4 citations · 9 across the 6 of their papers we have counts for
12 papers
Quantum Finite Automata and Quiver Algebras
George Jeffreys, Siu-Cheong Lau
We find an application in quantum finite automata for the ideas and results of [JL21] and [JL22]. We reformulate quantum finite automata with multiple-time measurements using the a…
Noncommutative Geometry of Computational Models and Uniformization for Framed Quiver Varieties
George Jeffreys, Siu-Cheong Lau
We formulate a mathematical setup for computational neural networks using noncommutative algebras and near-rings, in motivation of quantum automata. We study the moduli space of th…
Kähler Geometry of Quiver Varieties and Machine Learning
George Jeffreys, Siu-Cheong Lau
We develop an algebro-geometric formulation for neural networks in machine learning using the moduli space of framed quiver representations. We find natural Hermitian metrics on th…
On the Complex Affine Structures of SYZ Fibration of Del Pezzo Surfaces
Siu-Cheong Lau, Tsung-Ju Lee, Yu-Shen Lin
Given any smooth cubic curve , we show that the complex affine structure of the special Lagrangian fibration of constructed by Co…
-equivariant disc potentials for toric Calabi-Yau manifolds
Hansol Hong, Yoosik Kim, Siu-Cheong Lau +1
We study the equivariant disc potentials for immersed SYZ fibers in toric Calabi-Yau manifolds. The immersed Lagrangians play a crucial role in the partial compactification of the…
A Note on Disk Counting in Toric Orbifolds
Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau +2
We compute orbi-disk invariants of compact Gorenstein semi-Fano toric orbifolds by extending the method used for toric Calabi-Yau orbifolds. As a consequence the orbi-disc potentia…