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Sprint projectNov 2, 2025Washington, DC, USA

LUCR - Linking Utility and Compute Rate

Matthew Duffy · Team LUCR Team

Submitted to The AI Forecasting Hackathon. Sprint projects are early-stage work by participants, not Apart Research publications.

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My project, LUCR (Linking Utility and Compute Rate), is an open-source forecasting model that quantifies "algorithmic efficiency". I built a two-stage Bayesian model to bridge Epoch's compute-capability data with METR's "subhuman" task benchmarks. The model's key output is the LUCR metric (dMETR / d(log C)), which treats algorithmic improvement as a measurable variable. This provides a policy-relevant tool to generate AGI timeline probabilities under "what-if" scenarios, like an "AGI Race" or "Compute Restrictions". The full pipeline is open-sourced and reproducible.

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Does the project meaningfully advance AI timeline prediction and capability forecasting? Does it clearly connect to measurable indicators of AI progress (compute, benchmarks, economic impacts, automation milestones)? Does it build on or challenge existing forecasting frameworks like biological anchors, scaling laws, or scenario planning? Does it offer novel methodologies, data sources, or empirical insights that could improve forecast accuracy? Is it grounded in observable trends rather than pure speculation?

Does this project inform critical decisions about AI development and preparedness? Does it help identify key uncertainties, decision points, or early warning indicators? How well does the project connect technical metrics to real-world impacts and policy needs? Could the output guide resource allocation, safety research priorities, or regulatory timelines? Does it reduce uncertainty around transformative AI milestones or capability emergence?

Is the project methodologically rigorous, reproducible, and technically sound? Is the forecasting approach well-calibrated with appropriate uncertainty quantification? Are the data sources, assumptions, and limitations clearly documented? Does the project demonstrate sound statistical methodology and honest treatment of model uncertainties? Would the tool, model, or framework be useful for ongoing forecasting efforts, research planning, or policy analysis?

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Cite this project

@misc{duffy2025lucr,
  title = {{LUCR - Linking Utility and Compute Rate}},
  author = {Matthew Duffy},
  year = {2025},
  month = nov,
  note = {Submitted to The AI Forecasting Hackathon, an Apart Research Sprint},
  howpublished = {\url{https://apartresearch.com/sprints/projects/lucr-linking-utility-and-compute-rate-rzeg}},
  url = {https://apartresearch.com/sprints/projects/lucr-linking-utility-and-compute-rate-rzeg}
}

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