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In this paper we investigate the family of functions representable by deep neural networks (DNN) with rectified linear units (ReLU). We give an algorithm to train a ReLU DNN with one hidden layer to *global optimality* with runtime…

Machine Learning · Computer Science 2018-03-01 Raman Arora , Amitabh Basu , Poorya Mianjy , Anirbit Mukherjee

Natural Language Processing (NLP) operations, such as semantic sentiment analysis and text synthesis, often raise privacy concerns and demand significant on-device computational resources. Centralized learning (CL) on the edge provides an…

Machine Learning · Computer Science 2025-07-08 Ahmed Y. Radwan , Mohammad Shehab , Mohamed-Slim Alouini

Machine unlearning allows data owners to erase the impact of their specified data from trained models. Unfortunately, recent studies have shown that adversaries can recover the erased data, posing serious threats to user privacy. An…

Cryptography and Security · Computer Science 2025-03-04 Weiqi Wang , Chenhan Zhang , Zhiyi Tian , Shushu Liu , Shui Yu

Convolutional neural networks (CNNs) have been widely used over many areas in compute vision. Especially in classification. Recently, FlowNet and several works on opti- cal estimation using CNNs shows the potential ability of CNNs in doing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-05 Junxuan Li

Convolutional Neural Networks (CNNs) achieve high performance in image classification tasks but are challenging to deploy on resource-limited hardware due to their large model sizes. To address this issue, we leverage Mutual Information, a…

Machine Learning · Computer Science 2024-11-28 Tien Vu-Van , Dat Du Thanh , Nguyen Ho , Mai Vu

A new collaborative learning, called split learning, was recently introduced, aiming to protect user data privacy without revealing raw input data to a server. It collaboratively runs a deep neural network model where the model is split…

Cryptography and Security · Computer Science 2020-03-30 Sharif Abuadbba , Kyuyeon Kim , Minki Kim , Chandra Thapa , Seyit A. Camtepe , Yansong Gao , Hyoungshick Kim , Surya Nepal

Convolutional neural networks (CNNs) have succeeded in many practical applications. However, their high computation and storage requirements often make them difficult to deploy on resource-constrained devices. In order to tackle this issue,…

Machine Learning · Computer Science 2022-01-14 Tianzong Yu , Chunyuan Zhang , Yuan Wang , Meng Ma , Qi Song

The choice of activation function can have a large effect on the performance of a neural network. While there have been some attempts to hand-engineer novel activation functions, the Rectified Linear Unit (ReLU) remains the most…

Machine Learning · Computer Science 2020-04-14 Garrett Bingham , William Macke , Risto Miikkulainen

Convolutional neural networks (CNNs) have shown great capability of solving various artificial intelligence tasks. However, the increasing model size has raised challenges in employing them in resource-limited applications. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Hongyang Gao , Zhengyang Wang , Shuiwang Ji

In recent years, several models using Quaternion-Valued Convolutional Neural Networks (QCNNs) for different problems have been proposed. Although the definition of the quaternion convolution layer is the same, there are different…

Machine Learning · Computer Science 2024-09-04 Gerardo Altamirano-Gómez , Carlos Gershenson

We study layered neural networks of rectified linear units (ReLU) in a modelling framework for stochastic training processes. The comparison with sigmoidal activation functions is in the center of interest. We compute typical learning…

Machine Learning · Computer Science 2020-11-13 Elisa Oostwal , Michiel Straat , Michael Biehl

While CNNs naturally lend themselves to densely sampled data, and sophisticated implementations are available, they lack the ability to efficiently process sparse data. In this work we introduce a suite of tools that exploit sparsity in…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Timo Hackel , Mikhail Usvyatsov , Silvano Galliani , Jan D. Wegner , Konrad Schindler

In this paper, we explore some basic questions on the complexity of training neural networks with ReLU activation function. We show that it is NP-hard to train a two-hidden layer feedforward ReLU neural network. If dimension of the input…

Computational Complexity · Computer Science 2020-11-05 Digvijay Boob , Santanu S. Dey , Guanghui Lan

In this paper, we investigate the relationship between deep neural networks (DNN) with rectified linear unit (ReLU) function as the activation function and continuous piecewise linear (CPWL) functions, especially CPWL functions from the…

Numerical Analysis · Mathematics 2020-06-02 Juncai He , Lin Li , Jinchao Xu , Chunyue Zheng

Object localization has a vital role in any object detector, and therefore, has been the focus of attention by many researchers. In this article, a special training approach is proposed for a light convolutional neural network (CNN) to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Faraz Lotfi , Farnoosh Faraji , Hamid D. Taghirad

Neural networks have demonstrated a wide range of successes, but their ``black box" nature raises concerns about transparency and reliability. Previous research on ReLU networks has sought to unwrap these networks into linear models based…

Machine Learning · Computer Science 2025-06-24 Seongwoo Lim , Won Jo , Joohyung Lee , Jaesik Choi

The emergence of deep learning has been accompanied by privacy concerns surrounding users' data and service providers' models. We focus on private inference (PI), where the goal is to perform inference on a user's data sample using a…

Cryptography and Security · Computer Science 2022-11-08 Minsu Cho , Zahra Ghodsi , Brandon Reagen , Siddharth Garg , Chinmay Hegde

The Convolutional Neural Network (CNN) has achieved great success in image classification. The classification model can also be utilized at image or patch level for many other applications, such as object detection and segmentation. In this…

Computer Vision and Pattern Recognition · Computer Science 2014-12-23 Jun Yuan , Bingbing Ni , Ashraf A. Kassim

Binarized Neural Networks (BNN) offer efficient implementations for machine learning tasks and facilitate Privacy-Preserving Machine Learning (PPML) by simplifying operations with binary values. Nevertheless, challenges persist in terms of…

Machine Learning · Computer Science 2024-12-24 Benchang Dong , Zhili Chen , Xin Chen , Shiwen Wei , Jie Fu , Huifa Li

Convolutional Neural Network's (CNN's) performance disparity on clean and corrupted datasets has recently come under scrutiny. In this work, we analyse common corruptions in the frequency domain, i.e., High Frequency corruptions (HFc, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Md Tahmid Hossain , Shyh Wei Teng , Ferdous Sohel , Guojun Lu