2021
DOI: 10.1107/s1600576721009043
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Probabilistic parameter estimation using a Gaussian mixture density network: application to X-ray reflectivity data curve fitting

Abstract: X-ray reflectivity (XRR) is widely used for thin-film structure analysis, and XRR data analysis involves minimizing the difference between experimental data and an XRR curve calculated from model parameters describing the thin-film structure. This analysis takes a certain amount of time because it involves many unavoidable iterations. However, the recently introduced artificial neural network (ANN) method can dramatically reduce the analysis time in the case of repeated analyses of similar samples. Here, the a… Show more

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Cited by 7 publications
(4 citation statements)
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“…In order to confirm the effect of Gd and uncover the additive roles of the proximity-induced magnetic moments with two different origins, we investigate the interfacial structural and magnetic properties of the Pt layer using x-ray reflectivity (XRR) and XRMR. First, XRR is used to determine the structural depth profile 36 38 . XRR data are quantitatively analyzed by fitting it with multiple parameters such as the film thickness, density, and interfacial roughness (Fig.…”
Section: Resultsmentioning
confidence: 99%
“…In order to confirm the effect of Gd and uncover the additive roles of the proximity-induced magnetic moments with two different origins, we investigate the interfacial structural and magnetic properties of the Pt layer using x-ray reflectivity (XRR) and XRMR. First, XRR is used to determine the structural depth profile 36 38 . XRR data are quantitatively analyzed by fitting it with multiple parameters such as the film thickness, density, and interfacial roughness (Fig.…”
Section: Resultsmentioning
confidence: 99%
“…This is addressed in existing implementations, e.g. by restricted parameter ranges (Doucet et al, 2021;Mironov et al, 2021;Greco et al, 2021), a focus on identification of different families of SLD profiles based on symmetry (Carmona Loaiza & Raza, 2021), employing mixture density models (Kim & Lee, 2021), using variational autoencoders (Andrejevic et al, 2022) or neural operators (Munteanu et al, 2023) and convolutional neural networks (Aoki et al, 2021). The approach chosen for this work distinguishes itself from previous implementations by allowing or accommodating prior knowledge (e.g.…”
Section: Methodsmentioning
confidence: 99%
“…Evaluation of the impact of the bias and class imbalance problems on the possible favorable impact per each group was done using the IBM AI Fairness 360 Toolkit [37]. The toolkit can help to examine, report, and mitigate discrimination and bias in machine learning systems, supporting the entire application lifecycle.…”
Section: Class Imbalance and Bias Evaluationmentioning
confidence: 99%