From the 1 of 7 linked papers with an AI index.
7 papers
Origins and mitigation of double descent in reduced order modeling
Andrei A. Klishin, J. Nathan Kutz, Krithika Manohar
The paper investigates why double descent errors occur in reduced‑order models and proposes a data‑noise averaging framework to predict and mitigate these instabilities, demonstrat…
OpenReservoirComputing: GPU-Accelerated Reservoir Computing in JAX
Jan Williams, Dima Tretiak, Steven L. Brunton +2
OpenReservoirComputing (ORC) is a Python library for reservoir computing (RC) written in JAX (Bradbury et al. 2018) and Equinox (Kidger and Garcia 2021). JAX is a Python library fo…
Online Kernel Dynamic Mode Decomposition for Streaming Time Series Forecasting with Adaptive Windowing
Christopher Salazar, Krithika Manohar, Ashis G. Banerjee
Real-time forecasting from streaming data poses critical challenges: handling non-stationary dynamics, operating under strict computational limits, and adapting rapidly without cat…
Extending the trapping theorem to provide local stability guarantees for quadratically nonlinear models
Mai Peng, Alan Kaptanoglu, Chris Hansen +3
The Navier Stokes equations (NSEs) are partial differential equations (PDEs) to describe the nonlinear convective motion of fluids and they are computationally expensive to simulat…
PySensors 2.0: A Python Package for Sparse Sensor Placement
Niharika Karnik, Yash Bhangale, Mohammad G. Abdo +6
PySensors is a Python package for selecting and placing a sparse set of sensors for reconstruction and classification tasks. In this major update to PySensors, we introduce spatial…
Data-Induced Interactions of Sparse Sensors Using Statistical Physics
Andrei A. Klishin, J. Nathan Kutz, Krithika Manohar
Large-dimensional empirical data in science and engineering frequently have a low-rank structure and can be represented as a combination of just a few eigenmodes. Because of this s…