2021 IEEE 24th International Conference on Information Fusion (FUSION) 2021
DOI: 10.23919/fusion49465.2021.9626975
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Deterministic Gaussian Sampling With Generalized Fibonacci Grids

Abstract: We propose a simple and efficient method to obtain unweighted deterministic samples of the multivariate Gaussian density. It allows to place a large number of homogeneously placed samples even in high-dimensional spaces. There is a demand for large high-quality sample sets in many nonlinear filters. The Smart Sampling Kalman Filter (S2KF), for example, uses many samples and is an extension of the Unscented Kalman Filter (UKF) that is limited due to its small sample set. Generalized Fibonacci grids have the pro… Show more

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Cited by 76 publications
(80 citation statements)
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“…In this work, all of the density functional theory (DFT) calculations were performed by Gaussian 09 11 software packages. The B3LYP 12 function together with 6-31G(d) 13 basis set (SDD 14 basis set for Pd) was used for the geometry optimization and frequency analysis.…”
Section: Methodsmentioning
confidence: 99%
“…In this work, all of the density functional theory (DFT) calculations were performed by Gaussian 09 11 software packages. The B3LYP 12 function together with 6-31G(d) 13 basis set (SDD 14 basis set for Pd) was used for the geometry optimization and frequency analysis.…”
Section: Methodsmentioning
confidence: 99%
“…Gas-phase molecule density functional theory (DFT) calculations were performed using the Gaussian 16 suite of programs at the ωB97XD/631-G­(d,p) level of theory on the representative oligomer comprising three repeat units oriented in a trans – cis – trans geometry to represent the polymer backbone.…”
Section: Methodsmentioning
confidence: 99%
“…The long-range-corrected functional ωB97XD is chosen for all quantum chemical calculations because it captures both short- and long-range interactions and describes charge transfer states accurately . All quantum chemistry calculations are performed using the Gaussian 16 package …”
Section: Methodsmentioning
confidence: 99%