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Balancing Matrix Factorization via Gradient Flow Techniques and the Singular Value Decomposition *
| Content Provider | Semantic Scholar |
|---|---|
| Author | Perkinsl, J. E. Helmke, Uwe Moorel, J. B. |
| Copyright Year | 1996 |
| Abstract | ‘Ibis paper explores various gradient flows on ]nanifolds which converge exponentially to balanced matrix factorization, of which the singular value decomposition is the most well known. Such flows are initialized on trivial nonbalanced factorization. We look at flows f,-lrthe transformation matrix given an initial factorization, as well as flows on the matrix factors themselves. More general flows are given that allow the matrix being factorized to be parameter dependent. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://users.cecs.anu.edu.au/~john/papers/PROC/042.PDF |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
