monads of probability

Bimonoidal Structure of Probability Monads MiS Preprint 30-2018

We give a conceptual treatment of the notion of joints, marginals, and independence in the setting of categorical probability.

Probability, valuations, hyperspace: Three monads on top and the ...

Close relatives of the distribution monad are used to treat probability measures in the sense of measure theory. These monads live on suitable ...

Build Your Own Probability Monads | Hacker News

Probability monad is a really novel way to experiment with stochastic processes. I saw one in scala few weeks back. To get insight into 128-bit ...

PFP - Probabilistic Functional Programming in Haskell

These function can be employed in many different ways - be it solving of statistics problem from textbooks or the application to scientific problems. The ...

March | 2019 | Fabulous adventures in coding

What about the converse? Our probability monad IDiscreteDistribution has a Where function defined. We definitely have a Singleton type.

Monads, Partial Evaluations, and Rewriting - Mendeley

For the case of probability monads, partial evaluations correspond to what probabilists call conditional expectation of random variables, and partial ...

Probabilistic operational semantics for the lambda calculus - Numdam

λ◦ is based on the monad of sampling functions and is able to specify probability distributions over infinite discrete domains and continuous domains. The ...

Quantitative Information Flow with Monads in Haskell

Our particular interest here is the probability monad, which can be –and has been– used to synthesise models for probabilistic programming. Quantitative ...

Commutative Monads for Probabilistic Programming Languages

A long-standing open problem in the semantics of programming languages supporting probabilistic choice is to find a commutative monad for probability on the ...

Quantitative information flow with monads in Haskell

Monads are a popular feature of the programming language Haskell ... Our particular interest here is the probability monad, which can be —and has ...

A Trustful Monad for Axiomatic Reasoning with Probability and ...

for probabilistic choice and one for monads equipped with an operator ... We first extend the type monad into the type of the probability monad probMonad.

Embedded Probabilistic Programming* - okmij.org

Here pm is an abstract type constructor, whose name is short for 'probability monad'. [8, 19, 42]. Different implementations of ProbSig define pm in their own ...

A Convenient Category for Higher-Order Probability Theory

This gives a commutative monad that generalizes the Giry monad for measurable spaces [15]. A. Monads. We use the Kleisli triple formulation of monads (see. e.g. ...

Categorical Probability and Stochastic Dominance in Metric Spaces

In Chapter 1 we give an overview of the concept of a probability monad, first defined by Giry. Probability monads can be interpreted as a categorical tool ...

Distributing probability over non-determinism - ProQuest

However, these two monads do not combine well as they are. To overcome this problem, we introduce the notion of indexed valuations. This notion is used to dene ...

Categorical Probability and Stochastic Dominance in Metric Spaces

As it is known, to every monad corresponds an adjunction. For probability monads, this adjunction can be interpreted in terms of Choquet theory ...

From Vulnerability Formalization to Finitely Additive Probability ...

Finitely additive probability monads. This chapter treats probability functors and monads. There exists a monad of probability measures, as shown by Giry ...

Categorical Probability and Statistics 2020 - YouTube

Tutorial: What is a probability monad? (Paolo Perrone) · Tutorial: Probabilistic programming - a categorical tutorial (Sam Staton) · Tutorial: ...

Numeric.Probability.Monad not exported from ... - Stack Overflow

:load "MontyHall.hs" MontyHall.hs:10:18: Could not find module `Numeric.Probability.Monad' it is a hidden module in the package `probability-0.2 ...

FMFMFMF: Free Monads For Making Fast Models, Functionally.

Monads of Probability ; eval :: Monad m => PP m a -> m (Probability, a) ; = go 0 prog ; where ; Pure x) = return (p, x) ; Free (P m)) = m >>= (\(p', ...