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| Content Provider | Springer Nature Link |
|---|---|
| Author | Böhmer, Wendelin Grünewälder, Steffen Nickisch, Hannes Obermayer, Klaus |
| Copyright Year | 2012 |
| Abstract | Without non-linear basis functions many problems can not be solved by linear algorithms. This article proposes a method to automatically construct such basis functions with slow feature analysis (SFA). Non-linear optimization of this unsupervised learning method generates an orthogonal basis on the unknown latent space for a given time series. In contrast to methods like PCA, SFA is thus well suited for techniques that make direct use of the latent space. Real-world time series can be complex, and current SFA algorithms are either not powerful enough or tend to over-fit. We make use of the kernel trick in combination with sparsification to develop a kernelized SFA algorithm which provides a powerful function class for large data sets. Sparsity is achieved by a novel matching pursuit approach that can be applied to other tasks as well. For small data sets, however, the kernel SFA approach leads to over-fitting and numerical instabilities. To enforce a stable solution, we introduce regularization to the SFA objective. We hypothesize that our algorithm generates a feature space that resembles a Fourier basis in the unknown space of latent variables underlying a given real-world time series. We evaluate this hypothesis at the example of a vowel classification task in comparison to sparse kernel PCA. Our results show excellent classification accuracy and demonstrate the superiority of kernel SFA over kernel PCA in encoding latent variables. |
| Starting Page | 67 |
| Ending Page | 86 |
| Page Count | 20 |
| File Format | |
| ISSN | 08856125 |
| Journal | Machine Learning |
| Volume Number | 89 |
| Issue Number | 1-2 |
| e-ISSN | 15730565 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2012-06-13 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Time series Latent variables Unsupervised learning Slow feature analysis Sparse kernel methods Linear classification Language Translation and Linguistics Control, Robotics, Mechatronics Computing Methodologies Artificial Intelligence (incl. Robotics) Simulation and Modeling |
| Content Type | Text |
| Resource Type | Article |
| Subject | Artificial Intelligence Software |
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