I know one successful attempt one-class SVM but I'm rather interested in neural approaches over the problem like reconstruction networks or other fundamental neural methods. Are there any other functional examples?
OCSVM or One Class SVM is the good choice for your problem.
I've experienced good results with OCSVM for anomaly detection. In my case I had only positive data for training.
For working in a production environment I strongly recommend lib library instead of libsvm.
libsvm is poor spaghetti code and not thread safe.
See :http://dlib.net/ml.html
The only problem for finding best parameters in SVM is cross-validation which is not supported for one-class. The only way I can recommend is brute-force.