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The Learning-With-Errors (LWE) problem is a fundamental computational challenge with implications for post-quantum cryptography and computational learning theory. Here we propose a quantum-classical hybrid algorithm with Ising model to…

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,…

密码学与安全 · 计算机科学 2024-10-11 Emily Wenger , Eshika Saxena , Mohamed Malhou , Ellie Thieu , Kristin Lauter

We introduce a continuous analogue of the Learning with Errors (LWE) problem, which we name CLWE. We give a polynomial-time quantum reduction from worst-case lattice problems to CLWE, showing that CLWE enjoys similar hardness guarantees to…

计算复杂性 · 计算机科学 2020-10-27 Joan Bruna , Oded Regev , Min Jae Song , Yi Tang

The Learning With Errors ($\mathsf{LWE}$) problem asks to find $\mathbf{s}$ from an input of the form $(\mathbf{A}, \mathbf{b} = \mathbf{A}\mathbf{s}+\mathbf{e}) \in (\mathbb{Z}/q\mathbb{Z})^{m \times n} \times…

密码学与安全 · 计算机科学 2024-05-15 Thomas Debris-Alazard , Pouria Fallahpour , Damien Stehlé

AI-powered attacks on Learning with Errors (LWE), an important hard math problem in post-quantum cryptography, rival or outperform "classical" attacks on LWE under certain parameter settings. Despite the promise of this approach, a dearth…

机器学习 · 计算机科学 2025-12-23 Eshika Saxena , Alberto Alfarano , François Charton , Emily Wenger , Kristin Lauter

In the wake of recent progress on quantum computing hardware, the National Institute of Standards and Technology (NIST) is standardizing cryptographic protocols that are resistant to attacks by quantum adversaries. The primary digital…

密码学与安全 · 计算机科学 2024-03-08 Kelsey A. Jackson , Carl A. Miller , Daochen Wang

We study the problem of offline learning in automated decision systems under the contextual bandits model. We are given logged historical data consisting of contexts, (randomized) actions, and (nonnegative) rewards. A common goal is to…

机器学习 · 计算机科学 2019-01-16 Yifei Ma , Yu-Xiang Wang , Balakrishnan , Narayanaswamy

This study proposes post-quantum encrypted control systems based on dynamic-key Learning with Errors (LWE) encryption schemes. The proposed method develops update maps that simultaneously update the private key and ciphertexts within the…

系统与控制 · 电气工程与系统科学 2026-04-28 Jungjin Park , Kiminao Kogiso

The Ring-Learning With Errors (RLWE) problem forms the backbone of highly efficient Fully Homomorphic Encryption (FHE) schemes. A significant component of the RLWE public key and ciphertext of the form $(b,a)$ is the uniformly random…

密码学与安全 · 计算机科学 2026-02-24 Ilan Rosenfeld , Noam Kleinburd , Hillel Chapman , Dror Reuven

As the complexity and connectivity of networks increase, the need for novel malware detection approaches becomes imperative. Traditional security defenses are becoming less effective against the advanced tactics of today's cyberattacks.…

密码学与安全 · 计算机科学 2024-09-18 Kyle Stein , Andrew A. Mahyari , Guillermo Francia , Eman El-Sheikh

The cryptosystem based on the Learning-with-Errors (LWE) problem is considered as a post-quantum cryptosystem, because it is not based on the factoring problem with large primes which is easily solved by a quantum computer. Moreover, the…

系统与控制 · 计算机科学 2021-01-11 Junsoo Kim , Hyungbo Shim , Kyoohyung Han

Computationally hard problems based on coding theory, such as the syndrome decoding problem, have been used for constructing secure cryptographic schemes for a long time. Schemes based on these problems are also assumed to be secure against…

密码学与安全 · 计算机科学 2024-09-12 Puja Mondal , Supriya Adhikary , Suparna Kundu , Angshuman Karmakar

This paper extends the Kikuchi method to give algorithms for decisional $k$-sparse Learning With Errors (LWE) and $k$-sparse Learning Parity with Noise (LPN) problems for higher moduli $q$. We create a Kikuchi graph for a sparse LWE/LPN…

密码学与安全 · 计算机科学 2026-03-31 Shashwat Agrawal , Amitabha Bagchi , Rajendra Kumar

This paper introduces a privacy-preserving distributed learning framework via private-key homomorphic encryption. Thanks to the randomness of the quantization of gradients, our learning with error (LWE) based encryption can eliminate the…

密码学与安全 · 计算机科学 2024-02-05 Guangfeng Yan , Shanxiang Lyu , Hanxu Hou , Zhiyong Zheng , Linqi Song

The growth of highly advanced Large Language Models (LLMs) constitutes a huge dual-use problem, making it necessary to create dependable AI-generated text detection systems. Modern detectors are notoriously vulnerable to adversarial…

密码学与安全 · 计算机科学 2025-10-06 Lekkala Sai Teja , Annepaka Yadagiri , Sangam Sai Anish , Siva Gopala Krishna Nuthakki , Partha Pakray

Safeguarding the intellectual property of machine learning models has emerged as a pressing concern in AI security. Model watermarking is a powerful technique for protecting ownership of machine learning models, yet its reliability has been…

密码学与安全 · 计算机科学 2024-09-11 Aoting Hu , Yanzhi Chen , Renjie Xie , Adrian Weller

Software is prone to security vulnerabilities. Program analysis tools to detect them have limited effectiveness in practice due to their reliance on human labeled specifications. Large language models (or LLMs) have shown impressive code…

密码学与安全 · 计算机科学 2025-04-08 Ziyang Li , Saikat Dutta , Mayur Naik

An emerging area of research aims to learn deep generative models with limited training data. Prior generative models like GANs and diffusion models require a lot of data to perform well, and their performance degrades when they are trained…

计算机视觉与模式识别 · 计算机科学 2024-09-27 Chirag Vashist , Shichong Peng , Ke Li

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…

量子物理 · 物理学 2013-06-05 Fada Li , Wansu Bao , Xiangqun Fu , Yuchao Zhang , Tan Li

Modern web applications are increasingly produced through AI-assisted development and rapid no-code deployment pipelines, widening the gap between accelerating software velocity and the limited adaptability of existing security tooling.…

密码学与安全 · 计算机科学 2026-03-03 Akshat Singh Jaswal , Ashish Baghel