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The approximate nearest neighbor problem ($\epsilon$-ANN) in high dimensional Euclidean space has been mainly addressed by Locality Sensitive Hashing (LSH), which has polynomial dependence in the dimension, sublinear query time, but…

Computational Geometry · Computer Science 2016-12-06 Evangelos Anagnostopoulos , Ioannis Z. Emiris , Ioannis Psarros

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

Computer Vision and Pattern Recognition · Computer Science 2013-09-19 Gilles Puy , Pierre Vandergheynst

Dense high dimensional vectors are becoming increasingly vital in fields such as computer vision, machine learning, and large language models (LLMs), serving as standard representations for multimodal data. Now the dimensionality of these…

Machine Learning · Computer Science 2024-10-10 Zhonghan Chen , Ruiyuan Zhang , Xi Zhao , Xiaojun Cheng , Xiaofang Zhou

Lipschitz constant is a fundamental property in certified robustness, as smaller values imply robustness to adversarial examples when a model is confident in its prediction. However, identifying the worst-case adversarial examples is known…

Machine Learning · Computer Science 2025-12-16 Yongjin Han , Suhyun Kim

ML models are typically trained using large datasets of high quality. However, training datasets often contain inconsistent or incomplete data. To tackle this issue, one solution is to develop algorithms that can check whether a prediction…

Machine Learning · Computer Science 2022-01-19 Austen Z. Fan , Paraschos Koutris

We present a new approach to approximate nearest-neighbor queries in fixed dimension under a variety of non-Euclidean distances. We are given a set $S$ of $n$ points in $\mathbb{R}^d$, an approximation parameter $\varepsilon > 0$, and a…

Computational Geometry · Computer Science 2023-06-28 Ahmed Abdelkader , Sunil Arya , Guilherme D. da Fonseca , David M. Mount

In spite of achieving revolutionary successes in machine learning, deep convolutional neural networks have been recently found to be vulnerable to adversarial attacks and difficult to generalize to novel test images with reasonably large…

Computer Vision and Pattern Recognition · Computer Science 2019-03-01 Zhenyu Duan , Martin Renqiang Min , Li Erran Li , Mingbo Cai , Yi Xu , Bingbing Ni

Despite the empirical success of neural architecture search (NAS) in deep learning applications, the optimality, reproducibility and cost of NAS schemes remain hard to assess. In this paper, we propose Generative Adversarial NAS (GA-NAS)…

Machine Learning · Computer Science 2021-06-24 Seyed Saeed Changiz Rezaei , Fred X. Han , Di Niu , Mohammad Salameh , Keith Mills , Shuo Lian , Wei Lu , Shangling Jui

The problem of adversarial examples has shown that modern Neural Network (NN) models could be rather fragile. Among the more established techniques to solve the problem, one is to require the model to be {\it $\epsilon$-adversarially…

Machine Learning · Computer Science 2020-11-17 Yuxin Wen , Shuai Li , Kui Jia

The problem of recovering the configuration of points from their partial pairwise distances, referred to as the Euclidean Distance Matrix Completion (EDMC) problem, arises in a broad range of applications, including sensor network…

Optimization and Control · Mathematics 2026-05-07 Chandler Smith , HanQin Cai , Abiy Tasissa

Deep neural networks have achieved impressive results in many image classification tasks. However, since their performance is usually measured in controlled settings, it is important to ensure that their decisions remain correct when…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Apostolos Modas

Deep Neural Networks (DNNs) are vulnerable to adversarial attacks. Existing methods are devoted to developing various robust training strategies or regularizations to update the weights of the neural network. But beyond the weights, the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-03 Minjing Dong , Yanxi Li , Yunhe Wang , Chang Xu

Recent works have introduced input-convex neural networks (ICNNs) as learning models with advantageous training, inference, and generalization properties linked to their convex structure. In this paper, we propose a novel feature-convex…

Machine Learning · Computer Science 2023-10-11 Samuel Pfrommer , Brendon G. Anderson , Julien Piet , Somayeh Sojoudi

We introduce Parseval networks, a form of deep neural networks in which the Lipschitz constant of linear, convolutional and aggregation layers is constrained to be smaller than 1. Parseval networks are empirically and theoretically…

Machine Learning · Statistics 2017-08-08 Moustapha Cisse , Piotr Bojanowski , Edouard Grave , Yann Dauphin , Nicolas Usunier

With the increasing prevalence of cloud computing platforms, ensuring data privacy during the cloud-based image related services such as classification has become crucial. In this study, we propose a novel privacypreserving image…

Computer Vision and Pattern Recognition · Computer Science 2023-10-20 Jun Liu , Jiantao Zhou , Jinyu Tian , Weiwei Sun

The online caching problem aims to minimize cache misses when serving a sequence of requests under a limited cache size. While naive learning-augmented caching algorithms achieve ideal $1$-consistency, they lack robustness guarantees.…

Data Structures and Algorithms · Computer Science 2025-11-17 Peng Chen , Hailiang Zhao , Jiaji Zhang , Xueyan Tang , Yixuan Wang , Shuiguang Deng

Proximity graph-based methods have emerged as a leading paradigm for approximate nearest neighbor (ANN) search in the system community. This paper presents fresh insights into the theoretical foundation of these methods. We describe an…

Data Structures and Algorithms · Computer Science 2025-09-10 Shangqi Lu , Yufei Tao

We introduce a neural network architecture to solve inverse problems linked to a one-dimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function…

Optimization and Control · Mathematics 2021-06-01 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

Robust streaming, the study of streaming algorithms that provably work when the stream is generated by an adaptive adversary, has seen tremendous progress in recent years. However, fundamental barriers remain: the best known algorithm for…

Data Structures and Algorithms · Computer Science 2025-11-04 Omri Ben-Eliezer , Krzysztof Onak , Sandeep Silwal

The rapid advancement of generative image technology has introduced significant security concerns, particularly in the domain of face generation detection. This paper investigates the vulnerabilities of current AI-generated face detection…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Sun Haoxuan , Hong Yan , Zhan Jiahui , Chen Haoxing , Lan Jun , Zhu Huijia , Wang Weiqiang , Zhang Liqing , Zhang Jianfu