From the 1 of 6 linked papers with an AI index.
1 citations · 1 across the 2 of their papers we have counts for
6 papers
Large Deviations Analysis for Stochastic Models of Bacterial Evolution
Robert Azencott, Brett Geiger, Ilya Timofeyev
The paper develops a large‑deviation framework for discrete‑time Markov chain models of bacterial population genetics, deriving explicit cost functions for histogram dynamics and m…
Parametric Reduced Order Models for the Generalized Kuramoto--Sivashinsky Equations
Md Rezwan Bin Mizan, Maxim Olshanskii, Ilya Timofeyev
The paper studies parametric Reduced Order Models (ROMs) for the Kuramoto--Sivashinsky (KS) and generalized Kuramoto--Sivashinsky (gKS) equations. We consider several POD and POD-D…
Using Echo-State Networks to Reproduce Rare Events in Chaotic Systems
Anton Erofeev, Balasubramanya T. Nadiga, Ilya Timofeyev
We apply Echo-State Networks to predict time series and statistical properties of the competitive Lotka-Volterra model in the chaotic regime. In particular, we demonstrate that Ech…
Attractor learning for spatiotemporally chaotic dynamical systems using echo state networks with transfer learning
Mohammad Shah Alam, William Ott, Ilya Timofeyev
In this paper, we explore the predictive capabilities of echo state networks (ESNs) for the generalized Kuramoto-Sivashinsky (gKS) equation, an archetypal nonlinear PDE that exhibi…
Application of Machine Learning and Convex Limiting to Subgrid Flux Modeling in the Shallow-Water Equations
Ilya Timofeyev, Alexey Schwarzmann, Dmitri Kuzmin
We propose a combination of machine learning and flux limiting for property-preserving subgrid scale modeling in the context of flux-limited finite volume methods for the one-dimen…
Modeling Information Flow with a Multi-Stage Queuing Mode
Mohammad Daneshvar, Richard C. Barnard, Cory Hauck +1
In this paper, we introduce a nonlinear stochastic model to describe the propagation of information inside a computer processor. In this model, a computational task is divided into…