A Probability Monad as the Colimit of Finite Powers

T. A. Fritz, Paolo Perrone

Type: Preprint

Publication Date: 2017-12-14

Citations: 10

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	A Probability Monad as the Colimit of Spaces of Finite Samples	2017	T. A. Fritz Paolo Perrone
+	A Probability Monad as the Colimit of Spaces of Finite Samples	2017	T. A. Fritz Paolo Perrone
+	A Probability Monad as the Colimit of Spaces of Finite Samples	2017	T. A. Fritz Paolo Perrone
+	Stochastic order on metric spaces and the ordered Kantorovich monad	2020	T. A. Fritz Paolo Perrone
+ PDF Chat	Commutative codensity monads and probability bimeasures	2024	Zev Shirazi
+	Probability monads as codensity monads	2021	Ruben Van Belle
+	Probability monads as codensity monads.	2021	Ruben Van Belle
+ PDF Chat	Codensity and the Giry monad	2015	Tom Avery
+	Categorical Probability Theory	2014	Kirk Sturtz
+	Categorical Probability Theory	2014	Kirk Sturtz
+	The Giry monad as a codensity monad	2014	Kirk Sturtz
+ PDF Chat	On Monadic Vector-Valued Integration	2024	Benedikt Peterseim
+ PDF Chat	A Topologically Enriched Probability Monad on the Cartesian Closed Category of CGWH Spaces	2024	Peter Kristel Benedikt Peterseim
+	Riesz-Schwartz extensive quantities and vector-valued integration in closed categories	2013	Rory B. B. Lucyshyn-Wright
+	A Linear Exponential Comonad in s-finite Transition Kernels and Probabilistic Coherent Spaces	2019	Masahiro Hamano
+	A linear exponential comonad in s-finite transition kernels and probabilistic coherent spaces	2023	Masahiro Hamano
+	Kan extensions are partial colimits	2021	Paolo Perrone Walter Tholen
+	Kan extensions are partial colimits	2021	Paolo Perrone Walter Tholen
+	Correspondences between codensity and coupling-based liftings, a practical approach	2024	Samuel Humeau Daniela Petrişan Jurriaan Rot
+ PDF Chat	Kan Extensions are Partial Colimits	2022	Paolo Perrone Walter Tholen

Works That Cite This (9)

Action	Title	Year	Authors
+	Stochastic order on metric spaces and the ordered Kantorovich monad	2020	T. A. Fritz Paolo Perrone
+ PDF Chat	Probabilistic morphisms and Bayesian nonparametrics	2021	Jürgen Jost Hông Vân Lê Tat Dat Tran
+	A Criterion for Kan Extensions of Lax Monoidal Functors	2018	T. A. Fritz Paolo Perrone
+	Monads, Partial Evaluations, and Rewriting	2020	T. A. Fritz Paolo Perrone
+	Bimonoidal Structure of Probability Monads	2018	T. A. Fritz Paolo Perrone
+	Benjamini-Schramm Convergence of Normalized Characteristic Numbers of Riemannian Manifolds	2020	Daniel Luckhardt
+	Free complete Wasserstein algebras	2018	Radu Mardare Prakash Panangaden Gordon Plotkin
+	Compositional Abstraction Error and a Category of Causal Models	2021	Eigil Fjeldgren Rischel Sebastian Weichwald
+	Functional probabilistic programming for scalable Bayesian modelling	2019	J. Law Darren J. Wilkinson

Works Cited by This (20)

Action	Title	Year	Authors
+	On the axiomatization of convex subsets of Banach spaces	2013	Valerio Capraro T. A. Fritz
+	Eilenberg–Moore algebras for stochastic relations	2006	Ernst–Erich Doberkat
+	Postulates for the barycentric calculus	1949	M. H. Stone
+	Algebraic Kan extensions in double categories	2014	Seerp Roald Koudenburg
+ PDF Chat	Constructing Applicative Functors	2012	Ross Paterson
+	Higher-Dimensional Algebra III.n-Categories and the Algebra of Opetopes	1998	John C. Baez James G. Dolan
+	On the size of categories.	1995	Peter Freyd Ross Street Michael Barr
+	A double-dimensional approach to formal category theory	2015	Seerp Roald Koudenburg
+	Algebraic Kan extensions along morphisms of internal algebra classifiers	2015	Mark Weber
+ PDF Chat	Quantitative Algebraic Reasoning	2016	Radu Mardare Prakash Panangaden Gordon Plotkin