44 citations · 99 across the 11 of their papers we have counts for
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cond-mat.stat-mech2022★ 4 cited
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…
cond-mat.stat-mech2022★ 18 cited
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…