New statistical models of nonergodic cognitive systems and their pathologies

Stress-induced failure of embodied cognition: A general model

We derive the classic, ubiquitous, but enigmatic Yerkes-Dodson effect of applied stress on real-world performance in a highly natural manner from fundamental assumptions on cognition and its dynamics, as constrained by the asymptotic limit theorems of information and control theories. We greatly extend the basic approach by showing how differences in an underlying probability model can affect the dynamics of decision across a broad range of cognitive enterprise. Most particularly, however, this development may help inform our understanding of the different expressions of human psychopathology. A 'thin tailed' underlying distribution appears to characterize expression of 'ordinary' situational depression/anxiety symptoms of conditions like burnout induced by toxic stress. A 'fat tailed' underlying distribution appears to be associated with brain structure and function abnormalities leading to serious mental illness and poor decision making where symptoms are not only emerging in the setting of severe stress but may also appear in a highly punctuated manner at relatively lower levels of stress. A simple hierarchical optimization shows how environmental 'shadow price' constraints can buffer or aggravate the effects of stress and arousal. Extension of the underlying theory to other patterns of pathology, like immune disorders and premature aging, seems apt. Applications to the punctuated dynamics of institutional cognition under stress also appear possible. Ultimately, the probability models studied here can be converted to new statistical tools for the analysis of observational and experimental data.

Formal perspectives on shared interbrain activity in social communication: Insights from information and control theories

The mechanisms underlying a reorientation of neuroscience from a single-brain to a multi-brain frame of reference have long been with us. These revolve around the evolutionary exaptation of the inevitable second-law 'leakage' of crosstalk between co-resident cognitive phenomena. Crosstalk characterizes such processes as immune response, wound-healing, gene expression, as so on, up through and including far more rapid neural processes. It is not a great leap-of-faith to infer that similar phenomena affect/afflict social interactions between individuals within and across populations.

Fractured Symmetries: Information and Control Theory Perspectives on Mitochondrial Dysfunction

Mitochondrial dysfunction underlies a vast array of chronic disorders across the life span. The asymptotic limit theorems of information and control theories, supplemented by symmetry-breaking phase transition arguments adapted from physical theory, give deep insight into canonical mechanisms of cognition and regulation associated with such dysfunction. The probability models studied here can provide a foundation for the development of statistical tools useful in clinical and public health address of those disorders.

Toward a formal theory of embodied cognition

Since the reduction of uncertainty associated with cognition necessarily implies existence of a 'dual' information source, the Source Coding and Rate Distortion Theorems of information theory, in combination with the Data Rate Theorem of control theory, are sufficient to model much of embodied cognition. An iterated Morse Function 'free energy' allows construction of a 'higher entropy' analog constrained to obey the approximate dynamics of the Onsager gradient model of nonequilibrium thermodynamics. However, since palindromes are unlikely, there is no time reversal symmetry and hence no Onsager reciprocal relations. The group symmetry-breaking associated with physical phase transitions then emerges in terms of groupoids associated with equivalence classes of high probability developmental paths. The formalism is agnostic regarding representation and the Yerkes-Dodson inverted-U relation emerges directly, as do stochastic versions of the underlying dynamics, and a canonical approach to an embodied consciousness model. Contrary to the Western cultural fixation with individual salience at the expense of context, for cognition against and in the real world, context is often central, rather than simply being a screen against which some culturally-specific cartoon is supposed to play.

On the Variety of Cognitive Temperatures and Their Symmetry-Breaking Dynamics

The asymptotic limit theorems of information and control theories permit exploration of a surprising number of temperature-like measures and symmetry-breaking dynamics associated with cognition. Each of several markedly different perspectives produces a distinct temperature-analog, capturing a rich and highly-punctuated behavioral landscape across the complex, hierarchical cognitive phenomena that characterize life at every scale and level of organization. Theories of cognition may be confronted by canonical conundrums similar to those plaguing the study of consciousness and its regulation. In short, there may be a spectrum of interacting cognitive 'temperatures' for organisms, social structures, institutions, information processing machines, and their composite entities, that varies across different systems, and between similar systems having undergone different individual developmental trajectories. The complexities of cognitive failure-leading to a vast array of pathologies-may be far stranger than generally recognized.

Culture and the Trajectories of Developmental Pathology: Insights from Control and Information Theories

Cognition in living entities-and their social groupings or institutional artifacts-is necessarily as complicated as their embedding environments, which, for humans, includes a particularly rich cultural milieu. The asymptotic limit theorems of information and control theories permit construction of a new class of empirical 'regression-like' statistical models for cognitive developmental processes, their dynamics, and modes of dysfunction. Such models may, as have their simpler analogs, prove useful in the study and re-mediation of cognitive failure at and across the scales and levels of organization that constitute and drive the phenomena of life. These new models particularly focus on the roles of sociocultural environment and stress, in a large sense, as both trigger for the failure of the regulation of bio-cognition and as 'riverbanks' determining the channels of pathology, with implications across life-course developmental trajectories. We examine the effects of an embedding cultural milieu and its socioeconomic implementations using the 'lenses' of metabolic optimization, control system theory, and an extension of symmetry-breaking appropriate to information systems. A central implication is that most, if not all, human developmental disorders are fundamentally culture-bound syndromes. This has deep implications for both individual treatment and public health policy.