What is a probability monad?
Formally, however, probability monads entered the picture in Giry's seminal 1982 paper, by way of what later become known as the Giry monad [3]. Though we do ...
monads of probability, measures, and valuations in nLab
The functor: random outcomes · The distribution monad assigns to each set the space of finite distributions on it. · The Giry monad assigns to ...
What is a probability monad? - Tobias Fritz
What is a probability monad? Paolo Perrone. Massachusetts Institute of Technology (MIT). Categorical Probability 2020. Tutorial video. Page 2. Monads as ...
The Probability Monad and Why it's Important for Data Science
Probability is a monad. This allows us to take probabilistic models with deterministic inputs, and flatmap them together to build full-on ...
Probability Monads as Codensity Monads | The n-Category Café
The codensity monad of a functor G : B → A G: \mathbf{B} \to \mathbf{A} is a certain canonical monad on A \mathbf{A} . If G G has a left adjoint ...
Probability Monads from scratch in 100 lines of Haskell - Denny's Blog
Expressing probability distributions as monads allows you to implement something like a mini probabilistic programming language in less than 100 lines of code.
Probability Monad. 37. ☆ Purely functional model of probabilistic programming. ☆ where the monadic structure provides composition. Page 42. Relevant Work. 38.
Tutorial: What is a probability monad? (Paolo Perrone) - YouTube
Tutorial talk for the Categorical Probability and Statistics workshop 2020: http://perimeterinstitute.ca/personal/tfritz/2019/cps_workshop/ ...
The distribution monad is a monad on Set, whose algebras are convex spaces. It can be thought of as the finitary prototype of a probability monad.
Stochastic Lambda Calculus and Monads of Probability Distributions
Probability distributions form a monad, and the monadic definition leads to a simple, natural semantics for a stochastic lambda calculus, as well as simple, ...
Paolo Perrone: Probability monads and stochastic dominance
Talk at the Categorical Probability and Statistics workshop 2020: http://perimeterinstitute.ca/personal/tfritz/2019/cps_workshop/ Title: ...
Hopf monads in categorical probability theory - MathOverflow
A probability monad is affine, meaning that TI≅I canonically, because there is exactly one probability measure on a one-point space. When you ...
From probability monads to commutative effectuses - ScienceDirect
The paper describes the main known 'probability' monads: the monad of discrete probability measures, the Giry monad, the expectation monad, the probabilistic ...
Stochastic Lambda Calculus and Monads of Probability Distributions
Probability dis- tributions form a monad, and the monadic definition leads to a simple, natural semantics for a stochastic lambda cal- culus, as well as simple, ...
probability: Probabilistic Functional Programming - Hackage
The Library allows exact computation with discrete random variables in terms of their distributions by using a monad.
The Probability Monad - YouTube
Tikhon Jelvis C◦mp◦se :: Conference http://www.composeconference.org/2017/ May 18, 2017 Probability distributions form a monad, ...
Probability Monads from scratch in 100 lines of Haskell - Reddit
A more full-fledged probabilistic programming library in Haskell. It's not as advanced as the state of the art, but you can do MCMC, SMC and I put together ...
Parameterized probability monad - UBC Computer Science
Probability monads are an attractive tool both for specifying se- mantics of probabilistic programs and for implementing embedded probabilistic programming ...
[1804.03527] Bimonoidal Structure of Probability Monads - arXiv
We give a conceptual treatment of the notion of joints, marginals, and independence in the setting of categorical probability.
"Build Your Own Probability Monads" paper, blog posts and source ...
A paper: Build your own probability monads. The source code is now available on GitHub. Be warned: This probably won't run on modern Haskell without some ...