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Decades of research on the neural code underlying spatial navigation have revealed a diverse set of neural response properties. The Entorhinal Cortex (EC) of the mammalian brain contains a rich set of spatial correlates, including grid…

Neurons and Cognition · Quantitative Biology 2018-05-11 Christopher J. Cueva , Xue-Xin Wei

A recurrent neural network with noisy input is studied analytically, on the basis of a Discrete Time Master Equation. The latter is derived from a biologically realizable learning rule for the weights of the connections. In a numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , W. A. van Leeuwen

Latent space models for network data characterize each node through a vector of latent features whose pairwise similarities define the edge probabilities among the pairs of nodes. Although this formulation has led to successful…

Methodology · Statistics 2026-04-06 Federico Pavone , Daniele Durante , Robin J. Ryder

Hippocampal cognitive map---a neuronal representation of the spatial environment---is broadly discussed in the computational neuroscience literature for decades. More recent studies point out that hippocampus plays a major role in producing…

Neurons and Cognition · Quantitative Biology 2017-10-18 Andrey Babichev , Yuri Dabaghian

This paper highlights the significance of including memory structures in neural networks when the latter are used to learn perception-action loops for autonomous robot navigation. Traditional navigation approaches rely on global maps of the…

Robotics · Computer Science 2017-05-24 Steven W Chen , Nikolay Atanasov , Arbaaz Khan , Konstantinos Karydis , Daniel D. Lee , Vijay Kumar

The mammalian hippocampus plays a principal role in producing a cognitive map of space---an internalized representation of the animal's environment. The neuronal mechanisms producing this map depend primarily on the temporal structure of…

Neurons and Cognition · Quantitative Biology 2016-03-22 Edward Basso , Mamiko Arai , Yuri Dabaghian

Humans communicate, receive, and store information using sequences of items -- from words in a sentence or notes in music to abstract concepts in lectures and books. The networks formed by these items (nodes) and the sequential transitions…

Physics and Society · Physics 2022-06-08 Christopher W. Lynn , Danielle S. Bassett

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

In complex systems, we often observe complex global behavior emerge from a collection of agents interacting with each other in their environment, with each individual agent acting only on locally available information, without knowing the…

Neural and Evolutionary Computing · Computer Science 2021-09-30 Yujin Tang , David Ha

Localized receptive fields -- neurons that are selective for certain contiguous spatiotemporal features of their input -- populate early sensory regions of the mammalian brain. Unsupervised learning algorithms that optimize explicit…

Machine Learning · Computer Science 2025-01-30 Leon Lufkin , Andrew M. Saxe , Erin Grant

We explore how different types and uses of memory can aid spatial navigation in changing uncertain environments. In the simple foraging task we study, every day, our agent has to find its way from its home, through barriers, to food.…

Artificial Intelligence · Computer Science 2026-02-18 Omid Madani , J. Brian Burns , Reza Eghbali , Thomas L. Dean

The fields of neural computation and artificial neural networks have developed much in the last decades. Most of the works in these fields focus on implementing and/or learning discrete functions or behavior. However, technical, physical,…

Neural and Evolutionary Computing · Computer Science 2016-06-15 Frieder Stolzenburg , Florian Ruh

It is widely believed that learning good representations is one of the main reasons for the success of deep neural networks. Although highly intuitive, there is a lack of theory and systematic approach quantitatively characterizing what…

Machine Learning · Computer Science 2018-11-30 Liwei Wang , Lunjia Hu , Jiayuan Gu , Yue Wu , Zhiqiang Hu , Kun He , John Hopcroft

We propose a dynamical neural network model with a hierarchical and modular structure. The network architecture can be derived by minimizing an energy function that is originally designed based on two kinds of neurons with quite different…

Neurons and Cognition · Quantitative Biology 2026-04-14 Kazuyoshi Tsutsumi , Ernst Niebur

Growing neuropsychological and neurophysiological evidence suggests that the visual cortex uses parts-based representations to encode, store and retrieve relevant objects. In such a scheme, objects are represented as a set of spatially…

Neurons and Cognition · Quantitative Biology 2015-03-13 Jenia Jitsev , Christoph von der Malsburg

Robots act in their environment through sequences of continuous motor commands. Because of the dimensionality of the motor space, as well as the infinite possible combinations of successive motor commands, agents need compact…

Robotics · Computer Science 2018-05-17 Michael Garcia Ortiz , Alban Laflaquière

Backpropagation-optimized artificial neural networks, while precise, lack robustness, leading to unforeseen behaviors that affect their safety. Biological neural systems do solve some of these issues already. Unlike artificial models,…

Neural and Evolutionary Computing · Computer Science 2025-02-04 Konstantin Holzhausen , Mia Merlid , Håkon Olav Torvik , Anders Malthe-Sørenssen , Mikkel Elle Lepperød

For energy-efficient computation in specialized neuromorphic hardware, we present spiking neural coding, an instantiation of a family of artificial neural models grounded in the theory of predictive coding. This model, the first of its…

Neural and Evolutionary Computing · Computer Science 2022-08-09 Alexander Ororbia

Continual learning is a key feature of biological neural systems, but artificial neural networks often suffer from catastrophic forgetting. Instead of backpropagation, biologically plausible learning algorithms may enable stable continual…

Neural and Evolutionary Computing · Computer Science 2025-08-19 Denis Larionov , Nikolay Bazenkov , Mikhail Kiselev

We introduce bio-inspired artificial neural networks consisting of neurons that are additionally characterized by spatial positions. To simulate properties of biological systems we add the costs penalizing long connections and the proximity…

Neural and Evolutionary Computing · Computer Science 2019-10-08 Maciej Wołczyk , Jacek Tabor , Marek Śmieja , Szymon Maszke