Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unveiling the higher-order organization of multivariate time series   Time series analysis has proven to be a powerful method to characterize
several phenomena in biological, neural and socio-economic systems, and to
understand their underlying dynamical features. Despite a plethora of methods
having been proposed for the analysis of multivariate time series, most of them
do not investigate whether signals result from independent, pairwise, or group
interactions. Here, we propose a novel framework to characterize the temporal
evolution of higher-order dependencies within multivariate time series. Using
network analysis and topology, we show that, unlike traditional tools, our
framework robustly differentiates various spatiotemporal regimes of coupled
chaotic maps, including chaotic dynamical phases and various types of
synchronization. By analysing fMRI signals, we find that, during rest, the
human brain mainly oscillates between chaotic and few partially intermittent
states, with higher-order structures reflecting sensorimotor areas. Similarly,
in financial and epidemic time series, instead, higher-order information
efficiently discriminates between radically different coordination and
spreading regimes. Overall, our approach sheds new light on the higher-order
organization of multivariate time series, allowing for a better
characterization of dynamical group dependencies inherent to real-world
systems.

15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg