Sparse Projection Oblique Randomer Forests

Fuente: arXiv
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Auteurs principaux: Tomita, Tyler M., Browne, James, Shen, Cencheng, Chung, Jaewon, Patsolic, Jesse L., Falk, Benjamin, Yim, Jason, Priebe, Carey E., Burns, Randal, Maggioni, Mauro, Vogelstein, Joshua T.
Format: Preprint
Publié: 2015
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author Tomita, Tyler M.
Browne, James
Shen, Cencheng
Chung, Jaewon
Patsolic, Jesse L.
Falk, Benjamin
Yim, Jason
Priebe, Carey E.
Burns, Randal
Maggioni, Mauro
Vogelstein, Joshua T.
author_facet Tomita, Tyler M.
Browne, James
Shen, Cencheng
Chung, Jaewon
Patsolic, Jesse L.
Falk, Benjamin
Yim, Jason
Priebe, Carey E.
Burns, Randal
Maggioni, Mauro
Vogelstein, Joshua T.
contents Decision forests, including Random Forests and Gradient Boosting Trees, have recently demonstrated state-of-the-art performance in a variety of machine learning settings. Decision forests are typically ensembles of axis-aligned decision trees; that is, trees that split only along feature dimensions. In contrast, many recent extensions to decision forests are based on axis-oblique splits. Unfortunately, these extensions forfeit one or more of the favorable properties of decision forests based on axis-aligned splits, such as robustness to many noise dimensions, interpretability, or computational efficiency. We introduce yet another decision forest, called "Sparse Projection Oblique Randomer Forests" (SPORF). SPORF uses very sparse random projections, i.e., linear combinations of a small subset of features. SPORF significantly improves accuracy over existing state-of-the-art algorithms on a standard benchmark suite for classification with >100 problems of varying dimension, sample size, and number of classes. To illustrate how SPORF addresses the limitations of both axis-aligned and existing oblique decision forest methods, we conduct extensive simulated experiments. SPORF typically yields improved performance over existing decision forests, while mitigating computational efficiency and scalability and maintaining interpretability. SPORF can easily be incorporated into other ensemble methods such as boosting to obtain potentially similar gains.
format Preprint
id arxiv_https___arxiv_org_abs_1506_03410
institution arXiv
publishDate 2015
record_format arxiv
spellingShingle Sparse Projection Oblique Randomer Forests
Tomita, Tyler M.
Browne, James
Shen, Cencheng
Chung, Jaewon
Patsolic, Jesse L.
Falk, Benjamin
Yim, Jason
Priebe, Carey E.
Burns, Randal
Maggioni, Mauro
Vogelstein, Joshua T.
Machine Learning
68T10
I.5.2
Decision forests, including Random Forests and Gradient Boosting Trees, have recently demonstrated state-of-the-art performance in a variety of machine learning settings. Decision forests are typically ensembles of axis-aligned decision trees; that is, trees that split only along feature dimensions. In contrast, many recent extensions to decision forests are based on axis-oblique splits. Unfortunately, these extensions forfeit one or more of the favorable properties of decision forests based on axis-aligned splits, such as robustness to many noise dimensions, interpretability, or computational efficiency. We introduce yet another decision forest, called "Sparse Projection Oblique Randomer Forests" (SPORF). SPORF uses very sparse random projections, i.e., linear combinations of a small subset of features. SPORF significantly improves accuracy over existing state-of-the-art algorithms on a standard benchmark suite for classification with >100 problems of varying dimension, sample size, and number of classes. To illustrate how SPORF addresses the limitations of both axis-aligned and existing oblique decision forest methods, we conduct extensive simulated experiments. SPORF typically yields improved performance over existing decision forests, while mitigating computational efficiency and scalability and maintaining interpretability. SPORF can easily be incorporated into other ensemble methods such as boosting to obtain potentially similar gains.
title Sparse Projection Oblique Randomer Forests
topic Machine Learning
68T10
I.5.2
url https://arxiv.org/abs/1506.03410