6 papers
Extreme principal minors of Wishart and deformed GOE matrices
Zhaorui Dong, Tiefeng Jiang, Tuan Pham +1
We study the laws of large numbers for the largest eigenvalues among all principal minors of Wishart matrices and deformed GOE matrices. We propose a new method based on identifyin…
Exact detection threshold of the packing test
Tuan Pham
Using Poisson approximation techniques, we derive the detection threshold of the packing test in \cite{Jiang13} when testing spherical uniformity under high-dimensional Fisher--von…
Convergence and Stability Analysis of Self-Consuming Generative Models with Heterogeneous Human Curation
Hongru Zhao, Jinwen Fu, Tuan Pham
Self-consuming generative models have received significant attention over the last few years. In this paper, we study a self-consuming generative model with heterogeneous preferenc…
Detecting non-uniform patterns on high-dimensional hyperspheres
Tiefeng Jiang, Tuan Pham
We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \cite…
Asymptotic analysis of high-dimensional uniformity tests under heavy-tailed alternatives
Tiefeng Jiang, Tuan Pham
We study the high-dimensional uniformity testing problem, which involves testing whether the underlying distribution is the uniform distribution, given data points on the -d…
A District-level Ensemble Model to Enhance Dengue Prediction and Control for the Mekong Delta Region of Vietnam
Wala Draidi Areed, Thi Thanh Thao Nguyen, Kien Quoc Do +18
The Mekong Delta Region of Vietnam faces increasing dengue risks driven by urbanization, globalization, and climate change. This study introduces a probabilistic forecasting model…