Span Spanbauer
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View article: Extended Koopman Models
Extended Koopman Models Open
We introduce two novel generalizations of the Koopman operator method of nonlinear dynamic modeling. Each of these generalizations leads to greatly improved predictive performance without sacrificing a unique trait of Koopman methods: the …
View article: Coarse-Grained Nonlinear System Identification
Coarse-Grained Nonlinear System Identification Open
We introduce Coarse-Grained Nonlinear Dynamics, an efficient and universal parameterization of nonlinear system dynamics based on the Volterra series expansion. These models require a number of parameters only quasilinear in the system's m…
View article: Rapid Generation of Stochastic Signals with Specified Statistics
Rapid Generation of Stochastic Signals with Specified Statistics Open
We demonstrate a novel algorithm for generating stationary stochastic signals with a specified power spectral density (or equivalently, via the Wiener-Khinchin relation, a specified autocorrelation function) while satisfying constraints on…
View article: Neural Group Actions
Neural Group Actions Open
We introduce an algorithm for designing Neural Group Actions, collections of deep neural network architectures which model symmetric transformations satisfying the laws of a given finite group. This generalizes involutive neural networks $…
View article: Deep Involutive Generative Models for Neural MCMC
Deep Involutive Generative Models for Neural MCMC Open
We introduce deep involutive generative models, a new architecture for deep generative modeling, and use them to define Involutive Neural MCMC, a new approach to fast neural MCMC. An involutive generative model represents a probability ker…