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Backdoor learning has become an emerging research area towards building a trustworthy machine learning system. While a lot of works have studied the hidden danger of backdoor attacks in image or text classification, there is a limited…

Computation and Language · Computer Science 2023-05-05 Lichang Chen , Minhao Cheng , Heng Huang

The Ring Learning-With-Errors (LWE) problem, whose security is based on hard ideal lattice problems, has proven to be a promising primitive with diverse applications in cryptography. There are however recent discoveries of faster algorithms…

Cryptography and Security · Computer Science 2017-06-22 Qi Cheng , Jun Zhang , Jincheng Zhuang

In this work, we unveil an analogy between well-known lattice based learning with error problem and ill-posed inverse problems. We show that LWE problem is a structured inverse problem. Further, we propose a symmetric encryption scheme…

Numerical Analysis · Mathematics 2025-09-01 Gaurav Mittal

In this work, we study the solution of shortest vector problems (SVPs) arising in terms of learning with error problems (LWEs). LWEs are linear systems of equations over a modular ring, where a perturbation vector is added to the right-hand…

Cryptography and Security · Computer Science 2025-02-10 Tobias Köppl , René Zander , Louis Henkel , Nikolay Tcholtchev

We show direct and conceptually simple reductions between the classical learning with errors (LWE) problem and its continuous analog, CLWE (Bruna, Regev, Song and Tang, STOC 2021). This allows us to bring to bear the powerful machinery of…

Cryptography and Security · Computer Science 2022-11-03 Aparna Gupte , Neekon Vafa , Vinod Vaikuntanathan

Learning with Errors (LWE) problems are the foundations for numerous applications in lattice-based cryptography and are provably as hard as approximate lattice problems in the worst case. Here we present a reduction from LWE problem to…

Quantum Physics · Physics 2013-06-05 Fada Li , Wansu Bao , Xiangqun Fu , Yuchao Zhang , Tan Li

Some hard problems from lattices, like LWE (Learning with Errors), are particularly suitable for application in Cryptography due to the possibility of using worst-case to average-case reductions as evidence of strong security properties. In…

Cryptography and Security · Computer Science 2012-04-18 Rosemberg Silva , Antonio Campello , Ricardo Dahab

The deployment of large language models (LLMs) on third-party devices requires new ways to protect model intellectual property. While Trusted Execution Environments (TEEs) offer a promising solution, their performance limits can lead to a…

Cryptography and Security · Computer Science 2026-02-12 Abhishek Saini , Haolin Jiang , Hang Liu

Machine learning and Large language models (LLMs) for vulnerability detection has received significant attention in recent years. Unfortunately, state-of-the-art techniques show that LLMs are unsuccessful in even distinguishing the…

Cryptography and Security · Computer Science 2025-08-05 Mohammed Sayagh , Mohammad Ghafari

Lattice-based cryptography is a foundation for post-quantum security, with the Learning with Errors (LWE) problem as a core component in key exchange, encryption, and homomorphic computation. Structured variants like Ring-LWE (RLWE) and…

Cryptography and Security · Computer Science 2025-02-12 Dongfang Zhao

Recent machine learning methods use increasingly large deep neural networks to achieve state of the art results in various tasks. The gains in performance come at the cost of a substantial increase in computation and storage requirements.…

Machine Learning · Computer Science 2019-03-26 Yoni Choukroun , Eli Kravchik , Fan Yang , Pavel Kisilev

Malware evolves rapidly, forcing machine learning (ML)-based detectors to adapt continuously. With antivirus vendors processing hundreds of thousands of new samples daily, datasets can grow to billions of examples, making full retraining…

The Learning with Errors (LWE) problem receives much attention in cryptography, mainly due to its fundamental significance in post-quantum cryptography. Among its solving algorithms, the Blum-Kalai-Wasserman (BKW) algorithm, originally…

Cryptography and Security · Computer Science 2021-02-04 Qian Guo , Erik Mårtensson , Paul Stankovski Wagner

In this work, we consider the problem of learning one hidden layer ReLU neural networks with inputs from $\mathbb{R}^d$. We show that this learning problem is hard under standard cryptographic assumptions even when: (1) the size of the…

Machine Learning · Computer Science 2024-10-07 Shuchen Li , Ilias Zadik , Manolis Zampetakis

Multidimensional signals like 2-D and 3-D images or videos are inherently sensitive signals which require privacy-preserving solutions when processed in untrustworthy environments, but their efficient encrypted processing is particularly…

Cryptography and Security · Computer Science 2017-12-05 Alberto Pedrouzo-Ulloa , Juan Ramón Troncoso-Pastoriza , Fernando Pérez-González

Our main result is a quantum public-key encryption scheme based on the Extrapolated Dihedral Coset problem (EDCP) which is equivalent, under quantum polynomial-time reductions, to the Learning With Errors (LWE) problem. For limited number…

Quantum Physics · Physics 2021-05-28 Javad Doliskani

The hardness of the learning with errors (LWE) problem is one of the most fruitful resources of modern cryptography. In particular, it is one of the most prominent candidates for secure post-quantum cryptography. Understanding its quantum…

Cryptography and Security · Computer Science 2019-05-24 Zvika Brakerski , Elena Kirshanova , Damien Stehlé , Weiqiang Wen

In recent years, privacy-preserving machine learning algorithms have attracted increasing attention because of their important applications in many scientific fields. However, in the literature, most privacy-preserving algorithms demand…

Machine Learning · Statistics 2024-01-03 Weidong Liu , Xiaojun Mao , Xiaofei Zhang , Xin Zhang

Sparse recovery and subset selection are fundamental problems in varied communities, including signal processing, statistics and machine learning. Herein, we focus on an important greedy algorithm for these problems: Backward Stepwise…

Optimization and Control · Mathematics 2021-06-08 Sebatian Ament , Carla Gomes

The Learning with Errors (\LWE) problem has been widely utilized as a foundation for numerous cryptographic tools over the years. In this study, we focus on an algebraic variant of the \LWE problem called \emph{Group ring} \LWE ($\GRLWE$).…

Cryptography and Security · Computer Science 2026-03-11 Jiaqi Liu , Fang-Wei Fu