Frontier science

Relational Network Analysis

Relational Network Analysis underlying historical texts: a graph theory approach (CF-2023-G-941), funded by the Frontier Science 2023 program of the Secretariat of Science, Humanities, Technology and Innovation (SECIHTI), Government of Mexico

Project focused on reconstructing and analyzing implicit social networks in historical corpora through graph theory models, computational pipelines, and open publication of results and data.

GoalGeneral objectiveSpecific objectivesPublicationsGLIMPSEModel

Frontier science

Relational Network Analysis

01Goal

Build a document corpus and computational tools that identify and analyze networks underlying texts to understand the structure and dynamics of a society at a given moment using graph-theory models.

02General objective

Develop and implement computational tools grounded in graph theory to identify and analyze networks underlying texts written from a witness’s or participant’s perspective, in order to understand social structure and dynamics in time.

03Specific objectives
  • 1Analyze interactions of underlying networks with graph theory to understand social dynamics in a given period.
  • 2Build and implement algorithms to classify and identify constitutive elements, their relationships, and the construction of networks from the corpus.
  • 3Construct mathematical models to study and understand the structure of networks embedded in the corpus.
  • 4Publish a digital repository with a broad collection of historical corpora—mainly diaries and correspondence—available to the scientific community and the public.
04Publications
05Talks
  • Espitia, D. and Motilla, J.A. The structure and dynamics of the city of San Luis Potosí, Mexico: 1767-1821... Data Biographies, Università della Svizzera italiana, February 13-14, 2025.
  • Espitia, D. and Motilla, J.A. La estructura y dinámica de la ciudad de San Luis Potosí, México: 1767–1821... 7th Encuentro de Humanistas Digitales, ITESM, October 15-17, 2025.
  • Motilla, J.A. In and Out of the Canon: A Computational Reading of Ignacio Montes de Oca y Obregón’s Concept of Modernity (1840–1921). Helsinki Centre of Intellectual History, December 15-17, 2025.
07Events
  • Summer School

    Training days linked to the project.

08GLIMPSE

The computational methodology converges in GLIMPSE (Graph-based Language Interpretation and Modeling for Past Societal Epistemology), a platform to process and model historical texts at scale with reproducible flows. It integrates ML and LLMs for OCR correction, entity recognition, and topic detection in automated pipelines, treating texts as relational data to enable structural and dynamic analysis of historical societies.

GLIMPSE visualizations and captures coming soon.

09Model

The generative model assumes an encompassing scale-free social network (Barabási–Albert) and treats networks observed in texts as subgraphs induced by a low-connectivity observer. Sampling rules weight neighborhood nodes and highly connected nodes; events follow an exponential distribution in the number of nodes. The induced subgraphs are analyzed with degree distribution, clustering, cliques, and small-world properties, and compared against synthetic realizations to infer dynamics from partial observations.

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