4 citations · 5 across the 3 of their papers we have counts for
4 papers
Posterior contraction rates for non-parametric state and drift estimation
Sebastian Reich, Paul Rozdeba
We consider a combined state and drift estimation problem for the linear stochastic heat equation. The infinite-dimensional Bayesian inference problem is formulated in terms of the…
Machine Learning of Time Series Using Time-delay Embedding and Precision Annealing
Alexander J. A. Ty, Zheng Fang, Rivver A. Gonzalez +2
Tasking machine learning to predict segments of a time series requires estimating the parameters of a ML model with input/output pairs from the time series. Using the equivalence b…
Machine Learning as Statistical Data Assimilation
H. D. I. Abarbanel, P. J. Rozdeba, S. Shirman
We identify a strong equivalence between neural network based machine learning (ML) methods and the formulation of statistical data assimilation (DA), known to be a problem in stat…
Machine Learning, Deepest Learning: Statistical Data Assimilation Problems
Henry Abarbanel, Paul Rozdeba, Sasha Shirman
We formulate a strong equivalence between machine learning, artificial intelligence methods and the formulation of statistical data assimilation as used widely in physical and biol…