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We study the performance of the spectral method for the phase synchronization problem with additive Gaussian noises and incomplete data. The spectral method utilizes the leading eigenvector of the data matrix followed by a normalization…

Statistics Theory · Mathematics 2024-01-09 Anderson Ye Zhang

The subject of this paper is transmission over a general class of binary-input memoryless symmetric channels using error correcting codes based on sparse graphs, namely low-density generator-matrix and low-density parity-check codes. The…

Information Theory · Computer Science 2009-03-12 Shrinivas Kudekar , Nicolas Macris

We present many new results related to reliable (interactive) communication over insertion-deletion channels. Synchronization errors, such as insertions and deletions, strictly generalize the usual symbol corruption errors and are much…

Information Theory · Computer Science 2018-03-22 Bernhard Haeupler , Amirbehshad Shahrasbi , Ellen Vitercik

Detection of signals buried in noise is the major challenge for sensing. Classically, the optimal detector is a matched filter, whose sensitivity meets the classical limit of correlation between the filter target and the measured signal…

Transitive consistency is an intrinsic property for collections of linear invertible transformations between Euclidean coordinate frames. In practice, when the transformations are estimated from data, this property is lacking. This work…

Optimization and Control · Mathematics 2015-09-03 Johan Thunberg , Florian Bernard , Jorge Goncalves

Stability of synchronization in delay-coupled networks of identical units generally depends in a complicated way on the coupling topology. We show that for large coupling delays synchronizability relates in a simple way to the spectral…

Chaotic Dynamics · Physics 2010-12-16 V. Flunkert , S. Yanchuk , T. Dahms , E. Schoell

Semi-supervised learning (SSL) is a promising machine learning paradigm to address the issue of label scarcity in medical imaging. SSL methods were originally developed in image classification. The state-of-the-art SSL methods in image…

Computer Vision and Pattern Recognition · Computer Science 2023-05-03 Mou-Cheng Xu , Yukun Zhou , Chen Jin , Marius De Groot , Neil P. Oxtoby , Daniel C. Alexander , Joseph Jacob

The class of controlled synchronization systems under information constraints imposed by limited information capacity of the coupling channel is analyzed. It is shown that the framework proposed in A. L. Fradkov, B. Andrievsky, R. J. Evans,…

Dynamical Systems · Mathematics 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

Synchronization of oscillations is a phenomenon prevalent in natural, social, and engineering systems. Controlling synchronization of oscillating systems is motivated by a wide range of applications from neurological treatment of…

Optimization and Control · Mathematics 2015-03-19 Jr-Shin Li , Isuru Dasanayake , Justin Ruths

With the increasing number of user equipment (UE) and data demands, denser access points (APs) are being employed. Resource allocation problems have been extensively researched with interference treated as noise. It is well understood that…

Networking and Internet Architecture · Computer Science 2020-04-20 Jing Li , Dongning Guo

The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system…

Chaotic Dynamics · Physics 2013-07-23 Tanmoy Banerjee , Debabrata Biswas

We show how to distribute with percentage success probabilities almost perfectly entangled qubit memory pairs over repeater channel segments of the order of the optical attenuation distance. In addition to some weak, dispersive light-matter…

Quantum Physics · Physics 2013-05-29 Ludmila Praxmeyer , Peter van Loock

The problem of scheduling sensor transmissions for the detection of correlated random fields using spatially deployed sensors is considered. Using the large deviations principle, a closed-form expression for the error exponent of the miss…

Information Theory · Computer Science 2007-07-16 Youngchul Sung , Lang Tong , H. Vincent Poor

Synchronization is of importance in both fundamental and applied physics, but their demonstration at the micro/nanoscale is mainly limited to low-frequency oscillations like mechanical resonators. Here, we report the synchronization of two…

Optics · Physics 2019-07-09 Da Xu , Zi-Zhao Han , Yu-Kun Lu , Qihuang Gong , Cheng-Wei Qiu , Gang Chen , Yun-Feng Xiao

We consider collocated wireless sensor networks, where each node has a Boolean measurement and the goal is to compute a given Boolean function of these measurements. We first consider the worst case setting and study optimal block…

Information Theory · Computer Science 2011-05-09 Hemant Kowshik , P. R. Kumar

Dynamic scattering and imaging with coherent, ultrafast, extreme ultraviolet (EUV) light sources can resolve charge, phonon and spin processes on their intrinsic length and time scales. However, full field coherent diffraction imaging…

Using a maximum-likelihood criterion, we derive optimal correlation strategies for signals with and without digitization. We assume that the signals are drawn from zero-mean Gaussian distributions, as is expected in radio-astronomical…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Michael D. Johnson , Hung H. Chou , Carl R. Gwinn

In a decentralized and self-configuring network, the communication devices are considered as autonomous decision-makers that sense their environment and that implement optimal transmission schemes. It is essential that these autonomous…

Information Theory · Computer Science 2017-06-05 Maël Le Treust

Multimode optical fibers represent the ideal platform for transferring multidimensional light states. However, dispersion degrades the correlations between the light's degrees of freedom, thus limiting the effective transport of ultrashort…

The operation of long-distance quantum networks requires photons to be synchronized and must account for length variations of quantum channels. We demonstrate a 200 MHz clock-rate fiber optic-based quantum network using off-the-shelf…

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