Point estimates, Simpson's paradox, and nonergodicity in biological sciences

M Mangalam, DG Kelty-Stephen - Neuroscience & Biobehavioral Reviews, 2021 - Elsevier
Modern biomedical, behavioral and psychological inference about cause-effect
relationships respects an ergodic assumption, that is, that mean response of representative …

Multifractal test for nonlinearity of interactions across scales in time series

DG Kelty-Stephen, E Lane, L Bloomfield… - Behavior Research …, 2023 - Springer
The creativity and emergence of biological and psychological behavior tend to be nonlinear,
and correspondingly, biological and psychological measures contain degrees of irregularity …

Older adults and individuals with Parkinson's disease control posture along suborthogonal directions that deviate from the traditional anteroposterior and mediolateral …

M Mangalam, DG Kelty-Stephen, I Seleznov… - Scientific Reports, 2024 - nature.com
A rich and complex temporal structure of variability in postural sway characterizes healthy
and adaptable postural control. However, neurodegenerative disorders such as Parkinson's …

Multifractal descriptors ergodically characterize non-ergodic multiplicative cascade processes

DG Kelty-Stephen, M Mangalam - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
Biological and psychological processes routinely break ergodicity, meaning they fail to have
stable means (M ean) and independent variation over time that we might find in additive …

Turing's cascade instability supports the coordination of the mind, brain, and behavior

DG Kelty-Stephen, M Mangalam - Neuroscience & Biobehavioral Reviews, 2022 - Elsevier
Turing inspired a computer metaphor of the mind and brain that has been handy and has
spawned decades of empirical investigation, but he did much more and offered behavioral …

Multifractal roots of suprapostural dexterity

DG Kelty-Stephen, IC Lee, NS Carver… - Human Movement …, 2021 - Elsevier
Visually guided postural control emerges in response to task constraints. Task constraints
generate physiological fluctuations that foster the exploration of available sensory …

Machine-learning classification with additivity and diverse multifractal pathways in multiplicativity

M Mangalam, H Seckler, DG Kelty-Stephen - Physical Review Research, 2024 - APS
Evidence of multifractal structures has spread to a wider set of physiological time series
supporting the intricate interplay of biological and psychological functioning. These …

Multifractal nonlinearity moderates feedforward and feedback responses to suprapostural perturbations

DG Kelty-Stephen, J Lee, KR Cole… - … and motor skills, 2023 - journals.sagepub.com
An adaptive response to unexpected perturbations requires near-term and long-term
adjustments over time. We used multifractal analysis to test how nonlinear interactions …

Multifractality in postural sway supports quiet eye training in aiming tasks: A study of golf putting

N Jacobson, Q Berleman-Paul, M Mangalam… - Human Movement …, 2021 - Elsevier
Abstract The 'quiet eye'(QE) approach to visually-guided aiming behavior invests fully in
perceptual information's potential to organize coordinated action. Sports psychologists refer …

Multifractality distinguishes reactive from proactive cascades in postural control

DG Kelty-Stephen, MP Furmanek… - Chaos, Solitons & Fractals, 2021 - Elsevier
Intermittency is a flexible control process entailing context-sensitive engagement with task
constraints. The present work aims to situate the intermittency of dexterous behavior …