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Graph-theoretic methods have seen wide use throughout the literature on multi-agent control and optimization. When communications are intermittent and unpredictable, such networks have been modeled using random communication graphs. When…

最优化与控制 · 数学 2020-08-12 Beth Bjorkman , Matthew Hale , Thomas Lamkin , Benjamin Robinson , Craig Thompson

Motivated by applications in domains such as social networks and computational biology, we study the problem of community recovery in graphs with locality. In this problem, pairwise noisy measurements of whether two nodes are in the same…

信息论 · 计算机科学 2016-06-02 Yuxin Chen , Govinda Kamath , Changho Suh , David Tse

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

信息论 · 计算机科学 2015-11-20 Ayşe Ünsal , Raymond Knopp

The problem of measuring similarity of graphs and their nodes is important in a range of practical problems. There is a number of proposed measures, some of them being based on iterative calculation of similarity between two graphs and the…

人工智能 · 计算机科学 2010-09-28 Mladen Nikolic

Many-party correlations between measurement outcomes in general probabilistic theories are given by conditional probability distributions obeying the non-signalling condition. We show that any such distribution can be obtained from…

量子物理 · 物理学 2013-10-30 Sabri W. Al-Safi , Anthony J. Short

This paper proposes a simple self-supervised approach for learning a representation for visual correspondence from raw video. We cast correspondence as prediction of links in a space-time graph constructed from video. In this graph, the…

计算机视觉与模式识别 · 计算机科学 2020-12-04 Allan Jabri , Andrew Owens , Alexei A. Efros

Suppose two distant observers Alice and Bob share a pure bipartite quantum state. By applying local operations and communicating with each other using a classical channel, Alice and Bob can manipulate it into some other states. Previous…

量子物理 · 物理学 2008-02-03 Hoi-Kwong Lo , Sandu Popescu

For every probability $p\in[0,1]$ we define a distance-based graph property, the $p$TS-distance-balancedness, that in the case $p=0$ coincides with the standard distance-balancedness, and in the case $p=1$ is related to the…

组合数学 · 数学 2020-11-20 Matteo Cavaleri , Alfredo Donno

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

社会与信息网络 · 计算机科学 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

Recently there has been much interest in graph-based learning, with applications in collaborative filtering for recommender networks, link prediction for social networks and fraud detection. These networks can consist of millions of…

社会与信息网络 · 计算机科学 2012-06-26 Purnamrita Sarkar , Andrew Moore

We consider discrete-time distributed averaging algorithms over multi-agent networks with measurement noises and time-varying random graph flows. Each agent updates its state by relative states between neighbours with both additive and…

社会与信息网络 · 计算机科学 2017-02-14 Tao Li , Jiexiang Wang

We introduce new methods and tools to study and characterise classical and quantum correlations emerging from prepare-and-measure experiments with informationally restricted communication. We consider the most general kind of…

量子物理 · 物理学 2022-01-12 Armin Tavakoli , Emmanuel Zambrini Cruzeiro , Erik Woodhead , Stefano Pironio

In this paper we consider the multiparty equality problem in graphs, where every vertex of a graph $G$ is given an input, and the goal of the vertices is to decide whether all inputs are equal. We study this problem in the local broadcast…

组合数学 · 数学 2026-02-25 Louis Esperet , Jean-Florent Raymond

We study the problems of quantum tomography and shadow tomography using measurements performed on individual, identical copies of an unknown $d$-dimensional state. We first revisit a known lower bound due to Haah et al. (2017) on quantum…

量子物理 · 物理学 2025-06-12 Angus Lowe , Ashwin Nayak

Let Alice and Bob be able to make local quantum measurements and communicate classically. The set of mathematically consistent joint probability assignments (``states'') for such measurements is properly larger than the set of…

量子物理 · 物理学 2007-05-23 Howard Barnum , Christopher A. Fuchs , Joseph M. Renes , Alexander Wilce

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

信息论 · 计算机科学 2016-11-15 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

Graph states are widely used in quantum information theory, including entanglement theory, quantum error correction, and one-way quantum computing. Graph states have a nice structure related to a certain graph, which is given by either a…

量子物理 · 物理学 2015-11-20 Shawn X Cui , Nengkun Yu , Bei Zeng

We consider the problem of the classical simulation of quantum measurements in the scenario of communication complexity. Regev and Toner (2007) have presented a 2-bit protocol which simulates one particular correlation function arising from…

量子物理 · 物理学 2013-10-09 Adrian Kosowski , Marcin Markiewicz

In this paper we consider the possible correlations between two parties using local machines and shared randomness with an additional amount of classical communication. This is a continuation of the work initiated by Bacon and Toner in Ref.…

量子物理 · 物理学 2014-05-14 Katherine Maxwell , Eric Chitambar

Gaussian graphical models typically assume a homogeneous structure across all subjects, which is often restrictive in applications. In this article, we propose a weighted pseudo-likelihood approach for graphical modeling which allows…

统计方法学 · 统计学 2023-03-17 Sutanoy Dasgupta , Peng Zhao , Jacob Helwig , Prasenjit Ghosh , Debdeep Pati , Bani K. Mallick