The Incremental Multiresolution Matrix Factorization Algorithm.

ABSTRACT: Multiresolution analysis and matrix factorization are foundational tools in computer vision. In this work, we study the interface between these two distinct topics and obtain techniques to uncover hierarchical block structure in symmetric matrices - an important aspect in the success of many vision problems. Our new algorithm, the incremental multiresolution matrix factorization, uncovers such structure one feature at a time, and hence scales well to large matrices. We describe how this multiscale analysis goes much farther than what a direct "global" factorization of the data can identify. We evaluate the efficacy of the resulting factorizations for relative leveraging within regression tasks using medical imaging data. We also use the factorization on representations learned by popular d

SUBMITTER: Ithapu VK 

PROVIDER: S-EPMC5798492 | biostudies-literature | 2017 Jul

REPOSITORIES: biostudies-literature