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Neural Ordinary Differential Equations (Neural ODEs), as a novel category of modeling big data methods, cleverly link traditional neural networks and dynamical systems. However, it is challenging to ensure the dynamics system reaches a…

Optimization and Control · Mathematics 2024-11-15 Chaoyang Luo , Yan Zou , Wanying Li , Nanjing Huang

Deep neural networks (DNNs) have been shown to be vulnerable to adversarial attacks. Recently, 3D adversarial attacks, especially adversarial attacks on point clouds, have elicited mounting interest. However, adversarial point clouds…

Computer Vision and Pattern Recognition · Computer Science 2022-01-27 Binbin Liu , Jinlai Zhang , Lyujie Chen , Jihong Zhu

Deep neural networks (DNNs) are inherently vulnerable to adversarial inputs: such maliciously crafted samples trigger DNNs to misbehave, leading to detrimental consequences for DNN-powered systems. The fundamental challenges of mitigating…

Cryptography and Security · Computer Science 2018-08-02 Yujie Ji , Xinyang Zhang , Ting Wang

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

Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous-time analog to discrete neural networks. Despite their promise, deploying…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Jan S. Hesthaven

The security of deep learning (DL) systems is an extremely important field of study as they are being deployed in several applications due to their ever-improving performance to solve challenging tasks. Despite overwhelming promises, the…

Machine Learning · Computer Science 2022-08-19 Manaar Alam , Shubhajit Datta , Debdeep Mukhopadhyay , Arijit Mondal , Partha Pratim Chakrabarti

Great advances in deep neural networks (DNNs) have led to state-of-the-art performance on a wide range of tasks. However, recent studies have shown that DNNs are vulnerable to adversarial attacks, which have brought great concerns when…

Machine Learning · Computer Science 2023-04-13 Linyi Li , Tao Xie , Bo Li

The instability of Generative Adversarial Network (GAN) training has frequently been attributed to gradient descent. Consequently, recent methods have aimed to tailor the models and training procedures to stabilise the discrete updates. In…

In the past five years, deep learning methods have become state-of-the-art in solving various inverse problems. Before such approaches can find application in safety-critical fields, a verification of their reliability appears mandatory.…

Machine Learning · Computer Science 2023-01-18 Martin Genzel , Jan Macdonald , Maximilian März

Deep neural networks (DNNs) have demonstrated impressive performance on many challenging machine learning tasks. However, DNNs are vulnerable to adversarial inputs generated by adding maliciously crafted perturbations to the benign inputs.…

Machine Learning · Computer Science 2019-10-29 Ka-Ho Chow , Wenqi Wei , Yanzhao Wu , Ling Liu

We introduce OS-net (Orbitally Stable neural NETworks), a new family of neural network architectures specifically designed for periodic dynamical data. OS-net is a special case of Neural Ordinary Differential Equations (NODEs) and takes…

Dynamical Systems · Mathematics 2023-09-27 Marieme Ngom , Carlo Graziani

Probabilistic solvers for ordinary differential equations (ODEs) provide efficient quantification of numerical uncertainty associated with simulation of dynamical systems. Their convergence rates have been established by a growing body of…

Machine Learning · Statistics 2020-12-21 Nicholas Krämer , Philipp Hennig

Deep neural networks (DNNs) have shown vulnerability to adversarial attacks, i.e., carefully perturbed inputs designed to mislead the network at inference time. Recently introduced localized attacks, Localized and Visible Adversarial Noise…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Muzammal Naseer , Salman H. Khan , Fatih Porikli

Deep neural networks (DNNs) deployed in real-world applications can encounter out-of-distribution (OOD) data and adversarial examples. These represent distinct forms of distributional shifts that can significantly impact DNNs' reliability…

Machine Learning · Computer Science 2024-04-09 Naveen Karunanayake , Ravin Gunawardena , Suranga Seneviratne , Sanjay Chawla

It is well established that neural networks are vulnerable to adversarial examples, which are almost imperceptible on human vision and can cause the deep models misbehave. Such phenomenon may lead to severely inestimable consequences in the…

Machine Learning · Computer Science 2020-09-09 Dengpan Ye , Chuanxi Chen , Changrui Liu , Hao Wang , Shunzhi Jiang

In the past few years, it has become increasingly evident that deep neural networks are not resilient enough to withstand adversarial perturbations in input data, leaving them vulnerable to attack. Various authors have proposed strong…

Computation and Language · Computer Science 2023-04-19 Shreya Goyal , Sumanth Doddapaneni , Mitesh M. Khapra , Balaraman Ravindran

Deep neural networks have lately shown tremendous performance in various applications including vision and speech processing tasks. However, alongside their ability to perform these tasks with such high accuracy, it has been shown that they…

Machine Learning · Computer Science 2019-05-29 Daniel Jakubovitz , Raja Giryes

Although Deep Neural Networks (DNNs) have shown incredible performance in perceptive and control tasks, several trustworthy issues are still open. One of the most discussed topics is the existence of adversarial perturbations, which has…

Machine Learning · Computer Science 2023-01-10 Fabio Brau , Giulio Rossolini , Alessandro Biondi , Giorgio Buttazzo

Distributed deep neural networks (DNNs) have been shown to reduce the computational burden of mobile devices and decrease the end-to-end inference latency in edge computing scenarios. While distributed DNNs have been studied, to the best of…

Machine Learning · Computer Science 2025-10-02 Milin Zhang , Mohammad Abdi , Jonathan Ashdown , Francesco Restuccia

Deep neural networks (DNNs) play an important role in machine learning due to its outstanding performance compared to other alternatives. However, DNNs are not suitable for safety-critical applications since DNNs can be easily fooled by…

Machine Learning · Computer Science 2021-03-26 Zhixin Pan , Prabhat Mishra
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