10–14 Sept 2023
Europe/Madrid timezone

Maximum Covariance Unfolding Regression: A Novel Covariate-Based Manifold Learning Approach for Point Cloud Data

12 Sept 2023, 11:35
30m
2.7/2.8

2.7/2.8

Other/special session/invited session INVITED QSR-INFORMS

Speaker

Kamran Paynabar (School of Industrial and Systems Engineering)

Description

Point cloud data are widely used in manufacturing applications for process inspection, modeling, monitoring and optimization. The state-of-art tensor regression techniques have effectively been used for analysis of structured point cloud data, where the measurements on a uniform grid can be formed into a tensor. However, these techniques are not capable of handling unstructured point cloud data that are often in the form of manifolds. In this paper, we propose a nonlinear dimension reduction approach named Maximum Covariance Unfolding Regression that is able to learn the low-dimensional (LD) manifold of point clouds with the highest correlation with explanatory covariates. This LD manifold is then used for regression modeling and process optimization based on process variables. The performance of the proposed method is subsequently evaluated and compared with benchmark methods through simulations and a case study of steel bracket manufacturing.

Classification Both methodology and application
Keywords High-dimensional Data; Point Clouds; Process Modeling and Optimization; Manifold Learning; Maximum Covariance Unfolding

Primary authors

Kamran Paynabar (School of Industrial and Systems Engineering) Dr Qian Wang (Wells Fargo)

Presentation materials

There are no materials yet.