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Nonlinear reaction-diffusion systems admit a wide variety of spatiotemporal patterns or structures. In this lecture, we point out that there is certain advantage in studying discrete arrays, namely cellular neural/nonlinear networks (CNNs),…

Pattern Formation and Solitons · Physics 2007-05-23 M. Lakshmanan , P. Muruganandam

Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

Machine Learning · Computer Science 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

Convolutional neural networks (CNNs) are one of the most popular models of Artificial Neural Networks (ANN)s in Computer Vision (CV). A variety of CNN-based structures were developed by researchers to solve problems like image…

Computer Vision and Pattern Recognition · Computer Science 2022-09-30 Bowen Qiu , Daniela Raicu , Jacob Furst , Roselyne Tchoua

Central Pattern Generators (CPGs) in invertebrates are comprised of networks of neurons in which every neuron has reciprocal connections to other members of the CPG. This is a ``closed'' network topology. An ``open'' topology, where one or…

chao-dyn · Physics 2007-05-23 R. Huerta , P. Varona , M. I. Rabinovich , Henry D. I. Abarbanel

Real-world face recognition requires an ability to perceive the unique features of an individual face across multiple, variable images. The primate visual system solves the problem of image invariance using cascades of neurons that convert…

Computer Vision and Pattern Recognition · Computer Science 2019-11-15 Matthew Q. Hill , Connor J. Parde , Carlos D. Castillo , Y. Ivette Colon , Rajeev Ranjan , Jun-Cheng Chen , Volker Blanz , Alice J. O'Toole

Disentangling coherent and incoherent effects in the photoemission spectra of strongly correlated materials is generally a challenging problem due to the involvement of numerous parameters. In this study, we employ machine learning…

Superconductivity · Physics 2024-12-17 K. H. Bohachov , A. A. Kordyuk

Recurrent Neural Network (RNN) has been widely applied for sequence modeling. In RNN, the hidden states at current step are full connected to those at previous step, thus the influence from less related features at previous step may…

Computation and Language · Computer Science 2017-05-04 Danhao Zhu , Si Shen , Xin-Yu Dai , Jiajun Chen

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

A central challenge in neuroscience is to understand neural computations and circuit mechanisms that underlie the encoding of ethologically relevant, natural stimuli. In multilayered neural circuits, nonlinear processes such as synaptic…

Neurons and Cognition · Quantitative Biology 2017-02-09 Lane T. McIntosh , Niru Maheswaranathan , Aran Nayebi , Surya Ganguli , Stephen A. Baccus

Computational models of vision have traditionally been developed in a bottom-up fashion, by hierarchically composing a series of straightforward operations - i.e. convolution and pooling - with the aim of emulating simple and complex cells…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Simone Azeglio , Simone Poetto , Luca Savant Aira , Marco Nurisso

Optical computing has gained significant attention as a potential solution to the growing computational demands of machine learning, particularly for tasks requiring large-scale data processing and high energy efficiency. Optical systems…

Optics · Physics 2024-11-04 Bahadır Utku Kesgin , Uğur Teğin

This study investigates the behavior of Causal Convolutional Neural Networks (CNNs) with quasi-linear activation functions when applied to time-series data characterized by multimodal frequency content. We demonstrate that, once trained,…

Machine Learning · Computer Science 2025-10-29 Kiran Bacsa , Wei Liu , Xudong Jian , Huangbin Liang , Eleni Chatzi

The ability to decompose scenes into their object components is a desired property for autonomous agents, allowing them to reason and act in their surroundings. Recently, different methods have been proposed to learn object-centric…

Computer Vision and Pattern Recognition · Computer Science 2022-01-11 Angel Villar-Corrales , Sven Behnke

Neural networks are increasingly employed to model, analyze and control non-linear dynamical systems ranging from physics to biology. Owing to their universal approximation capabilities, they regularly outperform state-of-the-art…

Dynamical Systems · Mathematics 2023-12-27 Alessandro Corbetta , Thomas Geert de Jong

The primate visual cortex exhibits topographic organization, where functionally similar neurons are spatially clustered, a structure widely believed to enhance neural processing efficiency. While prior works have demonstrated that…

Neural and Evolutionary Computing · Computer Science 2025-11-24 Deming Zhou , Yuetong Fang , Zhaorui Wang , Renjing Xu

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

Visual illusions teach us that what we see is not always what it is represented in the physical world. Its special nature make them a fascinating tool to test and validate any new vision model proposed. In general, current vision models are…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Alexander Gomez-Villa , Adrián Martín , Javier Vazquez-Corral , Marcelo Bertalmío

Recurrent neural networks (RNNs) are complex dynamical systems, capable of ongoing activity without any driving input. The long-term behavior of free-running RNNs, described by periodic, chaotic and fixed point attractors, is controlled by…

Neurons and Cognition · Quantitative Biology 2021-08-06 Claus Metzner , Patrick Krauss

Deep convolutional neural networks (CNNs) have structures that are loosely related to that of the primate visual cortex. Surprisingly, when these networks are trained for object classification, the activity of their early, intermediate, and…

Neurons and Cognition · Quantitative Biology 2016-10-18 Omid Rezai , Pinar Boyraz Jentsch , Bryan Tripp

Change detection is one of the central problems in earth observation and was extensively investigated over recent decades. In this paper, we propose a novel recurrent convolutional neural network (ReCNN) architecture, which is trained to…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Lichao Mou , Lorenzo Bruzzone , Xiao Xiang Zhu
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