Weaves, Wires, and Morphisms: Formalizing and Implementing the Algebra of Deep Learning
Fuente:
arXiv
Saved in:
| Main Authors: | Abbott, Vincent, Zardini, Gioele |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Functor String Diagrams: A Novel Approach to Flexible Diagrams for Applied Category Theory
by: Abbott, Vincent, et al.
Published: (2024)
by: Abbott, Vincent, et al.
Published: (2024)
Diagrammatic Negative Information
by: Abbott, Vincent, et al.
Published: (2024)
by: Abbott, Vincent, et al.
Published: (2024)
Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks
by: Abbott, Vincent, et al.
Published: (2025)
by: Abbott, Vincent, et al.
Published: (2025)
Composable Uncertainty in Symmetric Monoidal Categories for Design Problems
by: Furter, Marius, et al.
Published: (2026)
by: Furter, Marius, et al.
Published: (2026)
FlashAttention on a Napkin: A Diagrammatic Approach to Deep Learning IO-Awareness
by: Abbott, Vincent, et al.
Published: (2024)
by: Abbott, Vincent, et al.
Published: (2024)
Composable Uncertainty in Symmetric Monoidal Categories for Design Problems (Extended Version)
by: Furter, Marius, et al.
Published: (2025)
by: Furter, Marius, et al.
Published: (2025)
Morphisms and comorphisms of sites II -- Distributors of sites
by: Osmond, Axel, et al.
Published: (2025)
by: Osmond, Axel, et al.
Published: (2025)
Reinforcement Learning in Categorical Cybernetics
by: Hedges, Jules, et al.
Published: (2024)
by: Hedges, Jules, et al.
Published: (2024)
Learning Is a Kan Extension
by: Pugh, Matthew, et al.
Published: (2025)
by: Pugh, Matthew, et al.
Published: (2025)
Morphisms and comorphisms of sites I -- Double categories of sites
by: Caramello, Olivia, et al.
Published: (2025)
by: Caramello, Olivia, et al.
Published: (2025)
Fundamental Components of Deep Learning: A category-theoretic approach
by: Gavranović, Bruno
Published: (2024)
by: Gavranović, Bruno
Published: (2024)
Towards a Categorical Foundation of Deep Learning: A Survey
by: Crescenzi, Francesco Riccardo
Published: (2024)
by: Crescenzi, Francesco Riccardo
Published: (2024)
The Theory behind UMAP?
by: Wegmann, David
Published: (2026)
by: Wegmann, David
Published: (2026)
Stochastic Neural Network Symmetrisation in Markov Categories
by: Cornish, Rob
Published: (2024)
by: Cornish, Rob
Published: (2024)
Learners' Languages
by: Spivak, David I.
Published: (2021)
by: Spivak, David I.
Published: (2021)
Recursive Reward Aggregation
by: Tang, Yuting, et al.
Published: (2025)
by: Tang, Yuting, et al.
Published: (2025)
Generalized Gradient Descent is a Hypergraph Functor
by: Hanks, Tyler, et al.
Published: (2024)
by: Hanks, Tyler, et al.
Published: (2024)
Using Enriched Category Theory to Construct the Nearest Neighbour Classification Algorithm
by: Pugh, Matthew, et al.
Published: (2023)
by: Pugh, Matthew, et al.
Published: (2023)
The Topos of Transformer Networks
by: Villani, Mattia Jacopo, et al.
Published: (2024)
by: Villani, Mattia Jacopo, et al.
Published: (2024)
Position: Categorical Deep Learning is an Algebraic Theory of All Architectures
by: Gavranović, Bruno, et al.
Published: (2024)
by: Gavranović, Bruno, et al.
Published: (2024)
Identifiable Equivariant Networks are Layerwise Equivariant
by: Shahverdi, Vahid, et al.
Published: (2026)
by: Shahverdi, Vahid, et al.
Published: (2026)
Morphisms of pre-Calabi-Yau categories and morphisms of cyclic $A_{\infty}$-categories
by: Boucrot, Marion
Published: (2023)
by: Boucrot, Marion
Published: (2023)
Enriching Disentanglement: From Logical Definitions to Quantitative Metrics
by: Zhang, Yivan, et al.
