feat(inference): add synthetic science recipe workflow

[TobiBu]

Summary

• add rubix.inference.workflows with a compact synthetic end-to-end science recipe
• add output persistence helper for JSON/NPZ science artifacts
• add CLI entry script and unit tests for workflow/output behavior
• expose new helpers in inference exports and docs

Validation

• pre-commit run --files rubix/inference/workflows.py tests/test_inference_workflows.py scripts/run_synthetic_science_recipe.py docs/inference_workflows.rst docs/rubix.inference.rst rubix/inference/__init__.py
• python -m compileall rubix/inference/workflows.py tests/test_inference_workflows.py scripts/run_synthetic_science_recipe.py

Notes

• pytest execution in this sandbox intermittently hangs due local JAX backend/runtime behavior; test coverage is provided in tests/test_inference_workflows.py and lint hooks pass.

[Copilot]

Pull request overview

Adds a compact “synthetic science recipe” workflow under rubix.inference that runs an end-to-end pipeline (deterministic optimization → variational inference → posterior predictive sampling → residual/metric summarization), plus helpers to persist outputs and accompanying CLI/docs/tests.

Changes:

• Added rubix.inference.workflows with run_synthetic_science_recipe() and save_science_recipe_outputs().
• Added a runnable CLI script to execute the workflow and write JSON/NPZ artifacts.
• Added unit tests and documentation updates; exported workflow helpers via rubix.inference.

Reviewed changes

Copilot reviewed 6 out of 6 changed files in this pull request and generated no comments.

Show a summary per file

File	Description
rubix/inference/workflows.py	Implements the synthetic end-to-end workflow and output persistence (JSON + NPZ).
scripts/run_synthetic_science_recipe.py	CLI wrapper for running the workflow and saving outputs to a directory.
tests/test_inference_workflows.py	Validates workflow output structure and verifies JSON/NPZ persistence behavior.
rubix/inference/__init__.py	Exposes workflow helpers at the package level via imports and __all__.
docs/rubix.inference.rst	Adds autodoc entry for the new rubix.inference.workflows module.
docs/inference_workflows.rst	Documents how to run the synthetic workflow via the new script.

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