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#statistics | ||
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Applies [[PCA]] to reduce data dimensionality and then [[Logistic Regression]] to classify data. | ||
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Pros: | ||
- easy, robust, flexible | ||
Cons: | ||
- usually not the best classifier for chemical data |
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#statistics | ||
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**Principal Component Analysis** is a statistical technique used to reduce the dimensionality of data while retaining the maximum possible covariance. | ||
**Principal Component Analysis** is a statistical technique used to reduce the dimensionality of data while retaining the maximum possible covariance. | ||
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Correlation between components indicates that those components are not orthogonal. By re-projecting data onto a lower number of orthogonal axes (therefore with no correlation), PCA allows to use the minimum possible amount of axes to explain the data, with the catch that those new axes will often not bear any resemblance to the original axes. |
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#statistics | ||
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**Support Vector Machines** is a statistical classification algorithm that provides binary classification through a hyperplane that maximises the margin of separation. | ||
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The _support vectors_ are the data points closest to the hyperplane, which have the highest influence on its position. | ||
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SVM forces the data to be linearly separable by re-projecting it onto a higher-dimension space until linear separability through a hyperplane is achievable. |
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#statistics #todo | ||
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- [ ] PCA-QDA | ||
- [ ] QDA | ||
- [ ] PLSDA | ||
- [ ] PCA-LDA | ||
- [ ] LDA |
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#statistics | ||
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**k-Nearest-Neighbors** is a classification technique that classifies new data points based on the class of the closest data sample in the reference dataset. | ||
**k-Nearest-Neighbors** is a classification technique that classifies new data points based on the class of the closest data sample in the reference dataset. | ||
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It's a non-parametric technique that doesn't assume any distribution and does not require training. However, it's highly sensitive to outliers and wrongly classified points in the reference data. |