Published: (2023)
by: Zhang, Yivan, et al.
Published: (2023)
On the Irreducible Morphisms for Skew group algebras
by: Sardar, Shantanu, et al.
Published: (2025)
by: Sardar, Shantanu, et al.
Published: (2025)
A Category-Theoretic Framework from Biological Mechanics to Engineered Stimulus-Response Systems
by: Marom, Lee, et al.
Published: (2026)
by: Marom, Lee, et al.
Published: (2026)
An Adjunction Between Boolean Algebras and a Subcategory of Stone Algebras
by: Incer, Inigo
Published: (2023)
by: Incer, Inigo
Published: (2023)
Compact Matrix Quantum Group Equivariant Neural Networks
by: Pearce-Crump, Edward
Published: (2023)
by: Pearce-Crump, Edward
Published: (2023)
The Gauss-Markov Adjunction Provides Categorical Semantics of Residuals in Supervised Learning
by: Kamiura, Moto
Published: (2025)
by: Kamiura, Moto
Published: (2025)
The Logical Theory of Canonical Maps: The Elements & Distinctions Analysis of the Morphisms, Duality, Canonicity, and Universal Constructions in Set
by: Ellerman, David
Published: (2021)
by: Ellerman, David
Published: (2021)
Gaussian Sheaf Neural Networks
by: Ribeiro, André, et al.
Published: (2026)
by: Ribeiro, André, et al.
Published: (2026)
Towards structure-preserving quantum encodings
by: Parzygnat, Arthur J., et al.
Published: (2024)
by: Parzygnat, Arthur J., et al.
Published: (2024)
Typing Tensor Calculus in 2-Categories (I)
by: Ahmadi, Fatimah Rita
Published: (2019)
by: Ahmadi, Fatimah Rita
Published: (2019)
Quantitative Algebras and a Classification of Metric Monads
by: Adámek, J., et al.
Published: (2022)
by: Adámek, J., et al.
Published: (2022)
Local Rigidity and Six Functor Formalisms
by: Clough, Adrian
Published: (2024)
by: Clough, Adrian
Published: (2024)
How Category Theory Works: The Elements & Distinctions Analysis of the Morphisms, Duality, and Universal Constructions in Sets
by: Ellerman, David
Published: (2020)
by: Ellerman, David
Published: (2020)
Reduce, Reuse, Recycle: Categories for Compositional Reinforcement Learning
by: Bakirtzis, Georgios, et al.
Published: (2024)
by: Bakirtzis, Georgios, et al.
Published: (2024)
Categorical and geometric methods in statistical, manifold, and machine learning
by: Lê, Hông Vân, et al.
Published: (2025)
by: Lê, Hông Vân, et al.
Published: (2025)
DiagrammaticLearning: A Graphical Language for Compositional Training Regimes
by: Lary, Mason, et al.
Published: (2025)
by: Lary, Mason, et al.
Published: (2025)
Characterizing higher Auslander(-Gorenstein) Algebras
by: Ding, Zhenhui, et al.
Published: (2024)
by: Ding, Zhenhui, et al.
Published: (2024)
Model Category Structure on Simplicial Algebras via Dold-Kan Correspondence
by: Faridian, Hossein
Published: (2024)
by: Faridian, Hossein
Published: (2024)
Similar Items
-
Functor String Diagrams: A Novel Approach to Flexible Diagrams for Applied Category Theory
by: Abbott, Vincent, et al.
Published: (2024) -
Diagrammatic Negative Information
by: Abbott, Vincent, et al.
Published: (2024) -
Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks
by: Abbott, Vincent, et al.
Published: (2025) -
Composable Uncertainty in Symmetric Monoidal Categories for Design Problems
by: Furter, Marius, et al.
Published: (2026) -
FlashAttention on a Napkin: A Diagrammatic Approach to Deep Learning IO-Awareness
by: Abbott, Vincent, et al.
Published: (2024)