Subspace Learning Machine (SLM): Methodology and Performance
This work proposes a new machine learning model for classification and regression, but it appears incremental as it builds upon existing methods like decision trees and ELMs without addressing a specific high-impact bottleneck.
The authors introduced the Subspace Learning Machine (SLM), a classification model combining elements of feedforward MLPs, decision trees, and extreme learning machines to tackle classification problems, achieving competitive performance in extensive benchmarking experiments. They also extended it to regression as SLR and demonstrated that ensembles of these trees yield stronger predictors.
Inspired by the feedforward multilayer perceptron (FF-MLP), decision tree (DT) and extreme learning machine (ELM), a new classification model, called the subspace learning machine (SLM), is proposed in this work. SLM first identifies a discriminant subspace, $S^0$, by examining the discriminant power of each input feature. Then, it uses probabilistic projections of features in $S^0$ to yield 1D subspaces and finds the optimal partition for each of them. This is equivalent to partitioning $S^0$ with hyperplanes. A criterion is developed to choose the best $q$ partitions that yield $2q$ partitioned subspaces among them. We assign $S^0$ to the root node of a decision tree and the intersections of $2q$ subspaces to its child nodes of depth one. The partitioning process is recursively applied at each child node to build an SLM tree. When the samples at a child node are sufficiently pure, the partitioning process stops and each leaf node makes a prediction. The idea can be generalized to regression, leading to the subspace learning regressor (SLR). Furthermore, ensembles of SLM/SLR trees can yield a stronger predictor. Extensive experiments are conducted for performance benchmarking among SLM/SLR trees, ensembles and classical classifiers/regressors.