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We give some new methods for perfect reconstruction from frame and sampling erasures in finitely many steps. By bridging an erasure set we mean replacing the erased Fourier coefficients of a function with respect to a frame by appropriate…

Functional Analysis · Mathematics 2014-09-19 David R. Larson , Sam L. Scholze

Over the last decade, the development of deep image classification networks has mostly been driven by the search for the best performance in terms of classification accuracy on standardized benchmarks like ImageNet. More recently, this…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Kalun Ho , Franz-Josef Pfreundt , Janis Keuper , Margret Keuper

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Despite the impressive capabilities of generating images, text-to-image diffusion models are susceptible to producing undesirable outputs such as NSFW content and copyrighted artworks. To address this issue, recent studies have focused on…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Tianyun Yang , Juan Cao , Chang Xu

Deep neural networks are vulnerable to adversarial attacks. The literature is rich with algorithms that can easily craft successful adversarial examples. In contrast, the performance of defense techniques still lags behind. This paper…

Machine Learning · Computer Science 2019-05-29 Yuzhe Yang , Guo Zhang , Dina Katabi , Zhi Xu

Recent studies have demonstrated that visual recognition models lack robustness to distribution shift. However, current work mainly considers model robustness to 2D image transformations, leaving viewpoint changes in the 3D world less…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Yinpeng Dong , Shouwei Ruan , Hang Su , Caixin Kang , Xingxing Wei , Jun Zhu

Deep neural networks (DNNs) are increasingly used in real-world applications (e.g. facial recognition). This has resulted in concerns about the fairness of decisions made by these models. Various notions and measures of fairness have been…

Machine Learning · Computer Science 2021-01-22 Vedant Nanda , Samuel Dooley , Sahil Singla , Soheil Feizi , John P. Dickerson

In comparison to classical shallow representation learning techniques, deep neural networks have achieved superior performance in nearly every application benchmark. But despite their clear empirical advantages, it is still not well…

Machine Learning · Computer Science 2022-01-11 Calvin Murdock , George Cazenavette , Simon Lucey

To combat adversarial spelling mistakes, we propose placing a word recognition model in front of the downstream classifier. Our word recognition models build upon the RNN semi-character architecture, introducing several new backoff…

Computation and Language · Computer Science 2019-08-30 Danish Pruthi , Bhuwan Dhingra , Zachary C. Lipton

Mining frequent patterns is plagued by the problem of pattern explosion making pattern reduction techniques a key challenge in pattern mining. In this paper we propose a novel theoretical framework for pattern reduction. We do this by…

Databases · Computer Science 2019-04-25 Nikolaj Tatti , Fabian Moerchen , Toon Calders

Neural networks are prone to misclassify slightly modified input images. Recently, many defences have been proposed, but none have improved the robustness of neural networks consistently. Here, we propose to use adversarial attacks as a…

Neural and Evolutionary Computing · Computer Science 2021-06-11 Shashank Kotyan , Danilo Vasconcellos Vargas

A vision foundation model outputs an embedding vector for an image, which can be affected by common editing operations (e.g., JPEG compression, brightness, contrast adjustments). These common perturbations alter embedding vectors and may…

Cryptography and Security · Computer Science 2026-04-17 Hongbin Liu , Zhengyuan Jiang , Cheng Hong , Neil Zhenqiang Gong

The concept of trustworthy AI has gained widespread attention lately. One of the aspects relevant to trustworthy AI is robustness of ML models. In this study, we show how to probabilistically quantify robustness against naturally occurring…

Machine Learning · Computer Science 2022-11-30 Christoph Schweimer , Sebastian Scher

This paper studies the parameters for which Reed-Muller (RM) codes over $GF(2)$ can correct random erasures and random errors with high probability, and in particular when can they achieve capacity for these two classical channels.…

Information Theory · Computer Science 2014-11-18 Emmanuel Abbe , Amir Shpilka , Avi Wigderson

Adversarial robustness measures the susceptibility of a classifier to imperceptible perturbations made to the inputs at test time. In this work we highlight the benefits of natural low rank representations that often exist for real data…

Machine Learning · Computer Science 2020-08-04 Pranjal Awasthi , Himanshu Jain , Ankit Singh Rawat , Aravindan Vijayaraghavan

There is a great need for robust techniques in data mining and machine learning contexts where many standard techniques such as principal component analysis and linear discriminant analysis are inherently susceptible to outliers.…

Methodology · Statistics 2015-09-28 Garth Tarr , Samuel Müller , Neville C. Weber

Random embeddings project high-dimensional spaces to low-dimensional ones; they are careful constructions which allow the approximate preservation of key properties, such as the pair-wise distances between points. Often in the field of…

Optimization and Control · Mathematics 2022-06-08 Zhen Shao

The literature on provable robustness in machine learning has primarily focused on static prediction problems, such as image classification, in which input samples are assumed to be independent and model performance is measured as an…

Machine Learning · Computer Science 2023-03-30 Aounon Kumar , Vinu Sankar Sadasivan , Soheil Feizi

Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since…

Machine Learning · Computer Science 2024-02-06 Hao Cheng , Qingsong Wen , Yang Liu , Liang Sun

Neural Networks have been shown to be sensitive to common perturbations such as blur, Gaussian noise, rotations, etc. They are also vulnerable to some artificial malicious corruptions called adversarial examples. The adversarial examples…

Machine Learning · Computer Science 2019-10-10 Alfred Laugros , Alice Caplier , Matthieu Ospici
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