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We develop a statistical mechanical approach based on the replica method to study the design space of deep and wide neural networks constrained to meet a large number of training data. Specifically, we analyze the configuration space of the…

Disordered Systems and Neural Networks · Physics 2020-04-17 Hajime Yoshino

A common theoretical approach to understanding neural networks is to take an infinite-width limit, at which point the outputs become Gaussian process (GP) distributed. This is known as a neural network Gaussian process (NNGP). However, the…

Machine Learning · Statistics 2025-06-26 Ben Anson , Edward Milsom , Laurence Aitchison

Optical neural networks (ONNs) have gained significant attention due to their potential for high-speed and energy-efficient computation in artificial intelligence. The implementation of optical convolutions plays a vital role in ONNs, as…

Emerging Technologies · Computer Science 2023-08-23 Shiji Zhang , Haojun Zhou , Bo Wu , Xueyi Jiang , Dingshan Gao , Jing Xu , Jianji Dong , Xinliang Zhang

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

In this paper, we study novel neural network structures to better model long term dependency in sequential data. We propose to use more memory units to keep track of more preceding states in recurrent neural networks (RNNs), which are all…

Neural and Evolutionary Computing · Computer Science 2016-05-03 Rohollah Soltani , Hui Jiang

Learning with physical systems is an emerging paradigm that seeks to harness the intrinsic nonlinear dynamics of physical substrates for learning. The impetus for a paradigm shift in how hardware is used for computational intelligence stems…

Disordered Systems and Neural Networks · Physics 2026-04-28 Francesco Caravelli , Gianluca Milano , Adam Z. Stieg , Carlo Ricciardi , Simon Anthony Brown , Zdenka Kuncic

Deep learning for distribution grid optimization can be advocated as a promising solution for near-optimal yet timely inverter dispatch. The principle is to train a deep neural network (DNN) to predict the solutions of an optimal power flow…

Optimization and Control · Mathematics 2020-07-09 Manish K. Singh , Sarthak Gupta , Vassilis Kekatos , Guido Cavraro , Andrey Bernstein

Deep convolutional neural networks (CNN) have shown their promise as a universal representation for recognition. However, global CNN activations lack geometric invariance, which limits their robustness for classification and matching of…

Computer Vision and Pattern Recognition · Computer Science 2014-09-10 Yunchao Gong , Liwei Wang , Ruiqi Guo , Svetlana Lazebnik

Graph Neural Networks (GNNs) are prominent in handling sparse and unstructured data efficiently and effectively. Specifically, GNNs were shown to be highly effective for node classification tasks, where labelled information is available for…

Machine Learning · Computer Science 2022-12-01 Moshe Eliasof , Eldad Haber , Eran Treister

Since real-world objects and their interactions are often multi-modal and multi-typed, heterogeneous networks have been widely used as a more powerful, realistic, and generic superclass of traditional homogeneous networks (graphs).…

Social and Information Networks · Computer Science 2020-12-18 Carl Yang , Yuxin Xiao , Yu Zhang , Yizhou Sun , Jiawei Han

Spiking neural networks (SNNs) employing unsupervised learning methods inspired by neural plasticity are expected to be a new framework for artificial intelligence. In this study, we investigated the effect of multiple types of neural…

Neural and Evolutionary Computing · Computer Science 2026-01-19 Shinnosuke Touda , Hirotsugu Okuno

Fully Connected Neural Network (FCNN) is a class of Artificial Neural Networks widely used in computer science and engineering, whereas the training process can take a long time with large datasets in existing many-core systems. Optical…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Fei Dai , Yawen Chen , Haibo Zhang , Zhiyi Huang

Graph Neural Networks (GNNs) are limited in their propagation operators. In many cases, these operators often contain non-negative elements only and are shared across channels, limiting the expressiveness of GNNs. Moreover, some GNNs suffer…

Machine Learning · Computer Science 2023-05-08 Moshe Eliasof , Lars Ruthotto , Eran Treister

Neural architecture search (NAS) automatically finds the best task-specific neural network topology, outperforming many manual architecture designs. However, it can be prohibitively expensive as the search requires training thousands of…

Machine Learning · Computer Science 2020-12-21 Chris Zhang , Mengye Ren , Raquel Urtasun

Continuous-depth neural networks, such as Neural ODEs, have refashioned the understanding of residual neural networks in terms of non-linear vector-valued optimal control problems. The common solution is to use the adjoint sensitivity…

Machine Learning · Computer Science 2022-02-16 Andrew Corbett , Dmitry Kangin

The Convolutional Neural Network (CNN) has been successfully applied in many fields during recent decades; however it lacks the ability to utilize prior domain knowledge when dealing with many realistic problems. We present a framework…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Yangling Ma , Yixin Luo , Zhouwang Yang

We present a novel Convolutional Neural Network (CNN) based approach for one class classification. The idea is to use a zero centered Gaussian noise in the latent space as the pseudo-negative class and train the network using the…

Computer Vision and Pattern Recognition · Computer Science 2019-01-28 Poojan Oza , Vishal M. Patel

Graph Neural Networks (GNNs) have received considerable attention on graph-structured data learning for a wide variety of tasks. The well-designed propagation mechanism which has been demonstrated effective is the most fundamental part of…

Machine Learning · Computer Science 2021-01-29 Meiqi Zhu , Xiao Wang , Chuan Shi , Houye Ji , Peng Cui

This work presents a neural network that consists of nodes with heterogeneous sensitivity. Each node in a network is assigned a variable that determines the sensitivity with which it learns to perform a given task. The network is trained by…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Hyunjoong Cho , Jinhyeok Jang , Chanhyeok Lee , Seungjoon Yang

Neural operators (NOs) are a class of deep learning models designed to simultaneously solve infinitely many related problems by casting them into an infinite-dimensional space, whereon these NOs operate. A significant gap remains between…

Machine Learning · Computer Science 2025-08-22 Anastasis Kratsios , Ariel Neufeld , Philipp Schmocker