A tutorial on multifractality, cascades, and interactivity for empirical time series in ecological science

DG Kelty-Stephen, K Palatinus, E Saltzman… - Ecological …, 2013 - Taylor & Francis
Interactivity is a central theme of ecological psychology. According to Gibsonian views,
behavior is the emergent property of interactions between organism and environment …

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 …

[图书][B] Complex valued nonlinear adaptive filters: noncircularity, widely linear and neural models

DP Mandic, VSL Goh - 2009 - books.google.com
This book was written in response to the growing demand for a text that provides a unified
treatment of linear and nonlinear complex valued adaptive filters, and methods for the …

Generative Adversarial Networks and Markov Random Fields for oversampling very small training sets

A Salazar, L Vergara, G Safont - Expert Systems with Applications, 2021 - Elsevier
In this work, we propose a new method for oversampling the training set of a classifier, in a
scenario of extreme scarcity of training data. It is based on two concepts: Generative …

Temporal organization of stride-to-stride variations contradicts predictive models for sensorimotor control of footfalls during walking

M Mangalam, DG Kelty-Stephen, JH Sommerfeld… - Plos one, 2023 - journals.plos.org
Walking exhibits stride-to-stride variations. Given ongoing perturbations, these variations
critically support continuous adaptations between the goal-directed organism and its …

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 …

Ergodic descriptors of non-ergodic stochastic processes

M Mangalam, DG Kelty-Stephen - Journal of the Royal …, 2022 - royalsocietypublishing.org
The stochastic processes underlying the growth and stability of biological and psychological
systems reveal themselves when far-from-equilibrium. Far-from-equilibrium, non-ergodicity …

Multiplicative-cascade dynamics supports whole-body coordination for perception via effortful touch

M Mangalam, DG Kelty-Stephen - Human Movement Science, 2020 - Elsevier
Effortful touch by the hand is essential to engaging with and perceiving properties of objects.
The temporal structure of whole-body coordination must reflect the prospective control that …

Perceiving and remembering speech depend on multifractal nonlinearity in movements producing and exploring speech

L Bloomfield, E Lane, M Mangalam… - Journal of the …, 2021 - royalsocietypublishing.org
Speech perception and memory for speech require active engagement. Gestural theories
have emphasized mainly the effect of speaker's movements on speech perception. They fail …

Multifractal nonlinearity as a robust estimator of multiplicative cascade dynamics

M Mangalam, AD Likens, DG Kelty-Stephen - arXiv preprint arXiv …, 2023 - arxiv.org
Multifractal formalisms provide an apt framework to study random cascades in which
multifractal spectrum width $\Delta\alpha $ fluctuates depending on the number of estimable …