SVM can be used for classification (distinguishing between several groups or classes) and regression (obtaining a mathematical model to predict something). They can be applied to both linear and non linear problems.
Until 2006 they were the best general purpose algorithm for machine learning. I was trying to find a paper that compared many implementations of the most known algorithms: svm, neural nets, trees, etc. I couldn't find it sorry (you will have to believe me, bad thing). In the paper the algorithm that got the best performance was svm, with the library libsvm.
In 2006 Hinton came up with deep learning and neural nets. He improved the current state of the art by at least 30%, which is a huge advancement. However deep learning only get good performance for huge training sets. If you have a small training set I would suggest to use svm.
Furthermore you can find here a useful infographic about when to use different machine learning algorithms by scikit-learn. However, to the best of my knowledge there is no agreement among the scientific community about if a problem has X,Y and Z features then it's better to use svm. I would suggest to try different methods. Also, please don't forget that svm or neural nets is just a method to compute a model. It is very important as well the features you use.
supervised learningtag, as SVM's can also be used in unsupervised learning problems. – Dawny33 Jan 11 '16 at 07:48exception, you mean that it is just a tweak and not the convention, right? – Dawny33 Jan 12 '16 at 08:40supervised learninglabel is very much appropriate for a post on SVM and theunsupervised learninglabel is an outlier (I guess we could data mine 1000 publications and test this rigorously :-). Thanks for adding it back and thanks for your contributions to the site! – AN6U5 Jan 12 '16 at 14:49