534 citations · 2k across the 96 of their papers we have counts for
8 papers · 1 filter
Vector Nonlocal Euclidean Median: Principal Bundle Captures The Nature of Patch Space
Chen-Yun Lin, Arin Minasian, Xin Jessica Qi +1
We extensively study the rotational group structure inside the patch space by introducing the fiber bundle structure. The rotational group structure leads to a new image denoising…
Sleep Apnea Detection Based on Thoracic and Abdominal Movement Signals of Wearable Piezo-Electric Bands
Yin-Yan Lin, Hau-tieng Wu, Chi-An Hsu +3
Physiologically, the thoracic (THO) and abdominal (ABD) movement signals, captured using wearable piezo-electric bands, provide information about various types of apnea, including…
Extract fetal ECG from single-lead abdominal ECG by de-shape short time Fourier transform and nonlocal median
Su Li, Hau-tieng Wu
The multiple fundamental frequency detection problem and the source separation problem from a single-channel signal containing multiple oscillatory components and a nonstationary n…
Minimum-latency Time-frequency Analysis Using Asymmetric Window Functions
Li Su, Hau-tieng Wu
We study the real-time dynamics retrieval from a time series via the time-frequency (TF) analysis with the minimal latency guarantee. While different from the well-known intrinsic…
Carrier frequencies, holomorphy and unwinding
Ronald R. Coifman, Stefan Steinerberger, Hau-tieng Wu
We prove that functions of intrinsic-mode type (a classical models for signals) behave essentially like holomorphic functions: adding a pure carrier frequency ensures tha…
Wave-shape function analysis -- when cepstrum meets time-frequency analysis
Chen-Yun Lin, Li Su, Hau-tieng Wu
We propose to combine cepstrum and nonlinear time-frequency (TF) analysis to study mutiple component oscillatory signals with time-varying frequency and amplitude and with time-var…
Embeddings of Riemannian Manifolds with Finite Eigenvector Fields of Connection Laplacian
Chen-Yun Lin, Hau-Tieng Wu
We study the problem asking if one can embed manifolds into finite dimensional Euclidean spaces by taking finite number of eigenvector fields of the connection Laplacian. This prob…
Latent common manifold learning with alternating diffusion: analysis and applications
Ronen Talmon, Hau-tieng Wu
The analysis of data sets arising from multiple sensors has drawn significant research attention over the years. Traditional methods, including kernel-based methods, are typically…