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This paper addresses the problem of determining the minimum set of state variables in a network that need to be blocked from direct measurements in order to protect functional privacy with respect to {\emph{any}} output matrices. The goal…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Yuan Zhang , Ranbo Cheng , Yuanqing Xia

We present verifiable conditions for synthesizing a single smooth Lyapunov function that certifies both asymptotic stability and safety under bounded controls. These sufficient conditions ensure the strict compatibility of a control barrier…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Jun Liu

Singular Value Decomposition (SVD) is a powerful tool in linear algebra.We propose an extension of SVD for both the qualitative detection and quantitative determination of nonlinearity in a time series. The paper illustrates nonlinear SVD…

Chaotic Dynamics · Physics 2009-02-11 Prabhakar G. Vaidya , Sajini Anand P. S , Nithin Nagaraj

In communication through asymmetric channels the capacity-achieving input distribution is not uniform in general. Homophonic coding is a framework to invertibly convert a (usually uniform) message into a sequence with some target…

Information Theory · Computer Science 2017-06-30 Junya Honda , Hirosuke Yamamoto

We study the collection of first-order logical schemata all of whose instances are theorems of a given theory $T$; we call these the validities of $T$ ($\mathsf{V}(T)$). It is easy to see that if $T$ is a decidable theory, then…

Logic · Mathematics 2026-05-26 Denis R. Hirschfeldt , Henry Towsner , Scott Weinstein

We revisit the problem of statistical sequence matching initiated by Unnikrishnan (TIT 2015) and derive theoretical performance guarantees for sequential tests that have bounded expected stopping times. Specifically, in this problem, one is…

Information Theory · Computer Science 2025-06-05 Lin Zhou , Qianyun Wang , Yun Wei , Jingjing Wang

We show how fragile stable matchings are in a decentralized one-to-one matching setting. The classical work of Roth and Vande Vate (1990) suggests simple decentralized dynamics in which randomly-chosen blocking pairs match successively.…

Theoretical Economics · Economics 2024-03-20 Kirill Rudov

High-order control barrier functions (HOCBFs) can be used to provide autonomous systems with safety, though computational methods to verify and synthesize these functions remain lacking. In this work, we address this need by formulating SOS…

Systems and Control · Electrical Eng. & Systems 2025-02-06 Ellie Pond , Matthew Hale

We develop the first constructive algorithms for compiling single-qubit unitary gates into circuits over the universal $V$ basis. The $V$ basis is an alternative universal basis to the more commonly studied $\{H,T\}$ basis. We propose two…

Quantum Physics · Physics 2013-07-29 Alex Bocharov , Yuri Gurevich , Krysta M. Svore

We propose a security verification framework for cryptographic protocols using machine learning. In recent years, as cryptographic protocols have become more complex, research on automatic verification techniques has been focused on. The…

Cryptography and Security · Computer Science 2023-04-27 Kentaro Ohno , Misato Nakabayashi

Type-and-effect systems are a widely-used approach to program verification, verifying the result of a computation using types, and the behavior using effects. This paper extends an effect system for verifying temporal, value-dependent…

Programming Languages · Computer Science 2022-07-22 Taro Sekiyama , Hiroshi Unno

Process mining extracts valuable insights from event data to help organizations improve their business processes, which is essential for their growth and success. By leveraging process mining techniques, organizations gain a comprehensive…

Databases · Computer Science 2024-06-14 Nesma M. Zaki , Iman M. A. Helal , Ehab E. Hassanein , Ahmed Awad

The Fisher-Yates shuffle is a well-known algorithm for shuffling a finite sequence, such that every permutation is equally likely. Despite its simplicity, it is prone to implementation errors that can introduce bias into the generated…

Cryptography and Security · Computer Science 2025-01-13 Stefan Zetzsche , Jean-Baptiste Tristan , Tancrede Lepoint , Mikael Mayer

Vertical federated learning (VFL) enables the collaborative training of machine learning (ML) models in settings where the data is distributed amongst multiple parties who wish to protect the privacy of their individual data. Notably, in…

Cryptography and Security · Computer Science 2023-06-21 Shuangyi Chen , Anuja Modi , Shweta Agrawal , Ashish Khisti

Software Composition Analysis (SCA) has become pivotal in addressing vulnerabilities inherent in software project dependencies. In particular, reachability analysis is increasingly used in Open-Source Software (OSS) projects to identify…

Software Engineering · Computer Science 2025-06-25 Lyuye Zhang , Jian Zhang , Kaixuan Li , Chong Wang , Chengwei Liu , Jiahui Wu , Sen Chen , Yaowen Zheng , Yang Liu

Test-time scaling for complex reasoning tasks shows that leveraging inference-time compute, by methods such as independently sampling and aggregating multiple solutions, results in significantly better task outcomes. However, a critical…

Remote run-time attestation methods, including Control Flow Attestation (CFA) and Data Flow Attestation (DFA), have been proposed to generate precise evidence of execution's control flow path (in CFA) and optionally execution data inputs…

Cryptography and Security · Computer Science 2025-07-08 Adam Caulfield , Norrathep Rattanavipanon , Ivan De Oliveira Nunes

Detrended fluctuation analysis (DFA) has been used widely to determine possible long-range correlations in data obtained from diverse settings. In a recent study [1], uncorrelated random spikes superimposed on the long-range correlated…

Statistical Mechanics · Physics 2007-05-23 Radhakrishnan Nagarajan

We exhibit a randomized algorithm which given a matrix $A\in \mathbb{C}^{n\times n}$ with $\|A\|\le 1$ and $\delta>0$, computes with high probability an invertible $V$ and diagonal $D$ such that $\|A-VDV^{-1}\|\le \delta$ using…

Numerical Analysis · Mathematics 2022-07-21 Jess Banks , Jorge Garza-Vargas , Archit Kulkarni , Nikhil Srivastava

The server-less nature of Decentralized Federated Learning (DFL) requires allocating the aggregation role to specific participants in each federated round. Current DFL architectures ensure the trustworthiness of the aggregator node upon…

Machine Learning · Computer Science 2025-12-08 Ehsan Hallaji , Roozbeh Razavi-Far , Mehrdad Saif
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