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In this article we introduce the p-adic cellular neural networks which are mathematical generalizations of the classical cellular neural networks (CNNs) introduced by Chua and Yang. The new networks have infinitely many cells which are…

Cellular Automata and Lattice Gases · Physics 2022-07-27 B. A. Zambrano-Luna , W. A. Zúñiga-Galindo

The first goal of this article is to introduce a new type of p-adic reaction-diffusion cellular neural network with delay. We study the stability of these networks and provide numerical simulations of their responses. The second goal is to…

Neural and Evolutionary Computing · Computer Science 2024-06-13 W. A. Zúñiga-Galindo , B. A. Zambrano-Luna , Baboucarr Dibba

Nowadays, Cellular Neural Networks (CNN) are practically implemented in parallel, analog computers, showing a fast developing trend. Physicist must be aware that such computers are appropriate for solving in an elegant manner practically…

Disordered Systems and Neural Networks · Physics 2016-02-17 Mária Ercsey-Ravasz , Tamás Roska , Zoltán Néda

We present a new class of quantum neural networks (QNNs) whose states are solutions of $p$-adic Schr\"{o}dinger equations with a non-local potential that controls the interaction between the neurons. These equations are obtained as Wick…

Quantum Physics · Physics 2026-03-31 W. A. Zúñiga-Galindo , B. A. Zambrano-Luna , Chayapuntika Indoung

Convolutional Neural Networks (CNNs) are a class of Artificial Neural Networks(ANNs) that employ the method of convolving input images with filter-kernels for object recognition and classification purposes. In this paper, we propose a…

Emerging Technologies · Computer Science 2018-08-20 Hengameh Bagherian , Scott Skirlo , Yichen Shen , Huaiyu Meng , Vladimir Ceperic , Marin Soljacic

During the last decade, Convolutional Neural Networks (CNNs) have become the de facto standard for various Computer Vision and Machine Learning operations. CNNs are feed-forward Artificial Neural Networks (ANNs) with alternating…

Signal Processing · Electrical Eng. & Systems 2019-05-10 Serkan Kiranyaz , Onur Avci , Osama Abdeljaber , Turker Ince , Moncef Gabbouj , Daniel J. Inman

Convolutional Neural Networks (CNNs) have been successfully applied to many computer vision tasks, such as image classification. By performing linear combinations and element-wise nonlinear operations, these networks can be thought of as…

Computer Vision and Pattern Recognition · Computer Science 2017-03-21 Kaicheng Yu , Mathieu Salzmann

The field of machine learning has taken a dramatic twist in recent times, with the rise of the Artificial Neural Network (ANN). These biologically inspired computational models are able to far exceed the performance of previous forms of…

Neural and Evolutionary Computing · Computer Science 2015-12-03 Keiron O'Shea , Ryan Nash

Partial differential equations (PDEs) are indispensable for modeling many physical phenomena and also commonly used for solving image processing tasks. In the latter area, PDE-based approaches interpret image data as discretizations of…

Machine Learning · Computer Science 2018-12-12 Lars Ruthotto , Eldad Haber

In the past few years, convolutional neural nets (CNN) have shown incredible promise for learning visual representations. In this paper, we use CNNs for the task of predicting surface normals from a single image. But what is the right…

Computer Vision and Pattern Recognition · Computer Science 2014-11-19 Xiaolong Wang , David F. Fouhey , Abhinav Gupta

Quantization of Convolutional Neural Networks (CNNs) is a common approach to ease the computational burden involved in the deployment of CNNs, especially on low-resource edge devices. However, fixed-point arithmetic is not natural to the…

Machine Learning · Computer Science 2024-06-14 Ido Ben-Yair , Gil Ben Shalom , Moshe Eliasof , Eran Treister

Graph learning is currently dominated by graph kernels, which, while powerful, suffer some significant limitations. Convolutional Neural Networks (CNNs) offer a very appealing alternative, but processing graphs with CNNs is not trivial. To…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Antoine Jean-Pierre Tixier , Giannis Nikolentzos , Polykarpos Meladianos , Michalis Vazirgiannis

While convolutional neural networks (CNNs) have recently made great strides in supervised classification of data structured on a grid (e.g. images composed of pixel grids), in several interesting datasets, the relations between features can…

Machine Learning · Computer Science 2018-11-02 Shrey Gadiya , Deepak Anand , Amit Sethi

Deep Convolutional Neural Network (CNN) is a special type of Neural Networks, which has shown exemplary performance on several competitions related to Computer Vision and Image Processing. Some of the exciting application areas of CNN…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Asifullah Khan , Anabia Sohail , Umme Zahoora , Aqsa Saeed Qureshi

Convolutional Neural Networks (CNNs) are the state-of-the-art algorithms for the processing of images. However the configuration and training of these networks is a complex task requiring deep domain knowledge, experience and much trial and…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Yaron Strauch , Jo Grundy

Deep Convolutional Neural Networks (CNNs) for image classification successively alternate convolutions and downsampling operations, such as pooling layers or strided convolutions, resulting in lower resolution features the deeper the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-29 Ioannis Vezakis , Antonios Vezakis , Sofia Gourtsoyianni , Vassilis Koutoulidis , George K. Matsopoulos , Dimitrios Koutsouris

Graph Convolutional Neural Networks (Graph CNNs) are generalizations of classical CNNs to handle graph data such as molecular data, point could and social networks. Current filters in graph CNNs are built for fixed and shared graph…

Machine Learning · Computer Science 2018-01-11 Ruoyu Li , Sheng Wang , Feiyun Zhu , Junzhou Huang

CNNs and computational models of biological vision share some fundamental principles, which opened new avenues of research. However, fruitful cross-field research is hampered by conventional CNN architectures being based on spatially and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Nergis Tomen , Silvia L. Pintea , Jan C. van Gemert

Convolutional Neural Networks (CNNs) are state-of-the-art models for document image classification tasks. However, many of these approaches rely on parameters and architectures designed for classifying natural images, which differ from…

Computer Vision and Pattern Recognition · Computer Science 2017-08-11 Chris Tensmeyer , Tony Martinez

While initially devised for image categorization, convolutional neural networks (CNNs) are being increasingly used for the pixelwise semantic labeling of images. However, the proper nature of the most common CNN architectures makes them…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Emmanuel Maggiori , Guillaume Charpiat , Yuliya Tarabalka , Pierre Alliez
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