1.9k citations · 6.2k across the 179 of their papers we have counts for
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iMapD: intrinsic Map Dynamics exploration for uncharted effective free energy landscapes
Eliodoro Chiavazzo, Ronald R. Coifman, Roberto Covino +4
We describe and implement iMapD, a computer-assisted approach for accelerating the exploration of uncharted effective Free Energy Surfaces (FES), and more generally for the extract…
Data mining when each data point is a network
Karthikeyan Rajendran, Assimakis A. Kattis, Alexander Holiday +2
We discuss the problem of extending data mining approaches to cases in which data points arise in the form of individual graphs. Being able to find the intrinsic low-dimensionality…
No equations, no parameters, no variables: data, and the reconstruction of normal forms by learning informed observation geometries
Or Yair, Ronen Talmon, Ronald R. Coifman +1
The discovery of physical laws consistent with empirical observations lies at the heart of (applied) science and engineering. These laws typically take the form of nonlinear differ…
On the sighting of unicorns: a variational approach to computing invariant sets in dynamical systems
Oliver Junge, Ioannis G. Kevrekidis
We propose to compute approximations to general invariant sets in dynamical systems by minimizing the distance between an appropriately selected finite set of points and its image…
Optimal Deterministic Algorithm Generation
Alexander Mitsos, Jaromił Najman, Ioannis G. Kevrekidis
A formulation for the automated generation of algorithms via mathematical programming (optimization) is proposed. The formulation is based on the concept of optimizing within a par…
Equation-free analysis of a dynamically evolving multigraph
Alexander Holiday, Ioannis G. Kevrekidis
In order to illustrate the adaptation of traditional continuum numerical techniques to the study of complex network systems, we use the equation-free framework to analyze a dynamic…