OT + Procrustes aligner adapter for align_many()

Provides a pairwise interface implementing the orthogonal-invariant OT objective of Alvarez-Melis et al. (AISTATS 2019), specialized to learning an orthogonal map between feature spaces. Construct an OT-Procrustes aligner descriptor

Usage

ot_procrustes_aligner()

Value

An object of class `c("ot_procrustes_aligner", "aligner")`.

Details

This aligner estimates an orthogonal transform between two domains by alternating between an entropic OT coupling (Sinkhorn) and a Procrustes update (SVD) under the current coupling. It is intended as a lightweight, initialization-robust alternative to adversarial alignment for feature spaces that are identifiable only up to global orthogonal transforms.

Examples

algo <- ot_procrustes_aligner()
aligner_capabilities(algo)
#> $group
#> [1] "O"
#> 
#> $supports_multi
#> [1] FALSE
#>