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 …

Multifractal foundations of biomarker discovery for heart disease and stroke

M Mangalam, A Sadri, J Hayano, E Watanabe… - Scientific reports, 2023 - nature.com
Any reliable biomarker has to be specific, generalizable, and reproducible across
individuals and contexts. The exact values of such a biomarker must represent similar health …

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 …

Ergodic characterization of nonergodic anomalous diffusion processes

M Mangalam, R Metzler, DG Kelty-Stephen - Physical Review Research, 2023 - APS
Anomalous diffusion in various complex systems abounds in nature and spans multiple
space and time scales. Canonical characterization techniques that rely upon mean squared …

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 …

Fractal and multifractal descriptors restore ergodicity broken by non-Gaussianity in time series

DG Kelty-Stephen, M Mangalam - Chaos, Solitons & Fractals, 2022 - Elsevier
Ergodicity breaking is a challenge for biological and psychological sciences. Ergodicity is a
necessary condition for linear causal modeling. Long-range correlations and non …

On the psychological origins of tool use

M Mangalam, DM Fragaszy, JB Wagman… - Neuroscience & …, 2022 - Elsevier
The ubiquity of tool use in human life has generated multiple lines of scientific and
philosophical investigation to understand the development and expression of humans' …