excess³ — methods, Spanish introduction, and cross-disciplinary guide

Author: Johel Padilla-Villanueva
ORCID: 0000-0002-5797-6931
Contact: [email protected] · [email protected]

Repository: https://github.com/johelpadilla/excess3

This repository holds the shared family of three excess³ documents (one statistic, three roles). The methods preprint is the canonical specification.

Folder	Document	Language	Role
methods/	excess³: A Pre-Specified Continuous Proxy…	EN	Canonical definition, nulls, synthetic validation G0–G3
intro/	excess³: dependencia de orden 3…	ES	Dense motivation, reading, integrated validation figures
primer/	Understanding excess³…	EN	Cross-disciplinary pedagogy, vignettes, teaching notes

Citation hierarchy

1. Cite methods/ for equations, null protocol, reporting checklist, and claim-level validation.
2. Use intro/ for Spanish exposition and narrative results language.
3. Use primer/ for first contact, lab meetings, and teaching — not as an implementation source.

Build PDFs

Requires a TeX distribution with tcolorbox, tabularx, natbib, hyperref, and (for the Spanish intro) babel with Spanish.

# Methods
cd methods
pdflatex Excess3_Methods_Synthetic_Validation.tex
bibtex Excess3_Methods_Synthetic_Validation
pdflatex Excess3_Methods_Synthetic_Validation.tex
pdflatex Excess3_Methods_Synthetic_Validation.tex

# Spanish introduction (reads figures + numbers from ../methods/)
cd ../intro
pdflatex Excess3_Introduccion_Accesible.tex
bibtex Excess3_Introduccion_Accesible
pdflatex Excess3_Introduccion_Accesible.tex
pdflatex Excess3_Introduccion_Accesible.tex

# English primer
cd ../primer
pdflatex Excess3_Cross_Disciplinary_Guide.tex
bibtex Excess3_Cross_Disciplinary_Guide
pdflatex Excess3_Cross_Disciplinary_Guide.tex
pdflatex Excess3_Cross_Disciplinary_Guide.tex

Re-run synthetic validation (optional)

Precomputed ensemble outputs live in methods/notes/. To regenerate (needs NumPy/SciPy/Matplotlib and the Level-3 reference stack, e.g. academy-learning-tau / systemictau on PYTHONPATH):

cd methods
python3 scripts/generate_synthetic_validation.py   # long run
python3 scripts/fill_numbers_from_json.py

Software stack (related): https://doi.org/10.5281/zenodo.20576241

Level-3 implementation (code): install nested-recd ≥ 0.2 — continuous excess³, Φ₁–Φ₃, phase-shuffle nulls on |Δ excess3|.
systemictau consumes it via pip install "systemictau[nested]" / systemictau.nested.

Contract (short)

• excess3 = 0.6·Syn + 0.4·Surp with weights fixed a priori
• Continuous excess³ primary; Φ₃ secondary
• Inference on the full contrast (e.g. |Δ|) with phase-shuffle (or equivalent)
• Proxy ≠ full PID; parallel RECD nesting (no hard Φ₁⇒Φ₂⇒Φ₃)
• Dependence / surplus language — not causation

License

Manuscripts and figures in this repository are intended for distribution under
Creative Commons Attribution 4.0 International (CC BY 4.0).

Separate note (accumulation-point peak)

accumulation/ is a later preprint on the coupled-map cascade. Version 2 counts joint tuples. The window-13 excess3 maximum is at r = 3.95. Version 1, which used the pooled-symbol count, remains citable. The note is not a new version of the methods deposit.

Version 2: 10.5281/zenodo.22970080
Version 1: 10.5281/zenodo.22945800

Zenodo

• Methods family: 10.5281/zenodo.21385937. Versioned archival deposit of the methods paper, the Spanish introduction, and the English primer.
• Accumulation-point note: version 2 10.5281/zenodo.22970080; version 1 10.5281/zenodo.22945800. Separate record for accumulation/.