2021
DOI: 10.3390/rs13245061
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An Overview of Neural Network Methods for Predicting Uncertainty in Atmospheric Remote Sensing

Abstract: In this paper, we present neural network methods for predicting uncertainty in atmospheric remote sensing. These include methods for solving the direct and the inverse problem in a Bayesian framework. In the first case, a method based on a neural network for simulating the radiative transfer model and a Bayesian approach for solving the inverse problem is proposed. In the second case, (i) a neural network, in which the output is the convolution of the output for a noise-free input with the input noise distribu… Show more

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Cited by 2 publications
(3 citation statements)
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“…Note that (i) E([∆ x − E(∆ x )] 2 ) reproduces the square root of the diagonal elements of the so-called epistemic covariance matrix of all network errors over the prediction set, and (ii) the epistemic uncertainties are large if there are large variations around the mean, e.g., if E j ([x pred − E j (x pred )] 2 ) are large. Also note that non-optimal hyper-and training parameters, as well as, a non-optimal optimization algorithm are the main sources of epistemic or model uncertainty [61]. The following conclusions can be drawn.…”
Section: A Synthetic Retrievalmentioning
confidence: 79%
See 1 more Smart Citation
“…Note that (i) E([∆ x − E(∆ x )] 2 ) reproduces the square root of the diagonal elements of the so-called epistemic covariance matrix of all network errors over the prediction set, and (ii) the epistemic uncertainties are large if there are large variations around the mean, e.g., if E j ([x pred − E j (x pred )] 2 ) are large. Also note that non-optimal hyper-and training parameters, as well as, a non-optimal optimization algorithm are the main sources of epistemic or model uncertainty [61]. The following conclusions can be drawn.…”
Section: A Synthetic Retrievalmentioning
confidence: 79%
“…The design and refinement of neural networks for atmospheric retrieval is a very complicated research field that requires more developments that consist of 1) application of the inverse-operator neural networks to the remaining aerosol models considered in the MODIS algorithm, i.e., non-absorbing, absorbing, and desert dust (the selection of an appropriate aerosol model is then based on a combination of spectral and geographic information); 2) training the neural networks to learn the relative evidences of different aerosol models, so that, a mean solution estimate, representing a linear combination of candidate solutions weighted by their evidences, can be computed [62]; 3) redesign of the neural networks in a Bayesian deep learning framework in order to predict input aleatoric and model uncertainties [61].…”
Section: B Retrieval From Real Datamentioning
confidence: 99%
“…However, the mainstream of natural image SR methods is 2D CNN, which can lead to severe spectral distortion when applied to multi-band HSIs. Recently, some methods have emerged that combine hand-craft priors and neural networks and introduce mathematical modeling considering the properties of HSI, such as [15][16][17].…”
Section: Introductionmentioning
confidence: 99%