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    Semantic and topological research consulting.

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    Published research on semantics and topology across complex domains.

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Research Studies

  • Market Topology

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

  • Semantic Clustering Methods

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

  • Topology in Finance

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