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README.md

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# dd2434-project
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Project in DD2434 Machine Learning Advance Course, Winter 2016
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Project in [DD2434 Machine Learning Advance Course](http://www.kth.se/student/kurser/kurs/DD2434?l=en), Winter 2016.
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## What did we do?
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We reproduced the experiments presented in the paper [Kernel PCA and De-noising in Feature Spaces](docs/paper.pdf) by Sebastian Mika, Bernhard Schölkopf, Alex Smola Klaus-Robert Müller, Matthias Scholz and Gunnar Rätsch. In this regard, you can read our [report](docs/report.pdf) and our [presentation](docs/presentation.pdf)
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We reproduced the experiments presented in the paper [Kernel PCA and De-noising in Feature Spaces](docs/paper.pdf) by Sebastian Mika, Bernhard Schölkopf, Alex Smola Klaus-Robert Müller, Matthias Scholz and Gunnar Rätsch. In this regard, you can read our [report](docs/report.pdf) and our [presentation](docs/presentation.pdf).
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## Dependencies
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* Toy example: De-noising
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* Digit denoising (USPS Dataset)
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The file [our_kpca.py](our_kpca.py) is our own implementation of the kPCA method, based on the paper approach.
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The file [our_kpca.py](our_kpca.py) contains our own implementation of the kPCA method, based on the paper approach.
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### Toy example: 11 Gaussians
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The code related to this example can be found in [example1.py](example1.py).
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python3 example1.py
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```
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By default, you should obtain the results (kPCA MSE, PCA PCA and their ratio) for 45 different settings of sigma.
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By default, this script outputs the kPCA MSE, PCA MSE and their ratio for 45 different settings of sigma.
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python3 example2.py
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```
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Once the execution has ended, a picture as follows should be displayed.
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Once the execution has ended, a picture as follows will be displayed.
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![alt text](files/figure_1.png)
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