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PHASE 124 CANDIDATESITEM 2 / MSG 3229

🌿 Fractal family

Hurst variants, multifractal spectra (MF-DFA / A-MF-DFA / MFCCA / S-MF-DFA), Δh(q) scaling, multivariate fBm, fractal dimensions (Petrosian, Katz, Higuchi).

Total
24
candidates
Not covered
20
passed novelty + audit
Covered
4
already shipped or claimed
FOSS ready
15
permissive licence
COVERAGE-BUCKET LANES click any candidate to jump to RESEARCH-DIGEST.md

Candidates against the existing coverage surface

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.

Gemini deep-research
Claude deep-research
Both sources
Ghost: existing CH column

Full candidate table

24 rows · sorted by #

Coverage detail quotes the verdict source verbatim (file:line citation where applicable).

# Candidate Source Coverage Coverage detail FOSS @ SHA
#22 Hurst R/S (Anis-Lloyd) both py-schema crates/opendeviationbar-hurst (R/S w/ rs_corrected); lookback_hurst active=False nolds@f121fee
#23 Hurst via DFA both py-schema lookback_hurst:47, intra_hurst:69 (active=False) antropy / nolds@f121fee
#24 Generalised Hurst (Di Matteo & Aste) claude-dr none passed 4-source novelty nolds@f121fee
#25 MF-DFA spectrum h(q) both none passed 4-source novelty MFDFA@ef652e1
#26 Singularity spectrum α, f(α) claude-dr none passed 4-source novelty MFDFA@ef652e1
#27 Multifractal scaling exponents τ(q) claude-dr none passed 4-source novelty MFDFA@ef652e1
#28 Multifractal spectrum width Δα claude-dr parallel-session other-session 10-feature list #1 wrapper on MFDFA@ef652e1
#29 Asymmetric MF-DFA H+ gemini-dr none passed 4-source novelty (reimplement from Cao 2013 Eqs.) no public implementation
#30 Asymmetric MF-DFA H− gemini-dr none passed 4-source novelty (reimplement from Cao 2013 Eqs.) no public implementation
#31 A-MF-DFA H+/H− divergence gemini-dr none passed 4-source novelty (derived from #29 + #30) no public implementation
#32 Segmented MF-DFA (S-MF-DFA) claude-dr none passed 4-source novelty (reimplement from Saâdaoui 2024) no public implementation
#33 Finite-sample Hurst extrapolation claude-dr none passed 4-source novelty wrapper on MFDFA@ef652e1
#34 Δh(q) on returns claude-dr none passed 4-source novelty wrapper on MFDFA@ef652e1
#35 Δh(q) on absolute returns claude-dr none passed 4-source novelty wrapper on MFDFA@ef652e1
#36 Δh(q) on volatility increments claude-dr none passed 4-source novelty wrapper on MFDFA@ef652e1
#37 MF-DFA on realized volatility claude-dr none passed 4-source novelty wrapper on MFDFA@ef652e1
#38 MF-DFA on jump series (MinRV) claude-dr parallel-session other-session 10-feature list #6 jump extractor + MFDFA@ef652e1
#39 MFCCA — q-dependent ρ_DCCA(q,s) claude-dr none passed 4-source novelty (reimplement from Zhou 2008) no public implementation
#40 Volatility-volume cross-multifractality claude-dr none passed 4-source novelty (depends on #39) no public implementation
#41 Multivariate fBm cross-asset Hurst claude-dr none passed 4-source novelty (NEW: mfbm/mfou) leonardo-toffalini/mfbm@f7b683c
#42 Multiscale Shannon-Hurst informativeness curve claude-dr none passed 4-source novelty (reimplement from Brouty 2024) no public implementation
#43 Petrosian fractal dimension claude-dr none passed 4-source novelty antropy@dfbe688
#44 Katz fractal dimension claude-dr none passed 4-source novelty antropy@dfbe688
#45 Higuchi fractal dimension claude-dr none passed 4-source novelty antropy@dfbe688

Cross-references