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A synthetic approach to Markov kernels, conditional independence and
  theorems on sufficient statistics
v1v2v3v4v5v6v7v8 (latest)

A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics

19 August 2019
Tobias Fritz
ArXiv (abs)PDFHTML

Papers citing "A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics"

50 / 56 papers shown
A Unified Compositional View of Attack Tree Metrics
A Unified Compositional View of Attack Tree Metrics
Benedikt Peterseim
Milan Lopuhaä-Zwakenberg
80
0
0
18 Nov 2025
Intuitionistic $j$-Do-Calculus in Topos Causal Models
Intuitionistic jjj-Do-Calculus in Topos Causal Models
Sridhar Mahadevan
93
3
0
20 Oct 2025
Causal Abstractions, Categorically Unified
Causal Abstractions, Categorically Unified
Markus Englberger
Devendra Singh Dhami
123
0
0
06 Oct 2025
Consciousness as a Functor
Consciousness as a Functor
Sridhar Mahadevan
157
0
0
25 Aug 2025
Universal Reinforcement Learning in Coalgebras: Asynchronous Stochastic Computation via Conduction
Universal Reinforcement Learning in Coalgebras: Asynchronous Stochastic Computation via Conduction
Sridhar Mahadevan
OffRL
240
2
0
20 Aug 2025
A Rose by Any Other Name Would Smell as Sweet: Categorical Homotopy Theory for Large Language Models
A Rose by Any Other Name Would Smell as Sweet: Categorical Homotopy Theory for Large Language Models
Sridhar Mahadevan
163
1
0
07 Aug 2025
Topos Theory for Generative AI and LLMs
Topos Theory for Generative AI and LLMs
Sridhar Mahadevan
166
0
0
05 Aug 2025
Topos Causal Models
Topos Causal Models
Sridhar Mahadevan
172
0
0
05 Aug 2025
A Markov Categorical Framework for Language Modeling
A Markov Categorical Framework for Language Modeling
Yifan Zhang
BDL
348
2
0
25 Jul 2025
Invariant Representations via Wasserstein Correlation Maximization
Invariant Representations via Wasserstein Correlation Maximization
Keenan Eikenberry
Lizuo Liu
Yoonsang Lee
OOD
234
0
0
16 May 2025
Categorical and geometric methods in statistical, manifold, and machine learning
Categorical and geometric methods in statistical, manifold, and machine learning
H. Lê
Hà Quang Minh
Frederic Protin
W. Tuschmann
AI4CE
268
0
0
06 May 2025
An Algebraic Approach to Moralisation and Triangulation of Probabilistic Graphical Models
An Algebraic Approach to Moralisation and Triangulation of Probabilistic Graphical ModelsConference on Algebra and Coalgebra in Computer Science (CALCO), 2025
Antonio Lorenzin
Fabio Zanasi
222
3
0
14 Mar 2025
A Pattern Language for Machine Learning Tasks
A Pattern Language for Machine Learning Tasks
Benjamin Rodatz
Ian Fan
Tuomas Laakkonen
Neil John Ortega
Thomas Hoffman
Vincent Wang-Ma'scianica
415
3
0
02 Jul 2024
Products, Abstractions and Inclusions of Causal Spaces
Products, Abstractions and Inclusions of Causal Spaces
Simon Buchholz
Junhyung Park
Bernhard Schölkopf
427
1
0
01 Jun 2024
Reinforcement Learning in Categorical Cybernetics
Reinforcement Learning in Categorical CyberneticsElectronic Proceedings in Theoretical Computer Science (EPTCS), 2024
Jules Hedges
Riu Rodríguez Sakamoto
283
5
0
03 Apr 2024
Algorithmic syntactic causal identification
Algorithmic syntactic causal identification
Dhurim Cakiqi
Max A. Little
149
0
0
14 Mar 2024
Overdrawing Urns using Categories of Signed Probabilities
Overdrawing Urns using Categories of Signed Probabilities
Bart Jacobs
Dario Stein
53
1
0
14 Dec 2023
Beyond Boundaries: A Comprehensive Survey of Transferable Attacks on AI Systems
