Leveraging neural differential equations and adaptive delayed feedback to detect unstable periodic orbits based on irregularly sampled time series.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0143839
Abstract: Detecting unstable periodic orbits (UPOs) based solely on time series is an essential data-driven problem, attracting a great deal of attention and arousing numerous efforts, in nonlinear sciences. Previous efforts and their developed algorithms, though… read more here.
Keywords: time; periodic orbits; time series; unstable periodic ... See more keywords
Sampling rate-corrected analysis of irregularly sampled time series.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.024206
Abstract: The analysis of irregularly sampled time series remains a challenging task requiring methods that account for continuous and abrupt changes of sampling resolution without introducing additional biases. The edit distance is an effective metric to… read more here.
Keywords: time; sampling rate; irregularly sampled; time series ... See more keywords
Method for cycle detection in sparse, irregularly sampled, long-term neuro-behavioral timeseries: Basis pursuit denoising with polynomial detrending of long-term, inter-ictal epileptiform activity
Sign Up to like & getrecommendations! Published in 2024 at "PLOS Computational Biology"
DOI: 10.1371/journal.pcbi.1011152
Abstract: Numerous physiological processes are cyclical, but sampling these processes densely enough to perform frequency decomposition and subsequent analyses can be challenging. Mathematical approaches for decomposition and reconstruction of sparsely and irregularly sampled signals are well… read more here.
Keywords: term; irregularly sampled; long term; pursuit denoising ... See more keywords