19 citations · 19 across the 2 of their papers we have counts for
6 papers
See and Copy: Generation of complex compositional movements from modular and geometric RNN representations
Sunny Duan, Mikail Khona, Adrian Bertagnoli +2
A hallmark of biological intelligence and control is combinatorial generalization: animals are able to learn various things, then piece them together in new combinations to produce…
Critical Network Cascades with Re-excitable nodes: Why tree-like approximations usually work, when they breakdown, and how to correct them
Sarthak Chandra, Edward Ott, Michelle Girvan
Network science is a rapidly expanding field, with a large and growing body of work on network-based dynamical processes. Most theoretical results in this area rely on the so-calle…
Observing Microscopic Transitions from Macroscopic Bursts: Instability-Mediated Resetting in the Incoherent Regime of the -dimensional Generalized Kuramoto Model
Sarthak Chandra, Edward Ott
We consider a recently introduced -dimensional generalized Kuramoto model for many interacting agents in which the agent states are -dimensional unit vectors. It w…
Complexity Reduction Ansatz for Systems of Interacting Orientable Agents: Beyond The Kuramoto Model
Sarthak Chandra, Michelle Girvan, Edward Ott
Previous results have shown that a large class of complex systems consisting of many interacting heterogeneous phase oscillators exhibit an attracting invariant manifold. This resu…
Continuous versus Discontinuous Transitions in the -Dimensional Generalized Kuramoto Model: Odd is Different
Sarthak Chandra, Michelle Girvan, Edward Ott
The Kuramoto model, originally proposed to model the dynamics of many interacting oscillators, has been used and generalized for a wide range of applications involving the collecti…
Hybrid Forecasting of Chaotic Processes: Using Machine Learning in Conjunction with a Knowledge-Based Model
Jaideep Pathak, Alexander Wikner, Rebeckah Fussell +4
A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of th…