Cluster algebras: network science and machine learning

Learning and adaptive systems in artificial intelligence (68T05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graph theory (05C99) Cluster algebras (13F60)

Cites Work

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Toda systems, cluster characters, and spectral networks
BPS quivers and spectra of complete \(\mathcal N =2\) quantum field theories
Lecture notes on cluster algebras
Skew-symmetric cluster algebras of finite mutation type
Cluster algebras from dualities of 2d \({\mathcal{N}} = (2, 2)\) quiver gauge theories
Cluster mutation-periodic quivers and associated Laurent sequences
The quantum dilogarithm and representations of quantum cluster varieties
New graphs of finite mutation type
Cluster algebras. II: Finite type classification
\(Y\)-systems and generalized associahedra
Electric-magnetic duality in supersymmetric non-abelian gauge theories
Evolving neural networks with genetic algorithms to study the string landscape
Machine learning in the string landscape
Wall-crossing in coupled 2d-4d systems
The amplituhedron
Notes on cluster algebras and some all-loop Feynman integrals
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Algorithmically solving the tadpole problem
Neurons on amoebae
Graph Laplacians, Riemannian manifolds, and their machine-learning
Deep learning Gauss-Manin connections
Hilbert series, machine learning, and applications to physics
Brain webs for brane webs
Machine learning Calabi-Yau four-folds
Deep learning the hyperbolic volume of a knot
Quiver mutations and Boolean reflection monoids
Moduli spaces of local systems and higher Teichmüller theory
Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
Neural network approximations for Calabi-Yau metrics
Cluster algebras I: Foundations
Grassmannian Geometry of Scattering Amplitudes
Cluster algebras: an introduction
Cluster Algebras of Finite Mutation Type Via Unfoldings
Bipartite field theories, cluster algebras and the Grassmannian
Cluster polylogarithms for scattering amplitudes
A trio of dualities: walls, trees and cascades
The Calabi–Yau Landscape
Advancing mathematics by guiding human intuition with AI
Some open questions in quiver gauge theory
From the Trinity ( A ₃ , B ₃ , H ₃ ) to an ADE correspondence
Machine-learning dessins d’enfants: explorations via modular and Seiberg–Witten curves
Deep-learning the landscape

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