Covariance in Belief Space

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Generate 10,000 beliefs. Make them as diverse as you can. Put one in the context window. Test the others randomly. Which beliefs covary with each other? How many beliefs do you need to explain 90% of the variance? If we do it on the full set, we can do PCA in belief space.

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If you are inspired by this idea, you can reach out to the authors for collaboration or cite it:

@misc{holtzman-covariance-in-belief-2026,
  author = {Holtzman, Ari},
  title = {Covariance in Belief Space},
  year = {2026},
  url = {https://hypogenic.ai/ideahub/idea/Z6lcNuOFAhgYzu1mtT2h}
}

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