2021
DOI: 10.1063/5.0016792
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Predictability as a probe of manifest and latent physics: The case of atomic scale structural, chemical, and polarization behaviors in multiferroic Sm-doped BiFeO3

Abstract: Predictability of a certain effect or phenomenon is often equated with the knowledge of relevant physical laws, typically understood as a functional or numerically-derived relationship between the observations and known states of the system. Correspondingly, observations inconsistent with prior knowledge can be used to derive new knowledge on the nature of the system or indicate the presence of yet unknown mechanisms. Here we explore the applicability of Gaussian Processing (GP) to establish predictability and… Show more

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Cited by 8 publications
(9 citation statements)
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“…The uncertainty map clearly delineates regions for more detailed studies associated with “unusual” behaviors. Reprinted/adapted with permission from ref . Copyright 2021 AIP Publishing.…”
Section: General Considerationsmentioning
confidence: 99%
“…The uncertainty map clearly delineates regions for more detailed studies associated with “unusual” behaviors. Reprinted/adapted with permission from ref . Copyright 2021 AIP Publishing.…”
Section: General Considerationsmentioning
confidence: 99%
“…The error map for full data sets in Figure a is relatively structureless and does not show similarity to the original domain structure or the PCA loading maps, suggesting that the im2spec network captures the relationship between the domain structure and the local hysteresis behavior well on average. Note that the regions with strong deviations from the network prediction can be considered as locations where novel physical behaviors can emerge, as was proposed earlier …”
Section: Resultsmentioning
confidence: 97%
“…Note that the regions with strong deviations from the network prediction can be considered as locations where novel physical behaviors can emerge, as was proposed earlier. 69 The comparison of the predicted and ground truth hysteresis loops shown in Figure 4a−d. Here, the left column shows the chosen subimages representing easily recognizable elements of the domain structure, namely, the domain walls at different separation from the location at which the hysteresis loop is acquired (image center). The central column compares the predicted hysteresis loops to the experimentally measured ones.…”
Section: ■ Results and Discussionmentioning
confidence: 99%
“…As a static data set, presented in figure 1, we chose high-angle annular dark-field images of various materials which each contain different feature lengths. The dataset includes: NiO pillars in a La:SrMnO 3 (NiO-LSMO) matrix [49][50][51], sample of BiFeO 3 (BFO) [52][53][54] and Si-containing graphene [55,56]. Each of these images contain different information of interest, such as domain walls, defects, and dopants.…”
Section: Methodsmentioning
confidence: 99%
“…particle and grain boundary finding, determination of the ferroelectric domain walls, etc, allowing for generalization of this approach towards other (prior known) objects of interest. Furthermore, the training of the DCNNs is done for a specific target (type of lattice) and more details on the training of neural networks and their adaptation to new data can be found in works by Ghosh and Ziatdinov [52,57,58].…”
Section: Methodsmentioning
confidence: 99%