uniform_manifold#

Uniform tangent + manifold layer (the uniform-fix 1.0 centerpiece, increment 3b).

Mirrors the ragged t3toolbox.manifold on the uniform (stacked-supercore + boolean-mask) representation. Holds:

  • UT3Tangent – the structural bundle (UT3Frame, UT3Variations) (the K/C stack inferred from the pair), the vector-space ops, the raw coordinate inner/norm, the (delegating) validity checkers, the constructors, reverse, the doubled-rank to_ut3/to_dense, gauge_residual / is_gauged, the cross-layer converters, and the stack/unstack tree conversions;

  • UniformManifoldGeometry / UniformCorewiseGeometry (3b-5) – the stateless geometry bundles (frame / randn / project / inner / norm / retract …) mirroring the ragged MANIFOLD / COREWISE, behind the per-element safe-mode preconditions, with the module singletons UNIFORM_MANIFOLD / UNIFORM_COREWISE.

Deferred to later 3b slices: probe / apply / entries (+ derivatives) and the WKC contractions (3b-6).

Attributes#

UNIFORM_MANIFOLD

UNIFORM_COREWISE

Classes#

UT3Tangent

Tangent vector to the uniform manifold of fixed-rank Tucker tensor trains (uniform analog of

UniformManifoldGeometry

The Riemannian geometry of the uniform fixed-rank Tucker tensor train manifold (uniform mirror of

UniformCorewiseGeometry

The Euclidean geometry of the uniform core parameter space (uniform mirror of

Module Contents#

UNIFORM_MANIFOLD#
UNIFORM_COREWISE#