Support Vector Machine (SVM) Regression System

A Support Vector Machine (SVM) Regression System is a SVM System that is a Supervised Regression System.

• AKA: Support Vector Regression System.
• Example(s):
  • A sklearn.svm Regresssion System such as:
    • sklearn.svm.LinearSVR;
    • sklearn.svm.NuSVR;
    • sklearn.svm.SVR.
  • …
• Counter-Example(s):
  • an SVM Ranking System.
  • an SVM Classification System.
• See: Neural Network System, Regression System, Supervised Machine Learning System.

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References

2018

• (Wikipedia, 2018) ⇒ https://en.wikipedia.org/wiki/Support_vector_machine Retrieved:2018-4-8.
  • In machine learning, support vector machines (SVMs, also support vector networks) are supervised learning models with associated learning algorithms that analyze data used for classification and regression analysis. Given a set of training examples, each marked as belonging to one or the other of two categories, an SVM training algorithm builds a model that assigns new examples to one category or the other, making it a non-probabilistic binary linear classifier (although methods such as Platt scaling exist to use SVM in a probabilistic classification setting). An SVM model is a representation of the examples as points in space, mapped so that the examples of the separate categories are divided by a clear gap that is as wide as possible. New examples are then mapped into that same space and predicted to belong to a category based on which side of the gap they fall.

    In addition to performing linear classification, SVMs can efficiently perform a non-linear classification using what is called the kernel trick, implicitly mapping their inputs into high-dimensional feature spaces.

    When data are not labeled, supervised learning is not possible, and an unsupervised learning approach is required, which attempts to find natural clustering of the data to groups, and then map new data to these formed groups. The support vector clustering algorithm created by Hava Siegelmann and Vladimir Vapnik, applies the statistics of support vectors, developed in the support vector machines algorithm, to categorize unlabeled data, and is one of the most widely used clustering algorithms in industrial applications.

2017

• (Zhang, 2017) ⇒ Zhang X. (2017) Support Vector Machines. In: Sammut, C., Webb, G.I. (eds) Encyclopedia of Machine Learning and Data Mining. Springer, Boston, MA
  • QUOTE: Support vector machines (SVMs) are a class of linear algorithms which can be used for classification, regression, density estimation, novelty detection, etc. In the simplest case of two-class classification, SVMs find a hyperplane that separates the two classes of data with as wide a margin as possible. This leads to good generalization accuracy on unseen data and supports specialized optimization methods that allow SVM to learn from a large amount of data.

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