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emergent family

🧭 Intrabar path geometry & topology (parameter-free)

4 novel Β· 3 crypto-prior Β· 0 excluded. Each row links its FOSS implementation + license + paper. Empirical orthogonality deferred.

#CandidateFOSS implementation @ licensePaper Β· provenanceCoverage
#90 intrabar_path_straightness_index
The straightness (net-to-gross displacement) index of the intrabar mid-price path: net displacement (close - open in price, or Euclidean endpoint dist
πŸ”Ž CRYPTO-PRIOR: present in patterns/crypto lit-scan (provenance only; still forex-proposable
JimMcL/trajr (TrajStraightness)
GPL-3.0
DOI:10.1016/j.jtbi.2004.03.016
git-anchor: absent @c803ef96e + @2d308f1c
crypto-prior
#91 intrabar_path_total_absolute_turning
Sum of the absolute exterior turning angles at every interior vertex of the intrabar (time,price) tick polyline, normalized by total arc length (total
JimMcL/trajr Β· scipy/scipy (TrajAngles / turning angles); (vector algebra)
GPL-3.0
DOI:10.1145/1090122.1090160
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#92 intrabar_gyration_tensor_asphericity
Form the 2x2 radius-of-gyration tensor of the intrabar point cloud {(t_i, p_i)} (tick mids, mean-centered, in normalized time-price coordinates), take
glotzerlab/freud Β· plumed/plumed2 (ClusterProperties gyration tensor); (GYRATION
BSD-3-Clause
DOI:10.1063/1.1674820
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#93 intrabar_convex_hull_area_to_pathlength_ratio
Compute the convex hull of the intrabar (time,price) tick point cloud in normalized coordinates; report the dimensionless ratio hull_area / (path_arc_
scipy/scipy (scipy.spatial.ConvexHull / Qhull)
BSD-3-Clause
DOI:10.3390/ijgi7010014
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#94 intrabar_normalized_levy_area
The LΓ©vy area of the intrabar 2D path lift (e.g. (time, mid) or the (bid, ask) co-path), i.e. the signed area enclosed between the path and the chord
⚠ level-2 path-signature fixed depth (structural)
bottler/iisignature Β· datasig-ac-uk/RoughPy
GPL-3.0
arXiv:1603.03788
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#95 intrabar_h0_total_persistence
Sublevel-set persistent homology (H0) of the intrabar mid-price function vs. time: sweep the price level upward, record birth (local minima) and death
πŸ”Ž CRYPTO-PRIOR: present in patterns/crypto lit-scan (provenance only; still forex-proposable
scikit-tda/ripser.py Β· giotto-ai/giotto-tda (CubicalPersistence/lower-star)
MIT
arXiv:2311.01115
git-anchor: absent @c803ef96e + @2d308f1c
crypto-prior
#109 intrabar_h0_persistent_entropy
Shannon entropy of the normalized H0 lifetime distribution from the single sublevel-set filtration of the intrabar mid-price-vs-time function. Take th
⚠ single natural sublevel filtration (structural)
πŸ”Ž CRYPTO-PRIOR: present in patterns/crypto lit-scan (provenance only; still forex-proposable
GUDHI/gudhi-devel Β· giotto-ai/giotto-tda (CubicalComplex sublevel persistence + entropy);
GUDHI: MIT (core; some modules pul
arXiv:1803.08304
git-anchor: absent @c803ef96e + @2d308f1c
crypto-prior