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Large data sets often require performing distributed statistical estimation, with a full data set split across multiple machines and limited communication between machines. To study such scenarios, we define and study some refinements of…

Information Theory · Computer Science 2014-06-24 John C. Duchi , Michael I. Jordan , Martin J. Wainwright , Yuchen Zhang

A network-based optimization approach, EEE, is proposed for the purpose of providing validation-viable state estimations to remediate the failure of pretrained models. To improve optimization efficiency and convergence, the most important…

Neural and Evolutionary Computing · Computer Science 2023-04-25 Ruiyuan Kang , Dimitrios Kyritsis , Panos Liatsis

The large beamforming gain used to operate at millimeter wave (mmWave) frequencies requires obtaining channel information to configure hybrid antenna arrays. Previously proposed wideband channel estimation strategies, however, assume…

Signal Processing · Electrical Eng. & Systems 2019-06-06 Javier Rodriguez-Fernandez , Nuria Gonzalez-Prelcic

We study the computational phase transition in a multi-frequency group synchronization problem, where pairwise relative measurements of group elements are observed across multiple frequency channels and corrupted by Gaussian noise. Using…

Statistics Theory · Mathematics 2026-01-29 Zhangsong Li

The problem of clock offset estimation in a two-way timing exchange regime is considered when the likelihood function of the observation time stamps is exponentially distributed. In order to capture the imperfections in node oscillators,…

Information Theory · Computer Science 2012-02-02 Aitzaz Ahmad , Davide Zennaro , Erchin Serpedin , Lorenzo Vangelista

This paper establishes a nearly optimal algorithm for estimating the frequencies and amplitudes of a mixture of sinusoids from noisy equispaced samples. We derive our algorithm by viewing line spectral estimation as a sparse recovery…

Information Theory · Computer Science 2013-04-02 Gongguo Tang , Badri Narayan Bhaskar , Benjamin Recht

This paper addresses the problem of sparse phase retrieval, a fundamental inverse problem in applied mathematics, physics, and engineering, where a signal need to be reconstructed using only the magnitude of its transformation while phase…

Machine Learning · Statistics 2025-04-15 The Tien Mai

A common problem to signal processing are biases introduced by correlated noise. When quantifying time delays between two signals, mixed noise introduces a bias towards zero delay in conventional delay estimates based on the cross- or…

Signal Processing · Electrical Eng. & Systems 2025-06-02 Tin Jurhar , Franziska Pellegrini , Ana I. Nuñes del Toro , Tilman Stephani , Guido Nolte , Stefan Haufe

Recovering an unknown complex signal from the magnitude of linear combinations of the signal is referred to as phase retrieval. We present an exact performance analysis of a recently proposed convex-optimization-formulation for this…

Information Theory · Computer Science 2018-01-23 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

Millimeter wave communications rely on narrow-beam transmissions to cope with the strong signal attenuation at these frequencies, thus demanding precise beam alignment between transmitter and receiver. The communication overhead incurred to…

Information Theory · Computer Science 2017-02-22 Muddassar Hussain , Nicolo Michelusi

This article considers the problem of delay optimal bundling of the input symbols into transmit packets in the entry point of a wireless sensor network such that the link delay is minimized under an arbitrary arrival rate and a given…

Networking and Internet Architecture · Computer Science 2016-11-15 Abolfazl Razi , Fatemeh Afghah , Ali Abedi

Mini-batch optimization has proven to be a powerful paradigm for large-scale learning. However, the state of the art parallel mini-batch algorithms assume synchronous operation or cyclic update orders. When worker nodes are heterogeneous…

Optimization and Control · Mathematics 2015-05-20 Hamid Reza Feyzmahdavian , Arda Aytekin , Mikael Johansson

High fidelity estimation algorithms for robotics require accurate data. However, timestamping of sensor data is a key issue that rarely receives the attention it deserves. Inaccurate timestamping can be compensated for in post-processing…

Robotics · Computer Science 2025-07-09 Morten Nissov , Nikhil Khedekar , Kostas Alexis

We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated…

Systems and Control · Computer Science 2014-12-30 Chenda Liao , Prabir Barooah

This paper establishes a fundamental theory of secure clock synchronization. Accurate clock synchronization is the backbone of systems managing power distribution, financial transactions, telecommunication operations, database services,…

Cryptography and Security · Computer Science 2018-05-15 Lakshay Narula , Todd Humphreys

The paper addresses the problem of time offset synchronization in the presence of temperature variations, which lead to a non-Gaussian environment. In this context, regular Kalman filtering reveals to be suboptimal. A functional…

Networking and Internet Architecture · Computer Science 2022-12-15 Maurizio Mongelli , Stefano Scanzio

Biased stochastic estimators, such as finite-differences for noisy gradient estimation, often contain parameters that need to be properly chosen to balance impacts from the bias and the variance. While the optimal order of these parameters…

Methodology · Statistics 2019-02-14 Henry Lam , Xinyu Zhang , Xuhui Zhang

Clock skew compensation is essential for accurate time synchronization in wireless networks. However, contemporary clock skew estimation is based on inaccurate transmission time measurement, which makes credible estimation challenging.…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Fanrong Shi , Huailiang Li , Simon X. Yang , Xianguo Tuo , Maosong Lin

The aim of this article is to overview the problem of mean square optimal estimation of linear functionals which depend on unknown values of periodically correlated stochastic process. Estimates are based on observations of this process and…

Statistics Theory · Mathematics 2025-11-24 Iryna Dubovets'ka , Mykhailo Moklyachuk

In TSCH, which is a MAC mechanism set of the IEEE 802.15.4e amendment, calculation, construction, and maintenance of the packet transmission schedules are not defined. Moreover, to ensure optimal throughput, most of the existing scheduling…

Networking and Internet Architecture · Computer Science 2019-09-17 Nastooh Taheri Javan , Masoud Sabaei , Vesal Hakami