Trends and Challenges in Cognitive Modeling

This book presents interdisciplinary research in the science of Human Cognition through mathematical and computational modeling and simulation. Featuring new approaches developed by leading experts in the field of cognitive science, it highlights the relevance and depth of this important area of social sciences and its expanding reach into the biological, physical, computational and mathematical sciences.

This contributed volume compiles the most recent advancements and cutting-edge applications of cognitive modeling, employing a genuinely multidisciplinary approach to simulate thinking, memory, and decision-making. The topics covered encompass a wide range of subjects, such as Agent-based Modeling in psychological research, the Nyayasutra proof pattern, the utilization of the Pheromone Trail Algorithm for modeling Analog Memory, the theory and practical applications of Social Laser Theory, addressing the challenges of probabilistic learning in brain and behavior models, adopting a Physicalistic perspective to understand the emergence of cognition and computation, an in-depth analysis of the conjunction fallacy as a factual occurrence, exploring quantum modeling and causality in physics and its extensions, examining compositional vector semantics within spiking neural networks, delving into the realms of Optimality, Prototypes, and Bilingualism, and finally, investigating the intricate dimensionality of color perception.

Given its scope and approach, the book will benefit researchers and students of computational social sciences, mathematics and its applications, quantum physics.

Tomas Veloz has a PhD in Interdisciplinary Studies and a Master's degree in Computer Science, with majors in Mathematics and Physics. His research focuses on interdisciplinary mathematical modeling. His main research areas are Chemical Organization theory, where he has proven mathematical results such as the decomposition theorem and the existence of quantum-like organizational structures, and quantum cognition, where he has developed methods to represent collections of concepts in a Hilbert Space, and has shown that various cognitive and language phenomena exhibit quantum structure. Dr. Veloz is the Founder and Director of the Foundation for the Interdisciplinary Development of Science, Technology and Arts (DICTA), Chile, which collaborates with various institutions around the world for the generation and dissemination of integrated knowledge, and the development of projects with social impact.

Andrei Khrennikov holds a PhD in Mathematical Physics from the Moscow State University, Russia. Since 1997 he is a Professor at Linnaueus University, Sweden. In 2002, he became the Director of the International Center for Mathematical Modeling in Physics, Engineering, Economics, and Cognitive Science. His research interests are characterized by multi-disciplinarity, e.g., foundations of quantum physics and quantum information, foundations of probability, cognitive modeling, ultrametric (non-Archimedean) mathematics, dynamical systems, quantum-like models in psychology, economics and finances, social and political sciences. Dr. Khrennikov is the organizer of the worldwide known series of annual conferences in Växjö on foundations of quantum physics, information, and probability, held since 2000.

Bourama Toni is graduate of Université de Montreal, and is presently a full Professor and Chair of the Department of Mathematics at Howard University, Washington DC, USA. He isalso a founder and the Editor-in-Chief of the Springer's STEAM-H series. Dr. Toni's research interests are in differential and nonlinear analysis and related topics, including p-adic analysis, game theory and feedback loops analysis, and applications to naval engineering and biosciences. He has published several books with Springer.Bourama Toni is graduate of Université de Montreal, and is presently a full Professor and Chair of the Department of Mathematics at Howard University, Washington DC, USA. He is also a founder and the Editor-in-Chief of the Springer's STEAM-H series. Dr. Toni's research interests are in differential and nonlinear analysis and related topics, including p-adic analysis, game theory and feedback loops analysis, and applications to naval engineering and biosciences. He has published several books with Springer.

Ramón D. Castillo holds a Ph. D. in Psychology and M. A. in Psychology, University of Cincinnati, McMicken College of Arts and Sciences, Ohio, USA; he is an Associate Professor of the Faculty of Psychology at the University of Talca. He researches reasoning and learning processes in humans. Specifically, he seeks to understand how human beings reason with the mental states of others (Intentionality); and how they learn to predict or anticipate the occurrence of events in nature (Physical Causation). He currently directs the Cognitive Sciences Research Center (CICC) and the Cognitive Sciences Associative Research Program funded by the University of Talca. He teaches in the Psychology department at under and postgraduate levels. He is a member of the Psychology Study Panel at CONICYT, and a member of the editorial committee of the International Journal of Psychological Research. He is also a manuscript reviewer for Neuroscience Letters and European Child & Adolescent Psychiatry.