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We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

Neural networks are powerful function estimators, leading to their status as a paradigm of choice for modeling structured data. However, unlike other structured representations that emphasize the modularity of the problem -- e.g., factor…

Machine Learning · Computer Science 2022-06-20 Tsvetomila Mihaylova , Vlad Niculae , André F. T. Martins

Brains have evolved diverse neurons with varying morphologies and dynamics that impact temporal information processing. In contrast, most neural network models use homogeneous units that vary only in spatial parameters (weights and biases).…

Neural and Evolutionary Computing · Computer Science 2025-01-14 Karim G. Habashy , Benjamin D. Evans , Dan F. M. Goodman , Jeffrey S. Bowers

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

Quantitative Methods · Quantitative Biology 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

Many algorithms for processing probabilistic networks are dependent on the topological properties of the problem's structure. Such algorithms (e.g., clustering, conditioning) are effective only if the problem has a sparse graph captured by…

Artificial Intelligence · Computer Science 2013-02-18 Yousri El Fattah , Rina Dechter

The dynamic instability of the living systems and the "superposition" of different forms of randomness are viewed as a component of the contingently increasing organization of life along evolution. We briefly survey how classical and…

Other Quantitative Biology · Quantitative Biology 2011-04-07 Marcello Buiatti , Giuseppe Longo

Neural network design has utilized flexible nonlinear processes which can mimic biological systems, but has suffered from a lack of traceability in the resulting network. Graphical probabilistic models ground network design in probabilistic…

Machine Learning · Computer Science 2015-06-19 Kenric P. Nelson , Madalina Barbu , Brian J. Scannell

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Simulation is a third pillar next to experiment and theory in the study of complex dynamic systems such as biological neural networks. Contemporary brain-scale networks correspond to directed graphs of a few million nodes, each with an…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-03 Jari Pronold , Jakob Jordan , Brian J. N. Wylie , Itaru Kitayama , Markus Diesmann , Susanne Kunkel

In spite of the large amount of existing neural models in the literature, there is a lack of a systematic review of the possible effect of choosing different initial conditions on the dynamic evolution of neural systems. In this short…

Neurons and Cognition · Quantitative Biology 2016-05-24 Pedro A. Valdes-Hernandez , Thomas Knoesche

We show that logic computational circuits in gene regulatory networks arise from a fibration symmetry breaking in the network structure. From this idea we implement a constructive procedure that reveals a hierarchy of genetic circuits,…

Genomics · Quantitative Biology 2020-06-25 Ian Leifer , Flaviano Morone , Saulo D. S. Reis , Jose S. Andrade , Mariano Sigman , Hernan A. Makse

In many social dilemmas, individuals tend to generate a situation with low payoffs instead of a system optimum ("tragedy of the commons"). Is the routing of traffic a similar problem? In order to address this question, we present…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Martin Schonhof , Hans-Ulrich Stark , Janusz A. Holyst

In computer simulations of spiking neural networks, often it is assumed that every two neurons of the network are connected by a probability of 2\%, 20\% of neurons are inhibitory and 80\% are excitatory. These common values are based on…

Neurons and Cognition · Quantitative Biology 2015-03-06 Hamed Seyed-allaei

Self-organized criticality has been proposed to be a universal mechanism for the emergence of scale-free dynamics in many complex systems, and possibly in the brain. While such scale-free patterns were identified experimentally in many…

Neurons and Cognition · Quantitative Biology 2021-05-11 Roxana Zeraati , Viola Priesemann , Anna Levina

The organization of interactions in complex systems can be described by networks connecting different units. These graphs are useful representations of the local and global complexity of the underlying systems. The origin of their…

Physics and Society · Physics 2015-09-30 Luís F Seoane , Ricard Solé

Humans and animals exhibit a range of interesting behaviors in dynamic environments, and it is unclear how our brains actively reformat this dense sensory information to enable these behaviors. Experimental neuroscience is undergoing a…

Neurons and Cognition · Quantitative Biology 2023-11-07 Aran Nayebi

In branching simulation, a novel approach to simulation presented in this paper, a multiplicity of plausible scenarios are concurrently developed and implemented. In conventional simulations of complex systems, there arise from time to time…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Mark Burgin , Walter Karplus , Damon Liu

Neural networks are nowadays both powerful operational tools (e.g., for pattern recognition, data mining, error correction codes) and complex theoretical models on the focus of scientific investigation. As for the research branch, neural…

Disordered Systems and Neural Networks · Physics 2014-07-22 Elena Agliari , Adriano Barra , Andrea Galluzzi , Daniele Tantari , Flavia Tavani