“…In this paper, we suggest that perception could be modeled by assuming that sensory input is generated by a hierarchy of attractors in a dynamic system. We describe a mathematical model which exploits the temporal structure of rapid sensory dynamics to track the slower trajectories of their underlying causes. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Mathematical models of scientific data can be formally compared using Bayesian model evidence. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The HMM describes the brain as a complex adaptive system that functions to minimize the entropy of our sensory and physical states via action-perception cycles generated by hierarchical neural dynamics. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The propagation of epileptic seizure activity in the brain is a widespread pathophysiology that, in principle, should yield to intervention techniques guided by mathematical models of neuronal ensemble dynamics. During a seizure, neural activity will deviate from its current dynamical regime to one in which there are significant signal fluctuations. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Although the increase in the use of dynamical modeling in the literature on cultural evolution makes current models more mathematically sophisticated, these models have yet to be tested or validated. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Markovian monism rests upon the information geometry of random dynamic systems. In brief, the information geometry induced in any system—whose internal states can be distinguished from external states—must acquire a dual aspect. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…In this paper, we propose that the brain (and other self-organised biological systems) can be characterised via the mathematical apparatus of a gauge theory. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso