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Parameters of the network together with output prediction of the uncorrupted data component are estimated by an estimation method based on the mixture of Gaussian distributions.
It uses information from the experimental design and subject kinematics to focus the artifact attenuation in time and space and minimize the loss of uncorrupted data.
We say that an algorithm is resilient to memory faults if, despite the corruption of some memory values before or during its execution, it is nevertheless able to get a correct output at least on the set of uncorrupted values (i.e., the algorithm works correctly on uncorrupted data).
If any one of the channels is free of noise, the performance is comparable to the performance on the uncorrupted data.
Fig. 8 Approximation quality of dictionaries with low-rank components of various sizes on Barbara, DCT144 as well as BPFA, (w KSVD and ITKrM M) learned on uncorrupted data (left) and on 50% corrupted data (right).
The next observation is that ITKrMM and wKSVD are consistent, in the sense that most of the atoms learned on corrupted data have a corresponding atom in the dictionary learned on uncorrupted data.
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One component of the mixture describes uncorrupted process data, while the others describe various types of outliers.
Consistency: Figures 5 and 6 show the dictionaries and if applicable low-rank components for L=1 learned by ITKrM M), (w KSVD and BPFA with SVD initialisation from uncorrupted and corrupted data.
We see that both on uncorrupted and corrupted data, ITKrMM is about 11 times faster than wKSVD, i.e. wKSVD takes about 3.5 h, while ITKrMM takes only about 18 min to learn a dictionary.
This is not true for BPFA, where the dictionaries learned from uncorrupted and corrupted data are markedly different, the latter containing many copies of the constant atom or slight variations thereof.
A motion-free composite image can be constructed by stitching together uncorrupted image segments from each data set.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com