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The expectation-maximization (EM) algorithm is a powerful computational technique for finding the maximum likelihood estimates for parametric models when the data are not fully observed. The EM is best suited for situations where the…

Computation · Statistics 2018-05-14 Chanseok Park

In this paper, selection of an active sensor subset for tracking a discrete time, finite state Markov chain having an unknown transition probability matrix (TPM) is considered. A total of N sensors are available for making observations of…

Machine Learning · Computer Science 2020-11-02 Mrigank Raman , Ojal Kumar , Arpan Chattopadhyay

In this paper, we aim to design an optimal sampler for a system in which fresh samples of a signal (source) are sent through an unreliable channel to a remote estimator, and acknowledgments are sent back over a feedback channel. Both the…

Information Theory · Computer Science 2022-03-21 Jiayu Pan , Ahmed M. Bedewy , Yin Sun , Ness B. Shroff

Assuming that a threshold Ornstein-Uhlenbeck process is observed at discrete time instants, we propose generalized moment estimators to estimate the parameters. Our theoretical basis is the celebrated ergodic theorem. To use this theorem we…

Statistics Theory · Mathematics 2020-11-24 Yaozhong Hu , Yuejuan Xi

Mimicking and learning the long-term memory of efficient markets is a fundamental problem in the interaction between machine learning and financial economics to sequential data. Despite the prominence of this issue, current treatments…

Machine Learning · Statistics 2021-11-12 Shao-Qun Zhang , Zhi-Hua Zhou

We consider the uplink of a Massive MIMO network with $L$ cells, each comprising a BS with $M$ antennas and $K$ single-antenna user equipments. Recently, [1] studied the asymptotic spectral efficiency of such networks with optimal multicell…

Information Theory · Computer Science 2019-06-26 Luca Sanguinetti , Emil Björnson , Abla Kammoun

We introduce the notion of the mixed state projected ensemble (MSPE), a collection of mixed states describing a local region of a quantum many-body system, conditioned upon measurements of the complementary region which are incomplete. This…

Quantum Physics · Physics 2025-12-30 Xie-Hang Yu , Wen Wei Ho , Pavel Kos

Compressed sensing is a signal processing technique in which data is acquired directly in a compressed form. There are two modeling approaches that can be considered: the worst-case (Hamming) approach and a statistical mechanism, in which…

Information Theory · Computer Science 2016-01-20 Wasim Huleihel , Neri Merhav

We consider large-scale linear inverse problems in Bayesian settings. We follow a recent line of work that applies the approximate message passing (AMP) framework to multi-processor (MP) computational systems, where each processor node…

Information Theory · Computer Science 2016-11-09 Junan Zhu , Dror Baron , Ahmad Beirami

This paper investigates the optimization of memory sampling in status updating systems, where source updates are published in shared memory, and reader process samples the memory for source updates by paying a sampling cost. We formulate a…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Vishakha Ramani , Ivan Seskar , Roy D. Yates

A mean function in a reproducing kernel Hilbert space (RKHS), or a kernel mean, is central to kernel methods in that it is used by many classical algorithms such as kernel principal component analysis, and it also forms the core inference…

Machine Learning · Statistics 2016-02-26 Krikamol Muandet , Bharath Sriperumbudur , Kenji Fukumizu , Arthur Gretton , Bernhard Schölkopf

Consider a discrete-time remote estimation system formed by an encoder, a transmission policy, a channel, and a remote estimator. The encoder assesses a random process that the remote estimator seeks to estimate based on information sent to…

Systems and Control · Computer Science 2016-05-04 David Ward , Nuno C. Martins

Quantum dynamical simulations of statistical ensembles pose a significant computational challenge due to the fact that mixed states need to be represented. If the underlying dynamics is fully unitary, for example in ultrafast coherent…

Quantum Physics · Physics 2019-11-07 Marec W. Heger , Christiane P. Koch , Daniel M. Reich

In this paper, we consider the parameter estimation problem over sensor networks in the presence of quantized data and directed communication links. We propose a two-stage algorithm aiming at achieving the centralized sample mean estimate…

Systems and Control · Computer Science 2015-07-27 Shanying Zhu , Yeng Chai Soh , Lihua Xie

We propose a scalable divergence estimation method based on hashing. Consider two continuous random variables $X$ and $Y$ whose densities have bounded support. We consider a particular locality sensitive random hashing, and consider the…

Information Theory · Computer Science 2018-01-03 Morteza Noshad , Alfred O. Hero

The problem of communicating sensor measurements over shared networks is prevalent in many modern large-scale distributed systems such as cyber-physical systems, wireless sensor networks, and the internet of things. Due to bandwidth…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Marcos M. Vasconcelos

The emergence of the Internet-of-Things and cyber-physical systems necessitates the coordination of access to limited communication resources in an autonomous and distributed fashion. Herein, the optimal design of a wireless sensing system…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Xu Zhang , Marcos M. Vasconcelos , Wei Cui , Urbashi Mitra

Many tasks in robot-assisted surgeries (RAS) can be represented by finite-state machines (FSMs), where each state represents either an action (such as picking up a needle) or an observation (such as bleeding). A crucial step towards the…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Yidan Qin , Sahba Aghajani Pedram , Seyedshams Feyzabadi , Max Allan , A. Jonathan McLeod , Joel W. Burdick , Mahdi Azizian

In various practical situations, we encounter data from stochastic processes which can be efficiently modelled by an appropriate parametric model for subsequent statistical analyses. Unfortunately, the most common estimation and inference…

Methodology · Statistics 2022-04-12 Rohan Hore , Abhik Ghosh

In this article we consider the filtering problem associated to partially observed diffusions, with observations following a marked point process. In the model, the data form a point process with observation times that have its intensity…

Computation · Statistics 2023-11-17 Miguel Alvarez , Ajay Jasra , Hamza Ruzayqat
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