Bayesian Calibration of MEMS Accelerometers
- URL: http://arxiv.org/abs/2306.06144v1
- Date: Fri, 9 Jun 2023 09:10:28 GMT
- Title: Bayesian Calibration of MEMS Accelerometers
- Authors: Oliver D\"urr, Po-Yu Fan, and Zong-Xian Yin
- Abstract summary: The parameters of error-correcting functions are determined during a calibration process.
Due to various sources of noise, these parameters cannot be determined with precision, making it desirable to incorporate uncertainty in the calibration models.
This study introduces Bayesian methods for the calibration of MEMS accelerometer data in a straightforward manner using recent advances in probabilistic programming.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: This study aims to investigate the utilization of Bayesian techniques for the
calibration of micro-electro-mechanical systems (MEMS) accelerometers. These
devices have garnered substantial interest in various practical applications
and typically require calibration through error-correcting functions. The
parameters of these error-correcting functions are determined during a
calibration process. However, due to various sources of noise, these parameters
cannot be determined with precision, making it desirable to incorporate
uncertainty in the calibration models. Bayesian modeling offers a natural and
complete way of reflecting uncertainty by treating the model parameters as
variables rather than fixed values. Additionally, Bayesian modeling enables the
incorporation of prior knowledge, making it an ideal choice for calibration.
Nevertheless, it is infrequently used in sensor calibration. This study
introduces Bayesian methods for the calibration of MEMS accelerometer data in a
straightforward manner using recent advances in probabilistic programming.
Related papers
- Towards Certification of Uncertainty Calibration under Adversarial Attacks [96.48317453951418]
We show that attacks can significantly harm calibration, and thus propose certified calibration as worst-case bounds on calibration under adversarial perturbations.
We propose novel calibration attacks and demonstrate how they can improve model calibration through textitadversarial calibration training
arXiv Detail & Related papers (2024-05-22T18:52:09Z) - Sequential Monte Carlo applied to virtual flow meter calibration [0.0]
In oil and gas production, virtual flow metering (VFM) is a popular soft-sensor that attempts to estimate multiphase flow rates in real time.
The calibration is highly dependent on the application, both due to the great diversity of the models, and in the available measurements.
This paper presents a calibration method based on the measurement provided by the production separator, and the assumption that the observed flow should be equal to the sum of flow rates from each individual well.
arXiv Detail & Related papers (2023-04-13T07:35:18Z) - Sharp Calibrated Gaussian Processes [58.94710279601622]
State-of-the-art approaches for designing calibrated models rely on inflating the Gaussian process posterior variance.
We present a calibration approach that generates predictive quantiles using a computation inspired by the vanilla Gaussian process posterior variance.
Our approach is shown to yield a calibrated model under reasonable assumptions.
arXiv Detail & Related papers (2023-02-23T12:17:36Z) - Variable-Based Calibration for Machine Learning Classifiers [11.9995808096481]
We introduce the notion of variable-based calibration to characterize calibration properties of a model.
We find that models with near-perfect expected calibration error can exhibit significant miscalibration as a function of features of the data.
arXiv Detail & Related papers (2022-09-30T00:49:31Z) - Inferring bias and uncertainty in camera calibration [2.11622808613962]
We introduce an evaluation scheme to capture the fundamental error sources in camera calibration.
The bias detection method uncovers smallest systematic errors and reveals imperfections of the calibration setup.
A novel re-sampling-based uncertainty estimator enables uncertainty estimation under non-ideal conditions.
We derive a simple uncertainty metric that is independent of the camera model.
arXiv Detail & Related papers (2021-07-28T16:49:39Z) - Parameterized Temperature Scaling for Boosting the Expressive Power in
Post-Hoc Uncertainty Calibration [57.568461777747515]
We introduce a novel calibration method, Parametrized Temperature Scaling (PTS)
We demonstrate that the performance of accuracy-preserving state-of-the-art post-hoc calibrators is limited by their intrinsic expressive power.
We show with extensive experiments that our novel accuracy-preserving approach consistently outperforms existing algorithms across a large number of model architectures, datasets and metrics.
arXiv Detail & Related papers (2021-02-24T10:18:30Z) - Localized Calibration: Metrics and Recalibration [133.07044916594361]
We propose a fine-grained calibration metric that spans the gap between fully global and fully individualized calibration.
We then introduce a localized recalibration method, LoRe, that improves the LCE better than existing recalibration methods.
arXiv Detail & Related papers (2021-02-22T07:22:12Z) - Uncertainty Quantification and Deep Ensembles [79.4957965474334]
We show that deep-ensembles do not necessarily lead to improved calibration properties.
We show that standard ensembling methods, when used in conjunction with modern techniques such as mixup regularization, can lead to less calibrated models.
This text examines the interplay between three of the most simple and commonly used approaches to leverage deep learning when data is scarce.
arXiv Detail & Related papers (2020-07-17T07:32:24Z) - Unsupervised Calibration under Covariate Shift [92.02278658443166]
We introduce the problem of calibration under domain shift and propose an importance sampling based approach to address it.
We evaluate and discuss the efficacy of our method on both real-world datasets and synthetic datasets.
arXiv Detail & Related papers (2020-06-29T21:50:07Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.