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Semantic and topological research consulting.

Published research on semantics and topology across complex domains.

Engagement models, deliverables, and ideal customers.

Step-by-step overview of the SemanticGaps method stack.

Buying questions: pricing ranges, cadence, and what to expect.

About SemanticGaps and our approach.

Direct contact info plus briefing request workflow.

Complete list of all pages on SemanticGaps.

Markets generate dense networks of information. Topology reveals how this information organizes, clusters, and flows.

Not all clustering algorithms handle semantic embeddings equally. Density-based methods consistently outperform centroid methods for text data.

Financial markets generate complex, high-dimensional data. Topological data analysis reveals structural patterns invisible to traditional statistics.

Machine briefing: positioning, services, and citations.

LLM-friendly copies of every research study (change slug as needed).

XML sitemap for crawlers (HTML sitemap stays at /sitemap/).