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We propose a variational regularization approach based on a multiscale representation called cylindrical shearlets aimed at dynamic imaging problems, especially dynamic tomography. The intuitive idea of our approach is to integrate a…

Numerical Analysis · Mathematics 2025-08-05 Tatiana A. Bubba , Tommi Heikkilä , Demetrio Labate , Luca Ratti

Many geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given noisy measurements of a subset of their pairwise relative transforms. This problem is…

Robotics · Computer Science 2017-02-13 David M. Rosen , Luca Carlone , Afonso S. Bandeira , John J. Leonard

A recent quantum computing paper (G. S. Uhrig, Phys Rev Lett 98 100504 (2007)) analytically derived optimal pulse spacings for a multiple spin echo sequence designed to remove decoherence in a two level system coupled to a bath. The…

Chemical Physics · Physics 2015-05-14 Elizabeth Jenista , Ashley Stokes , Rosa Branca , Warren Warren

Implementations of many quantum communication protocols require sources of photon pairs. However, optimization of the properties of these photons for specific applications is an open problem. We theoretically demonstrate the possibility of…

Quantum Physics · Physics 2018-12-11 Mikołaj Lasota , Piotr Kolenderski

Distribution matching transforms independent and Bernoulli(1/2) distributed input bits into a sequence of output symbols with a desired distribution. Fixed-to-fixed length, invertible, and low complexity encoders and decoders based on…

Information Theory · Computer Science 2015-03-18 Patrick Schulte , Georg Böcherer

Supporting ultra-reliable and low-latency communications (URLLC) is one of the major goals for the fifth-generation cellular networks. Since spectrum usage efficiency is always a concern, and large bandwidth is required for ensuring…

Information Theory · Computer Science 2018-01-04 Changyang She , Chenyang Yang , Tony Q. S. Quek

The forward and inverse wavelet transform using the continuous Morlet basis may be symmetrized by using an appropriate normalization factor. The loss of response due to wavelet truncation is addressed through a renormalization of the…

Data Analysis, Statistics and Probability · Physics 2012-02-28 Robert W. Johnson

We consider the distributed optimization problem for the sum of convex functions where the underlying communications network connecting agents at each time is drawn at random from a collection of directed graphs. Building on an earlier work…

Optimization and Control · Mathematics 2020-09-16 Pouya Rezaeinia , Bahman Gharesifard

We introduce the problem of variable-length source resolvability, where a given target probability distribution is approximated by encoding a variable-length uniform random number, and the asymptotically minimum average length rate of the…

Information Theory · Computer Science 2017-01-31 Hideki Yagi , Te Sun Han

Suppose we are given a system of coupled oscillators on an unknown graph along with the trajectory of the system during some period. Can we predict whether the system will eventually synchronize? Even with a known underlying graph…

Dynamical Systems · Mathematics 2022-08-25 Hardeep Bassi , Richard Yim , Rohith Kodukula , Joshua Vendrow , Cherlin Zhu , Hanbaek Lyu

We study the effect of shared non-signaling correlations for the problem of simulating a channel using noiseless communication in the one-shot setting. For classical channels, we show how to round any non-signaling-assisted simulation…

Quantum Physics · Physics 2024-11-18 Aadil Oufkir , Omar Fawzi , Mario Berta

An extended aperture has the potential to greatly improve ultrasound imaging performance. This work extends the effective aperture size by coherently compounding the received radio frequency data from multiple transducers. A framework is…

Medical Physics · Physics 2019-11-12 Laura Peralta , Alberto Gomez , Ying Luan , Baehyung Kim , Joseph V. Hajnal , Robert J. Eckersley

We introduce synchronization strings as a novel way of efficiently dealing with synchronization errors, i.e., insertions and deletions. Synchronization errors are strictly more general and much harder to deal with than commonly considered…

Information Theory · Computer Science 2017-04-05 Bernhard Haeupler , Amirbehshad Shahrasbi

This letter considers the unmanned aerial vehicle (UAV)-enabled relay system to deliver command information under ultra-reliable and low-latency communication (URLLC) requirements. We aim to jointly optimize the blocklength allocation and…

Signal Processing · Electrical Eng. & Systems 2019-01-17 Cunhua Pan , Hong Ren , Yansha Deng , Maged Elkashlan , Arumugam Nallanathan

The problem of projective synchronization(ps) and control are studied in modified unified chaotic system which possess partially linearity property. The desired ratio factor of corresponding subsystem variable could be obtained by state…

Chaotic Dynamics · Physics 2007-05-23 Liang Feng , Xiang Jinglin , Chen Shaohua , Shi Jie

Phase, frequency, and time synchronization are crucial requirements for many applications, such as multi-static remote sensing and communication systems. Moreover, the synchronization solution becomes even more challenging when the nodes…

Signal Processing · Electrical Eng. & Systems 2020-11-23 Juan Merlano Duncan , Liz Martinez-Marrero , Jorge Querol , Sumit Kumar , Adriano Camps , Symeon Chatzinotas , Bjorn Ottersten

Accurate time synchronization is essential for Internet of Things (IoT) systems, where multiple distributed nodes must share a common time base for coordinated sensing and data fusion. However, conventional synchronization approaches suffer…

Networking and Internet Architecture · Computer Science 2026-04-09 Ziyao Zhou , Tiancheng Cao , Chen Shen , Jiaqi Zhang , Yuting Liu , Hen-Wei Huang

Reflecting boundary conditions cause two one-dimensional random walks to synchronize if a common direction is chosen in each step. The mean synchronization time and its standard deviation are calculated analytically. Both quantities are…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Georg Reents , Wolfgang Kinzel

Ultrasonic atomization is employed to generate size-controllable droplets for a variety of applications. Here, we minimize the number of parameters dictating the process by studying the atomization of a single drop pending from an…

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

Disordered Systems and Neural Networks · Physics 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori