Xia Hong, Sheng Chen, Yi Guo and Junbin Gao Department of Computer Science, School of Mathematical, Physical and Computational Sciences, University of Reading, Reading, UK; Electronics and Computer Science, University of Southampton, Southampton, UK; Department of Electrical and Comptuer Engineering , Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia; CSIRO Mathematics and...

In this paper, we introduce a new online algorithm for orthogonal regression. The method is constructed via a stochastic gradient descent approach combined with the idea of a tube loss function, which is similar to the one used in support vector (SV) regression. The algorithm can be used in primal or in dual variables. The latter formulation allows the introduction of kernels and soft margins. ...

This paper proposes a new method, called linear grouping algorithm (LGA), to detect different linear structures in a data set. LGA is useful for investigating potential linear patterns in datasets, that is, subsets that follow different linear relationships. LGA combines ideas from principal components, clustering methods and resampling algorithms. It can detect several different linear relatio...