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Some Software Packages for Partial SVD Computation

This technical report introduces some software packages for partial SVD computation, including optimized PROPACK, modified PROPACK for computing singular values above a threshold and the corresponding singular vectors, and block Lanczos with warm …

Analysis and Improvement of Low Rank Representation for Subspace segmentation

We analyze and improve low rank representation (LRR), the state-of-the-art algorithm for subspace segmentation of data.

A Block Lanczos with Warm Start Technique for Accelerating Nuclear Norm Minimization Algorithms

We propose using the block Lanczos method to compute the partial SVDs, where the principal singular subspaces obtained in the previous iteration are used to start the block Lanczos procedure.

The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrix

This paper proposes scalable and fast algorithms for solving the Robust PCA problem, namely recovering a low-rank matrix with an unknown fraction of its entries being arbitrarily corrupted.

Designing Partial Differential Equations for Image Processing by Combining Differential Invariants

We propose a framework for learning a system of PDEs from real data.

Fast Convex Optimization Algorithms for Exact Recovery of a Corrupted Low-Rank Matrix

This paper studies algorithms for solving the problem of recovering a low-rank matrix with a fraction of its entries arbitrarily corrupted.

Color Filter Arrays: A Design Methodology

Color Filter Arrays: Representation and Analysis

Learning Partial Differential Equations for Computer Vision

In this paper, we propose a framework for learning a system of PDEs from real data to accomplish a specific vision task.

One-Shot Approximate Local Shading

We proposed a novel approach to approximate an area light source with a point light source for each component of the shading model.