Papers
Long-form breakdowns of research in probability, category theory, and systems.
PaperFeb 3, 2026
Categorical Probability
Probability Maps as First-Class Arrows
Treat probability maps as composable arrows with Wasserstein distance built in — clean plumbing for stochastic systems and robust belief comparison.
- category theory
- markov kernels
- wasserstein
PaperJan 12, 2026
Topos-Theoretic Probability
Descent as Epistemic Coherence
Treat uncertainty not as noise on one global picture, but as local beliefs that must agree where they overlap. Bayesian updating becomes 'make the locals compatible, then glue.'
- sheaf theory
- bayesian
- sensor fusion