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Why some judgments matter more than others

A reproducible comparison of centrality methods for citation networks in European human-rights case law.01

Two reproduction paths meet at one fixed bundle.

The repository separates full network reconstruction from the faster route that regenerates every paper-facing comparison and figure.

Full reconstructionmake from-metadata
  1. SourceCanonical metadatadata/METADATA/echr_metadata.csv
  2. ExtractCitation edges + diagnosticsscripts/load/extract_edges.py
  3. ConstructArticle-edge network familynetworks/merged-article-edges/
  4. ComputeSelective centrality build02_build_centrality_results.py
Fixed methodological checkpointCentrality-enriched network bundles
results/fixed-merged-subarticles-edges/**/total_df.csv

All manuscript analyses start here, so the published comparisons remain reproducible without rerunning the expensive centrality build.

Paper resultsmake paper-results
network statisticsthreshold testsnetwork-family comparisonpriority comparisonpaper figures
Claim ledgerresult → executable analysis → output
0.30 / 0.35Degree + Eigenvector thresholds
04_test_optimized_threshold_composite.py04_optimized_threshold_composite/combination_summary.csv
45/66 · 43/66aggregate wins across both ground truths
05_compare_across_network_types.py05_network_type_comparison/summary_across_network_types.csv
17 : 1 · −31.6%high- vs low-relevance priority
07_compare_priority_approaches.py07_priority_comparison/summary_statistics.json
The manuscript lives in docs/paper/paper.tex; docs/TRACEABILITY.md maps its claims to active scripts and outputs. Notebook-era and superseded experiments remain isolated under archive/.

Research question

Citation counts flatten a judgment’s position in the wider legal network. This study tests when composite centrality measures outperform their individual components across unbalanced and ground-truth-balanced ECHR citation subnetworks.

The methodological boundary

The repository has two supported depths. make from-metadata rebuilds citation edges and article-edge networks from the canonical ECHR metadata export. The paper-facing analyses deliberately start later, at fixed centrality-enriched total_df.csv bundles, so make paper-results can regenerate the statistical tables, threshold tests, network-family comparisons, priority comparison, and figures without recomputing every centrality result.

That checkpoint is an explicit reproducibility decision: expensive network construction remains inspectable, while the claims made in the manuscript can be rerun quickly from stable inputs.

What the comparisons found

Across 66 subnetworks, Degree + Eigenvector composites beat their individual components in 45 networks against the importance ground truth and 43 against doctypebranch. Degree + InDegree won 45 of 66 under both ground truths. The optimized Degree + Eigenvector weighting changed from 0.30 to 0.35 between those ground truths, evidence that the ranking is contingent on what “important” is taken to mean.

The alternative that prioritised lower-relevance cases performed better in only 1 of 18 comparisons; the higher-relevance approach performed better in 17, with an average difference of −31.6% for the low-relevance variant.

Traceability and contribution

I worked across the research code and its reproducibility layer: metadata processing, citation-edge and network generation, centrality experiments, comparison scripts, result packaging, and the claim-to-artifact map. Each retained quantitative claim is paired with the script that produces it and the concrete CSV, JSON, or figure output that supports it. Active scripts live under scripts/; notebook-era and superseded experiment families are isolated under archive/ rather than left in the executable path.

Publication state

The paper, by Gijs van Dijck and David Henry Francis Wicker, is accepted for ICAIL 2026. Final proceedings publication is pending and no DOI has been assigned yet. The complete citation, DOI, and public manuscript link will be added when released.

Interpretation limits

Centrality does not establish an objective legal importance ranking. The result depends on network construction, the selected ground truth, the measures combined, and the threshold used to combine them. The contribution is therefore not a universal winner; it is an inspectable account of how those decisions change which judgments move from peripheral to central.

Citation while proceedings are pending.

The accepted title, author order, venue, and year are included. DOI, publisher, pages, and final proceedings details are deliberately absent until publication.

Accepted · ICAIL 2026
No DOI assigned

BibTeX Plain text
@inproceedings{vandijckwicker2026centrality,
  title = {Why Some Judgments Matter More Than Others: Advancing Network Centrality Analysis},
  author = {van Dijck, Gijs and Wicker, David Henry Francis},
  booktitle = {Proceedings of the International Conference on Artificial Intelligence and Law},
  year = {2026},
  note = {Accepted; final proceedings metadata and DOI pending}
}
RIS Reference managers
TY  - CPAPER
TI  - Why Some Judgments Matter More Than Others: Advancing Network Centrality Analysis
AU  - van Dijck, Gijs
AU  - Wicker, David Henry Francis
T2  - International Conference on Artificial Intelligence and Law
PY  - 2026
N1  - Accepted; final proceedings metadata and DOI pending
ER  -

Design and implementation

Visual decision
The figure separates full network reconstruction from the fixed analysis checkpoint, then binds each headline result to the script and output that produced it.
Access decision
Reproduction steps and claims are rendered as ordered text, not encoded only by connector lines or colour. File paths remain selectable and readable at narrow widths.
Delivery constraint
All evidence is server-rendered from verified repository facts. The page loads no charting library, notebook runtime, manuscript bundle, or research dataset.