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Penuras Kalman spatial×Penapis Zarah (Monte Carlo Sekuen)×
BidangBayesianBayesian
KeluargaBayesian methodsBayesian methods
Tahun asal1960 (base); spatial extensions 1990s–2000s1993
PengasasR. E. Kalman (base filter, 1960); extended to spatial settings by Cressie, Wikle and colleaguesGordon, Salmond & Smith
JenisBayesian state-space modelSequential Monte Carlo estimator
Sumber perintisCressie, N. & Wikle, C. K. (2011). Statistics for Spatio-Temporal Data. Wiley. ISBN: 978-0-471-69274-4Gordon, N. J., Salmond, D. J., & Smith, A. F. M. (1993). Novel approach to nonlinear/non-Gaussian Bayesian state estimation. IEE Proceedings F (Radar and Signal Processing), 140(2), 107–113. DOI ↗
Aliasspatial state-space filter, spatio-temporal Kalman filter, SKF, spatial dynamic linear modelSMC, sequential Monte Carlo, bootstrap filter, condensation algorithm
Berkaitan64
RingkasanThe spatial Kalman filter applies classical Kalman filtering to spatio-temporal state-space models, treating a spatially distributed latent field as the hidden state that evolves over time. At each time step, the filter recursively predicts the spatial field forward and then updates the prediction with new spatial observations, producing optimal linear estimates of the field and its uncertainty across all locations.The particle filter, introduced by Gordon, Salmond, and Smith in 1993, is a sequential Monte Carlo algorithm that approximates the Bayesian filtering distribution for nonlinear and non-Gaussian state-space models. Rather than tracking a single best estimate, it maintains a cloud of N weighted random samples — particles — that collectively represent the full posterior distribution of a hidden state at each point in time as new observations arrive.
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ScholarGateBandingkan kaedah: Spatial Kalman Filter · Particle Filter. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare