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Classical artificial neural networks have witnessed widespread successes in machine-learning applications. Here, we propose fermion neural networks (FNNs) whose physical properties, such as local density of states or conditional…

Quantum Physics · Physics 2023-10-04 Pei-Lin Zheng , Jia-Bao Wang , Yi Zhang

Recent advances in general-purpose AI systems with attention-based transformers offer a potential window into how the neocortex and cerebellum, despite their relatively uniform circuit architectures, give rise to diverse functions and,…

Neurons and Cognition · Quantitative Biology 2025-12-03 Shogo Ohmae , Keiko Ohmae

In the present paper, we construct what we call a pedagogical universal Turing machine. We try to understand which comparisons with biological phenomena can be deduced from its encoding and from its working.

Formal Languages and Automata Theory · Computer Science 2021-10-19 Maurice Margenstern

Analog computation is an alternative to digital computation, that has recently re-gained prominence, since it includes neural networks and neuromorphic computing. Further important examples are cellular automata and differential analyzers.…

Dynamical Systems · Mathematics 2026-01-14 Levin Hornischer

In our understanding, a mind-map is an adaptive engine that basically works incrementally on the fundament of existing transactional streams. Generally, mind-maps consist of symbolic cells that are connected with each other and that become…

Neural and Evolutionary Computing · Computer Science 2009-02-19 Claudine Brucks , Michael Hilker , Christoph Schommer , Cynthia Wagner , Ralph Weires

Animal behavior reflects interactions between the nervous system, body, and environment. Therefore, biomechanics and environmental context must be considered to understand algorithms for behavioral control. Neuromechanical digital twins,…

Neurons and Cognition · Quantitative Biology 2026-04-14 Sibo Wang-Chen , Pavan Ramdya

One of the defining features of living systems is their adaptability to changing environmental conditions. This requires organisms to extract temporal and spatial features of their environment, and use that information to compute the…

Neurons and Cognition · Quantitative Biology 2024-02-27 Maria Sol Vidal-Saez , Oscar Vilarroya , Jordi Garcia-Ojalvo

This paper goes back to Turing (1936) and treats his machine as a cognitive model (W,D,B), where W is an "external world" represented by memory device (the tape divided into squares), and (D,B) is a simple robot that consists of the…

Artificial Intelligence · Computer Science 2007-05-23 Victor Eliashberg

The Feynman learning technique is an active learning strategy that helps learners simplify complex information through student-led teaching and discussion. In this paper, we present the development and usability testing of the Feynman Bot,…

Physics Education · Physics 2025-06-12 Akshaya Rajesh , Sumbul Khan

Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of universality that applies to arbitrary discrete time symbolic dynamical…

Computational Complexity · Computer Science 2007-05-23 Jean-Charles Delvenne , Petr Kurka , Vincent Blondel

Animals thrive in a constantly changing environment and leverage the temporal structure to learn well-factorized causal representations. In contrast, traditional neural networks suffer from forgetting in changing environments and many…

Artificial Intelligence · Computer Science 2024-07-25 Ali Hummos

'If I cannot build it, I do not understand it.' So said Nobel laureate Richard Feynman, and by his metric, we understand a bit about physics, less about chemistry, and almost nothing about biology. When we fully understand a phenomenon, we…

Neurons and Cognition · Quantitative Biology 2017-04-13 Richard Granger

By dynamic planning, we refer to the ability of the human brain to infer and impose motor trajectories related to cognitive decisions. A recent paradigm, active inference, brings fundamental insights into the adaptation of biological…

Artificial Intelligence · Computer Science 2024-11-13 Matteo Priorelli , Ivilin Peev Stoianov

We model human and animal learning by computing with high-dimensional vectors (H = 10,000 for example). The architecture resembles traditional (von Neumann) computing with numbers, but the instructions refer to vectors and operate on them…

Machine Learning · Computer Science 2026-02-24 Pentti Kanerva

Brain-Computer Interface (BCI) is a rapidly developing technology that allows direct communications between the human brain and external devices, such as robotic arms and computers. Bayesian Networks is a powerful tool in machine learning…

Signal Processing · Electrical Eng. & Systems 2022-06-16 Pingsheng Li

Recent advances in machine learning, particularly deep learning, have enabled autonomous systems to perceive and comprehend objects and their environments in a perceptual subsymbolic manner. These systems can now perform object detection,…

Artificial Intelligence · Computer Science 2023-09-13 Amr Gomaa , Michael Feld

Uncovering the fundamental neural correlates of biological intelligence, developing mathematical models, and conducting computational simulations are critical for advancing new paradigms in artificial intelligence (AI). In this study, we…

Neural and Evolutionary Computing · Computer Science 2024-09-05 Jie Su , Fang Cai , Shu-Kuo Zhao , Xin-Yi Wang , Tian-Yi Qian , Da-Hui Wang , Bo Hong

It is well known that physical phenomena may be of great help in computing some difficult problems efficiently. A typical example is prime factorization that may be solved in polynomial time by exploiting quantum entanglement on a quantum…

Emerging Technologies · Computer Science 2018-05-23 Massimiliano Di Ventra , Fabio L. Traversa

Universality in cellular automata theory is a central problem studied and developed from their origins by John von Neumann. In this paper, we present an algorithm where any Turing machine can be converted to one-dimensional cellular…

Cellular Automata and Lattice Gases · Physics 2019-07-10 Sergio J. Martinez , Ivan M. Mendoza , Genaro J. Martinez , Shigeru Ninagawa
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