5 papers
Estimation of Riemannian Quantities from Noisy Data via Density Derivatives
Junhao Chen, Ruowei Li, Zhigang Yao
We study the recovery of geometric structure from data generated by convolving the uniform measure on a smooth compact submanifold with ambient Gaussian nois…
Beyond Missing Data: Questionnaire Uncertainty Responses as Early Digital Biomarkers of Cognitive Decline and Neurodegenerative Diseases
Yukun Lu, Bingjie Li, Zhigang Yao
Identifying preclinical biomarkers of neurodegenerative diseases remains a major challenge in aging research. In this study, we demonstrate that frequent "Don't know/can't remember…
Routine Blood Biomarkers Reveal a Preclinical Continuum of Multiple Myeloma Risk
Bingjie Li, Jiadai Xu, Yiqing Sun +4
Multiple myeloma (MM) is preceded by a long preclinical phase spanning decades, yet scalable, non-specialist tools to identify individuals at elevated risk before end-organ damage…
Enhanced High-Dimensional Data Visualization through Adaptive Multi-Scale Manifold Embedding
Tianhao Ni, Bingjie Li, Zhigang Yao
To address the dual challenges of the curse of dimensionality and the difficulty in separating intra-cluster and inter-cluster structures in high-dimensional manifold embedding, we…
Principal Decomposition with Nested Submanifolds
Jiaji Su, Zhigang Yao
Over the past decades, the increasing dimensionality of data has increased the need for effective data decomposition methods. Existing approaches, however, often rely on linear mod…