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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

Filtering in spatially-extended dynamical systems is a challenging problem with significant practical applications such as numerical weather prediction. Particle filters allow asymptotically consistent inference but require infeasibly large…

Computation · Statistics 2019-06-04 Matthew M. Graham , Alexandre H. Thiery

Quantum parameter estimation plays a key role in many fields like quantum computation, communication and metrology. Optimal estimation allows one to achieve the most precise parameter estimates, but requires accurate knowledge of the model.…

Quantum Physics · Physics 2017-05-15 Shibdas Roy , Dominic W. Berry , Ian R. Petersen , Elanor H. Huntington

We introduce and analyze a parallel sequential Monte Carlo methodology for the numerical solution of optimization problems that involve the minimization of a cost function that consists of the sum of many individual components. The proposed…

Computation · Statistics 2022-01-04 Ömer Deniz Akyildiz , Dan Crisan , Joaquín Míguez

We are concerned with three types of uncertainties: probabilistic, possibilitistic and interval. By using possibility and necessity measures as an Interval Valued Probability Measure (IVPM), we present IVPM's interval expected values whose…

Optimization and Control · Mathematics 2008-01-25 Phantipa Thipwiwatpotjana , Weldon A. Lodwick

We introduce a probabilistic approach to the LMS filter. By means of an efficient approximation, this approach provides an adaptable step-size LMS algorithm together with a measure of uncertainty about the estimation. In addition, the…

Machine Learning · Statistics 2016-04-11 Jesus Fernandez-Bes , Víctor Elvira , Steven Van Vaerenbergh

We consider the problem of randomly choosing the sensors of a linear time-invariant dynamical system subject to process and measurement noise. We sample the sensors independently and from the same distribution. We measure the performance of…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Christopher I. Calle , Shaunak D. Bopardikar

Filter pruning has drawn more attention since resource constrained platform requires more compact model for deployment. However, current pruning methods suffer either from the inferior performance of one-shot methods, or the expensive time…

Computer Vision and Pattern Recognition · Computer Science 2020-10-15 Dong Li , Sitong Chen , Xudong Liu , Yunda Sun , Li Zhang

In this paper, we study a non-linear filtering problem in the presence of signal model uncertainty. The model ambiguity is characterized by a class of probability measures from which the true one is taken. After interchanging the order of…

Optimization and Control · Mathematics 2023-08-23 Jiaqi Zhang , Jie Xiong

Maximizing the precision in estimating parameters in a quantum system subject to instrumentation constraints is cast as a convex optimization problem. We account for prior knowledge about the parameter range by developing a worst-case and…

Quantum Physics · Physics 2008-04-01 Robert L. Kosut

We propose solution of the problem of the mean square optimal estimation of linear functionals which depend on the unobserved values of a continuous time stochastic process with periodically correlated increments based on observations of…

Statistics Theory · Mathematics 2024-01-18 Maksym Luz , Mikhail Moklyachuk

There is much interest in using partially observable Markov decision processes (POMDPs) as a formal model for planning in stochastic domains. This paper is concerned with finding optimal policies for POMDPs. We propose several improvements…

Artificial Intelligence · Computer Science 2013-02-01 Nevin Lianwen Zhang , Stephen S. Lee

In this paper, we focus on the solution of online optimization problems that arise often in signal processing and machine learning, in which we have access to streaming sources of data. We discuss algorithms for online optimization based on…

Optimization and Control · Mathematics 2023-05-05 Nicola Bastianello , Ruggero Carli , Andrea Simonetto

Particle filters have, in recent years, been found to perform well in highly nonlinear problems as well as in estimation of parameters. However, there is still the problem of particle degeneracy in particle filters which has led to the…

Optimization and Control · Mathematics 2022-11-08 David Angwenyi

Simultaneous state and parameter estimation arises from various applicational areas but presents a major computational challenge. Most available Markov chain or sequential Monte Carlo techniques are applicable to relatively low dimensional…

Numerical Analysis · Mathematics 2017-09-28 Angwenyi David , Jana de Wiljes , Sebastian Reich

Appropriately designing the proposal kernel of particle filters is an issue of significant importance, since a bad choice may lead to deterioration of the particle sample and, consequently, waste of computational power. In this paper we…

Methodology · Statistics 2012-10-12 J. Cornebise , E. Moulines , J. Olsson

We study three two-stage optimization problems with a similar structure and different objectives. In the first stage of each problem, the goal is to assign input jobs of positive sizes to unsplittable bags. After this assignment is decided,…

Data Structures and Algorithms · Computer Science 2024-09-17 Leah Epstein , Asaf Levin

Networked systems usually face different random uncertainties that make the performance of the least-squares (LS) linear filter decline significantly. For this reason, great attention has been paid to the search for other kinds of…

Systems and Control · Electrical Eng. & Systems 2024-08-26 Raquel Caballero-Águila , Josefa Linares-Pérez

Annealed importance sampling (AIS) is a common algorithm to estimate partition functions of useful stochastic models. One important problem for obtaining accurate AIS estimates is the selection of an annealing schedule. Conventionally, an…

Machine Learning · Statistics 2015-03-30 Taichi Kiwaki

In this paper we propose a general framework to characterize and solve the stochastic optimization problems with multiple objectives underlying many real world learning applications. We first propose a projection based algorithm which…

Machine Learning · Computer Science 2013-07-16 Mehrdad Mahdavi , Tianbao Yang , Rong Jin