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The collective behavior of cortical neurons is strongly affected by the presence of noise at the level of individual cells. In order to study these phenomena in large-scale assemblies of neurons, we consider networks of firing-rate neurons…

Dynamical Systems · Mathematics 2015-03-27 Jonathan Touboul , Geoffroy Hermann , Olivier Faugeras

Convolutional Neural Networks (CNNs) currently achieve state-of-the-art accuracy in image classification. With a growing number of classes, the accuracy usually drops as the possibilities of confusion increase. Interestingly, the class…

Computer Vision and Pattern Recognition · Computer Science 2017-10-25 Bilal Alsallakh , Amin Jourabloo , Mao Ye , Xiaoming Liu , Liu Ren

Biological systems leverage top-down feedback for visual processing, yet most artificial vision models succeed in image classification using purely feedforward or recurrent architectures, calling into question the functional significance of…

Neurons and Cognition · Quantitative Biology 2025-08-12 Antonino Greco , Marco D'Alessandro , Karl J. Friston , Giovanni Pezzulo , Markus Siegel

We propose a novel approach to image classification inspired by complex nonlinear biological visual processing, whereby classical convolutional neural networks (CNNs) are equipped with learnable higher-order convolutions. Our model…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Simone Azeglio , Olivier Marre , Peter Neri , Ulisse Ferrari

Visual representation based on covariance matrix has demonstrates its efficacy for image classification by characterising the pairwise correlation of different channels in convolutional feature maps. However, pairwise correlation will…

Computer Vision and Pattern Recognition · Computer Science 2023-04-27 Saimunur Rahman , Piotr Koniusz , Lei Wang , Luping Zhou , Peyman Moghadam , Changming Sun

Sensory neurons give highly variable responses to stimulation, which can limit the amount of stimulus information available to downstream circuits. Much work has investigated the factors that affect the amount of information encoded in…

Neurons and Cognition · Quantitative Biology 2017-04-20 Joel Zylberberg , Alexandre Pouget , Peter E. Latham , Eric Shea-Brown

Neurons in the nervous system are submitted to distinct sources of noise, such as ionic-channel and synaptic noise, which introduces variability in their responses to repeated presentations of identical stimuli. This motivates the use of…

The solution of linear inverse problems arising, for example, in signal and image processing is a challenging problem since the ill-conditioning amplifies, in the solution, the noise present in the data. Recently introduced algorithms based…

Numerical Analysis · Mathematics 2024-02-08 Davide Evangelista , James Nagy , Elena Morotti , Elena Loli Piccolomini

The dynamics of local cortical networks are irregular, but correlated. Dynamic excitatory--inhibitory balance is a plausible mechanism that generates such irregular activity, but it remains unclear how balance is achieved and maintained in…

Neurons and Cognition · Quantitative Biology 2020-04-28 Alan Eric Akil , Robert Rosenbaum , Krešimir Josić

A central question of machine learning is how deep nets manage to learn tasks in high dimensions. An appealing hypothesis is that they achieve this feat by building a representation of the data where information irrelevant to the task is…

Machine Learning · Computer Science 2022-11-24 Umberto M. Tomasini , Leonardo Petrini , Francesco Cagnetta , Matthieu Wyart

Rotation invariance has been studied in the computer vision community primarily in the context of small in-plane rotations. This is usually achieved by building invariant image features. However, the problem of achieving invariance for…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Lokesh Boominathan , Suraj Srinivas , R. Venkatesh Babu

Data produced by resting-state functional Magnetic Resonance Imaging are widely used to infer brain functional connectivity networks. Such networks correlate neural signals to connect brain regions, which consist in groups of dependent…

Methodology · Statistics 2023-12-05 Hanâ Lbath , Alexander Petersen , Sophie Achard

Traditionally, the vision community has devised algorithms to estimate the distance between an original image and images that have been subject to perturbations. Inspiration was usually taken from the human visual perceptual system and how…

Machine Learning · Computer Science 2020-11-18 Alexander Hepburn , Valero Laparra , Jesús Malo , Ryan McConville , Raul Santos-Rodriguez

Convolutional Neural Networks (CNNs) have proven to be highly effective in solving a broad spectrum of computer vision tasks, such as classification, identification, and segmentation. These methods can be deployed in both centralized and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-12 Victor Forattini Jansen , Emanuel Teixeira Martins , Yasmin Souza Lima , Flavio de Oliveira Silva , Rodrigo Moreira , Larissa Ferreira Rodrigues Moreira

Synaptic plasticity allows cortical circuits to learn new tasks and to adapt to changing environments. How do cortical circuits use plasticity to acquire functions such as decision-making or working memory? Neurons are connected in complex…

Neurons and Cognition · Quantitative Biology 2023-03-08 Néstor Parga , Luis Serrano-Fernández , Joan Falcó-Roget

We describe how noise propagates through a network by calculating the variance of the outputs. Using stochastic calculus and dynamical systems theory, we study the network topologies that accentuate or alleviate the effect of random…

Molecular Networks · Quantitative Biology 2011-08-15 Dionysios Barmpoutis , Richard M. Murray

How does the size of a neural circuit influence its learning performance? Intuitively, we expect the learning capacity of a neural circuit to grow with the number of neurons and synapses. Larger brains tend to be found in species with…

Neurons and Cognition · Quantitative Biology 2019-05-09 Dhruva V Raman , Timothy O'Leary

Despite the remarkable similarities between convolutional neural networks (CNN) and the human brain, CNNs still fall behind humans in many visual tasks, indicating that there still exist considerable differences between the two systems.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Chi Zhang , Xiaohan Duan , Linyuan Wang , Yongli Li , Bin Yan , Guoen Hu , Ruyuan Zhang , Li Tong

Imitation learning enables high-fidelity, vision-based learning of policies within rich, photorealistic environments. However, such techniques often rely on traditional discrete-time neural models and face difficulties in generalizing to…

Machine Learning · Computer Science 2021-08-18 Charles Vorbach , Ramin Hasani , Alexander Amini , Mathias Lechner , Daniela Rus

The coherence resonance (CR) of globally coupled Hodgkin-Huxley neurons is studied. When the neurons are set in the subthreshold regime near the firing threshold, the additive noise induces limit cycles. The coherence of the system is…

Biological Physics · Physics 2009-10-31 Yuqing Wang , David T. W. Chik , Z. D. Wang
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