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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Yinjie Huang Georgiopoulos, M. Anagnostopoulos, G.C. |
| Copyright Year | 2011 |
| Description | Author affiliation: Department of EE & CS, University of Central Florida, Orlando, US (Yinjie Huang; Georgiopoulos, M.) || Electrical & Computer Engineering Department, Florida Institute of Technology, Melbourne, US (Anagnostopoulos, G.C.) |
| Abstract | The Sammon Mapping (SM) has established itself as a valuable tool in dimensionality reduction, manifold learning, exploratory data analysis and, particularly, in data visualization. The SM is capable of projecting high-dimensional data into a low-dimensional space, so that they can be visualized and interpreted. This is accomplished by representing inter-sample dissimilarities in the original space by Euclidean inter-sample distances in the projection space. Recently, Kernel Sammon Mapping (KSM) has been shown to subsume the SM and a few other related extensions to SM. Both of the aforementioned models feature a set of linear weights that are estimated via Iterative Majorization (IM). While IM is significantly faster than other standard gradient-based methods, tackling data sets of larger than moderate sizes becomes a challenging learning task, as IM's convergence significantly slows down with increasing data set cardinality. In this paper we derive two improved training algorithms based on Successive Over-Relaxation (SOR) and Parallel Tangents (PARTAN) acceleration, that, while still being first-order methods, exhibit faster convergence than IM. Both algorithms are relatively easy to understand, straightforward to implement and, performance-wise, are as robust as IM. We also present comparative results that illustrate their computational advantages on a set of benchmark problems. |
| Starting Page | 2952 |
| Ending Page | 2960 |
| File Size | 630921 |
| Page Count | 9 |
| File Format | |
| ISBN | 9781424496358 |
| ISSN | 21614407 |
| e-ISBN | 9781424496372 |
| DOI | 10.1109/IJCNN.2011.6033609 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-07-31 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Acceleration Stress Kernel Data visualization Convergence Training Prototypes |
| Content Type | Text |
| Resource Type | Article |
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