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Demo listing. This page uses illustrative seed metadata to demonstrate the Atlas. Claims shown here are not verified product facts.

Chainspan

Strategy & Transformation

Demo

A mixture-distance service that computes Chain Rule Optimal Transport (CROT) metrics between statistical mixtures — giving ML and ranking teams tractable, metric distances and tight upper bounds where KL and f-divergences have no closed form.

Design onlyfazeZERO VerifiedProprietary

Last verified 15 Sept 2026 · Updated 23 Sept 2026 · Metadata v4

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Configuration + implementation engagement

Problem

Platform ML teams that compare, cluster, or monitor Gaussian/other mixtures (user embedding mixtures, topic mixtures, KDE audience models) and today rely on expensive Monte Carlo f-divergence estimates.

Outcome

A design-complete foundation in the active pipeline — engineering scaffold planned to complete this month.

Who uses it

  • Operations Analyst
  • Solution Architect

Key capabilities

Capabilities are defined during customer configuration.

Typical workflow

Primary operating flow

Trigger: An operator starts the primary use case

  1. Task

    Stage 1: Capture inputs

    Operator

  2. AI-assisted

    Stage 2: Assist with draft

    System

  3. Human checkpoint

    Stage 3: Human approval

    Approver

Task Automated AI-assisted Human checkpoint Decision

About this foundation

Statistical geometry API for mixtures. Information-fusion and ranking stacks constantly need dissimilarities between mixtures; KL/f-divergences lack closed forms and need costly MC. Chainspan commercialises CROT: optimal transport on marginals with ground distance on conditionals (chain-rule factorisation), proven metric when the ground distance is metric, generalising Wasserstein and mixture-component OT (MCOT), with Sinkhorn relaxation and documented upper bounds on TV, √JS-style, Wp, and Rényi distances under joint convexity.

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