# Chaos to clarity: interpreting time series complexity metrics with an application to depression

## TL;DR

This paper explores how complexity metrics from time series data can help understand mental health conditions like depression.

## Contribution

The paper provides a nuanced interpretation of complexity metrics in the context of depression and mental health dynamics.

## Key findings

- Complexity metrics behave differently as dynamics shift between periodicity, chaos, and noise.
- There are divergent trends in complexity metrics across domains like actigraphy, EEG, and ECG in depression studies.
- The findings highlight the need for careful interpretation of these metrics in mental health research.

## Abstract

There is an increasing understanding in recent years that mental health and psychiatric illnesses can be interpreted as complex dynamical systems. This understanding is largely derived from the complexity of dynamics that is observed in time series that are closely related to mental health. This complexity is quantified using a range of metrics from information theory and nonlinear time series analysis. Interpreting these metrics correctly and discerning how they vary as the nature of the dynamics changes is important to correctly identify the effect of mental illness. In this perspective article I attempt to do this, by first describing complexity of time series and the metrics that are used to quantify this complexity. I then analyze the behavior of these metrics as dynamics transition between periodicity, chaos and noise. Finally, I explore these changes in the context of depression by studying existing literature, and interpret what this implies for the nature of its underlying dynamics. There are divergent trends across studies and across domains such as actigraphy, EEG, and ECG. These findings emphasize the need for a nuanced interpretation of complexity metrics and their role in advancing our understanding of the nonlinear dynamics underlying mental health conditions like depression.

The online version contains supplementary material available at 10.1007/s44192-025-00231-4.