The conditional full Procrustes mean of a planar curve is the leading eigenfunction of the conditional covariance, and a deep per-modality covariance smoother estimates it under elastic alignment.
Journal of the Royal Statistical Society Series B: Sta- tistical Methodology84(5), 1785–1820 (2022)
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Deep Shape Regression for Planar Curves with Multimodal Covariates
The conditional full Procrustes mean of a planar curve is the leading eigenfunction of the conditional covariance, and a deep per-modality covariance smoother estimates it under elastic alignment.