Beyond Boundaries: A Comprehensive Survey of Transferable Attacks on AI Systems
Guangjing Wang
Ce Zhou
Yuanda Wang
Bocheng Chen
Hanqing Guo
Qiben Yan
AAMLSILM
517
9
0
20 Nov 2023
Going Beyond Neural Network Feature Similarity: The Network Feature
  Complexity and Its Interpretation Using Category Theory
Going Beyond Neural Network Feature Similarity: The Network Feature Complexity and Its Interpretation Using Category TheoryInternational Conference on Learning Representations (ICLR), 2023
Yiting Chen
Zhanpeng Zhou
Junchi Yan
330
13
0
10 Oct 2023
Active Inference in String Diagrams: A Categorical Account of Predictive
  Processing and Free Energy
Active Inference in String Diagrams: A Categorical Account of Predictive Processing and Free Energy
Sean Tull
Johannes Kleiner
T. S. C. Smithe
AI4CE
218
4
0
01 Aug 2023
Enriching Disentanglement: From Logical Definitions to Quantitative
  Metrics
Enriching Disentanglement: From Logical Definitions to Quantitative MetricsNeural Information Processing Systems (NeurIPS), 2023
Yivan Zhang
Masashi Sugiyama
329
2
0
19 May 2023
A Category-theoretical Meta-analysis of Definitions of Disentanglement
A Category-theoretical Meta-analysis of Definitions of DisentanglementInternational Conference on Machine Learning (ICML), 2023
Yivan Zhang
Masashi Sugiyama
440
5
0
11 May 2023
The Compositional Structure of Bayesian Inference
The Compositional Structure of Bayesian InferenceInternational Symposium on Mathematical Foundations of Computer Science (MFCS), 2023
Dylan Braithwaite
Jules Hedges
T. S. C. Smithe
326
7
0
10 May 2023
Quantifying Consistency and Information Loss for Causal Abstraction
  Learning
Quantifying Consistency and Information Loss for Causal Abstraction LearningInternational Joint Conference on Artificial Intelligence (IJCAI), 2023
Fabio Massimo Zennaro
P. Turrini
Theodoros Damoulas
CML
184
6
0
07 May 2023
String Diagrams with Factorized Densities
String Diagrams with Factorized Densities
Eli Sennesh
Jan-Willem van de Meent
283
0
0
04 May 2023
Categorical Foundations of Explainable AI: A Unifying Theory
Categorical Foundations of Explainable AI: A Unifying Theory
Pietro Barbiero
S. Fioravanti
Francesco Giannini
Alberto Tonda
Pietro Lio
Elena Di Lavore
XAI
273
6
0
27 Apr 2023
Computing with Categories in Machine Learning
Computing with Categories in Machine LearningArtificial General Intelligence (AGI), 2023
Eli Sennesh
T. Xu
Yoshihiro Maruyama
332
2
0
07 Mar 2023
Jointly Learning Consistent Causal Abstractions Over Multiple
  Interventional Distributions
Jointly Learning Consistent Causal Abstractions Over Multiple Interventional DistributionsCLEaR (CLEaR), 2023
Fabio Massimo Zennaro
Máté Drávucz
G. Apachitei
W. D. Widanage
Theodoros Damoulas
226
19
0
14 Jan 2023
Markov Categories and Entropy
Markov Categories and EntropyIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2022
Paolo Perrone
257
21
0
22 Dec 2022
Axioms for retrodiction: achieving time-reversal symmetry with a prior
Axioms for retrodiction: achieving time-reversal symmetry with a prior
A. Parzygnat
F. Buscemi
158
47
0
24 Oct 2022
Dependent Bayesian Lenses: Categories of Bidirectional Markov Kernels
  with Canonical Bayesian Inversion
Dependent Bayesian Lenses: Categories of Bidirectional Markov Kernels with Canonical Bayesian Inversion
Dylan Braithwaite
Jules Hedges
228
3
0
29 Sep 2022
Compositional Active Inference II: Polynomial Dynamics. Approximate
