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We replace the output layer of deep neural nets, typically the softmax function, by a novel interpolating function. And we propose end-to-end training and testing algorithms for this new architecture. Compared to classical neural nets with…

Machine Learning · Computer Science 2018-06-19 Bao Wang , Xiyang Luo , Zhen Li , Wei Zhu , Zuoqiang Shi , Stanley J. Osher

Conventional deep neural nets (DNNs) initialize network parameters at random and then optimize each one via stochastic gradient descent (SGD), resulting in substantial risk of poor-performing local minima. Focusing on image interpolation…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Xue Zhang , Bingshuo Hu , Gene Cheung

In this paper, we propose a novel activation function tailored specifically for graph data in Graph Neural Networks (GNNs). Motivated by the need for graph-adaptive and flexible activation functions, we introduce DiGRAF, leveraging…

In recent years, deep neural networks (DNNs) have known an important rise in popularity. However, although they are state-of-the-art in many machine learning challenges, they still suffer from several limitations. For example, DNNs require…

Machine Learning · Computer Science 2021-10-11 Carlos Lassance , Myriam Bontonou , Mounia Hamidouche , Bastien Pasdeloup , Lucas Drumetz , Vincent Gripon

Graph neural networks (GNNs) have been shown to replicate convolutional neural networks' (CNNs) superior performance in many problems involving graphs. By replacing regular convolutions with linear shift-invariant graph filters (LSI-GFs),…

Machine Learning · Computer Science 2019-02-12 Luana Ruiz , Fernando Gama , Antonio G. Marques , Alejandro Ribeiro

Understanding the inner working mechanism of deep neural networks (DNNs) is essential and important for researchers to design and improve the performance of DNNs. In this work, the entropy analysis is leveraged to study the neurons…

Computer Vision and Pattern Recognition · Computer Science 2019-11-06 Longwei Wang , Peijie Chen

In this paper, we explore a novel model reusing task tailored for graph neural networks (GNNs), termed as "deep graph reprogramming". We strive to reprogram a pre-trained GNN, without amending raw node features nor model parameters, to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Yongcheng Jing , Chongbin Yuan , Li Ju , Yiding Yang , Xinchao Wang , Dacheng Tao

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Deep neural network (DNN) generally takes thousands of iterations to optimize via gradient descent and thus has a slow convergence. In addition, softmax, as a decision layer, may ignore the distribution information of the data during…

Machine Learning · Computer Science 2021-06-16 Rui Zhang , Ziheng Jiao , Hongyuan Zhang , Xuelong Li

Graph neural networks are recognized for their strong performance across various applications, with the backpropagation algorithm playing a central role in the development of most GNN models. However, despite its effectiveness, BP has…

Machine Learning · Computer Science 2024-11-06 Gongpei Zhao , Tao Wang , Congyan Lang , Yi Jin , Yidong Li , Haibin Ling

Standard deep learning architectures used for classification generate label predictions with a projection head and softmax activation function. Although successful, these methods fail to leverage the relational information between samples…

Machine Learning · Computer Science 2025-12-10 Jason Brown , Bohan Chen , Harris Hardiman-Mostow , Jeff Calder , Andrea L. Bertozzi

Graphs play an important role in many applications. Recently, Graph Neural Networks (GNNs) have achieved promising results in graph analysis tasks. Some state-of-the-art GNN models have been proposed, e.g., Graph Convolutional Networks…

Machine Learning · Computer Science 2021-09-29 Yaoman Li , Irwin King

Graph Neural Networks (GNNs) are non-Euclidean deep learning models for graph-structured data. Despite their successful and diverse applications, oversmoothing prohibits deep architectures due to node features converging to a single fixed…

Machine Learning · Computer Science 2024-12-06 Arseny Skryagin , Felix Divo , Mohammad Amin Ali , Devendra Singh Dhami , Kristian Kersting

We address the efficiency issue for the construction of a deep graph neural network (GNN). The approach exploits the idea of representing each input graph as a fixed point of a dynamical system (implemented through a recurrent neural…

Machine Learning · Computer Science 2019-11-21 Claudio Gallicchio , Alessio Micheli

Deep Graph Neural Networks (GNNs) are essential for capturing complex dependencies in graph-structured data. However, scaling GNNs to depth remains challenging, as stacking layers leads to representation collapse and diminishing sensitivity…

Machine Learning · Computer Science 2026-05-26 Rémi Bourgerie , Šarūnas Girdzijauskas , Viktoria Fodor

A recurrent neural network (RNN) is a universal approximator of dynamical systems, whose performance often depends on sensitive hyperparameters. Tuning of such hyperparameters may be difficult and, typically, based on a trial-and-error…

Neural and Evolutionary Computing · Computer Science 2017-02-22 Filippo Maria Bianchi , Lorenzo Livi , Cesare Alippi , Robert Jenssen

We propose to execute deep neural networks (DNNs) with dynamic and sparse graph (DSG) structure for compressive memory and accelerative execution during both training and inference. The great success of DNNs motivates the pursuing of…

Machine Learning · Computer Science 2019-05-08 Liu Liu , Lei Deng , Xing Hu , Maohua Zhu , Guoqi Li , Yufei Ding , Yuan Xie

Processing visual data on mobile devices has many applications, e.g., emergency response and tracking. State-of-the-art computer vision techniques rely on large Deep Neural Networks (DNNs) that are usually too power-hungry to be deployed on…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Ishmeet Kaur , Adwaita Janardhan Jadhav

This paper proposes a new learning paradigm called filter grafting, which aims to improve the representation capability of Deep Neural Networks (DNNs). The motivation is that DNNs have unimportant (invalid) filters (e.g., l1 norm close to…

Computer Vision and Pattern Recognition · Computer Science 2020-02-27 Fanxu Meng , Hao Cheng , Ke Li , Zhixin Xu , Rongrong Ji , Xing Sun , Gaungming Lu

Modern neuroimaging techniques, such as diffusion tensor imaging (DTI) and functional magnetic resonance imaging (fMRI), enable us to model the human brain as a brain network or connectome. Capturing brain networks' structural information…

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