3 papers
stat.ME2025
Bayesian Sphere-on-Sphere Regression with Optimal Transport Maps
Tin Lok James Ng, Kwok-Kun Kwong, Jiakun Liu +1
Spherical regression, in which both covariates and responses lie on the sphere, arises in many scientific applications and has attracted considerable methodological attention in re…
physics.app-ph2024
A Substructure Perturbation Method for Systematic Design of Mechanical Metamaterials with Programmed Functionalities
Jiakun Liu, Adam Taylor, Sage Fulco +2
Mechanical metamaterials utilize geometry to achieve exceptional mechanical properties, including those not typically possible for traditional materials. To achieve these propertie…
math.AP2020
Interior estimate for Monge-Ampère equation in dimension two
Jiakun Liu
We obtain a genuine local estimate for the Monge-Ampère equation in dimension two, by using the partial Legendre transform.