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stat.ME2025
Scalable Bayesian inference for heat kernel Gaussian processes on manifolds
Junhui He, Guoxuan Ma, Jian Kang +1
We establish a scalable manifold learning method and theory, motivated by the problem of estimating fMRI activation manifolds in the Human Connectome Project (HCP). Our primary con…
stat.ME2024
Adaptive Bayesian Multivariate Spline Knot Inference with Prior Specifications on Model Complexity
Junhui He, Ying Yang, Jian Kang
In multivariate spline regression, the number and locations of knots influence the performance and interpretability significantly. However, due to non-differentiability and varying…