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Recent work showed that ML-based attacks on Learning with Errors (LWE), a hard problem used in post-quantum cryptography, outperform classical algebraic attacks in certain settings. Although promising, ML attacks struggle to scale to more…

Machine Learning · Computer Science 2025-08-26 Eshika Saxena , Alberto Alfarano , François Charton , Zeyuan Allen-Zhu , Emily Wenger , Kristin Lauter

Learning with Errors (LWE) is a hard math problem used in post-quantum cryptography. Homomorphic Encryption (HE) schemes rely on the hardness of the LWE problem for their security, and two LWE-based cryptosystems were recently standardized…

Cryptography and Security · Computer Science 2023-10-30 Cathy Yuanchen Li , Emily Wenger , Zeyuan Allen-Zhu , Francois Charton , Kristin Lauter

The Learning with Errors (LWE) problem is a hard math problem in lattice-based cryptography. In the simplest case of binary secrets, it is the subset sum problem, with error. Effective ML attacks on LWE were demonstrated in the case of…

Cryptography and Security · Computer Science 2026-04-07 Alberto Alfarano , Eshika Saxena , Emily Wenger , François Charton , Kristin Lauter

The Learning with Errors (LWE) problem is the fundamental backbone of modern lattice based cryptography, allowing one to establish cryptography on the hardness of well-studied computational problems. However, schemes based on LWE are often…

Information Theory · Computer Science 2020-08-06 Charles Grover , Cong Ling , Roope Vehkalahti

Learning with Errors (LWE) is a hard math problem underlying recently standardized post-quantum cryptography (PQC) systems for key exchange and digital signatures. Prior work proposed new machine learning (ML)-based attacks on LWE problems…

Cryptography and Security · Computer Science 2024-02-05 Samuel Stevens , Emily Wenger , Cathy Li , Niklas Nolte , Eshika Saxena , François Charton , Kristin Lauter

We show that the Learning with Errors (LWE) problem is classically at least as hard as standard worst-case lattice problems, even with polynomial modulus. Previously this was only known under quantum reductions. Our techniques capture the…

Computational Complexity · Computer Science 2013-06-04 Zvika Brakerski , Adeline Langlois , Chris Peikert , Oded Regev , Damien Stehlé

We investigate the cryptanalysis of affine ciphers using a hybrid neural network architecture that combines modular arithmetic-aware and statistical feature-based learning. Inspired by recent advances in interpretable neural networks for…

Cryptography and Security · Computer Science 2025-07-22 Vanja Stojanović , Žiga Lesar , CIril Bohak

Model quantization enables efficient deployment of deep neural networks on edge devices through low-bit parameter representation, yet raises critical challenges for implementing machine unlearning (MU) under data privacy regulations.…

Machine Learning · Computer Science 2025-03-19 Yujia Tong , Yuze Wang , Jingling Yuan , Chuang Hu

The Ring Learning-With-Errors (RLWE) problem shows great promise for post-quantum cryptography and homomorphic encryption. We describe a new attack on the non-dual search RLWE problem with small error widths, using ring homomorphisms to…

Cryptography and Security · Computer Science 2017-10-11 Hao Chen , Kristin Lauter , Katherine E. Stange

Lattice cryptography schemes based on the learning with errors (LWE) hardness assumption have been standardized by NIST for use as post-quantum cryptosystems, and by HomomorphicEncryption.org for encrypted compute on sensitive data. Thus,…

Cryptography and Security · Computer Science 2024-10-11 Emily Wenger , Eshika Saxena , Mohamed Malhou , Ellie Thieu , Kristin Lauter

In this paper, we study the Learning With Errors problem and its binary variant, where secrets and errors are binary or taken in a small interval. We introduce a new variant of the Blum, Kalai and Wasserman algorithm, relying on a…

Cryptography and Security · Computer Science 2015-07-01 Paul Kirchner , Pierre-Alain Fouque

The notion that collaborative machine learning can ensure privacy by just withholding the raw data is widely acknowledged to be flawed. Over the past seven years, the literature has revealed several privacy attacks that enable adversaries…

Cryptography and Security · Computer Science 2024-09-27 Federico Mazzone , Ahmad Al Badawi , Yuriy Polyakov , Maarten Everts , Florian Hahn , Andreas Peter

Privacy is a major issue in learning from distributed data. Recently the cryptographic literature has provided several tools for this task. However, these tools either reduce the quality/accuracy of the learning algorithm---e.g., by adding…

Machine Learning · Computer Science 2019-04-12 Maksim Tsikhanovich , Malik Magdon-Ismail , Muhammad Ishaq , Vassilis Zikas

Quantum algorithms have demonstrated promising speed-ups over classical algorithms in the context of computational learning theory - despite the presence of noise. In this work, we give an overview of recent quantum speed-ups, revisit the…

Quantum Physics · Physics 2018-06-19 Alexander Poremba

Recent studies have shown that deep neural networks (DNNs) are vulnerable to backdoor attacks, where a designed trigger is injected into the dataset, causing erroneous predictions when activated. In this paper, we propose a novel defense…

Machine Learning · Computer Science 2025-08-08 Wenjie Huo , Katinka Wolter

Learning with Errors (LWE) is a hard math problem underpinning many proposed post-quantum cryptographic (PQC) systems. The only PQC Key Exchange Mechanism (KEM) standardized by NIST is based on module~LWE, and current publicly available PQ…

Cryptography and Security · Computer Science 2023-11-01 Cathy Li , Jana Sotáková , Emily Wenger , Mohamed Malhou , Evrard Garcelon , Francois Charton , Kristin Lauter

We initiate the study of multi-party computation for classical functionalities (in the plain model) with security against malicious polynomial-time quantum adversaries. We observe that existing techniques readily give a polynomial-round…

Quantum Physics · Physics 2020-11-23 Amit Agarwal , James Bartusek , Vipul Goyal , Dakshita Khurana , Giulio Malavolta

Currently deployed public-key cryptosystems will be vulnerable to attacks by full-scale quantum computers. Consequently, "quantum resistant" cryptosystems are in high demand, and lattice-based cryptosystems, based on a hard problem known as…

Cryptography and Security · Computer Science 2023-04-25 Emily Wenger , Mingjie Chen , François Charton , Kristin Lauter

As quantum computing advances rapidly, guaranteeing the security of cryptographic protocols resistant to quantum attacks is paramount. Some leading candidate cryptosystems use the Learning with Errors (LWE) problem, attractive for its…

Information Theory · Computer Science 2020-08-18 Liljana Babinkostova , Ariana Chin , Aaron Kirtland , Vladyslav Nazarchuk , Esther Plotnick

Multimodal contrastive learning has emerged as a powerful paradigm for building high-quality features using the complementary strengths of various data modalities. However, the open nature of such systems inadvertently increases the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Siyuan Liang , Kuanrong Liu , Jiajun Gong , Jiawei Liang , Yuan Xun , Ee-Chien Chang , Xiaochun Cao
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