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Related papers: Anomaly Detection with LWE Encrypted Control

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Although encrypted control systems ensure confidentiality of private data, it is challenging to detect anomalies without the secret key as all signals remain encrypted. To address this issue, we propose a homomorphic encryption scheme for…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yeongjun Jang , Joowon Lee , Junsoo Kim , Takashi Tanaka , Hyungbo Shim

IoT devices have become indispensable components of our lives, and the advancement of AI technologies will make them even more pervasive, increasing the vulnerability to malfunctions or cyberattacks and raising privacy concerns. Encryption…

Cryptography and Security · Computer Science 2026-04-15 Anca Hangan , Dragos Lazea , Tudor Cioara

Hacking and false data injection from adversaries can threaten power grids' everyday operations and cause significant economic loss. Anomaly detection in power grids aims to detect and discriminate anomalies caused by cyber attacks against…

Machine Learning · Computer Science 2023-03-14 Xijuan Sun , Di Wu , Arnaud Zinflou , Benoit Boulet

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

Various approaches in the field of physical layer security involve anomaly detection, such as physical layer authentication, sensing attacks, and anti-tampering solutions. Depending on the context in which these approaches are applied,…

Information Theory · Computer Science 2025-06-13 Stefan Roth , Aydin Sezgin

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…

Systems and Control · Computer Science 2021-01-11 Junsoo Kim , Hyungbo Shim , Kyoohyung Han

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

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…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Jungjin Park , Kiminao Kogiso

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

The shift to smart grids has made electrical power systems more vulnerable to sophisticated cyber threats. To protect these systems, holistic security measures that encompass preventive, detective, and reactive components are required, even…

Cryptography and Security · Computer Science 2024-12-09 Omer Sen , Mehdi Akbari Gurabi , Milan Deruelle , Andreas Ulbig , Stefan Decker

Anomaly detection is the process of identifying abnormal instances or events in data sets which deviate from the norm significantly. In this study, we propose a signatures based machine learning algorithm to detect rare or unexpected items…

Computational Finance · Quantitative Finance 2022-02-09 Erdinc Akyildirim , Matteo Gambara , Josef Teichmann , Syang Zhou

Learning with Errors is one of the fundamental problems in computational learning theory and has in the last years become the cornerstone of post-quantum cryptography. In this work, we study the quantum sample complexity of Learning with…

Quantum Physics · Physics 2019-03-27 Alex B. Grilo , Iordanis Kerenidis , Timo Zijlstra

In this paper, we present a method to encrypt dynamic controllers that can be implemented through most homomorphic encryption schemes, including somewhat, leveled fully, and fully homomorphic encryption. To this end, we represent the output…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Joowon Lee , Donggil Lee , Junsoo Kim , Hyungbo Shim

Embedded devices are omnipresent in modern networks including the ones operating inside critical environments. However, due to their constrained nature, novel mechanisms are required to provide external, and non-intrusive anomaly detection.…

Cryptography and Security · Computer Science 2023-02-07 Kurt A. Vedros , Georgios Michail Makrakis , Constantinos Kolias , Robert C. Ivans , Craig Rieger

Most of the existing methods for anomaly detection use only positive data to learn the data distribution, thus they usually need a pre-defined threshold at the detection stage to determine whether a test instance is an outlier.…

Machine Learning · Computer Science 2019-03-19 Kai Tian , Shuigeng Zhou , Jianping Fan , Jihong Guan

We propose a multi-bit leveled fully homomorphic encryption scheme using multivariate polynomial evaluations. The security of the scheme depends on the hardness of the Learning with Errors (LWE) problem. For homomorphic multiplication, the…

Cryptography and Security · Computer Science 2020-07-02 Uddipana Dowerah , Srinivasan Krishnaswamy

In order to detect unknown intrusions and runtime errors of computer programs, the cyber-security community has developed various detection techniques. Anomaly detection is an approach that is designed to profile the normal runtime behavior…

Cryptography and Security · Computer Science 2021-06-03 Byunggu Yu , Junwhan Kim

Encryption-based attacks have introduced significant challenges for detection mechanisms that rely on predefined signatures, heuristic indicators, or static rule-based classifications. Probabilistic Latent Encryption Mapping presents an…

Cryptography and Security · Computer Science 2025-03-26 Mohammad Eisa , Quentin Yardley , Rafael Witherspoon , Harriet Pendlebury , Clement Rutherford

The Learning with Errors (LWE) problem underlies modern lattice-based cryptography and is assumed to be quantum hard. Recent results show that estimating entanglement entropy is as hard as LWE, creating tension with quantum gravity and…

Quantum Physics · Physics 2025-10-20 Yunfei Wang , Xin Jin , Junyu Liu

Unsupervised anomaly detection is a challenging task. Autoencoders (AEs) or generative models are often employed to model the data distribution of normal inputs and subsequently identify anomalous, out-of-distribution inputs by high…

Machine Learning · Computer Science 2025-06-12 Yalin Liao , Austin J. Brockmeier
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