activity
20132025
most citedCompressive sensing and low-rank libraries for classification of bifurcation regimes in nonlinear dynamical systems

129 citations · 192 across the 9 of their papers we have counts for

collaborators

11 papers

physics.flu-dyn2025

The HydroGym Reinforcement Learning Platform for Fluid Dynamics

Christian Lagemann, Sajeda Mokbel, Miro Gondrum +18

Modeling and controlling fluids is critical across science and engineering. Effective flow control can increase lift, reduce drag, enhance mixing, and attenuate noise, potentially…

cs.CV2024

Computed tomography using meta-optics

Maksym Zhelyeznuyakov, Johannes E. Fröch, Shane Colburn +2

Computer vision tasks require processing large amounts of data to perform image classification, segmentation, and feature extraction. Optical preprocessors can potentially reduce t…

physics.flu-dyn2024★ 5 cited

A deep learning approach to wall-shear stress quantification: From numerical training to zero-shot experimental application

Esther Lagemann, Julia Roeb, Steven L. Brunton +1

The accurate quantification of wall-shear stress dynamics is of substantial importance for various applications in fundamental and applied research, spanning areas from human healt…

physics.optics2023

Statistics dependent spectral properties of random arrays of particles

Romil Audhkhasi, Maksym Zhelyeznyakov, Steven Brunton +1

The ability to tailor the spectral response of photonic devices is paramount to the advancement of a broad range of applications. The vast design space offered by disordered optica…

physics.optics2022★ 3 cited

Large area optimization of meta-lens via data-free machine learning

Maksym V. Zhelyeznyakov, Johannes E. Froch, Anna Wirth-Singh +4

Sub-wavelength diffractive optics meta-optics present a multi-scale optical system, where the behavior of constituent sub-wavelength scatterers, or meta-atoms, need to be modelled…

physics.comp-ph2019★ 1 cited

A unified sparse optimization framework to learn parsimonious physics-informed models from data

Kathleen Champion, Peng Zheng, Aleksandr Y. Aravkin +2

Machine learning (ML) is redefining what is possible in data-intensive fields of science and engineering. However, applying ML to problems in the physical sciences comes with a uni…

math.OC2018

Optimal Sensor and Actuator Selection using Balanced Model Reduction

Krithika Manohar, J. Nathan Kutz, Steven L. Brunton

Optimal sensor and actuator selection is a central challenge in high-dimensional estimation and control. Nearly all subsequent control decisions are affected by these sensor/actuat…

math.NA2018★ 13 cited

Smoothing and parameter estimation by soft-adherence to governing equations

Samuel Rudy, Steven Brunton, J. Nathan Kutz

The analysis of high-dimensional dynamical systems generally requires the integration of simulation data with experimental measurements. Experimental data often has substantial amo…

nlin.PS2016

Data-driven discovery of partial differential equations

Samuel H. Rudy, Steven L. Brunton, Joshua L. Proctor +1

We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The…

physics.data-an2016★ 41 cited

Environment Identification in Flight using Sparse Approximation of Wing Strain

Krithika Manohar, Steven L. Brunton, J. Nathan Kutz

This paper addresses the problem of identifying different flow environments from sparse data collected by wing strain sensors. Insects regularly perform this feat using a sparse en…

math.DS2013★ 129 cited

Compressive sensing and low-rank libraries for classification of bifurcation regimes in nonlinear dynamical systems

Steven L. Brunton, Jonathan H. Tu, Ido Bright +1

We show that for complex nonlinear systems, model reduction and compressive sensing strategies can be combined to great advantage for classifying, projecting, and reconstructing th…