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Tier B · Adjacent · B1
PHASE 115 ENTRIESTIER B · ADJACENT

➡️ B1 — Causal direction

Top pick: Reduced TE (Kirkley 2025) (author GitHub (TBD)). Fills the gap: Causal direction — which the production baseline (Pearson + Spearman + h_norm + Tier-2 MI-vs-target) cannot detect.

Total
15
metrics in this category
Permissive FOSS
6
usable today
GPL
7
license check needed
Unpackaged / no FOSS
2
integration cost
PRIORITY FOCUS BATCH A · SKIPPED P4

🎯 No P1 in this category — Batch A skips this tier

This category is Tier B (adjacent measurement) — doesn't directly score orthogonality. Top P4 metric shown below for reference.

Metric: Reduced Transfer Entropy (Kirkley 2025) · FOSS: Author GitHub (numpy port) · Effort: Moderate · Gap closed: Causal direction (Tier B adjacent — Batch A skips)

→ See the full priority list — 30 metrics ranked P1 → P4 across 6 categories.

FOSS-READINESS LANES click any metric circle to open its library/repo URL

Catalog entries grouped by adoption-readiness

Lane = how usable the metric is today. Top lane = production-baseline duplicates (Pearson, Spearman). Below = permissive FOSS / GPL / unmaintained / code-released-but-not-packaged / no-FOSS. Per-circle text = first 3 letters of language (Pyt / R / Jav).

PRODUCTION BASELINE
FOSS — permissive
FOSS — GPL
FOSS — unmaintained
Code released, not packaged
No FOSS surfaced
PRODUCTION BASELINE (0 entries) FOSS — permissive (6 entries) R Effective Transfer E… R Renyi/Tsallis Transf… Pyt Convergent Cross Map… Pyt DYNOTEARS Pyt Granger causality (l… Pyt Neural Granger Causa… FOSS — GPL (7 entries) Jav JIDT (KSG + many est… Pyt IDTxl Pyt Schreiber Transfer E… Pyt PCMCI / PCMCI+ Pyt LPCMCI Pyt Active Information S… R / CRQA FOSS — unmaintained (0 entries) Code released, not packaged (1 entries) Pyt Reduced Transfer Ent… No FOSS surfaced (1 entries) MAT PMIME

Full metric inventory

15 entries · sorted by FOSS readiness then name
Metric Priority Library License Lang Maint Complexity Param-free? URL
Reduced Transfer Entropy (Kirkley 2025)P4Author GitHub (not packaged)TBDPython⚠️O(N) per pairno↗
Active Information Storage—IDTxl / JIDTGPLv3Python / Java✅O(N log N)yes↗
CRQA—crqa / PyRQAGPL / Apache-2R / Python✅O(N^2)yes↗
IDTxl—IDTxlGPLv3Python✅variesyes↗
JIDT (KSG + many estimators)—jidtGPLv3Java+Python✅variesyes↗
LPCMCI—tigramiteGPLv3Python✅higher than PCMCIyes↗
PCMCI / PCMCI+P4tigramiteGPLv3Python✅O(N V^2 tau_max k_test)yes↗
Schreiber Transfer Entropy—IDTxlGPLv3Python✅O(N log N) k-NNyes↗
Convergent Cross Mapping (CCM)P4pyEDMBSD-stylePython (cpp wrapper)✅O(N^2 E)yes↗
DYNOTEARS—causalnexApache-2Python✅O(N^3) + iteryes↗
Effective Transfer EntropyP4RTransferEntropyMITR✅O(N log N) + bootstrapyes↗
Granger causality (linear F-test)P4statsmodels.tsa.stattools.grangercausalitytestsBSD-3Python✅O(N) per paramyes↗
Neural Granger Causality (Tank 2018)P4Neural-GCMITPython (PyTorch)✅high?↗
Renyi/Tsallis Transfer Entropy—RTransferEntropy (entropy='Renyi')MITR✅O(N log N) + bootstrapyes↗
PMIME—PMIME-and-TEno LICENSE — commercial use needs author contactMATLAB+Python⚠️O(N K L log N)yes↗

Cross-references