Image de couverture de livre

Learning Is a Kan Extension

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Pugh, Matthew, Grundy, Jo, Cirstea, Corina, Harris, Nick
Format:	Preprint
Publié:	2025
Sujets:	Category Theory Machine Learning
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Using Enriched Category Theory to Construct the Nearest Neighbour Classification Algorithm
par: Pugh, Matthew, et autres
Publié: (2023)

Presenting Neural Networks via Coherent Functors
par: Pugh, Matthew, et autres
Publié: (2026)

Generalized Gradient Descent is a Hypergraph Functor
par: Hanks, Tyler, et autres
Publié: (2024)

Reinforcement Learning in Categorical Cybernetics
par: Hedges, Jules, et autres
Publié: (2024)

Weaves, Wires, and Morphisms: Formalizing and Implementing the Algebra of Deep Learning
par: Abbott, Vincent, et autres
Publié: (2026)

Homotopical Dold-Kan Correspondences
par: Hubert, Léo
Publié: (2025)

Model Category Structure on Simplicial Algebras via Dold-Kan Correspondence
par: Faridian, Hossein
Publié: (2024)

Recursive Reward Aggregation
par: Tang, Yuting, et autres
Publié: (2025)

Stochastic Neural Network Symmetrisation in Markov Categories
par: Cornish, Rob
Publié: (2024)

Learners' Languages
par: Spivak, David I.
Publié: (2021)

The Theory behind UMAP?
par: Wegmann, David
Publié: (2026)

The Topos of Transformer Networks
par: Villani, Mattia Jacopo, et autres
Publié: (2024)

Cubical models of $\infty$-presheaves and the Bousfield-Kan formula
par: Arakawa, Kensuke, et autres
Publié: (2025)

Towards a Categorical Foundation of Deep Learning: A Survey
par: Crescenzi, Francesco Riccardo
Publié: (2024)

Free fibrations, lax colimits and Kan extensions for $(\infty,2)$-categories
par: Abellán, Fernando, et autres
Publié: (2026)

Fundamental Components of Deep Learning: A category-theoretic approach
par: Gavranović, Bruno
Publié: (2024)

Kan Approximations of the Persistent Homology Transform
par: Arya, Shreya, et autres
Publié: (2025)

Identifiable Equivariant Networks are Layerwise Equivariant
par: Shahverdi, Vahid, et autres
Publié: (2026)

Enriching Disentanglement: From Logical Definitions to Quantitative Metrics
par: Zhang, Yivan, et autres
Publié: (2023)

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks
par: Abbott, Vincent, et autres
Publié: (2025)

Monoidal Envelopes of Families of $\infty$-Operads and $\infty$-Operadic Kan Extensions
par: Arakawa, Kensuke
Publié: (2023)

DiagrammaticLearning: A Graphical Language for Compositional Training Regimes
par: Lary, Mason, et autres
Publié: (2025)

Compact Matrix Quantum Group Equivariant Neural Networks
par: Pearce-Crump, Edward
Publié: (2023)

The Gauss-Markov Adjunction Provides Categorical Semantics of Residuals in Supervised Learning
par: Kamiura, Moto
Publié: (2025)

Gaussian Sheaf Neural Networks
par: Ribeiro, André, et autres
Publié: (2026)

Towards structure-preserving quantum encodings
par: Parzygnat, Arthur J., et autres
Publié: (2024)

Typing Tensor Calculus in 2-Categories (I)
par: Ahmadi, Fatimah Rita
Publié: (2019)

A variant of a Dwyer-Kan theorem for model categories
par: Chorny, Boris, et autres
Publié: (2018)

Reduce, Reuse, Recycle: Categories for Compositional Reinforcement Learning
par: Bakirtzis, Georgios, et autres
Publié: (2024)

Categorical and geometric methods in statistical, manifold, and machine learning
par: Lê, Hông Vân, et autres
Publié: (2025)

Position: Categorical Deep Learning is an Algebraic Theory of All Architectures
par: Gavranović, Bruno, et autres
Publié: (2024)

When is the partial map classifier a Sierpiński cone?
par: Pugh, Leoni, et autres
Publié: (2025)

The Relativity of Causal Knowledge
par: D'Acunto, Gabriele, et autres
Publié: (2025)

Canonical Extensions of Quantale-Enriched Categories
par: Kurz, Alexander, et autres
Publié: (2026)

Universal Extensions and Ext-Orthogonal Complements of Torsion Classes
par: Rundsveen, Endre S.
Publié: (2024)

Language Modeling with Reduced Densities
par: Bradley, Tai-Danae, et autres
Publié: (2020)

On Meta-Prompting
par: de Wynter, Adrian, et autres
Publié: (2023)

Functorial Neural Architectures from Higher Inductive Types
par: Sargsyan, Karen
Publié: (2026)

A Category-theoretical Meta-analysis of Definitions of Disentanglement
par: Zhang, Yivan, et autres
Publié: (2023)

Envelopes and the bar complex
par: Hogancamp, Matthew
Publié: (2024)