Information-theoretic complexity measures: Shannon, ApEn, SampEn, permutation variants, multiscale, statistical complexity, CECP, Ordinal Partition Networks. #14 Hjorth Mobility is the first grounded candidate in this family — see the deep dive.
#14 Bar Hjorth Mobility — first grounded entropy candidate. Passed Terry's full 3-axis mandate (orthogonal × parameterless × agnostic) across 6 symbols × 4 thresholds × 10 historical slices (2021-01-01 → 2026-02-28). Univariate |ρ| ≤ 0.69 and combinatorial R² ≤ 0.35 on large-N bar sets vs the 0.85 PASS threshold; zero per-feature parameters; symbol-consistent regime-shifted competitor pattern.
Each candidate (filled circle) sits in the lane matching its coverage status. The dashed-circle ⊙ "ghost" markers in the PY-SCHEMA lane are existing open_deviation_bars columns from column_comments.py — your existing coverage surface.
Coverage detail quotes the verdict source verbatim (file:line citation where applicable).
| # | Candidate | Source | Coverage | Coverage detail | FOSS @ SHA |
|---|---|---|---|---|---|
| #1 | Shannon Entropy | both | none | G9 reclassified (forex/crypto scope error) |
scipy.stats.entropy / antropy@dfbe688
|
| #2 | Approximate Entropy (ApEn) | both | none | passed 4-source novelty + adversarial |
antropy@dfbe688
|
| #3 | Sample Entropy (SampEn) | both | none | passed 4-source novelty + adversarial |
antropy / nolds@f121fee
|
| #4 | Permutation Entropy | both | py-schema | lookback_permutation_entropy:48, intra_permutation_entropy:70 (active=False per msg 428) |
antropy@dfbe688 / ordpy@c4d6726
|
| #5 | Weighted Permutation Entropy | both | none | passed 4-source novelty |
pyEntropy@f76bdb8 / ordpy@c4d6726
|
| #6 | Multiscale Entropy (Costa) | both | none | passed 4-source novelty |
pyEntropy@f76bdb8
|
| #7 | Composite Multiscale Entropy | claude-dr | none | passed 4-source novelty |
pyEntropy@f76bdb8
|
| #8 | Multiscale Permutation Entropy | claude-dr | none | passed 4-source novelty |
pyEntropy@f76bdb8
|
| #9 | Spectral Entropy | claude-dr | none | passed 4-source novelty |
antropy@dfbe688
|
| #10 | SVD Entropy | claude-dr | none | passed 4-source novelty |
antropy@dfbe688
|
| #11 | Dispersion Entropy | claude-dr | none | passed 4-source novelty |
EntropyHub (PyPI)
|
| #12 | Fisher Information / Fisher-Shannon | claude-dr | none | passed 4-source novelty |
ordpy@c4d6726
|
| #13 | Lempel-Ziv Complexity | both | patterns-audit | 2026-04-19-orthogonal-exotica row B3 FAIL (CONDITIONAL trigger-form) |
antropy@dfbe688
|
| #14 ★ | Hjorth mobility — grounded deep dive ↗ | gemini-dr | grounded · strong promote | Phase-2 spike 2026-05-27: 208/208 PASS across 6 symbols × 4 thresholds × 10 slices (|ρ|≤0.69, R²≤0.35, h_norm=1.000) |
antropy@dfbe688
|
| #15 | Hjorth complexity | gemini-dr | none | passed 4-source novelty |
antropy@dfbe688
|
| #16 | Statistical Complexity (JS-MPR) | both | patterns-eval-module | opendeviationbar_patterns/eval/orthogonal.py:188 (CONDITIONAL) |
ordpy@c4d6726
|
| #17 | Permutation JS distance to 1/f² noise | claude-dr | none | passed 4-source novelty |
wrapper on ordpy@c4d6726
|
| #18 | CECP coordinates (PE, C) | both | patterns-eval-module | orthogonal.py:187-188 (CONDITIONAL) |
ordpy@c4d6726
|
| #19 | CECP velocity / trajectory | gemini-dr | none | passed 4-source novelty |
rolling-window wrapper on ordpy
|
| #20 | Binary CECP coordinates | claude-dr | parallel-session | other-session 10-feature list #7 |
binarize → ordpy@c4d6726
|
| #21 | Ordinal Partition Network features | gemini-dr | none | passed 4-source novelty (NEW: OPyN GPL-3.0) |
thosvarley/OPyN@0c1de30
|
| #64 | Adaptive entropy coefficient | gemini-dr | none-source-blocked | arXiv:2601.10143 resolves to wrong paper |
none until correct citation found
|