PDELie Documentation#
PDELie is a research library for empirical Lie-symmetry diagnostics on controlled PDE time-series data. The documentation site collects the tutorial notebooks, stable API/specification docs, planning records, and release-readiness notes.
Start with the rendered tutorials if you are new to the project. Use the specs and API stability pages when changing runtime behavior or public interfaces.
Tutorials
- Tutorial Notebooks
- PDE time series to generators with confidence
- Raw vs translation-canonical discovery inputs
- Robustness sweeps as diagnostic evidence
- Portability round-trips with empirical revalidation
- Comparing fitted, finite-map, formula-backed, and failed candidates
- Closure algebra diagnostics and formula metadata
- Orbit, coverage, and materialized translation batches
- External and formula-backed symmetry candidates
- Downstream task template: symmetry-aware inputs without paper policy
- xarray Dataset ingestion: the safe data ecosystem doorway
- Scope decisions and weak-form supportability
- Multi-generator diagnostics without overclaiming
- 12 - Dataset to Downstream Workflow
- 13 - Candidate to Split Provenance Workflow
Reference
- PDELie Documentation Index
- Workflow Recipes
- Specifications
- PDELie — Specification (v0.x)
- 1. Scope
- 2. Pipeline
- 3. Canonical Objects
- 4. Residual Ontology
- 5. Identifiability
- 6. Verification Protocol
- 7. Grid Policy
- 8. Preprocessing
- 9. Serialization
- 10. Final Rule
- CONTRACTS AND DEFAULT EVALUATION CONVENTIONS
- 1. CANONICAL OBJECT SCHEMAS
- 2. RESIDUAL ONTOLOGY
- 3. DEFAULT VERIFICATION SETTINGS
- 4. IDENTIFIABILITY CONVENTIONS
- 5. GRID POLICY (v0.x)
- 6. BENCHMARK CONTROL RULES
- 7. SUCCESS CRITERIA
- 8. SERIALIZATION RULES
- FINAL RULE
- PDELie — Architecture
- API Stability Policy
- PDELie Support Matrix
- Planning
- PDELie Roadmap
- PDELie - Execution Plan (V0.29)
- V0.26 Scope - KS Revisit Decision, Promotion Deferred to V0.26b
- V0.27 Scope - Multi-Generator Diagnostics Decision
- V0.28.0 Scope - Narrow xarray Dataset Ingestion and Data Ecosystem Feasibility
- V0.29.0 Scope - Workflow Recipes and Support Matrix
- Planning Archive
- Releases
- Strategy