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Robust learning from noisy, incomplete, high-dimensional experimental data via physically constrained symbolic regression

Nature communications, 2021-05, Vol.12 (1), p.3219-3219, Article 3219

2021

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Forecasting Fluid Flows Using the Geometry of Turbulence

Physical review letters, 2017-03, Vol.118 (11), p.114501-114501, Article 114501

2017

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Dynamical mechanism of atrial fibrillation: A topological approach

Chaos (Woodbury, N.Y.), 2017-09, Vol.27 (9), p.093936

2017

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Velocity profile in a two-layer Kolmogorov-like flow

Physics of fluids (1994), 2014-05, Vol.26 (5)

2014

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Self-similarity and the direct (enstrophy) cascade in forced two-dimensional fluid turbulence

Journal of fluid mechanics, 2024-09, Vol.995, Article A4

2024

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Ultra-low-energy defibrillation through adjoint optimization

Chaos (Woodbury, N.Y.), 2024-11, Vol.34 (11)

2024

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Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits

Physical review letters, 2020-08, Vol.125 (6), p.1-064501, Article 064501

2020

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Thermocapillary migration of interfacial droplets

Physics of fluids (1994), 2009-04, Vol.21 (4), p.042105-042105-19

2009

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The effect of phase change on stability of convective flow in a layer of volatile liquid driven by a horizontal temperature gradient

Journal of fluid mechanics, 2018-03, Vol.838, p.248-283

2018

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Robust and optimal sparse regression for nonlinear PDE models

Chaos (Woodbury, N.Y.), 2019-10, Vol.29 (10)

2019

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Bifurcations in a quasi-two-dimensional Kolmogorov-like flow

Journal of fluid mechanics, 2017-10, Vol.828, p.837-866

2017

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Using noisy or incomplete data to discover models of spatiotemporal dynamics

Physical review. E, 2020-01, Vol.101 (1-1), p.010203-010203, Article 010203

2020

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Turbulence tracks recurrent solutions

Proceedings of the National Academy of Sciences - PNAS, 2022-08, Vol.119 (34), p.e2120665119

2022

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Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER)

Journal of fluid mechanics, 2024-10, Vol.996, Article A25

2024

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Physically informed data-driven modeling of active nematics

Science advances, 2023-07, Vol.9 (27), p.eabq6120-eabq6120

2023

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Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation

Chaos (Woodbury, N.Y.), 2016-09, Vol.26 (9)

2016

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A novel subcritical transition to turbulence in Taylor–Couette flow with counter-rotating cylinders

Journal of fluid mechanics, 2020-06, Vol.892, Article A12

2020

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Robust approach for rotor mapping in cardiac tissue

Chaos (Woodbury, N.Y.), 2019-05, Vol.29 (5), p.053101

2019

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Memory effects, transient growth, and wave breakup in a model of paced atrium

Chaos (Woodbury, N.Y.), 2017-09, Vol.27 (9), p.093917

2017

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Unstable spiral waves and local Euclidean symmetry in a model of cardiac tissue

Chaos (Woodbury, N.Y.), 2015-06, Vol.25 (6), p.063116

2015

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Model-based control of cardiac alternans on a ring

Physical review. E, Statistical, nonlinear, and soft matter physics, 2009-08, Vol.80 (2), Article 021932

2009

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Exact coherent structures and chaotic dynamics in a model of cardiac tissue

Chaos (Woodbury, N.Y.), 2015-03, Vol.25 (3), p.033108

2015

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Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow

Physical review. E, 2018-08, Vol.98 (2-1), p.023105-023105, Article 023105

2018

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Continuous-time control of alternans in long Purkinje fibers

Chaos (Woodbury, N.Y.), 2014-09, Vol.24 (3), p.033124

2014

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Heteroclinic and homoclinic connections in a Kolmogorov-like flow

Physical review. E, 2019-07, Vol.100 (1-1), p.013112-013112, Article 013112

2019

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Robust learning from noisy, incomplete, high-dimensional experimental data via physically constrained symbolic regression

Forecasting Fluid Flows Using the Geometry of Turbulence

Dynamical mechanism of atrial fibrillation: A topological approach

Velocity profile in a two-layer Kolmogorov-like flow

Self-similarity and the direct (enstrophy) cascade in forced two-dimensional fluid turbulence

Ultra-low-energy defibrillation through adjoint optimization

Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits

Thermocapillary migration of interfacial droplets

The effect of phase change on stability of convective flow in a layer of volatile liquid driven by a horizontal temperature gradient

Robust and optimal sparse regression for nonlinear PDE models

Bifurcations in a quasi-two-dimensional Kolmogorov-like flow

Using noisy or incomplete data to discover models of spatiotemporal dynamics

Turbulence tracks recurrent solutions

Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER)

Physically informed data-driven modeling of active nematics

Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation

A novel subcritical transition to turbulence in Taylor–Couette flow with counter-rotating cylinders

Robust approach for rotor mapping in cardiac tissue

Memory effects, transient growth, and wave breakup in a model of paced atrium

Unstable spiral waves and local Euclidean symmetry in a model of cardiac tissue

Model-based control of cardiac alternans on a ring

Exact coherent structures and chaotic dynamics in a model of cardiac tissue

Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow

Continuous-time control of alternans in long Purkinje fibers

Heteroclinic and homoclinic connections in a Kolmogorov-like flow

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