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Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

Machine Learning · Computer Science 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

As a defense strategy against adversarial attacks, adversarial detection aims to identify and filter out adversarial data from the data flow based on discrepancies in distribution and noise patterns between natural and adversarial data.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Qian Wang , Chen Li , Yuchen Luo , Hefei Ling , Shijuan Huang , Ruoxi Jia , Ning Yu

The Fast Fourier Transform (FFT) is the most efficiently known way to compute the Discrete Fourier Transform (DFT) of an arbitrary n-length signal, and has a computational complexity of O(n log n). If the DFT X of the signal x has only k…

Information Theory · Computer Science 2015-01-05 Sameer Pawar , Kannan Ramchandran

Recently, there has been a large amount of work towards fooling deep-learning-based classifiers, particularly for images, via adversarial inputs that are visually similar to the benign examples. However, researchers usually use Lp-norm…

Computer Vision and Pattern Recognition · Computer Science 2021-02-02 Pengrui Quan , Ruiming Guo , Mani Srivastava

Sparse adversarial attacks fool deep neural networks (DNNs) through minimal pixel perturbations, often regularized by the $\ell_0$ norm. Recent efforts have replaced this norm with a structural sparsity regularizer, such as the nuclear…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Shpresim Sadiku , Moritz Wagner , Sebastian Pokutta

Nowadays the deep learning technology is growing faster and shows dramatic performance in computer vision areas. However, it turns out a deep learning based model is highly vulnerable to some small perturbation called an adversarial attack.…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Seungju Cho , Tae Joon Jun , Mingu Kang , Daeyoung Kim

The evaluation of robustness against adversarial manipulation of neural networks-based classifiers is mainly tested with empirical attacks as methods for the exact computation, even when available, do not scale to large networks. We propose…

Machine Learning · Computer Science 2020-07-21 Francesco Croce , Matthias Hein

Recent work in adversarial robustness suggests that natural data distributions are localized, i.e., they place high probability in small volume regions of the input space, and that this property can be utilized for designing classifiers…

Machine Learning · Computer Science 2024-05-24 Ambar Pal , René Vidal , Jeremias Sulam

It is significant to evaluate the security of existing digital image tampering localization algorithms in real-world applications. In this paper, we propose an adversarial attack scheme to reveal the reliability of such tampering…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Yuqi Wang , Gang Cao , Zijie Lou , Haochen Zhu

White box adversarial perturbations are generated via iterative optimization algorithms most often by minimizing an adversarial loss on a $\ell_p$ neighborhood of the original image, the so-called distortion set. Constraining the…

Machine Learning · Computer Science 2021-02-16 Ehsan Kazemi , Thomas Kerdreux , Liquang Wang

Deep neural networks (DNNs) have proven to be powerful tools for processing unstructured data. However for high-dimensional data, like images, they are inherently vulnerable to adversarial attacks. Small almost invisible perturbations added…

Machine Learning · Computer Science 2021-03-24 Matthias Rottmann , Kira Maag , Mathis Peyron , Natasa Krejic , Hanno Gottschalk

The diffusion-based adversarial purification methods attempt to drown adversarial perturbations into a part of isotropic noise through the forward process, and then recover the clean images through the reverse process. Due to the lack of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Gaozheng Pei , Ke Ma , Yingfei Sun , Qianqian Xu , Qingming Huang

The paper observes the Hermite and the Fourier Transform domains in terms of Frequency Hopping Spread Spectrum signals sparsification. Sparse signals can be recovered from a reduced set of samples by using the Compressive Sensing approach.…

Signal Processing · Electrical Eng. & Systems 2018-02-15 Valentina Konatar , Maja Vesovic

Despite their impressive performance, deep convolutional neural networks (CNNs) have been shown to be sensitive to small adversarial perturbations. These nuisances, which one can barely notice, are powerful enough to fool sophisticated and…

Machine Learning · Statistics 2019-08-07 Yaniv Romano , Aviad Aberdam , Jeremias Sulam , Michael Elad

We study the problem of estimating the best B term Fourier representation for a given frequency-sparse signal (i.e., vector) $\textbf{A}$ of length $N \gg B$. More explicitly, we investigate how to deterministically identify B of the…

Discrete Mathematics · Computer Science 2007-08-10 M. A. Iwen

We investigate the recovery of signals exhibiting a sparse representation in a general (i.e., possibly redundant or incomplete) dictionary that are corrupted by additive noise admitting a sparse representation in another general dictionary.…

Information Theory · Computer Science 2011-12-08 Christoph Studer , Patrick Kuppinger , Graeme Pope , Helmut Bölcskei

This paper investigates the visual quality of the adversarial examples. Recent papers propose to smooth the perturbations to get rid of high frequency artefacts. In this work, smoothing has a different meaning as it perceptually shapes the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-13 Hanwei Zhang , Yannis Avrithis , Teddy Furon , Laurent Amsaleg

In the past two decades we have seen the popularity of neural networks increase in conjunction with their classification accuracy. Parallel to this, we have also witnessed how fragile the very same prediction models are: tiny perturbations…

Machine Learning · Computer Science 2022-01-25 Mark Beliaev , Payam Delgosha , Hamed Hassani , Ramtin Pedarsani

We consider the compressive sensing of a sparse or compressible signal ${\bf x} \in {\mathbb R}^M$. We explicitly construct a class of measurement matrices, referred to as the low density frames, and develop decoding algorithms that produce…

Information Theory · Computer Science 2009-03-05 Mehmet Akçakaya , Jinsoo Park , Vahid Tarokh

We investigate adversarial attacks for autoencoders. We propose a procedure that distorts the input image to mislead the autoencoder in reconstructing a completely different target image. We attack the internal latent representations,…

Neural and Evolutionary Computing · Computer Science 2016-12-02 Pedro Tabacof , Julia Tavares , Eduardo Valle
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