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We develop a statistical mechanical approach based on the replica method to study the design space of deep and wide neural networks constrained to meet a large number of training data. Specifically, we analyze the configuration space of the…

Disordered Systems and Neural Networks · Physics 2020-04-17 Hajime Yoshino

Generative models of brain activity have been instrumental in testing hypothesized mechanisms underlying brain dynamics against experimental datasets. Beyond capturing the key mechanisms underlying spontaneous brain dynamics, these models…

Neurons and Cognition · Quantitative Biology 2024-11-18 Rishikesan Maran , Eli J. Müller , Ben D. Fulcher

In the fields of computation and neuroscience, much is still unknown about the underlying computations that enable key cognitive functions including learning, memory, abstraction and behavior. This paper proposes a mathematical and…

Artificial Intelligence · Computer Science 2025-01-14 Jeet Singh

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

World models enable model-based planning through learned latent dynamics, but imagined rollouts become unstable as the planning horizon grows or the dynamics distribution shifts. We argue that this instability reflects two missing…

Artificial Intelligence · Computer Science 2026-05-08 Haoyun Tang , Haodong Cui , Keyao Xu , Kun Wang , Zhandong Mei

The response time of physical computational elements is finite, and neurons are no exception. In hierarchical models of cortical networks each layer thus introduces a response lag. This inherent property of physical dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-10-28 Paul Haider , Benjamin Ellenberger , Laura Kriener , Jakob Jordan , Walter Senn , Mihai A. Petrovici

Discovering governing equations of complex network dynamics is a fundamental challenge in contemporary science with rich data, which can uncover the mysterious patterns and mechanisms of the formation and evolution of complex phenomena in…

Artificial Intelligence · Computer Science 2024-11-12 Jiao Hu , Jiaxu Cui , Bo Yang

Recurrent neural policies are widely used in partially observable control and meta-RL tasks. Their abilities to maintain internal memory and adapt quickly to unseen scenarios have offered them unparalleled performance when compared to…

Machine Learning · Computer Science 2026-02-03 Jin Li , Yue Wu , Mengsha Huang , Yuhao Sun , Hao He , Xianyuan Zhan

Hyperdimensional (HD) computing is a set of neurally inspired methods for obtaining high-dimensional, low-precision, distributed representations of data. These representations can be combined with simple, neurally plausible algorithms to…

Machine Learning · Computer Science 2022-02-21 Anthony Thomas , Sanjoy Dasgupta , Tajana Rosing

Neural mass models describe the mean-field dynamics of populations of neurons. In this work we illustrate how fundamental ideas of physics, such as energy and conserved quantities, can be explored for such models. We show that…

Neurons and Cognition · Quantitative Biology 2025-09-15 Daniele Andrean , Morten Gram Pedersen

This paper proposes a neural network hybrid modeling framework for dynamics learning to promote an interpretable, computationally efficient way of dynamics learning and system identification. First, a low-level model will be trained to…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Yejiang Yang , Zihao Mo , Weiming Xiang

The enormous amount of data generated nowadays worldwide is increasingly triggering the search for unconventional and more efficient ways of processing and classifying information, eventually able to transcend the conventional…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Ewelina Wlaźlak , Dawid Przyczyna , Rafael Gutierrez , Gianaurelio Cuniberti , Konrad Szaciłowski

The computational capabilities of a neural network are widely assumed to be determined by its static architecture. Here we challenge this view by establishing that a fixed neural structure can operate in fundamentally different…

Neural and Evolutionary Computing · Computer Science 2025-09-24 Xia Chen

Regardless of the marked differences between biological and artificial neural systems, one fundamental similarity is that they are essentially dynamical systems that can learn to imitate other dynamical systems, without knowing their…

Neurons and Cognition · Quantitative Biology 2019-11-06 Zhixin Lu , Danielle S. Bassett

We are offering a particular interpretation (well within the range of experimentally and theoretically accepted notions) of neural connectivity and dynamics and discuss it as the data-and-process architecture of the visual system. In this…

Neurons and Cognition · Quantitative Biology 2014-07-08 Christoph von der Malsburg

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

Neurons and Cognition · Quantitative Biology 2019-10-22 Jens Wilting , Jonas Dehning , Joao Pinheiro Neto , Lucas Rudelt , Michael Wibral , Johannes Zierenberg , Viola Priesemann

Autonomous operation of service robotics in human-centric scenes remains challenging due to the need for understanding of changing environments and context-aware decision-making. While existing approaches like topological maps offer…

Robotics · Computer Science 2025-06-03 Jiawei Hou , Xiangyang Xue , Taiping Zeng

Neural mass models have been actively used since the 1970s to model the coarse grained activity of large populations of neurons and synapses. They have proven especially useful in understanding brain rhythms. However, although motivated by…

Neurons and Cognition · Quantitative Biology 2016-11-08 Stephen Coombes , Áine Byrne

Understanding the dynamics of large-scale brain models remains a central challenge due to the inherent complexity of these systems. In this work, we explore the emergence of complex spatiotemporal patterns in a large scale-brain model…

Neurons and Cognition · Quantitative Biology 2025-12-04 Rosa Maria Delicado , Gemma Huguet , Pau Clusella

How do humans and other animals learn new tasks? A wave of brain recording studies has investigated how neural representations change during task learning, with a focus on how tasks can be acquired and coded in ways that minimise mutual…

Neurons and Cognition · Quantitative Biology 2022-10-11 Timo Flesch , Andrew Saxe , Christopher Summerfield
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