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As humans, we inherently perceive images based on their predominant features, and ignore noise embedded within lower bit planes. On the contrary, Deep Neural Networks are known to confidently misclassify images corrupted with meticulously…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Sravanti Addepalli , Vivek B. S. , Arya Baburaj , Gaurang Sriramanan , R. Venkatesh Babu

Despite many proposed algorithms to provide robustness to deep learning (DL) models, DL models remain susceptible to adversarial attacks. We hypothesize that the adversarial vulnerability of DL models stems from two factors. The first…

Artificial Intelligence · Computer Science 2022-02-21 Mahsa Paknezhad , Cuong Phuc Ngo , Amadeus Aristo Winarto , Alistair Cheong , Chuen Yang Beh , Jiayang Wu , Hwee Kuan Lee

Recent work has demonstrated that deep neural networks are vulnerable to adversarial examples---inputs that are almost indistinguishable from natural data and yet classified incorrectly by the network. In fact, some of the latest findings…

Machine Learning · Statistics 2019-09-06 Aleksander Madry , Aleksandar Makelov , Ludwig Schmidt , Dimitris Tsipras , Adrian Vladu

A large body of theory and empirical work hypothesizes a connection between the flatness of a neural network's loss landscape during training and its performance. However, there have been conceptually opposite pieces of evidence regarding…

Machine Learning · Computer Science 2026-02-06 Yizhou Xu , Pierfrancesco Beneventano , Isaac Chuang , Liu Ziyin

Neural networks are vulnerable to adversarial attacks -- small visually imperceptible crafted noise which when added to the input drastically changes the output. The most effective method of defending against these adversarial attacks is to…

In this study, we explore the inherent trade-off between accuracy and robustness in neural networks, drawing an analogy to the uncertainty principle in quantum mechanics. We propose that neural networks are subject to an uncertainty…

Machine Learning · Computer Science 2025-01-17 Jun-Jie Zhang , Dong-Xiao Zhang , Jian-Nan Chen , Long-Gang Pang , Deyu Meng

Recent research studies revealed that neural networks are vulnerable to adversarial attacks. State-of-the-art defensive techniques add various adversarial examples in training to improve models' adversarial robustness. However, these…

Machine Learning · Computer Science 2019-09-13 Chang Song , Zuoguan Wang , Hai Li

Network pruning has been known to produce compact models without much accuracy degradation. However, how the pruning process affects a network's robustness and the working mechanism behind remain unresolved. In this work, we theoretically…

Machine Learning · Computer Science 2022-07-13 Shufan Wang , Ningyi Liao , Liyao Xiang , Nanyang Ye , Quanshi Zhang

The vulnerability of deep neural networks (DNNs) to adversarial examples has attracted great attention in the machine learning community. The problem is related to non-flatness and non-smoothness of normally obtained loss landscapes.…

Machine Learning · Computer Science 2023-02-13 Qizhang Li , Yiwen Guo , Wangmeng Zuo , Hao Chen

The vulnerability of deep neural networks against adversarial examples - inputs with small imperceptible perturbations - has gained a lot of attention in the research community recently. Simultaneously, the number of parameters of…

Machine Learning · Computer Science 2021-08-20 Florian Merkle , Maximilian Samsinger , Pascal Schöttle

Deep neural networks are vulnerable to adversarial attacks. Recent studies about adversarial robustness focus on the loss landscape in the parameter space since it is related to optimization and generalization performance. These studies…

Machine Learning · Computer Science 2023-03-07 Sekitoshi Kanai , Masanori Yamada , Hiroshi Takahashi , Yuki Yamanaka , Yasutoshi Ida

This work studies the adversarial robustness of parametric functions composed of a linear predictor and a non-linear representation map. % that satisfies certain stability condition. Our analysis relies on \emph{sparse local Lipschitzness}…

Machine Learning · Computer Science 2023-03-07 Ramchandran Muthukumar , Jeremias Sulam

Non-adversarial robustness, also known as natural robustness, is a property of deep learning models that enables them to maintain performance even when faced with distribution shifts caused by natural variations in data. However, achieving…

Machine Learning · Computer Science 2023-05-25 Gorana Gojić , Vladimir Vincan , Ognjen Kundačina , Dragiša Mišković , Dinu Dragan

Quantifying robustness in a single measure for the purposes of model selection, development of adversarial training methods, and anticipating trends has so far been elusive. The simplest metric to consider is the number of trainable…

Machine Learning · Computer Science 2024-10-25 David Khachaturov , Robert Mullins

Throughout the past five years, the susceptibility of neural networks to minimal adversarial perturbations has moved from a peculiar phenomenon to a core issue in Deep Learning. Despite much attention, however, progress towards more robust…

Machine Learning · Statistics 2019-12-13 Wieland Brendel , Jonas Rauber , Matthias Kümmerer , Ivan Ustyuzhaninov , Matthias Bethge

We define the local complexity of a neural network with continuous piecewise linear activations as a measure of the density of linear regions over an input data distribution. We show theoretically that ReLU networks that learn…

Machine Learning · Computer Science 2025-07-15 Niket Patel , Guido Montufar

Recent works have shown theoretically and empirically that redundant data dimensions are a source of adversarial vulnerability. However, the inverse doesn't seem to hold in practice; employing dimension-reduction techniques doesn't exhibit…

Machine Learning · Statistics 2024-10-10 Rajdeep Haldar , Yue Xing , Qifan Song , Guang Lin

Reducing the size of neural network models is a critical step in moving AI from a cloud-centric to an edge-centric (i.e. on-device) compute paradigm. This shift from cloud to edge is motivated by a number of factors including reduced…

Machine Learning · Computer Science 2022-01-24 Micah Gorsline , James Smith , Cory Merkel

End-to-end (geometric) deep learning has seen first successes in approximating the solution of combinatorial optimization problems. However, generating data in the realm of NP-hard/-complete tasks brings practical and theoretical…

Machine Learning · Computer Science 2022-03-22 Simon Geisler , Johanna Sommer , Jan Schuchardt , Aleksandar Bojchevski , Stephan Günnemann

Achieving robustness against adversarial input perturbation is an important and intriguing problem in machine learning. In the area of semantic image segmentation, a number of adversarial training approaches have been proposed as a defense…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Levente Halmosi , Mark Jelasity
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