3 papers
cs.LG2026
Nearest-Neighbor Radii under Dependent Sampling
Yuanyuan Gao, Yilong Hou, Zhexiao Lin
Nearest-neighbor methods are fundamental to classical and modern machine learning, yet their geometric properties are typically analyzed under independent sampling. In this paper,…
math.ST2026
HAL-MLE Log-Splines Density Estimation (Part I: Univariate)
Yilong Hou, Zhengpu Zhao, Yi Li +1
We study nonparametric maximum likelihood estimation of probability densities under a total variation (TV) type penalty, sectional variation norm (also named as Hardy-Krause variat…
cs.LG2025
Enhanced BPINN Training Convergence in Solving General and Multi-scale Elliptic PDEs with Noise
Yilong Hou, Xi'an Li, Jinran Wu +1
Bayesian Physics Informed Neural Networks (BPINN) have attracted considerable attention for inferring the system states and physical parameters of differential equations according…