  Inference Doctrines
Compositional Active Inference II: Polynomial Dynamics. Approximate Inference Doctrines
T. S. C. Smithe
142
2
0
25 Aug 2022
The d-separation criterion in Categorical Probability
The d-separation criterion in Categorical ProbabilityJournal of machine learning research (JMLR), 2022
Tobias Fritz
Andreas Klingler
226
40
0
12 Jul 2022
A Probabilistic Generative Model of Free Categories
A Probabilistic Generative Model of Free Categories
Eli Sennesh
T. Xu
Y. Maruyama
301
0
0
09 May 2022
A graphical construction of free Markov categories
A graphical construction of free Markov categories
Yimu Yin
138
1
0
11 Apr 2022
Markov categories, causal theories, and the do-calculus
Markov categories, causal theories, and the do-calculus
Yimu Yin
Jiji Zhang
230
5
0
11 Apr 2022
Free gs-monoidal categories and free Markov categories
Free gs-monoidal categories and free Markov categoriesApplied Categorical Structures (ACS), 2022
Tobias Fritz
Wendong Liang
301
30
0
05 Apr 2022
Weakly supervised causal representation learning
Weakly supervised causal representation learningNeural Information Processing Systems (NeurIPS), 2022
Johann Brehmer
P. D. Haan
Phillip Lippe
Taco S. Cohen
OODCML
497
166
0
30 Mar 2022
Interpreting Dynamical Systems as Bayesian Reasoners
Interpreting Dynamical Systems as Bayesian Reasoners
N. Virgo
Martin Biehl
Simon McGregor
FAttAI4CE
172
16
0
27 Dec 2021
A category theory framework for Bayesian learning
A category theory framework for Bayesian learning
Kotaro Kamiya
John Welliaveetil
BDL
140
2
0
29 Nov 2021
A Categorical Semantics of Fuzzy Concepts in Conceptual Spaces
A Categorical Semantics of Fuzzy Concepts in Conceptual Spaces
Sean Tull
289
6
0
12 Oct 2021
Generalized Optimization: A First Step Towards Category Theoretic
  Learning Theory
Generalized Optimization: A First Step Towards Category Theoretic Learning Theory
Dan Shiebler
132
2
0
20 Sep 2021
Compositional Active Inference I: Bayesian Lenses. Statistical Games
Compositional Active Inference I: Bayesian Lenses. Statistical Games
T. S. C. Smithe
157
14
0
09 Sep 2021
Category Theory in Machine Learning
Category Theory in Machine Learning
Dan Shiebler
Bruno Gavranović
Paul W. Wilson
226
42
0
13 Jun 2021
Categorical composable cryptography
Categorical composable cryptographyFoundations of Software Science and Computation Structure (FOSSACS), 2021
Anne Broadbent
M. Karvonen
363
11
0
12 May 2021
De Finetti's Theorem in Categorical Probability
De Finetti's Theorem in Categorical Probability
Tobias Fritz
Tomáš Gonda
Paolo Perrone
317
43
0
06 May 2021
Compositional Abstraction Error and a Category of Causal Models
Compositional Abstraction Error and a Category of Causal ModelsConference on Uncertainty in Artificial Intelligence (UAI), 2021
E. F. Rischel
S. Weichwald
399
35
0
29 Mar 2021
Compositional Semantics for Probabilistic Programs with Exact
  Conditioning
Compositional Semantics for Probabilistic Programs with Exact ConditioningLogic in Computer Science (LICS), 2021
Dario Stein
S. Staton
172
30
0
27 Jan 2021
Cyber Kittens, or Some First Steps Towards Categorical Cybernetics
Cyber Kittens, or Some First Steps Towards Categorical Cybernetics
T. S. C. Smithe
115
8
0
26 Jan 2021
Functorial Manifold Learning
Functorial Manifold LearningElectronic Proceedings in Theoretical Computer Science (EPTCS), 2020
Dan Shiebler
517
5
0
15 Nov 2020
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