4 papers
Functional Estimation of Manifold-Valued Diffusion Processes
Jacob McErlean, Hau-Tieng Wu
Nonstationary high-dimensional time series are increasingly encountered in biomedical research as measurement technologies advance. Owing to the homeostatic nature of physiological…
Accelerate Vector Diffusion Maps by Landmarks
Sing-Yuan Yeh, Yi-An Wu, Hau-Tieng Wu +1
We propose a landmark-constrained algorithm, LA-VDM (Landmark Accelerated Vector Diffusion Maps), to accelerate the Vector Diffusion Maps (VDM) framework built upon the Graph Conne…
Generalized Robust Adaptive-Bandwidth Multi-View Manifold Learning in High Dimensions with Noise
Xiucai Ding, Chao Shen, Hau-Tieng Wu
Multiview datasets are common in scientific and engineering applications, yet existing fusion methods offer limited theoretical guarantees, particularly in the presence of heteroge…
Connecting Dots -- from Local Covariance to Empirical Intrinsic Geometry and Locally Linear Embedding
John Malik, Chao Shen, Hau-Tieng Wu +1
Local covariance structure under the manifold setup has been widely applied in the machine learning society. Based on the established theoretical results, we provide an extensive s…