  • Nonlinear system (24.42%)
  • Dynamical systems theory (13.08%)
  • Dynamic mode decomposition (13.85%)

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

J. Nathan Kutz spends much of his time researching Nonlinear system, Dynamical systems theory, Dynamic mode decomposition, Algorithm and Artificial intelligence. His studies deal with areas such as Operator, Fourier transform, Applied mathematics, Dimensionality reduction and System identification as well as Nonlinear system. His Dynamical systems theory research integrates issues from Range, Theoretical computer science, Attractor and Parametric statistics.

His Dynamic mode decomposition study integrates concerns from other disciplines, such as Basis, Bilinear interpolation, Mathematical analysis, Singular value decomposition and Statistical physics. His Algorithm study combines topics in areas such as Matrix decomposition, Sampling, Model selection and Identification. J. Nathan Kutz combines subjects such as Machine learning and Pattern recognition with his study of Artificial intelligence.

Between 2019 and 2021, his most popular works were:

  • Randomized CP Tensor Decomposition (23 citations)
  • Shallow neural networks for fluid flow reconstruction with limited sensors. (17 citations)
  • Mode-locked rotating detonation waves: Experiments and a model equation. (17 citations)

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

  • Quantum mechanics
  • Artificial intelligence
  • Statistics

The scientist’s investigation covers issues in Nonlinear system, Algorithm, Artificial intelligence, Dynamic mode decomposition and Dynamical systems theory. His Nonlinear system research is multidisciplinary, relying on both Superposition principle, Dynamical system, Connection, Applied mathematics and System identification. His study in Algorithm is interdisciplinary in nature, drawing from both Identification, Partial differential equation, Model selection, Unsupervised learning and Dimensionality reduction.

His Artificial intelligence research incorporates themes from Multigrid method and Pattern recognition. His research investigates the connection between Dynamic mode decomposition and topics such as Statistical physics that intersect with problems in Observable, Operator theory and Falling Objects. His Dynamical systems theory research incorporates elements of Interpretability, Set, Outlier and Parametric statistics.

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.

Best Publications

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

Steven L. Brunton;Joshua L. Proctor;J. Nathan Kutz.
Proceedings of the National Academy of Sciences of the United States of America (2016)

1196 Citations

On dynamic mode decomposition: Theory and applications

Jonathan H. Tu;Clarence Worth Rowley;Dirk M. Luchtenburg;Steven L. Brunton.
ACM Journal of Computer Documentation (2014)

848 Citations

Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems

J. Nathan Kutz;Steven L. Brunton;Bingni W. Brunton;Joshua L. Proctor.
(2016)

560 Citations

Data-driven discovery of partial differential equations.

Samuel H. Rudy;Steven L. Brunton;Joshua L. Proctor;J. Nathan Kutz.
Science Advances (2017)

514 Citations

Dynamic Mode Decomposition with Control

Joshua L. Proctor;Steven L. Brunton;J. Nathan Kutz.
Siam Journal on Applied Dynamical Systems (2016)

365 Citations

Bose-Einstein condensates in standing waves: the cubic nonlinear Schrödinger equation with a periodic potential.

Jared C. Bronski;Lincoln D. Carr;Bernard Deconinck;J. Nathan Kutz.
Physical Review Letters (2001)

326 Citations

Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control

Steven L. Brunton;J. Nathan Kutz.
(2019)

312 Citations

Deep learning in fluid dynamics

J. Nathan Kutz.
Journal of Fluid Mechanics (2017)

312 Citations

Deep learning for universal linear embeddings of nonlinear dynamics.

Bethany Lusch;J. Nathan Kutz;Steven L. Brunton.
Nature Communications (2018)

303 Citations

Data-Driven Modeling & Scientific Computation: Methods for Complex Systems & Big Data

J. Nathan Kutz.
(2013)

286 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing J. Nathan Kutz

Steven L. Brunton

Steven L. Brunton

University of Washington

Publications: 63

Sergei K. Turitsyn

Sergei K. Turitsyn

Aston University

Publications: 52

Boris A. Malomed

Boris A. Malomed

Tel Aviv University

Publications: 35

David R. Smith

David R. Smith

Duke University

Publications: 33

Bernd R. Noack

Bernd R. Noack

Harbin Institute of Technology

Publications: 30

Christof Schütte

Christof Schütte

Zuse Institute Berlin

Publications: 28

Ioannis G. Kevrekidis

Ioannis G. Kevrekidis

Johns Hopkins University

Publications: 27

George Em Karniadakis

George Em Karniadakis

Brown University

Publications: 26

Clarence W. Rowley

Clarence W. Rowley

Princeton University

Publications: 26

Panayotis G. Kevrekidis

Panayotis G. Kevrekidis

University of Massachusetts Amherst

Publications: 24

Francisco Chinesta

Francisco Chinesta

ESI (France)

Publications: 22

Elías Cueto

Elías Cueto

University of Zaragoza

Publications: 21

Gianluigi Rozza

Gianluigi Rozza

International School for Advanced Studies

Publications: 21

Karen Willcox

Karen Willcox

The University of Texas at Austin

Publications: 20

Yaroslav V. Kartashov

Yaroslav V. Kartashov

ICFO – The Institute of Photonic Sciences

Publications: 19

Prasanta K. Panigrahi

Prasanta K. Panigrahi

Indian Institute of Science Education and Research Kolkata

Publications: 18

Something went wrong. Please try again later.