Divide-and-Conquer Subspace Segmentation
نویسندگان
چکیده
Several important computer vision tasks have recently been formulated as lowrank problems, with the Low-Rank Representation method (LRR) being one recent and prominent formulation. Although the method is framed as a convex program, available solutions to this program are inherently sequential and costly, thus limiting its scalability. In this work, we explore the effectiveness of a recently introduced divide-and-conquer framework, entitled DFC, in the context of LRR. We introduce the DFC-LRR algorithm as a scalable solution to the subspace segmentation problem, presenting results that illustrate the scalability and accuracy of DFC relative to LRR. We further present a detailed theoretical analysis that shows that the recovery guarantees of DFC-LRR are comparable to those of LRR.
منابع مشابه
Free Vibration Analysis of Repetitive Structures using Decomposition, and Divide-Conquer Methods
This paper consists of three sections. In the first section an efficient method is used for decomposition of the canonical matrices associated with repetitive structures. to this end, cylindrical coordinate system, as well as a special numbering scheme were employed. In the second section, divide and conquer method have been used for eigensolution of these structures, where the matrices are in ...
متن کاملDivide and Conquer: A Novel Approach to Segmentation and Model Building Using a Pattern-Oriented Clustering Approach
متن کامل
Divide and Conquer Low-rank Preconditioning Techniques
This paper presents a preconditioning method based on a recursive multilevel lowrank approximation approach. The basic idea is to recursively divide the problem into two and apply a low-rank approximation to a matrix obtained from the Sherman-Morrison formula. The low-rank approximation may be computed by the partial Singular Value Decomposition (SVD) or it can be approximated by the Lanczos bi...
متن کاملFour Skeletons and a Function
Four algorithmic skeletons for low-level image processing and intermediate-level computer vision are presented, related to a common divide and conquer higher order function. The parallel operation of each skeleton is described and their use in a complete parallel multisource image segmentation system is discussed.
متن کاملSpeaker diarization using divide-and-conquer
Speaker diarization systems usually consist of two core components: speaker segmentation and speaker clustering. The current state-of-the-art speaker diarization systems usually apply hierarchical agglomerative clustering (HAC) for speaker clustering after segmentation. However, HAC’s quadratic computational complexity with respect to the number of data samples inevitably limits its application...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1304.5583 شماره
صفحات -
تاریخ انتشار 2012