Bagging Regularizes

Intuitively, we expect that averaging --- or bagging --- different regressors with low correlation should smooth their behavior and be somewhat similar to regularization. In this note we make this intuition precise. Using an almost classical definition of stability, we prove that a certain form...

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Main Authors: Poggio, Tomaso, Rifkin, Ryan, Mukherjee, Sayan, Rakhlin, Alex
Language:en_US
Published: 2004
Subjects:
Online Access:http://hdl.handle.net/1721.1/7268
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author Poggio, Tomaso
Rifkin, Ryan
Mukherjee, Sayan
Rakhlin, Alex
author_facet Poggio, Tomaso
Rifkin, Ryan
Mukherjee, Sayan
Rakhlin, Alex
author_sort Poggio, Tomaso
collection MIT
description Intuitively, we expect that averaging --- or bagging --- different regressors with low correlation should smooth their behavior and be somewhat similar to regularization. In this note we make this intuition precise. Using an almost classical definition of stability, we prove that a certain form of averaging provides generalization bounds with a rate of convergence of the same order as Tikhonov regularization --- similar to fashionable RKHS-based learning algorithms.
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spelling mit-1721.1/72682019-04-15T00:40:26Z Bagging Regularizes Poggio, Tomaso Rifkin, Ryan Mukherjee, Sayan Rakhlin, Alex AI Bagging stability regularization Intuitively, we expect that averaging --- or bagging --- different regressors with low correlation should smooth their behavior and be somewhat similar to regularization. In this note we make this intuition precise. Using an almost classical definition of stability, we prove that a certain form of averaging provides generalization bounds with a rate of convergence of the same order as Tikhonov regularization --- similar to fashionable RKHS-based learning algorithms. 2004-10-20T21:04:57Z 2004-10-20T21:04:57Z 2002-03-01 AIM-2002-003 CBCL-214 http://hdl.handle.net/1721.1/7268 en_US AIM-2002-003 CBCL-214 7 p. 906324 bytes 285651 bytes application/postscript application/pdf application/postscript application/pdf
spellingShingle AI
Bagging
stability
regularization
Poggio, Tomaso
Rifkin, Ryan
Mukherjee, Sayan
Rakhlin, Alex
Bagging Regularizes
title Bagging Regularizes
title_full Bagging Regularizes
title_fullStr Bagging Regularizes
title_full_unstemmed Bagging Regularizes
title_short Bagging Regularizes
title_sort bagging regularizes
topic AI
Bagging
stability
regularization
url http://hdl.handle.net/1721.1/7268
work_keys_str_mv AT poggiotomaso baggingregularizes
AT rifkinryan baggingregularizes
AT mukherjeesayan baggingregularizes
AT rakhlinalex baggingregularizes