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In this manuscript a method for developing novel filtering algorithms through the parallel concatenation of two Bayesian filters is illustrated. Our description of this method, called turbo filtering, is based on a new graphical model; this…

统计计算 · 统计学 2018-06-14 Giorgio M. Vitetta , Pasquale Di Viesti , Emilio Sirignano , Francesco Montorsi

Recently, a novel method for developing filtering algorithms, based on the interconnection of two Bayesian filters and called double Bayesian filtering, has been proposed. In this manuscript we show that the same conceptual approach can be…

统计理论 · 数学 2019-10-23 Pasquale Di Viesti , Giorgio M. Vitetta , Emilio Sirignano

This paper presents algorithms for temporal parallelization of Bayesian smoothers. We define the elements and the operators to pose these problems as the solutions to all-prefix-sums operations for which efficient parallel scan-algorithms…

统计计算 · 统计学 2020-02-21 Simo Särkkä , Ángel F. García-Fernández

We present a general probabilistic perspective on Gaussian filtering and smoothing. This allows us to show that common approaches to Gaussian filtering/smoothing can be distinguished solely by their methods of computing/approximating the…

统计方法学 · 统计学 2011-06-09 Marc Peter Deisenroth , Henrik Ohlsson

Using a perturbation technique, we derive a new approximate filtering and smoothing methodology generalizing along different directions several existing approaches to robust filtering based on the score and the Hessian matrix of the…

统计方法学 · 统计学 2023-06-06 Giuseppe Buccheri , Giacomo Bormetti , Fulvio Corsi , Fabrizio Lillo

Smoothing algorithms for state-space models, i.e., fixed-interval smoothing, fixed-lag smoothing, and two-filter formula for smoothing, are examined using real examples. For linear and Gaussian state-space models, it is observed that…

统计计算 · 统计学 2023-07-10 G. Kitagawa

We propose a principled algorithm for robust Bayesian filtering and smoothing in nonlinear stochastic dynamic systems when both the transition function and the measurement function are described by non-parametric Gaussian process (GP)…

系统与控制 · 计算机科学 2012-08-13 Marc Peter Deisenroth , Ryan Turner , Marco F. Huber , Uwe D. Hanebeck , Carl Edward Rasmussen

A Bayesian filtering algorithm is developed for a class of state-space systems that can be modelled via Gaussian mixtures. In general, the exact solution to this filtering problem involves an exponential growth in the number of mixture…

机器学习 · 统计学 2023-07-03 Adrian G. Wills , Johannes Hendriks , Christopher Renton , Brett Ninness

The problem of Bayesian filtering and smoothing in nonlinear models with additive noise is an active area of research. Classical Taylor series as well as more recent sigma-point based methods are two well-known strategies to deal with these…

分布式、并行与集群计算 · 计算机科学 2021-02-02 Fatemeh Yaghoobi , Adrien Corenflos , Sakira Hassan , Simo Särkkä

We propose two new Bayesian smoothing methods for general state-space models with unknown parameters. The first approach is based on the particle learning and smoothing algorithm, but with an adjustment in the backward resampling weights.…

统计计算 · 统计学 2016-04-20 Biao Yang , Jonathan R. Stroud , Gabriel Huerta

Smoothing filter is the method of choice for image preprocessing and pattern recognition. We present a new concurrent method for smoothing 2D object in binary case. Proposed method provides a parallel computation while preserving the…

分布式、并行与集群计算 · 计算机科学 2016-04-01 Ramzi Mahmoudi , Mohamed Akil

Particle smoothing enables state estimation in nonlinear and non-Gaussian state-space models, but its practical use is often limited by high computational cost. Backward smoothing methods such as the Forward Filter Backward Smoother (FFBS)…

统计方法学 · 统计学 2026-02-17 Genshiro Kitagawa

This paper presents a method for calculating the smoothed state distribution for Jump Markov Linear Systems. More specifically, the paper details a novel two-filter smoother that provides closed-form expressions for the smoothed hybrid…

统计方法学 · 统计学 2020-04-21 Mark P. Balenzuela , Adrian G. Wills , Christopher Renton , Brett Ninness

A technique for accelerating global convergence of pseudo-transient continuation Newton methods is proposed based on residual smoothing. The technique is motivated by the effectiveness of local nonlinear smoothers at overcoming strong…

数值分析 · 数学 2018-05-11 Dimitri Mavriplis

A new algorithm for solving large-scale convex optimization problems with a separable objective function is proposed. The basic idea is to combine three techniques: Lagrangian dual decomposition, excessive gap and smoothing. The main…

最优化与控制 · 数学 2011-12-01 Tran Dinh Quoc , Carlo Savorgnan , Moritz Diehl

Many industrial and engineering processes monitored as times series have smooth trends that indicate normal behavior and occasionally anomalous patterns that can indicate a problem. This kind of behavior can be modeled by a smooth trend,…

统计方法学 · 统计学 2024-08-07 Matthew Hofkes , Douglas Nychka , Tzahi Cath , Amanda Hering , Craig McGonagill

Stochastic approximation Monte Carlo (SAMC) has recently been proposed by Liang, Liu and Carroll [J. Amer. Statist. Assoc. 102 (2007) 305--320] as a general simulation and optimization algorithm. In this paper, we propose to improve its…

统计理论 · 数学 2009-08-26 Faming Liang

Recursive Bayesian filters have been widely deployed in structural system identification where output-only filters are of higher practicality. Unfortunately, the estimation obtained by instantaneous system inversion via filters can be…

应用统计 · 统计学 2024-07-30 Zihao Liu , Mohsen Ebrahimzadeh Hassanabadi , Daniel Dias-da-Costa

Suppose X is a multivariate diffusion process that is observed discretely in time. At each observation time, a transformation of the state of the process is observed with noise. The smoothing problem consists of recovering the path of the…

统计计算 · 统计学 2024-09-04 Marcin Mider , Moritz Schauer , Frank van der Meulen

We design and analyse variations of the classical Thompson sampling (TS) procedure for Bayesian optimisation (BO) in settings where function evaluations are expensive, but can be performed in parallel. Our theoretical analysis shows that a…

机器学习 · 统计学 2017-05-26 Kirthevasan Kandasamy , Akshay Krishnamurthy , Jeff Schneider , Barnabas Poczos
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