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A topos theoretic generalisation of the category of sets allows for modelling spaces which vary according to time intervals. Persistent homology, or more generally, persistence is a central tool in topological data analysis, which examines…

环与代数 · 数学 2015-06-23 João Pita Costa , Mikael Vejdemo Johansson , Primož Škraba

Topological data analysis can provide insight on the structure of weighted graphs and digraphs. However, some properties underlying a given (di)graph are hardly mappable to simplicial complexes. We introduce \textit{steady} and…

计算几何 · 计算机科学 2022-08-30 Mattia G. Bergomi , Massimo Ferri , Antonella Tavaglione

Perceiving the surrounding environment in terms of objects is useful for any general purpose intelligent agent. In this paper, we investigate a fundamental mechanism making object perception possible, namely the identification of…

人工智能 · 计算机科学 2018-10-12 Nicolas Le Hir , Olivier Sigaud , Alban Laflaquière

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

物理与社会 · 物理学 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

Biological networks of interacting agents exhibit similar topological properties for a wide range of scales, from cellular to ecological levels, suggesting the existence of a common evolutionary origin. A general evolutionary mechanism…

无序系统与神经网络 · 物理学 2010-10-25 Juan I. Perotti , Orlando V. Billoni , Francisco A. Tamarit , Sergio A. Cannas

The network architecture of the human brain has become a feature of increasing interest to the neuroscientific community, largely because of its potential to illuminate human cognition, its variation over development and aging, and its…

神经元与认知 · 定量生物学 2016-11-07 Richard F. Betzel , Danielle S. Bassett

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

神经元与认知 · 定量生物学 2020-12-02 Hui Wei

Synaptic connections between neurons in the brain are dynamic because of continuously ongoing spine dynamics, axonal sprouting, and other processes. In fact, it was recently shown that the spontaneous synapse-autonomous component of spine…

神经元与认知 · 定量生物学 2018-01-08 David Kappel , Robert Legenstein , Stefan Habenschuss , Michael Hsieh , Wolfgang Maass

The generalization properties of an attractive network of non monotonic neurons which infers concepts from samples are studied. The macroscopic dynamics for the overlap between the state of the neurons with the concepts, well as the…

统计力学 · 物理学 2009-10-31 D. R. C. Dominguez

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…

神经元与认知 · 定量生物学 2026-04-14 Kazuyoshi Tsutsumi , Ernst Niebur

A cognitive map is an internal model which encodes the abstract relationships among entities in the world, giving humans and animals the flexibility to adapt to new situations, with a strong out-of-distribution (OOD) generalization that…

机器学习 · 计算机科学 2026-05-12 Victor Rambaud , Salvador Mascarenhas , Yair Lakretz

In a manner similar to the molecular chaos that underlies the stable thermodynamics of gases, neuronal system may exhibit microscopic instability in individual neuronal dynamics while a macroscopic order of the entire population possibly…

神经元与认知 · 定量生物学 2015-06-23 Yuzuru Yamanaka , Shun-ichi Amari , Shigeru Shinomoto

The hippocampus has been associated with both spatial cognition and episodic memory formation, but integrating these functions into a unified framework remains challenging. Here, we demonstrate that forming discrete memories of visual…

人工智能 · 计算机科学 2024-05-24 Adrian F. Amil , Ismael T. Freire , Paul F. M. J. Verschure

During sleep, the hippocampus recapitulates neuronal patterns corresponding to behavioral trajectories during previous experiences. This hippocampal replay supports the formation of long-term memories. Yet, whether replay originates within…

神经元与认知 · 定量生物学 2022-05-06 Adrien Peyrache

We introduce a new memory architecture for navigation in previously unseen environments, inspired by landmark-based navigation in animals. The proposed semi-parametric topological memory (SPTM) consists of a (non-parametric) graph with…

机器学习 · 计算机科学 2018-03-05 Nikolay Savinov , Alexey Dosovitskiy , Vladlen Koltun

A naive model of many networked logistic maps with an excitation type coupling [Neural Networks, vol. 20, 102--108 (2007)], which is an extension of other low dimensional models, has been recently proposed to mimic the waking-sleeping…

混沌动力学 · 物理学 2009-06-13 Ricardo Lopez-Ruiz , Daniele Fournier-Prunaret

Precise timing of spikes and temporal locking are key elements of neural computation. Here we demonstrate how even strongly heterogeneous, deterministic neural networks with delayed interactions and complex topology can exhibit periodic…

神经元与认知 · 定量生物学 2009-11-13 Raoul-Martin Memmesheimer , Marc Timme

In this paper we explain the strikingly regular activity of the 'grid' cells in rodent dorsal medial entorhinal cortex (dMEC) and the spatially localized activity of the hippocampal place cells in CA3 and CA1 by assuming that the…

神经元与认知 · 定量生物学 2008-04-22 Andras Lorincz , Melinda Kiszlinger , Gabor Szirtes

Biological neural networks are characterized by their high degree of plasticity, a core property that enables the remarkable adaptability of natural organisms. Importantly, this ability affects both the synaptic strength and the topology of…

神经与进化计算 · 计算机科学 2024-06-17 Erwan Plantec , Joachin W. Pedersen , Milton L. Montero , Eleni Nisioti , Sebastian Risi

Biological nervous systems constitute important sources of inspiration towards computers that are faster, cheaper, and more energy efficient. Neuromorphic disciplines view the brain as a coevolved system, simultaneously optimizing the…

神经与进化计算 · 计算机科学 2025-09-18 Jens Egholm Pedersen , Jörg Conradt , Tony Lindeberg