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We present a novel algorithm, an adaptive-lag smoother, approximating efficiently, in an online fashion, sequences of expectations under the marginal smoothing distributions in general state-space models. The algorithm evolves recursively a…

Computation · Statistics 2019-10-23 Johan Alenlöv , Jimmy Olsson

We present a novel sequential Monte Carlo approach to online smoothing of additive functionals in a very general class of path-space models. Hitherto, the solutions proposed in the literature suffer from either long-term numerical…

Computation · Statistics 2022-10-24 Alessandro Mastrototaro , Jimmy Olsson , Johan Alenlöv

Particle smoothers are widely used algorithms allowing to approximate the smoothing distribution in hidden Markov models. Existing algorithms often suffer from slow computational time or degeneracy. We propose in this paper a way to improve…

Methodology · Statistics 2011-07-28 Cyrille Dubarry , Randal Douc

This paper presents a novel algorithm, the particle-based, rapid incremental smoother (PaRIS), for efficient online approximation of smoothed expectations of additive state functionals in general hidden Markov models. The algorithm, which…

Computation · Statistics 2014-12-25 Jimmy Olsson , Johan Westerborn

For challenging state estimation problems arising in domains like vision and robotics, particle-based representations attractively enable temporal reasoning about multiple posterior modes. Particle smoothers offer the potential for more…

Machine Learning · Computer Science 2025-02-18 Ali Younis , Erik B. Sudderth

The growing success of graph signal processing (GSP) approaches relies heavily on prior identification of a graph over which network data admit certain regularity. However, adaptation to increasingly dynamic environments as well as demands…

Machine Learning · Computer Science 2021-03-08 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Particle learning (PL) provides state filtering, sequential parameter learning and smoothing in a general class of state space models. Our approach extends existing particle methods by incorporating the estimation of static parameters via a…

Methodology · Statistics 2010-11-05 Carlos M. Carvalho , Michael S. Johannes , Hedibert F. Lopes , Nicholas G. Polson

This work introduces progressive spatio-temporal filtering, an efficient method to build all-frequency approximations to the light transport distribution into a scene by filtering individual samples produced by an underlying path sampler,…

Graphics · Computer Science 2020-05-26 Jacopo Pantaleoni

Particle smoothing methods are used for inference of stochastic processes based on noisy observations. Typically, the estimation of the marginal posterior distribution given all observations is cumbersome and computational intensive. In…

Machine Learning · Computer Science 2017-05-24 H. -Ch. Ruiz , H. J. Kappen

This paper provides a novel approach to stitching surface images of rotationally symmetric parts. It presents a process pipeline that uses a feature-based stitching approach to create a distortion-free and true-to-life image from a video…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Tobias Schlagenhauf , Tim Brander , Juergen Fleischer

In the context of state-space models, skeleton-based smoothing algorithms rely on a backward sampling step which by default has a $\mathcal O(N^2)$ complexity (where $N$ is the number of particles). Existing improvements in the literature…

Computation · Statistics 2023-03-08 Hai-Dang Dau , Nicolas Chopin

A prevalent problem in general state-space models is the approximation of the smoothing distribution of a state, or a sequence of states, conditional on the observations from the past, the present, and the future. The aim of this paper is…

Statistics Theory · Mathematics 2009-04-03 Randal Douc , Aurelien Garivier , Eric Moulines , Jimmy Olsson

We introduce a methodology for online estimation of smoothing expectations for a class of additive functionals, in the context of a rich family of diffusion processes (that may include jumps) -- observed at discrete-time instances. We…

Computation · Statistics 2022-07-04 Shouto Yonekura , Alexandros Beskos

Learning dynamical systems from sparse observations is critical in numerous fields, including biology, finance, and physics. Even if tackling such problems is standard in general information fusion, it remains challenging for contemporary…

Machine Learning · Computer Science 2024-06-04 Ella Tamir , Arno Solin

We investigate online network topology identification from smooth nodal observations acquired in a streaming fashion. Different from non-adaptive batch solutions, our distinctive goal is to track the (possibly) dynamic adjacency matrix with…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Seyed Saman Saboksayr , Gonzalo Mateos

Smoothing is essential to many oceanographic, meteorological and hydrological applications. The interval smoothing problem updates all desired states within a time interval using all available observations. The fixed-lag smoothing problem…

Chaotic Dynamics · Physics 2015-06-26 S. Ravela , D. McLaughlin

This paper argues that randomized linear sketching is a natural tool for on-the-fly compression of data matrices that arise from large-scale scientific simulations and data collection. The technical contribution consists in a new algorithm…

Numerical Analysis · Computer Science 2019-02-26 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

When classical particle filtering algorithms are used for maximum likelihood parameter estimation in nonlinear state-space models, a key challenge is that estimates of the likelihood function and its derivatives are inherently noisy. The…

Computation · Statistics 2017-11-30 Andreas Svensson , Fredrik Lindsten , Thomas B. Schön

Online map matching is a fundamental problem in location-based services, aiming to incrementally match trajectory data step-by-step onto a road network. However, existing methods fail to meet the needs for efficiency, robustness, and…

Machine Learning · Computer Science 2025-03-21 Minxiao Chen , Haitao Yuan , Nan Jiang , Zhihan Zheng , Sai Wu , Ao Zhou , Shangguang Wang

To estimate the smoothing distribution in a nonlinear state space model, we apply the conditional particle filter with ancestor sampling. This gives an iterative algorithm in a Markov chain Monte Carlo fashion, with asymptotic convergence…

Computation · Statistics 2015-09-17 Andreas Svensson , Thomas B. Schön , Manon Kok
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