PDELie Support Matrix

This page is a compact map of the stable v0.x user-facing surface. It is a navigation aid, not a replacement for API_STABILITY.md.

The machine-readable version for the v0.29 recipe release is support_matrix.v0_29.json.

Core Workflows

Workflow	First APIs	Defensible output
Data readiness	pdelie.data.from_numpy(...), pdelie.data.from_xarray(...), pdelie.data.from_xarray_dataset(...), pdelie.reporting.summarize_xarray_dataset_readiness(...), pdelie.reporting.summarize_field_batch_readiness(...)	report-only compatibility checks for canonical scalar 1D periodic FieldBatch workflows
Candidate validation	pdelie.symmetry.validate_symmetry_candidate(...), pdelie.verification.verify_translation_generator(...), pdelie.reporting.summarize_generator_confidence(...)	configured validation and finite-transform verification evidence
Downstream/export provenance	pdelie.discovery.to_pysindy_trajectories(...), pdelie.discovery.summarize_discovery_bridge_output(...), pdelie.discovery.summarize_discovery_result(...), pdelie.reporting.summarize_downstream_discovery_workflow(...), pdelie.reporting.summarize_split_leakage_provenance(...)	backend-neutral runtime summaries, provenance traceability, and split-risk diagnostics

PDE Support Matrix

PDE	Generator	Residual	Vertical slice	Candidate validation	Weak support	External-data readiness
Heat	yes	yes	yes	yes	frozen weak slice	yes
Burgers	yes	yes	yes	yes	frozen weak slice	yes
KdV	normalized short-horizon only	yes	yes	yes	no	yes
Fisher-KPP	yes	yes	yes	yes	internal weak diagnostic only	yes
Advection-diffusion	yes	yes	yes	yes	no	yes
KS	no public runtime	no	no	diagnostic/no-go	no	no

Selected Runtime Helpers

These helpers are stable public APIs under their submodules. They remain runtime supportability tools, not canonical objects or manuscript artifact schemas.

• pdelie.reporting.summarize_generator_fit_diagnostics

• pdelie.invariants.compute_periodic_window_coverage

• pdelie.invariants.diagnose_uniform_translation_consistency

• pdelie.reporting.summarize_invariant_workflow

• pdelie.invariants.summarize_uniform_translation_orbit

• pdelie.invariants.build_uniform_translation_orbit_batch

• pdelie.invariants.OrbitBatchResult

• pdelie.symmetry.validate_symmetry_candidate

• pdelie.symmetry.FormulaGeneratorFamily

• pdelie.reporting.summarize_generator_confidence

• pdelie.reporting.summarize_field_batch_readiness

• pdelie.discovery.summarize_discovery_bridge_output

• pdelie.discovery.summarize_discovery_result

• pdelie.reporting.summarize_downstream_discovery_workflow

• pdelie.reporting.summarize_split_leakage_provenance

• pdelie.reporting.summarize_weak_form_supportability

• pdelie.data.from_xarray_dataset

• pdelie.reporting.summarize_xarray_dataset_readiness

Boundary Statement

PDELie reports empirical Lie-symmetry diagnostics under explicit contracts. A positive report means the configured evidence passed for the supplied field, residual evaluator, generator candidate, thresholds, and validation path. It is not a mathematical proof, a broad benchmark claim, a learned symmetry model, or a guarantee that finite transforms are safe outside the documented scope.