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Deep neural networks (DNNs) are known vulnerable to adversarial attacks. That is, adversarial examples, obtained by adding delicately crafted distortions onto original legal inputs, can mislead a DNN to classify them as any target labels.…

Cryptography and Security · Computer Science 2018-09-17 Siyue Wang , Xiao Wang , Pu Zhao , Wujie Wen , David Kaeli , Peter Chin , Xue Lin

Stochastic Gradient Descent (SGD) is the workhorse algorithm of deep learning technology. At each step of the training phase, a mini batch of samples is drawn from the training dataset and the weights of the neural network are adjusted…

Disordered Systems and Neural Networks · Physics 2022-09-07 Francesca Mignacco , Pierfrancesco Urbani

Deep neural networks (DNNs) enable innovative applications of machine learning like image recognition, machine translation, or malware detection. However, deep learning is often criticized for its lack of robustness in adversarial settings…

Machine Learning · Computer Science 2018-03-14 Nicolas Papernot , Patrick McDaniel

We present a novel hybrid algorithm for training Deep Neural Networks that combines the state-of-the-art Gradient Descent (GD) method with a Mixed Integer Linear Programming (MILP) solver, outperforming GD and variants in terms of accuracy,…

Machine Learning · Computer Science 2022-07-26 Dhananjay Ashok , Vineel Nagisetty , Christopher Srinivasa , Vijay Ganesh

Over the past few years, deep neural networks (DNNs) have been continuously expanding their real-world applications for source code processing tasks across the software engineering domain, e.g., clone detection, code search, comment…

Software Engineering · Computer Science 2021-01-21 Maryam Vahdat Pour , Zhuo Li , Lei Ma , Hadi Hemmati

Quantization is one of the most applied Deep Neural Network (DNN) compression strategies, when deploying a trained DNN model on an embedded system or a cell phone. This is owing to its simplicity and adaptability to a wide range of…

Machine Learning · Computer Science 2022-10-10 Ahmed Haj Yahmed , Houssem Ben Braiek , Foutse Khomh , Sonia Bouzidi , Rania Zaatour

Natural gradient descent (NGD) provided deep insights and powerful tools to deep neural networks. However the computation of Fisher information matrix becomes more and more difficult as the network structure turns large and complex. This…

Machine Learning · Computer Science 2021-09-22 Weihua Liu , Xiabi Liu

Projected Gradient Descent (PGD) based adversarial training has become one of the most prominent methods for building robust deep neural network models. However, the computational complexity associated with this approach, due to the…

Machine Learning · Computer Science 2020-05-01 Sidharth Gupta , Parijat Dube , Ashish Verma

We present Re-weighted Gradient Descent (RGD), a novel optimization technique that improves the performance of deep neural networks through dynamic sample re-weighting. Leveraging insights from distributionally robust optimization (DRO)…

Machine Learning · Computer Science 2024-10-15 Ramnath Kumar , Kushal Majmundar , Dheeraj Nagaraj , Arun Sai Suggala

The vulnerability of deep neural networks to small and even imperceptible perturbations has become a central topic in deep learning research. Although several sophisticated defense mechanisms have been introduced, most were later shown to…

Machine Learning · Computer Science 2021-09-28 Leo Schwinn , An Nguyen , René Raab , Dario Zanca , Bjoern Eskofier , Daniel Tenbrinck , Martin Burger

Training deep neural networks (DNNs) efficiently is a challenge due to the associated highly nonconvex optimization. The backpropagation (backprop) algorithm has long been the most widely used algorithm for gradient computation of…

Machine Learning · Statistics 2018-03-28 Tim Tsz-Kit Lau , Jinshan Zeng , Baoyuan Wu , Yuan Yao

Despite recent success on various tasks, deep learning techniques still perform poorly on adversarial examples with small perturbations. While optimization-based methods for adversarial attacks are well-explored in the field of computer…

Computation and Language · Computer Science 2023-06-09 Lifan Yuan , Yichi Zhang , Yangyi Chen , Wei Wei

There introduce Particle Optimized Gradient Descent (POGD), an algorithm based on the gradient descent but integrates the particle swarm optimization (PSO) principle to achieve the iteration. From the experiments, this algorithm has…

Machine Learning · Computer Science 2022-10-20 Feihu Han , Sida Xing , Sui Yang Khoo

Deep Neural Networks (DNNs) have shown substantial success in various applications but remain vulnerable to adversarial attacks. This study aims to identify and isolate the components of two different adversarial training techniques that…

Machine Learning · Computer Science 2025-08-26 William Brooks , Marelie H. Davel , Coenraad Mouton

Projected Gradient Descent (PGD) is a strong and widely used first-order adversarial attack, yet its computational cost scales poorly, as all training samples undergo identical iterative inner-loop optimization despite contributing…

Machine Learning · Computer Science 2025-12-29 Youran Ye , Dejin Wang , Ajinkya Bhandare

State-of-the-art training algorithms for deep learning models are based on stochastic gradient descent (SGD). Recently, many variations have been explored: perturbing parameters for better accuracy (such as in Extragradient), limiting SGD…

Machine Learning · Computer Science 2022-03-23 Amirkeivan Mohtashami , Martin Jaggi , Sebastian U. Stich

Adversarial attacks, particularly the Fast Gradient Sign Method (FGSM) and Projected Gradient Descent (PGD) pose significant threats to the robustness of deep learning models in image classification. This paper explores and refines defense…

Cryptography and Security · Computer Science 2025-05-15 Hetvi Waghela , Jaydip Sen , Sneha Rakshit

Compressed Stochastic Gradient Descent (SGD) algorithms have been recently proposed to address the communication bottleneck in distributed and decentralized optimization problems, such as those that arise in federated machine learning.…

Machine Learning · Statistics 2022-07-21 Adarsh M. Subramaniam , Akshayaa Magesh , Venugopal V. Veeravalli

First-order methods like stochastic gradient descent(SGD) are recently the popular optimization method to train deep neural networks (DNNs), but second-order methods are scarcely used because of the overpriced computing cost in getting the…

Machine Learning · Computer Science 2021-04-01 Jingcheng Zhou , Wei Wei , Zhiming Zheng

A convolutional neural network (ConvNet) is usually trained and then tested using images drawn from the same distribution. To generalize a ConvNet to various tasks often requires a complete training dataset that consists of images drawn…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Junyu Chen , Evren Asma , Chung Chan