3 papers
math.MG2025
On the Maximum Flatness Factor over Unimodular Lattices
Maiara F. Bollauf, Hsuan-Yin Lin
The theta series of a lattice is a power series that characterizes the number of lattice vectors at certain norms. It is closely related to a critical quantity widely used in physi…
cs.IT2025
Generalized Theta Series of a Lattice
Maiara F. Bollauf, Hsuan-Yin Lin
Mimicking the idea of the generalized Hamming weight of linear codes, we introduce a new lattice invariant, the generalized theta series. Applications range from identifying stable…
cs.LG2024
Age Aware Scheduling for Differentially-Private Federated Learning
Kuan-Yu Lin, Hsuan-Yin Lin, Yu-Pin Hsu +1
This paper explores differentially-private federated learning (FL) across time-varying databases, delving into a nuanced three-way tradeoff involving age, accuracy, and differentia…