omnibias.fields.locus
Structured scalar, vector, and tensor fields with derivative caches, calculus operators, and coordinate conventions.
import omnibias.fields.locusModule contract & mathematical conventions
Equality-locus field ops (theory 01-09, gated).
Import the tensor Newton / IFT kernels from
omnibias.fields.locus.torch or omnibias.fields.locus.jax.
The locus is a constraint manifold, not a general closed-form PDE solver.
Shared formulas do not imply universal floating-point identity. Verify dtype, shape, derivative-order support, and the stated numerical assumptions for the path you use.
Imports & aliases
These names share a definition with another public module. Follow a name for its full contract, parameters, and examples.
| Import from this module | Canonical reference |
|---|---|
AffineSet | omnibias.core.AffineSet |
AnsatzSolutionField | omnibias.fields.locus.AnsatzSolutionField |
EqualityLocusLayer | omnibias.fields.locus.EqualityLocusLayer |
EqualitySystem | omnibias.core.EqualitySystem |
LocusOutput | omnibias.fields.locus.LocusOutput |
NewtonResult | omnibias.core.NewtonResult |
UnitTerm | omnibias.core.UnitTerm |
affine_locus | omnibias.core.affine_locus |
branch_signature | omnibias.core.locus.branch_signature |
certify_locus_point | omnibias.core.certify_locus_point |
dF_d_weights | omnibias.core.locus.dF_d_weights |
hessian_blocks | omnibias.core.locus.hessian_blocks |
is_transversal | omnibias.core.locus.is_transversal |
jacobian | omnibias.core.locus.jacobian |
locus_tangent | omnibias.core.locus.locus_tangent |
newton_project | omnibias.core.locus.newton_project |
residual | omnibias.core.locus.residual |