Physics constrained learning of stochastic characteristics

Fuente: arXiv
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Autori principali: Ala, Pardha Sai Krishna, Salvi, Ameya, Krovi, Venkat, Schmid, Matthias
Natura: Preprint
Pubblicazione: 2025
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author Ala, Pardha Sai Krishna
Salvi, Ameya
Krovi, Venkat
Schmid, Matthias
author_facet Ala, Pardha Sai Krishna
Salvi, Ameya
Krovi, Venkat
Schmid, Matthias
contents Accurate state estimation requires careful consideration of uncertainty surrounding the process and measurement models; these characteristics are usually not well-known and need an experienced designer to select the covariance matrices. An error in the selection of covariance matrices could impact the accuracy of the estimation algorithm and may sometimes cause the filter to diverge. Identifying noise characteristics has long been a challenging problem due to uncertainty surrounding noise sources and difficulties in systematic noise modeling. Most existing approaches try identifying unknown covariance matrices through an optimization algorithm involving innovation sequences. In recent years, learning approaches have been utilized to determine the stochastic characteristics of process and measurement models. We present a learning-based methodology with different loss functions to identify noise characteristics and test these approaches' performance for real-time vehicle state estimation
format Preprint
id arxiv_https___arxiv_org_abs_2507_12661
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Physics constrained learning of stochastic characteristics
Ala, Pardha Sai Krishna
Salvi, Ameya
Krovi, Venkat
Schmid, Matthias
Machine Learning
Systems and Control
Accurate state estimation requires careful consideration of uncertainty surrounding the process and measurement models; these characteristics are usually not well-known and need an experienced designer to select the covariance matrices. An error in the selection of covariance matrices could impact the accuracy of the estimation algorithm and may sometimes cause the filter to diverge. Identifying noise characteristics has long been a challenging problem due to uncertainty surrounding noise sources and difficulties in systematic noise modeling. Most existing approaches try identifying unknown covariance matrices through an optimization algorithm involving innovation sequences. In recent years, learning approaches have been utilized to determine the stochastic characteristics of process and measurement models. We present a learning-based methodology with different loss functions to identify noise characteristics and test these approaches' performance for real-time vehicle state estimation
title Physics constrained learning of stochastic characteristics
topic Machine Learning
Systems and Control
url https://arxiv.org/abs/2507.12661