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We complement our previous work [arxiv: 0707.0565] with the full (non diluted) solution describing the stable states of an attractor network that stores correlated patterns of activity. The new solution provides a good fit of simulations of…

Disordered Systems and Neural Networks · Physics 2007-07-23 Emilio Kropff

An important open question in computational neuroscience is how various spatially tuned neurons, such as place cells, are used to support the learning of reward-seeking behavior of an animal. Existing computational models either lack…

Neurons and Cognition · Quantitative Biology 2022-05-18 Yuanxiang Gao

Machine Learning for graphs is nowadays a research topic of consolidated relevance. Common approaches in the field typically resort to complex deep neural network architectures and demanding training algorithms, highlighting the need for…

Machine Learning · Computer Science 2020-05-12 Claudio Gallicchio , Alessio Micheli

Sequences of neuronal activation have long been implicated in a variety of brain functions. In particular, these sequences have been tied to memory formation and spatial navigation in the hippocampus, a region of mammalian brains.…

Neurons and Cognition · Quantitative Biology 2016-03-10 Zachary Roth

Common to all different kinds of recurrent neural networks (RNNs) is the intention to model relations between data points through time. When there is no immediate relationship between subsequent data points (like when the data points are…

Machine Learning · Computer Science 2022-12-22 Steffen Illium , Thore Schillman , Robert Müller , Thomas Gabor , Claudia Linnhoff-Popien

Recurrent neural networks are nowadays successfully used in an abundance of applications, going from text, speech and image processing to recommender systems. Backpropagation through time is the algorithm that is commonly used to train…

Machine Learning · Computer Science 2018-01-10 Cedric De Boom , Thomas Demeester , Bart Dhoedt

Continuous-Time Recurrent Neural Networks (CTRNNs) have been widely used for their capacity to model complex temporal behaviour. However, their internal dynamics often remain difficult to interpret. In this paper, we propose a new class of…

Disordered Systems and Neural Networks · Physics 2025-11-17 Miguel Aguilera , Daniele De Martino , Ivan Garashchuk , Dmitry Sinelshchikov

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

Deep Recurrent Neural Network architectures, though remarkably capable at modeling sequences, lack an intuitive high-level spatio-temporal structure. That is while many problems in computer vision inherently have an underlying high-level…

Computer Vision and Pattern Recognition · Computer Science 2016-04-12 Ashesh Jain , Amir R. Zamir , Silvio Savarese , Ashutosh Saxena

The single-layer feedforward neural network with random weights is a recurring motif in the neural networks literature. The advantage of these networks is their simplified training, which reduces to solving a ridge-regression problem. A…

Machine Learning · Computer Science 2025-02-25 M. Andrecut

Evolution and its intelligence element present thrill and challenges in its exploration. Yet, how species have memory, retrieve them and maintain continuity are the fundamental questions. Most of the phenomenon can only be hypothesised by…

Neurons and Cognition · Quantitative Biology 2024-07-09 Anil Kumar Sharma , Asha Sharma

Memory is an important cognitive function for humans. How a brain with such a small power can complete such a complex memory function, the working mechanism behind this is undoubtedly fascinating. Engram theory views memory as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-13 Hui Wei , Weihua Miao , Fushun Li

Artificial and natural neural network models are a new toolkit which could be potentially have been used for clarifying of complex brain functions. To attend this goal, such models need to be neurobiologically realistic. However, although…

Neurons and Cognition · Quantitative Biology 2022-07-08 Arsenii Onuchin

Over the long history of machine learning, which dates back several decades, recurrent neural networks (RNNs) have been used mainly for sequential data and time series and generally with 1D information. Even in some rare studies on 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Nguyen Huu Phong , Bernardete Ribeiro

A common approach for modeling the environment of an autonomous vehicle are dynamic occupancy grid maps, in which the surrounding is divided into cells, each containing the occupancy and velocity state of its location. Despite the advantage…

Robotics · Computer Science 2022-05-06 Marcel Schreiber , Vasileios Belagiannis , Claudius Gläser , Klaus Dietmayer

The hippocampus is an essential brain region for spatial memory and learning. Recently, a theoretical model of the hippocampus based on temporal difference (TD) learning has been published. Inspired by the successor representation (SR)…

Neurons and Cognition · Quantitative Biology 2024-02-08 Hyunsu Lee

Recurrent neural network is a powerful model that learns temporal patterns in sequential data. For a long time, it was believed that recurrent networks are difficult to train using simple optimizers, such as stochastic gradient descent, due…

Neural and Evolutionary Computing · Computer Science 2015-04-20 Tomas Mikolov , Armand Joulin , Sumit Chopra , Michael Mathieu , Marc'Aurelio Ranzato

We extend a recently introduced class of exactly solvable models for recurrent neural networks with competition between 1D nearest neighbour and infinite range information processing. We increase the potential for further frustration and…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. S. Skantzos , A. C. C. Coolen

Coded recurrent neural networks with three levels of sparsity are introduced. The first level is related to the size of messages, much smaller than the number of available neurons. The second one is provided by a particular coding rule,…

Machine Learning · Computer Science 2011-02-22 Vincent Gripon , Claude Berrou

Recent research has established a connection between modern Hopfield networks (HNs) and transformer attention heads, with guarantees of exponential storage capacity. However, these models still face challenges scaling storage efficiently.…

Machine Learning · Computer Science 2025-04-11 Saul Santos , António Farinhas , Daniel C. McNamee , André F. T. Martins