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We study the satisfiability of randomly generated formulas formed by $M$ clauses of exactly $K$ literals over $N$ Boolean variables. For a given value of $N$ the problem is known to be most difficult with $\alpha=M/N$ close to the…

Computational Complexity · Computer Science 2007-05-23 A. Braunstein , M. Mezard , R. Zecchina

Large language models (LLMs) have shown remarkable performance in various tasks but often fail to handle queries that exceed their knowledge and capabilities, leading to incorrect or fabricated responses. This paper addresses the need for…

Computation and Language · Computer Science 2025-08-27 Wenbo Zhang , Zihang Xu , Hengrui Cai

Much of the existing work on the broadcast channel focuses only on the sending of private messages. In this work we examine the scenario where the sender also wishes to transmit common messages to subsets of receivers. For an L user…

Information Theory · Computer Science 2016-09-08 Leonard Grokop , David N. C. Tse

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

Artificial Intelligence · Computer Science 2014-11-17 R. A Helzerman , M. P. Harper

We consider the situation in which a transmitter attempts to communicate reliably over a discrete memoryless channel while simultaneously ensuring covertness (low probability of detection) with respect to a warden, who observes the signals…

Information Theory · Computer Science 2016-11-18 Matthieu R. Bloch

We consider reachability decision problems for linear dynamical systems: Given a linear map on $\mathbb{R}^d$ , together with source and target sets, determine whether there is a point in the source set whose orbit, obtained by repeatedly…

Logic in Computer Science · Computer Science 2025-08-15 Toghrul Karimov , Edon Kelmendi , Joël Ouaknine , James Worrell

This paper introduces and analyzes a new class of mean-field control (\textsc{MFC}) problems in which agents interact through a \emph{fixed but controllable} network structure. In contrast with the classical \textsc{MFC} framework -- where…

Optimization and Control · Mathematics 2025-11-07 Mao Fabrice Djete

Reconfigurable intelligent surfaces (RISs) have become a promising candidate for the development of future mobile systems. In the context of massive machine-type communications (mMTC), a RIS can be used to support the transmission from a…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Sergi Liesegang , Alessio Zappone , Olga Muñoz , Antonio Pascual-Iserte

The multiuser communication channel, in which multiple users exchange information with the help of a relay terminal, termed the multi-way relay channel (mRC), is introduced. In this model, multiple interfering clusters of users communicate…

Information Theory · Computer Science 2015-03-14 Deniz Gunduz , Aylin Yener , Andrea Goldsmith , H. Vincent Poor

In this study we consider rateless coding over discrete memoryless channels (DMC) with feedback. Unlike traditional fixed-rate codes, in rateless codes each codeword is infinitely long, and the decoding time depends on the confidence level…

Information Theory · Computer Science 2012-01-30 Navot Blits

Hamilton-Jacobi (HJ) reachability analysis provides a formal method for guaranteeing safety in constrained control problems. It synthesizes a value function to represent a long-term safe set called feasible region. Early synthesis methods…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Yujie Yang , Hanjiang Hu , Tianhao Wei , Shengbo Eben Li , Changliu Liu

Designers often create visualizations to achieve specific high-level analytical or communication goals. These goals require people to extract complex and interconnected data patterns. Prior perceptual studies of visualization effectiveness…

Human-Computer Interaction · Computer Science 2026-04-13 Hyotaek Jeon , Hyunwook Lee , Minjeong Shin , Tapendra Pandey , Joohee Kim , Shinwook Seon , Daeun Jeong , Sungahn Ko , Ghulam Jilani Quadri

Knowledge Graphs are pivotal for semantic data integration. The real-world data they model is often inherently uncertain. Within knowledge graphs, uncertainty manifests in three distinct levels: imprecise attribute values, probabilistic…

Artificial Intelligence · Computer Science 2026-05-19 Jingcheng Wu

The level set method is a widely used tool for solving reachability and invariance problems. However, some shortcomings, such as the difficulties of handling dissipation function and constructing terminal conditions for solving the…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Wei Liao , Taotao Liang , Xiaohui Wei , Jizhou Lai

The decision problems on matrices were intensively studied for many decades as matrix products play an essential role in the representation of various computational processes. However, many computational problems for matrix semigroups are…

Formal Languages and Automata Theory · Computer Science 2016-04-28 Igor Potapov , Pavel Semukhin

Synthetic molecular communication (MC) is a new communication engineering paradigm which is expected to enable revolutionary applications such as smart drug delivery and real-time health monitoring. The design and implementation of…

The problem of simultaneous multicasting of multiple messages with the help of a relay terminal is considered. In particular, a model is studied in which a relay station simultaneously assists two transmitters in multicasting their…

Information Theory · Computer Science 2009-02-19 Deniz Gunduz , Osvaldo Simeone , Andrea J. Goldsmith , H. Vincent Poor , Shlomo Shamai

This paper concentrates on a robust transmit optimization problem for the multiuser multi-input single-output (MISO) downlink scenario and under inaccurate channel state information (CSI). This robust problem deals with a general-rank…

Information Theory · Computer Science 2017-04-05 Wing-Kin Ma , Jiaxian Pan , Anthony Man-Cho So , Tsung-Hui Chang

In this paper, we study the problem of secret communication over a multiple-access channel with a common message. Here, we assume that two transmitters have confidential messages, which must be kept secret from the wiretapper (the second…

Information Theory · Computer Science 2016-07-13 Hassan Zivari-Fard , Bahareh Akhbari , Mahmoud Ahmadian-Attari , Mohammad Reza Aref

Cognitive Radio Networks (CRNs) are considered as a promising solution to the spectrum shortage problem in wireless communication. In this paper, we initiate the first systematic study on the algorithmic complexity of the connectivity…

Data Structures and Algorithms · Computer Science 2013-01-08 Hongyu Liang , Tiancheng Lou , Haisheng Tan , Yuexuan Wang , Dongxiao Yu