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Find your API

Start with the quantity you need. Choose a package, inspect its contracts, and follow a runnable example.

This reference follows the current RC/alpha workspace, with a recorded source revision. It includes public exports, module definitions, aliases, and project-defined class members. The installation guide explains version pins and compatibility with older consumers.

16distributions
388public modules
2,709canonical definitions

16 packages · reference at 9a2d73df0573

LEARNING↗

omnibias-binary

Binary and multilevel quantization with explicit hard-forward and surrogate-gradient contracts.

0.1.0a2AlphaApache-2.0
PyTorch · JAX10 modules
LEARNING↗

omnibias-boolean

Boolean truth tables, multilinear extensions, algebraic spectra, and finite-temperature gate systems.

0.1.0a2AlphaApache-2.0
PyTorch · JAX14 modules
OPTIMIZATION↗

omnibias-convex

Differentiable LP and QP solver paths, barrier methods, KKT sensitivities, and scoped optimality evidence.

0.1.0a2AlphaAGPL / commercial
PyTorch · JAX16 modules
FOUNDATION↗

omnibias-core

Coefficient recurrences, activation contracts, jet algebra, and verified arithmetic shared by the numerical backends.

0.5.0rc1Release candidateApache-2.0
Python102 modules
OPTIMIZATION↗

omnibias-curvature

Scoped parameter-curvature formulas, Fisher and Gauss–Newton constructions, natural steps, and sharpness utilities.

0.1.0a2AlphaAGPL / commercial
PyTorch · JAX12 modules
CALCULUS↗

omnibias-difference

Finite-difference stencils, confluence limits, polynomial sequences, and scoped derivative-extraction certificates.

0.1.0a2AlphaApache-2.0
Python · PyTorch · JAX7 modules
OPTIMIZATION↗

omnibias-discrete

Shared discrete-problem contracts, annealed relaxations, hard decoders, and optimality-gap evidence.

0.1.0a2AlphaAGPL / commercial
PyTorch · JAX8 modules
FIELD CALCULUS↗

omnibias-fields

Structured scalar, vector, and tensor fields with derivative caches, calculus operators, and coordinate conventions.

0.2.0rc1Release candidateApache-2.0
PyTorch · JAX33 modules
LEARNING↗

omnibias-graph

Spectral graph operators and differentiable relaxations for ordering, assignment, and graph-structured learning.

0.1.0a2AlphaAGPL / commercial
PyTorch · JAX12 modules
BACKENDS↗

omnibias-jax

JAX activation derivatives, functional network jets, direct contractions, and parameter-differentiable numerical models.

0.5.0rc1Release candidateApache-2.0
JAX29 modules
BACKENDS↗

omnibias-keras

Keras 3 operator layers and activation paths implemented with keras.ops for TensorFlow, JAX, or Torch.

0.0.2a1AlphaApache-2.0
Keras26 modules
LEARNING↗

omnibias-partition

Trainable soft partitions of unity, regional experts, temperature hardening, and scoped membership bounds.

0.1.0a2AlphaAGPL / commercial
NumPy · PyTorch · JAX · Keras12 modules
CALCULUS↗

omnibias-qcalculus

q-numbers, Jackson derivatives and integrals, q-series, and the ordinary-calculus limit as q approaches one.

0.1.0a2AlphaApache-2.0
Python · PyTorch · JAX6 modules
VERIFICATION↗

omnibias-sos

Sum-of-squares constructions, polynomial positivity checks, and rigorous validation of proposed Gram matrices.

0.1.0a2AlphaAGPL / commercial
Python13 modules
LEARNING↗

omnibias-struct

Differentiable dynamic programs for sequences and parses, structured distributions, and finite-temperature bounds.

0.1.0a2AlphaAGPL / commercial
PyTorch · JAX37 modules
BACKENDS↗

omnibias-torch

PyTorch activation derivatives, trainable operator layers, network jets, and direct differential-operator contractions.

0.5.0rc1Release candidateApache-2.0
PyTorch51 modules
Reference depth

The source inventory covers the current public surface. Authored usage guidance and standalone examples are still expanding for advanced APIs. Read the source contract and linked tests before relying on an undocumented assumption; a signature alone does not establish supported shapes, dtypes, or numerical guarantees.

How to read the reference​

Each package opens into focused module pages. Signatures, parameters, defaults, return annotations, explicit validation, and source links come from the pinned implementation. Public aliases link to one canonical reference rather than duplicating a contract.

Use the module contract for shape conventions and mathematical assumptions, then the individual entry for operation-specific details. Expand fields and methods for configuration and class behavior. Regression examples include their full source location and test command; fixtures belong to the pinned upstream checkout. See running reference examples.

Prefer the learning examples for complete, standalone scripts. Search accepts fully qualified names such as omnibias.torch.jet.mlp_jet.

Current substrate and external applications​

The public substrate contains 16 distributions. PINN solver frontends, geometry, symbolic discovery, and other extracted applications have separate owners and compatibility requirements. The ecosystem guide preserves the distinction.