24 citations · 31 across the 3 of their papers we have counts for
5 papers · 1 filter
Kernel-based Prediction of Non-Markovian Time Series
Faheem Gilani, Dimitrios Giannakis, John Harlim
A nonparametric method to predict non-Markovian time series of partially observed dynamics is developed. The prediction problem we consider is a supervised learning task of finding…
Delay-coordinate maps, coherence, and approximate spectra of evolution operators
Dimitrios Giannakis
The problem of data-driven identification of coherent observables of measure-preserving, ergodic dynamical systems is studied using kernel integral operator techniques. An approach…
Kernel Analog Forecasting: Multiscale Test Problems
Dmitry Burov, Dimitrios Giannakis, Krithika Manohar +1
Data-driven prediction is becoming increasingly widespread as the volume of data available grows and as algorithmic development matches this growth. The nature of the predictions m…
An information-geometric approach to feature extraction and moment reconstruction in dynamical systems
Suddhasattwa Das, Dimitrios Giannakis, Enikő Székely
We propose a dimension reduction framework for feature extraction and moment reconstruction in dynamical systems that operates on spaces of probability measures induced by observab…
Bridging data science and dynamical systems theory
Tyrus Berry, Dimitrios Giannakis, John Harlim
This short review describes mathematical techniques for statistical analysis and prediction in dynamical systems. Two problems are discussed, namely (i) the supervised learning pro…