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Emergence and causality are two fundamental concepts for understanding complex systems. They are interconnected. On one hand, emergence refers to the phenomenon where macroscopic properties cannot be solely attributed to the cause of…

Physics and Society · Physics 2024-02-27 Bing Yuan , Zhang Jiang , Aobo Lyu , Jiayun Wu , Zhipeng Wang , Mingzhe Yang , Kaiwei Liu , Muyun Mou , Peng Cui

In artificial neural networks, the activation dynamics of non-trainable variables is strongly coupled to the learning dynamics of trainable variables. During the activation pass, the boundary neurons (e.g., input neurons) are mapped to the…

Machine Learning · Computer Science 2025-03-27 Ekaterina Kukleva , Vitaly Vanchurin

The deep neural nets of modern artificial intelligence (AI) have not achieved defining features of biological intelligence, including abstraction, causal learning, and energy-efficiency. While scaling to larger models has delivered…

Neurons and Cognition · Quantitative Biology 2021-05-24 Joseph D. Monaco , Kanaka Rajan , Grace M. Hwang

The power and expressivity of deep classical neural networks can be attributed to non-linear input-output relations. Such non-linearities are at the heart of many computational tasks, such as data classification and pattern recognition.…

Quantum Physics · Physics 2025-06-05 Mario Boneberg , Federico Carollo , Igor Lesanovsky

Understanding the mechanisms behind emergent behaviors in multi-agent systems is critical for advancing fields such as swarm robotics and artificial intelligence. In this study, we investigate how neural networks evolve to control agents'…

Adaptation and Self-Organizing Systems · Physics 2024-10-28 Guilherme S. Y. Giardini , John F. Hardy , Carlo R. da Cunha

The data-driven recovery of the unknown governing equations of dynamical systems has recently received an increasing interest. However, the identification of governing equations remains challenging when dealing with noisy and partial…

Machine Learning · Computer Science 2021-02-17 Duong Nguyen , Said Ouala , Lucas Drumetz , Ronan Fablet

Artificial Intelligence has historically relied on planning, heuristics, and handcrafted approaches designed by experts. All the while claiming to pursue the creation of Intelligence. This approach fails to acknowledge that intelligence…

Neural and Evolutionary Computing · Computer Science 2020-03-27 Jordan Ott

We address the quantum dynamics of a system composed of a qubit globally coupled to a many-body system characterized by short-range interactions. We employ a dynamic finite-size scaling framework to investigate the out-of-equilibrium…

Statistical Mechanics · Physics 2019-05-20 Davide Rossini , Ettore Vicari

We argue that the direct experimental approaches to elucidate the architecture of higher brains may benefit from insights gained from exploring the possibilities and limits of artificial control architectures for robot systems. We present…

Robotics · Computer Science 2007-05-23 H. Ritter , J. J. Steil , C. Noelker , F. Roethling , P. C. McGuire

In this chapter, we utilize dynamical systems to analyze several aspects of machine learning algorithms. As an expository contribution we demonstrate how to re-formulate a wide variety of challenges from deep neural networks, (stochastic)…

Dynamical Systems · Mathematics 2025-07-08 Dennis Chemnitz , Maximilian Engel , Christian Kuehn , Sara-Viola Kuntz

This Thesis explores how tools from Statistical Physics and Information Theory can help us describe and understand complex systems. In the first part, we study the interplay between internal interactions, environmental changes, and…

Statistical Mechanics · Physics 2023-03-01 Giorgio Nicoletti

Humans excel at continually acquiring, consolidating, and retaining information from an ever-changing environment, whereas artificial neural networks (ANNs) exhibit catastrophic forgetting. There are considerable differences in the…

Neural and Evolutionary Computing · Computer Science 2023-04-17 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

Introduction: In contrast to current AI technology, natural intelligence -- the kind of autonomous intelligence that is realized in the brains of animals and humans to attain in their natural environment goals defined by a repertoire of…

Artificial Intelligence · Computer Science 2022-05-03 Christoph von der Malsburg , Thilo Stadelmann , Benjamin F. Grewe

The nervous system displays a variety of rhythms in both waking and sleep. These rhythms have been closely associated with different behavioral and cognitive states, but it is still unknown how the nervous system makes use of these rhythms…

Dynamical Systems · Mathematics 2007-05-23 Nancy Kopell

Recent breakthroughs in the experimental manipulation of strongly interacting atomic Rydberg gases in lattice potentials have opened a new avenue for the study of many-body phenomena. Considerable efforts are currently being undertaken to…

Quantum Gases · Physics 2016-02-17 Ben Everest , Matteo Marcuzzi , Igor Lesanovsky

Competition for a limited resource is the hallmark of many complex systems, and often, that resource turns out to be the physical space itself. In this work, we study a novel model designed to elucidate the dynamics and emergence in complex…

Physics and Society · Physics 2026-03-18 Ann Mary Mathew , V Sasidevan

Emergence is a concept in complexity science that describes how many-body systems manifest novel higher-level properties, properties that can be described by replacing high-dimensional mechanisms with lower-dimensional effective variables…

Computation and Language · Computer Science 2025-06-16 David C. Krakauer , John W. Krakauer , Melanie Mitchell

Feed-forward neural networks (FNNs) work as standard building blocks in applying artificial intelligence (AI) to the physical world. They allow learning the dynamics of unknown physical systems (e.g., biological and chemical) {to predict…

Machine Learning · Computer Science 2022-06-23 Yu Wang , Qitong Gao , Miroslav Pajic

It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively discusses the challenges associated with modelling the…

Neurons and Cognition · Quantitative Biology 2024-11-01 Hina Shaheen , Roderick Melnik

The cerebral cortex spontaneously displays different patterns of activity that evolve over time according to the brain state. Sleep, wakefulness, resting states, and attention are examples of a wide spectrum of physiological states that can…