4 papers · 1 filter
Analysis framework for higher-order temporal correlations with applications to human heartbeats
Tibebe Birhanu, Hang-Hyun Jo
We propose a time series analysis framework focused on higher-order temporal correlations in the event sequence beyond the interevent time distribution by employing the burst-tree…
Maximum likelihood estimation of burst-merging kernels for bursty time series
Tibebe Birhanu, Hang-Hyun Jo
Various time series in natural and social processes have been found to be bursty. Events in the time series rapidly occur within short time periods, forming bursts, which are alter…
Burst-tree structure and higher-order temporal correlations
Tibebe Birhanu, Hang-Hyun Jo
Understanding characteristics of temporal correlations in time series is crucial for developing accurate models in natural and social sciences. The burst-tree decomposition method…
Temporal scaling theory for bursty time series with clusters of arbitrarily many events
Hang-Hyun Jo, Tibebe Birhanu, Naoki Masuda
Long-term temporal correlations in time series in a form of an event sequence have been characterized using an autocorrelation function (ACF) that often shows a power-law decaying…