44 citations · 99 across the 11 of their papers we have counts for
11 papers
On Principles of Emergent Organization
Adam T. Rupe, James P. Crutchfield
After more than a century of concerted effort, physics still lacks basic principles of spontaneous self-organization. To appreciate why, we first state the problem, outline histori…
Unsupervised Discovery of Extreme Weather Events Using Universal Representations of Emergent Organization
Adam Rupe, Karthik Kashinath, Nalini Kumar +1
Spontaneous self-organization is ubiquitous in systems far from thermodynamic equilibrium. While organized structures that emerge dominate transport properties, universal represent…
Algebraic Theory of Patterns as Generalized Symmetries
Adam Rupe, James P. Crutchfield
We generalize the exact predictive regularity of symmetry groups to give an algebraic theory of patterns, building from a core principle of future equivalence. For topological patt…
Nonequilibrium Statistical Mechanics and Optimal Prediction of Partially-Observed Complex Systems
Adam Rupe, Velimir V. Vesselinov, James P. Crutchfield
Only a subset of degrees of freedom are typically accessible or measurable in real-world systems. As a consequence, the proper setting for empirical modeling is that of partially-o…
Spacetime Autoencoders Using Local Causal States
Adam Rupe, James P. Crutchfield
Local causal states are latent representations that capture organized pattern and structure in complex spatiotemporal systems. We expand their functionality, framing them as spacet…
DisCo: Physics-Based Unsupervised Discovery of Coherent Structures in Spatiotemporal Systems
Adam Rupe, Nalini Kumar, Vladislav Epifanov +8
Extracting actionable insight from complex unlabeled scientific data is an open challenge and key to unlocking data-driven discovery in science. Complementary and alternative to su…
Towards Unsupervised Segmentation of Extreme Weather Events
Adam Rupe, Karthik Kashinath, Nalini Kumar +3
Extreme weather is one of the main mechanisms through which climate change will directly impact human society. Coping with such change as a global community requires markedly impro…
Koopman Operator and its Approximations for Systems with Symmetries
Anastasiya Salova, Jeffrey Emenheiser, Adam Rupe +2
Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, including complex attractor-basin portraits and enhanced and suppressed bifurcations. Symmetry argu…
Spacetime Symmetries, Invariant Sets, and Additive Subdynamics of Cellular Automata
Adam Rupe, James P. Crutchfield
Cellular automata are fully-discrete, spatially-extended dynamical systems that evolve by simultaneously applying a local update function. Despite their simplicity, the induced glo…
Local Causal States and Discrete Coherent Structures
Adam Rupe, James P. Crutchfield
Coherent structures form spontaneously in nonlinear spatiotemporal systems and are found at all spatial scales in natural phenomena from laboratory hydrodynamic flows and chemical…
A Physics-Based Approach to Unsupervised Discovery of Coherent Structures in Spatiotemporal Systems
A. Rupe, J. P. Crutchfield, K. Kashinath +1
Given that observational and numerical climate data are being produced at ever more prodigious rates, increasingly sophisticated and automated analysis techniques have become essen…