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Toward Designing Intelligent PDEs for Computer Vision: An Optimal Control Approach
Risheng Liu, Zhouchen Lin, Wei Zhang +2
Many computer vision and image processing problems can be posed as solving partial differential equations (PDEs). However, designing PDE system usually requires high mathematical s…
Linearized Alternating Direction Method with Adaptive Penalty for Low-Rank Representation
Zhouchen Lin, Risheng Liu, Zhixun Su
Low-rank representation (LRR) is an effective method for subspace clustering and has found wide applications in computer vision and machine learning. The existing LRR solver is bas…
Solving Principal Component Pursuit in Linear Time via Filtering
Risheng Liu, Zhouchen Lin, Siming Wei +1
In the past decades, exactly recovering the intrinsic data structure from corrupted observations, which is known as robust principal component analysis (RPCA), has attracted tremen…
Some Software Packages for Partial SVD Computation
Zhouchen Lin
This technical report introduces some software packages for partial SVD computation, including optimized PROPACK, modified PROPACK for computing singular values above a threshold a…
Analysis and Improvement of Low Rank Representation for Subspace segmentation
Wei Siming, Lin Zhouchen
We analyze and improve low rank representation (LRR), the state-of-the-art algorithm for subspace segmentation of data. We prove that for the noiseless case, the optimization model…