114 citations · 251 across the 9 of their papers we have counts for
9 papers
Model scale versus domain knowledge in statistical forecasting of chaotic systems
William Gilpin
Chaos and unpredictability are traditionally synonymous, yet large-scale machine learning methods recently have demonstrated a surprising ability to forecast chaotic systems well b…
Curiosity-driven search for novel non-equilibrium behaviors
Martin J. Falk, Finnegan D. Roach, William Gilpin +1
Exploring the spectrum of novel behaviors a physical system can produce can be a labor-intensive task. Active learning is a collection of iterative sampling techniques developed in…
Chaos as an interpretable benchmark for forecasting and data-driven modelling
William Gilpin
The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produc…
Deep reconstruction of strange attractors from time series
William Gilpin
Experimental measurements of physical systems often have a limited number of independent channels, causing essential dynamical variables to remain unobserved. However, many popular…
Lagrange2D: A Mathematica package for Lagrangian analysis of two-dimensional fluid flows
William Gilpin
We introduce Lagrange2D, a Mathematica package for analysis and characterization of complex fluid flows using Lagrangian transport metrics. Lagrange2D includes built-in functions f…
Avalanches impede synchronization of jammed oscillators
William Gilpin
Synchrony is inevitable in many oscillating systems -- from the canonical alignment of two ticking grandfather clocks, to the mutual entrainment of beating flagella or spiking neur…
Cellular automata as convolutional neural networks
William Gilpin
Deep learning techniques have recently demonstrated broad success in predicting complex dynamical systems ranging from turbulence to human speech, motivating broader questions abou…
Rapid behavioral transitions produce chaotic mixing by a planktonic microswimmer
William Gilpin, Vivek N. Prakash, Manu Prakash
Despite their vast morphological diversity, many invertebrates have similar larval forms characterized by ciliary bands, innervated arrays of beating cilia that facilitate swimming…
Vortex arrays and ciliary tangles underlie the feeding-swimming tradeoff in starfish larvae
William Gilpin, Vivek N. Prakash, Manu Prakash
Many marine invertebrates have larval stages covered in linear arrays of beating cilia, which propel the animal while simultaneously entraining planktonic prey. These bands are str…