Valamontes Interaction Diagrams (VID) — Reproducibility Package

Python 3.10+

License: MIT

Zenodo DOI: https://doi.org/10.5281/zenodo.17850442

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Overview

This repository contains all components required to reproduce the numerical results associated with the Valamontes Interaction Diagrams (VID) framework, including:

• Construction of the 20×20 DLSFH Laplacian

• Moore–Penrose pseudoinverse computation

• Three-node VID example

• Infinity-sector convergence demonstrations

• Alpha-dependent infinity-sector convergence comparison

• Fully reproducible environment and archived datasets

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Quick Start (Three-Node Example)

1. Conda / Python Environment

conda create -n vid python=3.10

conda activate vid

pip install -r requirements.txt

Alternatively (exact reproducibility):

conda env create -f environment.yml

conda activate vid

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2. Install the VID Numerics Package

pip install -e .

Python usage:

from vid_numerics import build_dlsfh_laplacian, compute_pseudoinverse

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3. Reproduction Commands

python scripts/build_DLSFH.py --N=20 --out=Delta20.npy

python scripts/compute_pseudoinverse.py --in Delta20.npy --out=Delta20_pinv.npy

jupyter notebook notebooks/three_node_example.ipynb

Papermill execution:

papermill notebooks/three_node_example.ipynb out.ipynb

-p coherence 0.30

-p truncation_N 50

-p eps_inf 1e-6

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Default Parameters

• Coherence parameter: 0.30

• Infinity-sector truncation: N = 50

• Convergence tolerance: eps_inf = 1e-6

• Spectral cutoff: 0.01

• Random seed: 42

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Reproducibility Runtimes

• Laplacian construction: < 0.05 s

• Pseudoinverse computation: 0.2–0.4 s

• Three-node example: 0.3–0.5 s

• Infinity-sector convergence: ≤ 1.2 s

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Zenodo Archives

Numerical data and figures:

https://doi.org/10.5281/zenodo.17850442

Software archive:

https://zenodo.org/records/17859720

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Repository Structure

scripts/, notebooks/, data/, vid_numerics/, tests/, requirements.txt, environment.yml, LICENSE, pyproject.toml

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Tests

pytest tests/

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Citation

Valamontes, A. (2025). From Feynman Diagrams to Valamontes Interaction Diagrams (VID).

Zenodo DOI: https://doi.org/10.5281/zenodo.17850442