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A basic problem in information theory is the following: Let $\mathbf{P} = (\mathbf{X}, \mathbf{Y})$ be an arbitrary distribution where the marginals $\mathbf{X}$ and $\mathbf{Y}$ are (potentially) correlated. Let Alice and Bob be two…

Computational Complexity · Computer Science 2017-02-17 Anindya De , Elchanan Mossel , Joe Neeman

A new paradigm for secure communication, based on quantum illumination, is proposed. Alice uses spontaneous parametric down-conversion to send Bob a set of signal modes over a pure-loss channel while retaining the set of idler modes with…

Quantum Physics · Physics 2009-04-28 Jeffrey H. Shapiro

We consider the following communication problem: Alice and Bob each have some valuation functions $v_1(\cdot)$ and $v_2(\cdot)$ over subsets of $m$ items, and their goal is to partition the items into $S, \bar{S}$ in a way that maximizes…

Computer Science and Game Theory · Computer Science 2017-04-13 Mark Braverman , Jieming Mao , S. Matthew Weinberg

We consider the learning and communication complexity of subsequence containment. In the learning problem, we seek to learn a classifier that positively labels a binary string $x$ if it contains a fixed binary string $y$ as a subsequence.…

Discrete Mathematics · Computer Science 2023-01-23 Mason DiCicco , Daniel Reichman

We address the problem of distributed cooperative localization in wireless networks, i.e. nodes without prior position knowledge (agents) wish to determine their own positions. In non-cooperative approaches, positioning is only based on…

Signal Processing · Electrical Eng. & Systems 2018-02-09 Rico Mendrzik , Gerhard Bauch

Distributed function computation is the problem, for a networked system of $n$ autonomous agents, to collectively compute the value $f(v_1, \ldots, v_n)$ of some input values, each initially private to one agent in the network. Here, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-30 Bernadette Charron-Bost , Patrick Lambein-Monette

The aim of this paper is to present an alternative formulation of the attention scoring function in translation tasks. Generally speaking, language is deeply structured, and this is reflected in the attention scoring matrix. We exploit this…

Computation and Language · Computer Science 2024-09-04 Eddie Conti

Network design problems aim to compute low-cost structures such as routes, trees and subgraphs. Often, it is natural and desirable to require that these structures have small hop length or hop diameter. Unfortunately, optimization problems…

Data Structures and Algorithms · Computer Science 2020-11-13 Bernhard Haeupler , D Ellis Hershkowitz , Goran Zuzic

Blind quantum computation (BQC) allows a client (Alice), who only possesses relatively poor quantum devices, to delegate universal quantum computation to a server (Bob) in such a way that Bob cannot know Alice's inputs, algorithm, and…

Quantum Physics · Physics 2016-05-11 Yuki Takeuchi , Keisuke Fujii , Rikizo Ikuta , Takashi Yamamoto , Nobuyuki Imoto

Based on homodyne detection, we discuss how the presence of an event horizon affects quantum communication between an inertial partner, Alice, and a uniformly accelerated partner, Rob. We show that there exists a low frequency cutoff for…

Quantum Physics · Physics 2015-07-03 Daiqin Su , T. C. Ralph

In this work we introduce an intermediate setting between quantum nonlocality and communication complexity problems. More precisely, we study the value of XOR games $G$ when Alice and Bob are allowed to use a limited amount of one-way…

Quantum Physics · Physics 2018-10-10 Marius Junge , Carlos Palazuelos , Ignacio Villanueva

Covert wireless communication can prevent an adversary from knowing the existence of user's transmission, thus provide stronger security protection. In AWGN channels, a square root law was obtained and the result shows that Alice can…

Information Theory · Computer Science 2018-05-17 Zhihong Liu , Jiajia Liu , Yong Zeng , Jianfeng Ma , Qiping Huang

There exist many criteria for the optimal design of water distribution networks. One of the most common criteria is to design the optimal cost water distribution network while satisfying the hydraulic design constraints. This study was…

Optimization and Control · Mathematics 2023-08-23 K. H. M. R. N. Senavirathna , C. K. Walgampaya

Quantum entanglement cannot be used to achieve direct communication between remote parties, but it can reduce the communication needed for some problems. Let each of k parties hold some partial input data to some fixed k-variable function…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Wim van Dam , Peter Hoyer , Alain Tapp

Model-based coding, described by John Pierce in 1961, has great potential to reduce the volume of information that needs to be transmitted in moving big data, without loss of information, from one place to another, or in lossless…

Information Theory · Computer Science 2016-12-09 J Gerard Wolff

Suppose Alice trains an open-weight language model and Bob uses a blackbox derivative of Alice's model to produce text. Can Alice prove that Bob is using her model, either by querying Bob's derivative model (query setting) or from the text…

Machine Learning · Computer Science 2025-10-23 Rohith Kuditipudi , Jing Huang , Sally Zhu , Diyi Yang , Christopher Potts , Percy Liang

The mathematical framework of quantum theory, though fundamentally distinct from classical physics, raises the question of whether quantum processes can be efficiently simulated using classical resources. For instance, a sender (Alice)…

Quantum Physics · Physics 2025-07-17 Sahil Gopalkrishna Naik , Mani Zartab , Nicolas Gisin , Manik Banik

This paper investigates covert communications in an integrated sensing and communications system, where a dual-functional base station (called Alice) covertly transmits signals to a covert user (called Bob) while sensing multiple targets,…

Information Theory · Computer Science 2024-08-29 Runzhe Tang , Long Yang , Lv Lu , Zheng Zhang , Yuanwei Liu , Jian Chen

Persistent homology has been studied to better understand the structural properties and topology features of weighted networks. It can reveal hidden layers of information about the higher-order structures formed by non-pairwise interactions…

Combinatorics · Mathematics 2025-06-25 Udit Raj , Slobodan Maletić , Sudeepto Bhattacharya

Covert communication conceals the transmission of the message from an attentive adversary. Recent work on the limits of covert communication in additive white Gaussian noise (AWGN) channels has demonstrated that a covert transmitter (Alice)…

Information Theory · Computer Science 2018-09-25 Ramin Soltani , Dennis Goeckel , Don Towsley , Boulat Bash , Saikat Guha