Multiscale manifold alignment (Wang-Mahadevan style) — multiscale_manifold

Experimental multiset manifold alignment with a QR-free spectral hierarchy. The implementation builds a joint graph Laplacian, compresses each domain with truncated SVD, forms a reduced operator, and extracts nested multiscale bases from its spectrum.

Usage

multiscale_manifold_align(data, ...)

# S3 method for class 'hyperdesign'
multiscale_manifold_align(
  data,
  y = NULL,
  correspondences = NULL,
  preproc = multivarious::center(),
  ncomp = 20L,
  control = multiscale_manifold_align_control(),
  verbose = TRUE,
  ...
)

# S3 method for class 'list'
multiscale_manifold_align(
  data,
  y = NULL,
  correspondences = NULL,
  preproc = multivarious::center(),
  ncomp = 20L,
  control = multiscale_manifold_align_control(),
  verbose = TRUE,
  ...
)

# Default S3 method
multiscale_manifold_align(data, ...)

Arguments

data: A `hyperdesign` object or list of matrices.
...: Additional arguments passed to methods.
y: Optional unquoted label column used to build cross-domain correspondences.
correspondences: Optional data.frame with columns domain_i,index_i,domain_j,index_j[,weight].
preproc: Optional preprocessing function/preprocessor applied per domain.
ncomp: Number of target embedding components.
control: Control settings from [multiscale_manifold_align_control()].
verbose: Logical progress toggle.

Value

A `multiblock_biprojector`-compatible object with subclass `multiscale_manifold_align`.