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In the HERF algorithm, training of each individual classifier involves two steps: first computing a randomized data rotation transformation of the training data, second, training the individual classifier on the rotated data.
Besides, we find some other results such as that the data rotation with Quartimax improves over PCA, and the relative insensitivity of the approach to regularization which may be attributable to the de facto regularization performed by the ensemble approach.
Here, within-class covariance normalization (WCCN) is set to accomplish this task by penalizing axes which have high intra-class variance by making data rotation using decomposition of the inverse of the WCC matrix.
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We also registered real patient data having rotation and translation motion.
We set the patch size as 45 × 45 and use data augmentation (rotation or flip) to prepare training data.
Fig. 14 Analysis of the ratios between the Love- to Rayleigh-wave energies using dense array analysis data and rotation sensor data for the two Kefalonia sites (soft-soil, phase 1, left column; rock, phase 2, right column). a Proportion of surface-wave energy with respect to total ground motion energy from dense array analysis (Imtiaz 2015; Imtiaz et al. 2017).
Data from rotation one and two were treated separately.
Column 1 of the data shows rotation at 90° of knee flexion for observer 1 at time 1.
Special focus in this paper goes to merging of heterogeneous data (displacements, rotations, and accelerations) obtained from different measurement systems.
All operations that leave pixels intact do not change the measured data, e.g., rotations in 90° steps, mirrorings, and cropping (removing areas from the images that do not contain information of interest).
In many applications involving 3-D rotation data, the rotational distributions used are symmetric (or isotropic) so that they have rotationally invariant densities about a central rotation.
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