Local Adaptive Subspace Regression Export

@article{Vijayakumar_98, abstract = {Incremental learning of sensorimotor transformations in high dimensional spaces is one of the basic prerequisites for the success of autonomous robot devices as well as biological movement systems. So far, due to sparsity of data in high dimensional spaces, learning in such settings required a significant amount of prior knowledge about the learning task, usually provided by a human expert. In this paper we suggest a partial revision of the view. Based on empirical studies, we observed that, despite being globally high dimensional and sparse, data distributions from physical movement systems are locally low dimensional and dense. Under this assumption, we derive a learning algorithm, Locally Adaptive Subspace Regression, that exploits this property by combining a dynamically growing local dimensionality reduction technique as a preprocessing step with a nonparametric learning technique, locally weighted regression, that also learns the region of validity of the regression. The usefulness of the algorithm and the validity of its assumptions are illustrated for a synthetic data set, and for data of the inverse dynamics of human arm movements and an actual 7 degree-of-freedom anthropomorphic robot arm.}, author = {Vijayakumar, S. and Schaal, S.}, citeulike-article-id = {6067364}, citeulike-linkout-0 = {http://dx.doi.org/10.1023/A:1009696221209}, citeulike-linkout-1 = {http://www.springerlink.com/content/xr005q7446677880}, day = {1}, doi = {10.1023/A:1009696221209}, journal = {Neural Processing Letters}, keywords = {learning, lwpr}, month = {June}, number = {3}, pages = {139--149}, posted-at = {2009-11-04 11:17:07}, priority = {2}, title = {Local Adaptive Subspace Regression}, url = {http://dx.doi.org/10.1023/A:1009696221209}, volume = {7}, year = {1998} }

TY - JOUR ID - Vijayakumar_98 L3 - citeulike-article-id:6067364 N2 - Incremental learning of sensorimotor transformations in high dimensional spaces is one of the basic prerequisites for the success of autonomous robot devices as well as biological movement systems. So far, due to sparsity of data in high dimensional spaces, learning in such settings required a significant amount of prior knowledge about the learning task, usually provided by a human expert. In this paper we suggest a partial revision of the view. Based on empirical studies, we observed that, despite being globally high dimensional and sparse, data distributions from physical movement systems are locally low dimensional and dense. Under this assumption, we derive a learning algorithm, Locally Adaptive Subspace Regression, that exploits this property by combining a dynamically growing local dimensionality reduction technique as a preprocessing step with a nonparametric learning technique, locally weighted regression, that also learns the region of validity of the regression. The usefulness of the algorithm and the validity of its assumptions are illustrated for a synthetic data set, and for data of the inverse dynamics of human arm movements and an actual 7 degree-of-freedom anthropomorphic robot arm. IS - 3 JF - Neural Processing Letters EP - 149 TI - Local Adaptive Subspace Regression VL - 7 SP - 139 KW - learning KW - lwpr AU - Vijayakumar, S AU - Schaal, S PY - 1998/06/01/ UR - http://dx.doi.org/10.1023/A:1009696221209 ER -