30 citations · 30 across the 2 of their papers we have counts for
2 papers
math.DS2023
Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds
A. Georgiou, H. Vandecasteele, J. M. Bello-Rivas +1
Steady states are invaluable in the study of dynamical systems. High-dimensional dynamical systems, due to a separation of time-scales, often evolve towards a lower dimensional man…
math.NA2021★ 30 cited
Time Series Forecasting Using Manifold Learning
Panagiotis Papaioannou, Ronen Talmon, Ioannis Kevrekidis +1
We address a three-tier numerical framework based on manifold learning for the forecasting of high-dimensional time series. At the first step, we embed the time series into a reduc…