AIMech AI

Author-topic model

Model Families AIMech:AuthorTopicModel DRAFT
A generative document model in which each author has a shared topic-proportion distribution and each word is produced by uniformly selecting an author from the document's observed author set, selecting a topic from that author, and selecting a word from that topic.
Identity Notes & Concept Scope Scoped to Rosen-Zvi, Griffiths, Steyvers and Smyth's UAI 2004 author-topic model, whose arXiv deposit occurred in 2012. It conditions on a document's authors and pools topic preferences across their documents. It is distinct from document-specific LDA, a pure author-word mixture, author-recipient-topic models and personalized large language models. Latent token-author assignments are model variables, not observed intellectual contributions. No normalized identity match was found across all 442 pinned AIO labels and scoped synonyms and 423 preceding native IDs, names and aliases. Full-checkout fixed-string searches included ignored and hidden files in worktree and main. Ten matched lines in each checkout reduce to nine unique line contents: prior frontier references, copied discovery context and cached web-result mentions. Every matching concept excerpt was inspected; these are not maintained or imported identities. All 200 semantic label/synonym hits were read. Eighteen exact annotated AIO CLASS nodes and outgoing edges were inspected, including 14 verified unchanged from prior reading and four newly read. Thirty contextual YAMLs comprise those 18 AIO records and 12 native neighbors: six fully read here, 23 byte-verified after prior reading and the updated APM verified against its fully reviewed round100 bytes. Absence is bounded to the pinned snapshot, maintained corpus and inspected semantic neighborhood.

Claims & Grounded Evidence

2 Claims
Mechanism #author-conditioned-law
For fixed topic count T, draw each author topic vector theta_a from a symmetric Dirichlet(alpha) and each topic word vector phi_t from a symmetric Dirichlet(beta). Given a nonempty observed author set A_d, each token draws x uniformly from A_d, z from theta_x, and w from phi_z. Conditional on theta, the document-topic mixture is the arithmetic mean of its authors' topic vectors. Ordinary smoothed LDA is recovered when every document is assigned its own distinct single author and the priors match; sharing one author across documents instead pools their proportions. The author-word model requires deterministic unique topic assignment per author, a constrained degenerate case rather than a typical positive-Dirichlet draw.
Mechanism #collapsed-sampling
The published Gibbs sampler jointly updates each token's author-topic pair after integrating theta and phi. For observed word v, eligible author a in A_d and topic t, the conditional weight is proportional to (n_vt^(-i)+beta)/(n_.t^(-i)+V*beta) times (n_at^(-i)+alpha)/(n_a.^(-i)+T*alpha). Counts exclude the current token; assignments outside A_d have zero weight. The uniform author-selection factor is constant among eligible pairs and cancels in normalization. Dirichlet posterior means conditional on sampled assignments estimate the author-topic and topic-word vectors; averaging across sampled assignments approximates marginal inference. Finite sampling and posterior-mean plug-ins are not exact multiword posterior predictive integration.

⚠️ Curated Limitations & Negative Results

Artificial Intelligence Ontology (AIO) Grounding

Mapped AIO Classes
AIO Target Class Mapping Relation Mapping Rationale
AIO:Model
Model
broad_match The local identity is a specified probability-model family; the pinned Model class is broader.
AIO:ProbabilisticTopicModel
Probabilistic Topic Model
related_match The local generative model supports topic modeling. This pinned AIO target is task-scoped, so related match preserves the model-versus-task distinction.

Evidence Sources & Primary Literature

1 Source
Source ID Publication / Document Type / Access Reference & Checksum
method-source
Michal Rosen-Zvi, Thomas Griffiths, Mark Steyvers, Padhraic Smyth
primary paper
full_text
ID: arXiv:1207.4169
sha256:d6a920e2b903…

Curation Provenance

Curator: Codex
Method: ai_assisted
Model: GPT-6
Created: 2026-10-11T23:45:21Z
Updated: 2026-10-11T23:45:21Z
Source File: data/curated/AuthorTopicModel.yaml