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This paper shows that, if we could examine the entire history of a hidden variable, then we could efficiently solve problems that are believed to be intractable even for quantum computers. In particular, under any hidden-variable theory…

Quantum Physics · Physics 2007-05-23 Scott Aaronson

Learning interpretable representations of data remains a central challenge in deep learning. When training a deep generative model, the observed data are often associated with certain categorical labels, and, in parallel with learning to…

Machine Learning · Computer Science 2019-10-01 Yifan Xue , Michael Ding , Xinghua Lu

We give a randomized $2^{n+o(n)}$-time and space algorithm for solving the Shortest Vector Problem (SVP) on n-dimensional Euclidean lattices. This improves on the previous fastest algorithm: the deterministic $\widetilde{O}(4^n)$-time and…

Data Structures and Algorithms · Computer Science 2019-01-28 Divesh Aggarwal , Daniel Dadush , Oded Regev , Noah Stephens-Davidowitz

The advent of quantum computing necessitates the transition of worldwide cryptosystems to post-quantum cryptography (PQC), which is founded upon the problem of finding short vectors in high-dimensional structured lattices. It is assumed…

Quantum Physics · Physics 2026-01-13 Eden Schirman , Cong Ling , Florian Mintert

Vector perturbation (VP) precoding is a promising technique for multiuser communication systems operating in the downlink. In this work, we introduce a hybrid framework to improve the performance of lattice reduction (LR) aided precoding in…

Information Theory · Computer Science 2018-06-11 Shanxiang Lyu , Cong Ling

A specific challenge with deep learning approaches for molecule generation is generating both syntactically valid and chemically plausible molecular string representations. To address this, we propose a novel generative latent-variable…

Biomolecules · Quantitative Biology 2024-07-22 Ulrich A. Mbou Sob , Qiulin Li , Miguel Arbesú , Oliver Bent , Andries P. Smit , Arnu Pretorius

We introduce a framework generalizing lattice reduction algorithms to module lattices in order to practically and efficiently solve the $\gamma$-Hermite Module-SVP problem over arbitrary cyclotomic fields. The core idea is to exploit the…

Data Structures and Algorithms · Computer Science 2019-12-11 Thomas Espitau , Paul Kirchner , Pierre-Alain Fouque

To accelerate the algorithms for the dihedral hidden subgroup problem, we present a new algorithm based on algorithm SV(shortest vector). A subroutine is given to get a transition quantum state by constructing a phase filter function, then…

Quantum Physics · Physics 2013-05-30 Fada Li , Wansu Bao , Xiangqun Fu

Support vector machine (SVM) is a particularly powerful and flexible supervised learning model that analyzes data for both classification and regression, whose usual algorithm complexity scales polynomially with the dimension of data space…

Machine Learning · Computer Science 2023-03-08 Chen Ding , Tian-Yi Bao , He-Liang Huang

Molecular representation learning aims to learn vector embeddings that capture molecular structure and geometry, thereby enabling property prediction and downstream scientific applications. In many AI for science tasks, labeled data are…

Biomolecules · Quantitative Biology 2026-01-28 Kun Li , Longtao Hu , Yida Xiong , Jiajun Yu , Hongzhi Zhang , Jiameng Chen , Xiantao Cai , Jia Wu , Wenbin Hu

The application of genetic algorithms (GAs) to many optimization problems in organizations often results in good performance and high quality solutions. For successful and efficient use of GAs, it is not enough to simply apply simple GAs…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Maroun Bercachi , Philippe Collard , Manuel Clergue , Sébastien Verel

We revisit the approximate Voronoi cells approach for solving the closest vector problem with preprocessing (CVPP) on high-dimensional lattices, and settle the open problem of Doulgerakis-Laarhoven-De Weger [PQCrypto, 2019] of determining…

Data Structures and Algorithms · Computer Science 2019-07-11 Thijs Laarhoven

Reconstructing the evolutionary history relating a collection of molecular sequences is the main subject of modern Bayesian phylogenetic inference. However, the commonly used Markov chain Monte Carlo methods can be inefficient due to the…

Machine Learning · Statistics 2024-08-12 Tianyu Xie , Frederick A. Matsen , Marc A. Suchard , Cheng Zhang

Recently, researchers have applied genetic algorithms (GAs) to address some problems in quantum computation. Also, there has been some works in the designing of genetic algorithms based on quantum theoretical concepts and techniques. The so…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Gilson A. Giraldi , Renato Portugal , Ricardo N. Thess

Large language models (LLMs) remain acutely vulnerable to prompt injection and related jailbreak attacks; heuristic guardrails (rules, filters, LLM judges) are routinely bypassed. We present Contextual Integrity Verification (CIV), an…

Cryptography and Security · Computer Science 2025-08-20 Aayush Gupta

Modern cyberattacks are increasingly complex, posing significant challenges to classical machine learning methods, particularly when labeled data is limited and feature interactions are highly non-linear. In this study we investigates the…

Cryptography and Security · Computer Science 2026-01-06 Jessica A. Sciammarelli , Waqas Ahmed

Threat detection models in cybersecurity must keep up with shifting traffic, strict feature budgets, and noisy hardware, yet even strong classical systems still miss rare or borderline attacks when the data distribution drifts. Small,…

Quantum Physics · Physics 2025-12-23 Zisheng Chen , Zirui Zhu , Xiangyang Li

In this paper we consider the closest vector problem (CVP) for lattices $\Lambda \subseteq \mathbb{Z}^n$ given by a generator matrix $A\in \mathcal{M}_{n\times n}(\mathbb{Z})$. Let $b>0$ be the maximum of the absolute values of the entries…

Cryptography and Security · Computer Science 2023-04-10 Eduardo Canale , Claudio Qureshi , Alfredo Viola

With the rapid development of Artificial Intelligence (AI), the problem of AI security has gradually emerged. Most existing machine learning algorithms may be attacked by adversarial examples. An adversarial example is a slightly modified…

Cryptography and Security · Computer Science 2018-10-19 Yingdi Wang , Wenjia Niu , Tong Chen , Yingxiao Xiang , Jingjing Liu , Gang Li , Jiqiang Liu

The Closest Vector Problem (CVP) is a computational problem in lattices that is central to modern cryptography. The study of its fine-grained complexity has gained momentum in the last few years, partly due to the upcoming deployment of…

Data Structures and Algorithms · Computer Science 2025-01-08 Amir Abboud , Rajendra Kumar
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