4 papers
Zeta functions of quadratic lattices of a hyperbolic plane
Daejun Kim, Seok Hyeong Lee, Seungjai Lee
In this paper, we study the Dirichlet series that enumerates proper equivalence classes of full-rank sublattices of a given quadratic lattice in a hyperbolic plane -- that is, a no…
Cotype zeta functions enumerating subalgebras of -algebras
Seok Hyeong Lee, Seungjai Lee
We introduce and study subalgebra cotype zeta functions, multivariate zeta functions enumerating fixed-index subalgebras of -algebras of a given cotype. This generalizes and uni…
Position: Solve Layerwise Linear Models First to Understand Neural Dynamical Phenomena (Neural Collapse, Emergence, Lazy/Rich Regime, and Grokking)
Yoonsoo Nam, Seok Hyeong Lee, Clementine C J Domine +5
In physics, complex systems are often simplified into minimal, solvable models that retain only the core principles. In machine learning, layerwise linear models (e.g., linear neur…
Zeta functions enumerating subforms of quadratic forms
Daejun Kim, Seok Hyeong Lee, Seungjai Lee
In this paper, we introduce and study the Dirichlet series enumerating (proper) equivalence classes of full rank subforms/sublattices of a given quadratic form/lattice, focusing on…