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Cellular automata provide models of parallel computation based on cells, whose connectivity is given by an action of a monoid on the cells. At each step in the computation, every cell is decorated with a state that evolves in discrete steps…

Logic in Computer Science · Computer Science 2025-12-17 Henning Basold , Chase Ford , Lulof Pirée

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

Computer Vision and Pattern Recognition · Computer Science 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

In this review, we describe the singular success of attractor neural network models in describing how the brain maintains persistent activity states for working memory, error-corrects, and integrates noisy cues. We consider the mechanisms…

Neurons and Cognition · Quantitative Biology 2022-03-03 Mikail Khona , Ila R. Fiete

Neuronal circuits of the cerebral cortex are the structural basis of mammalian cognition. The same qualitative components and connectivity motifs are repeated across functionally specialized cortical areas and mammalian species, suggesting…

Neurons and Cognition · Quantitative Biology 2025-07-04 Arno Granier , Katharina A Wilmes , Mihai A Petrovici , Walter Senn

We introduce a novel framework of reservoir computing. Cellular automaton is used as the reservoir of dynamical systems. Input is randomly projected onto the initial conditions of automaton cells and nonlinear computation is performed on…

Neural and Evolutionary Computing · Computer Science 2014-10-02 Ozgur Yilmaz

In the mammalian brain newly acquired memories depend on the hippocampus for maintenance and recall, but over time these functions are taken over by the neocortex through a process called systems consolidation. However, reactivation of a…

Neurons and Cognition · Quantitative Biology 2019-03-29 Peter Helfer , Thomas R. Shultz

Patterns are fundamental to human cognition, enabling the recognition of structure and regularity across diverse domains. In this work, we focus on structural repeats, patterns that arise from the repetition of hierarchical relations within…

Computation and Language · Computer Science 2025-04-15 Zeng Ren , Xinyi Guan , Martin Rohrmeier

A growing body of research indicates that structural plasticity mechanisms are crucial for learning and memory consolidation. Starting from a simple phenomenological model, we exploit a mean-field approach to develop a theoretical framework…

Neurons and Cognition · Quantitative Biology 2024-06-19 Gianmarco Tiddia , Luca Sergi , Bruno Golosio

In this paper we present two interesting properties of stochastic cellular automata that can be helpful in analyzing the dynamical behavior of such automata. The first property allows for calculating cell-wise probability distributions over…

Formal Languages and Automata Theory · Computer Science 2015-08-20 Witold Bołt , Jan M. Baetens , Bernard DeBaets

Humans and animals developed a sophisticated motor control apparatus and there is much evidence that it has a modular structure. The modularity offers a range of benefits, e.g. ability to learn dissociable motion styles without interference…

Robotics · Computer Science 2016-05-20 Kirill Makukhin

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

Computational models can advance affective science by shedding light onto the interplay between cognition and emotion from an information processing point of view. We propose a computational model of emotion that integrates reinforcement…

Human-Computer Interaction · Computer Science 2023-10-27 Jiayi Zhang , Joost Broekens , Jussi Jokinen

The paper proposes a simple formalism for dealing with deterministic, non-deterministic and stochastic cellular automata in a unifying and composable manner. Armed with this formalism, we extend the notion of intrinsic simulation between…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Pablo Arrighi , Nicolas Schabanel , Guillaume Theyssier

Mental simulation is a critical cognitive function for goal-directed behavior because it is essential for assessing actions and their consequences. When a self-generated or externally specified goal is given, a sequence of actions that is…

Robotics · Computer Science 2019-03-13 Minju Jung , Takazumi Matsumoto , Jun Tani

The complexity of cellular automata is traditionally measured by their computational capacity. However, it is difficult to choose a challenging set of computational tasks suitable for the parallel nature of such systems. We study the…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Barbora Hudcová , Tomáš Mikolov

To solve a navigation task based on experiences, we need a mechanism to associate places with objects and to recall them along the course of action. In a reward-oriented task, if the route to a reward location is simulated in mind after…

Neurons and Cognition · Quantitative Biology 2024-10-28 Hiroki Nakagawa , Katsumi Tateno , Kensuke Takada , Takashi Morie

Based on existing data, we wish to put forward a biological model of motor system on the neuron scale. Then we indicate its implications in statistics and learning. Specifically, neuron firing frequency and synaptic strength are probability…

Neurons and Cognition · Quantitative Biology 2014-07-28 Peilei Liu , Ting Wang

Recording simultaneous activity of hundreds of neurons is now possible. Existing methods can model such population activity, but do not directly reveal the computations used by the brain. We present a fully unsupervised method that models…

Neurons and Cognition · Quantitative Biology 2020-03-24 Connor Brennan , Alex Proekt

A biological regulatory network can be modeled as a discrete function that contains all available information on network component interactions. From this function we can derive a graph representation of the network structure as well as of…

Discrete Mathematics · Computer Science 2009-10-09 Heike Siebert

Symbolic models or abstractions are known to be powerful tools for the control design of cyber-physical systems (CPSs) with logic specifications. In this paper, we investigate a novel learning-based approach to the construction of symbolic…

Systems and Control · Electrical Eng. & Systems 2022-08-04 Kazumune Hashimoto , Adnane Saoud , Masako Kishida , Toshimitsu Ushio , Dimos Dimarogonas