Search Results for author: Xiucai Ding

Found 4 papers, 0 papers with code

Learning Low-Dimensional Nonlinear Structures from High-Dimensional Noisy Data: An Integral Operator Approach

no code implementations28 Feb 2022 Xiucai Ding, Rong Ma

We propose a kernel-spectral embedding algorithm for learning low-dimensional nonlinear structures from high-dimensional and noisy observations, where the datasets are assumed to be sampled from an intrinsically low-dimensional manifold and corrupted by high-dimensional noise.

Data Visualization

How do kernel-based sensor fusion algorithms behave under high dimensional noise?

no code implementations22 Nov 2021 Xiucai Ding, Hau-Tieng Wu

It turns out that both the asymptotic limits and convergence rates depend on the signal-to-noise ratio (SNR) of each sensor and selected bandwidths.

Sensor Fusion

Impact of signal-to-noise ratio and bandwidth on graph Laplacian spectrum from high-dimensional noisy point cloud

no code implementations21 Nov 2020 Xiucai Ding, Hau-Tieng Wu

We systematically study the spectrum of kernel-based graph Laplacian (GL) constructed from high-dimensional and noisy random point cloud in the nonnull setup.

Modified Multidimensional Scaling and High Dimensional Clustering

no code implementations24 Oct 2018 Xiucai Ding, Qiang Sun

Multidimensional scaling is an important dimension reduction tool in statistics and machine learning.

Clustering Dimensionality Reduction +1

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