nLab Author — paoloperrone

Overview

paoloperrone has contributed to 97 nLab pages.

Most recent contributions

All pages contributed to

• affine monad
• applications of (higher) category theory
• Arthur Parzygnat
• Bayes rule
• Bayesian inversion
• category of couplings
• category theory
• category-theoretic approaches to probability theory
• commutative monad
• conditional expectation
• convex mixture
• convex powerset of distributions monad
• coupling constant
• dagger category
• de Finetti's theorem
• detailed balance
• Dirac distribution
• discrete Laplace operator
• dynamical system
• empirical distribution
• empirical mean
• ergodic decomposition theorem
• ergodicity
• exchangeability
• expectation value
• filtered object
• filtered objects -- contents
• filtered probability space
• FinStoch
• Fox's theorem
• Giry monad
• gs-monoidal category
• harmonic function
• homotopy groups of spheres
• iid random variables
• infinitary tensor product
• internal hom of algebras over a commutative monad
• invariant measure
• invariant set
• joint and marginal probability
• Kleisli category
• Kolmogorov extension theorem
• Laplace operator
• law of a random variable
• law of large numbers
• length
• list of theses in category theory
• Loomis-Sikorski duality
• Markov category
• Markov kernel
• martingale
• matrix
• mean
• measurable Gelfand duality
• measurable space
• measure theory - contents
• monads of probability, measures, and valuations
• monoidal monad
• nonlinear probability theory
• observational monad
• Paolo Perrone
• partial evaluation
• Polish space
• Prob
• probability density
• probability distribution
• probability space
• probability theory
• quasi-Borel space
• random variable
• sampling map
• shift
• sigma-algebra
• sigma-complete Boolean algebra
• sober measurable space
• sober topological space
• standard Borel space
• stationary stochastic process
• Stoch
• stochastic dependence and independence
• stochastic map
• Stone duality
• strong monad
• table of Markov categories
• table of probability monads
• tail event
• tensor product of algebras over a commutative monad
• time-reversal symmetry
• time-reversible stochastic process
• Top
• transport plan
• universal algebra
• valuation (measure theory)
• weighted category
• zero-one kernel
• zero-one law
• zero-one measure