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The principal goal of Group Testing (GT) is to identify a small subset of "defective" items from a large population, by grouping items into as few test pools as possible. The test outcome of a pool is positive if it contains at least one…

Information Theory · Computer Science 2020-08-13 Alejandro Cohen , Asaf Cohen , Omer Gurewitz

We propose a method to model metallic surfaces in Lattice Boltzmann Electrokinetics simulations (LBE), a lattice-based algorithm rooted in kinetic theory which captures the coupled solvent and ion dynamics in electrolyte solutions. This is…

Computational Physics · Physics 2020-06-19 Adelchi J. Asta , Ivan Palaia , Emmanuel Trizac , Maximilien Levesque , Benjamin Rotenberg

While the amount of data produced and accumulated continues to advance at unprecedented rates, protection and concealment of data increase its prominence as a field of scientific study that requires more action. It is essential to protect…

Cryptography and Security · Computer Science 2023-02-14 Cansu Betin Onur

We show that the timed Dicke states of a collection of three-level atoms can form a tight-binding lattice in momentum space. This lattice, coined the superradiance lattice (SL), can be constructed based on electromagnetically induced…

Atomic Physics · Physics 2015-01-29 Da-Wei Wang , Ren-Bao Liu , Shi-Yao Zhu , Marlan O. Scully

Group or cluster structure on explanatory variables in machine learning problems is a very general phenomenon, which has attracted broad interest from practitioners and theoreticians alike. In this work we contribute an approach to learning…

Methodology · Statistics 2022-01-21 Subhroshekhar Ghosh , Soumendu Sundar Mukherjee

The Messaging Layer security (MLS) and its underlying Continuous Group Key Agreement (CGKA) protocol allows a group of users to share a cryptographic secret in a dynamic manner, such that the secret is modified in member insertions and…

Cryptography and Security · Computer Science 2026-04-23 David Soler , Carlos Dafonte , Manuel Fernández-Veiga , Ana Fernández Vilas , Francisco J. Nóvoa

This paper consolidates the core technologies and key concepts of our novel Lachesis consensus protocol and Fantom Opera platform, which is permissionless, leaderless and EVM compatible. We introduce our new protocol, so-called Lachesis,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Quan Nguyen , Andre Cronje , Michael Kong , Egor Lysenko , Alex Guzev

This paper studies the lattice agreement problem and proposes a stronger form, $\varepsilon$-bounded lattice agreement, that enforces an additional tightness constraint on the outputs. To formalize the concept, we define a quasi-metric on…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-04 Abdullah Rasheed , Nidhi Dubagunta

Our main result is a reduction from worst-case lattice problems such as GapSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learning from parity with error' problem to higher moduli. It can…

Cryptography and Security · Computer Science 2024-01-09 Oded Regev

We perform renormalization group transformations to construct optimally local perfect lattice actions for free scalar fields of any mass. Their couplings decay exponentially. The spectrum is identical to the continuum spectrum, while…

High Energy Physics - Lattice · Physics 2016-12-28 W. Bietenholz

In this paper, we study algorithmic problems for automaton semigroups and automaton groups related to freeness and finiteness. In the course of this study, we also exhibit some connections between the algebraic structure of automaton…

Formal Languages and Automata Theory · Computer Science 2020-04-10 Daniele D'Angeli , Emanuele Rodaro , Jan Philipp Wächter

Why study Lattice-based Cryptography? There are a few ways to answer this question. 1. It is useful to have cryptosystems that are based on a variety of hard computational problems so the different cryptosystems are not all vulnerable in…

Cryptography and Security · Computer Science 2022-09-29 Yang Li , Kee Siong Ng , Michael Purcell

Multi-signature is a protocol where a set of signatures jointly sign a message so that the final signature is significantly shorter than concatenating individual signatures together. Recently, it finds applications in blockchain, where…

Cryptography and Security · Computer Science 2023-02-07 Shaoquan Jiang , Dima Alhadidi , Hamid Fazli Khojir

Community detection refers to finding densely connected groups of nodes in graphs. In important applications, such as cluster analysis and network modelling, the graph is sparse but outliers and heavy-tailed noise may obscure its structure.…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Aylin Tastan , Michael Muma , Abdelhak M. Zoubir

Discrete Gaussian Sampling on lattices is a fundamental problem in lattice-based cryptography. It appears both in basic cryptographic primitives such as digital signatures and as an important cryptanalysis building block for solving hard…

Quantum Physics · Physics 2026-05-20 Clémence Chevignard , Yixin Shen , André Schrottenloher

We construct a strong PUF with provable security against ML attacks on both classical and quantum computers. The security is guaranteed by the cryptographic hardness of learning decryption functions of public-key cryptosystems, and the…

Cryptography and Security · Computer Science 2023-03-07 Xiaodan Xi , Ge Li , Ye Wang , Yeonsoo Jeon , Michael Orshansky

In this work, we study lattice structures that exhibit a bistable behavior, i. e., they can snap from one stable state to another, and are also completely reversible, capable of reverting back to its original state through a heat treatment.…

Classical Physics · Physics 2022-07-19 Aditya Vasudevan , José A. Rodríguez-Martínez , Ignacio Romero

While online interactions and exchanges have grown exponentially over the past decade, most commercial infrastructures still operate through centralized protocols, and their success essentially depends on trust between different economic…

Computer Science and Game Theory · Computer Science 2022-11-08 Marwan Zeggari , Renaud Lambiotte , Aydin Abadi , Louise Axon , Mohamad Kassab

We investigate structural and rigidity properties of \emph{Lie skew braces} (LSBs), objects essentially known in the literature as \emph{post--Lie groups}, obtained by endowing a manifold with two compatible group laws that share the same…

Group Theory · Mathematics 2026-02-26 Marco Damele , Andrea Loi

Deep neural networks often learn and rely on spurious correlations, i.e., superficial associations between non-causal features and the targets. For instance, an image classifier may identify camels based on the desert backgrounds. While it…

Machine Learning · Computer Science 2025-07-22 Wenqian Ye , Guangtao Zheng , Aidong Zhang