4.5 Article

Robust data-driven discovery of governing physical laws with error bars

Related references

Note: Only part of the references are listed.
Article Mechanics

Constrained sparse Galerkin regression

Jean-Christophe Loiseau et al.

JOURNAL OF FLUID MECHANICS (2018)

Article Mathematics, Interdisciplinary Applications

EXACT RECOVERY OF CHAOTIC SYSTEMS FROM HIGHLY CORRUPTED DATA

Giang Tran et al.

MULTISCALE MODELING & SIMULATION (2017)

Article Multidisciplinary Sciences

Model selection for dynamical systems via sparse regression and information criteria

N. M. Mangan et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2017)

Article Multidisciplinary Sciences

Learning partial differential equations via data discovery and sparse optimization

Hayden Schaeffer

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2017)

Article Multidisciplinary Sciences

Data-driven discovery of partial differential equations

Samuel H. Rudy et al.

SCIENCE ADVANCES (2017)

Article Physics, Fluids & Plasmas

Sparse model selection via integral terms

Hayden Schaeffer et al.

PHYSICAL REVIEW E (2017)

Article Computer Science, Information Systems

Finding a Sparse Vector in a Subspace: Linear Sparsity Using Alternating Directions

Qing Qu et al.

IEEE TRANSACTIONS ON INFORMATION THEORY (2016)

Article Multidisciplinary Sciences

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

Steven L. Brunton et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2016)

Article Multidisciplinary Sciences

Automated adaptive inference of phenomenological dynamical models

Bryan C. Daniels et al.

NATURE COMMUNICATIONS (2015)

Article Engineering, Electrical & Electronic

Multitask Compressive Sensing

Shihao Ji et al.

IEEE TRANSACTIONS ON SIGNAL PROCESSING (2009)

Article Multidisciplinary Sciences

Distilling Free-Form Natural Laws from Experimental Data

Michael Schmidt et al.

SCIENCE (2009)

Article Engineering, Electrical & Electronic

Bayesian compressive sensing

Shihao Ji et al.

IEEE TRANSACTIONS ON SIGNAL PROCESSING (2008)

Article Engineering, Electrical & Electronic

Compressive sensing

Richard G. Baraniuk

IEEE SIGNAL PROCESSING MAGAZINE (2007)

Article Multidisciplinary Sciences

Automated reverse engineering of nonlinear dynamical systems

Josh Bongard et al.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2007)

Article Mathematics, Applied

Sparsity and incoherence in compressive sampling

Emmanuel Candes et al.

INVERSE PROBLEMS (2007)

Article Computer Science, Artificial Intelligence

Image denoising via sparse and redundant representations over learned dictionaries

Michael Elad et al.

IEEE TRANSACTIONS ON IMAGE PROCESSING (2006)

Article Mathematics, Applied

Stable signal recovery from incomplete and inaccurate measurements

Emmanuel J. Candes et al.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2006)

Article Education, Scientific Disciplines

Symmetries and conservation laws: Consequences of Noether's theorem

J Hanc et al.

AMERICAN JOURNAL OF PHYSICS (2004)

Article Automation & Control Systems

Sparse Bayesian learning and the relevance vector machine

ME Tipping

JOURNAL OF MACHINE LEARNING RESEARCH (2001)