Locally Weighted Regression for Control

Learning control refers to the process of acquiring a control strategy for a particular control system and a particular task by trial and error. It is usually distinguished from adaptive control [1] in that the learning system is permitted to fail during the process of learning, resembling how humans and animals acquire new movement strategies. In contrast, adaptive control emphasizes single trial convergence without failure, fulfilling stringent performance constraints, e.g., as needed in life-critical systems like airplanes and industrial robots.

[1]  B. Pasik-Duncan,et al.  Adaptive Control , 1996, IEEE Control Systems.

[2]  Stefan Schaal,et al.  Incremental Online Learning in High Dimensions , 2005, Neural Computation.

[3]  Andrew W. Moore,et al.  Locally Weighted Learning , 1997, Artificial Intelligence Review.

[4]  E. Todorov,et al.  A generalized iterative LQG method for locally-optimal feedback control of constrained nonlinear stochastic systems , 2005, Proceedings of the 2005, American Control Conference, 2005..

[5]  Christopher G. Atkeson,et al.  Constructive Incremental Learning from Only Local Information , 1998, Neural Computation.

[6]  Stefan Schaal,et al.  Bayesian Kernel Shaping for Learning Control , 2008, NIPS.

[7]  Stefan Schaal,et al.  Bayesian methods for autonomous learning systems , 2009 .

[8]  Sethu Vijayakumar,et al.  Adaptive Optimal Control for Redundantly Actuated Arms , 2008, SAB.

[9]  T. Hastie,et al.  Local Regression: Automatic Kernel Carpentry , 1993 .

[10]  W. Cleveland Robust Locally Weighted Regression and Smoothing Scatterplots , 1979 .

[11]  Stefan Schaal,et al.  A Library for Locally Weighted Projection Regression , 2008, J. Mach. Learn. Res..

[12]  Duy Nguyen-Tuong,et al.  Local Gaussian Process Regression for Real Time Online Model Learning , 2008, NIPS.

[13]  Robert A. Jacobs,et al.  Hierarchical Mixtures of Experts and the EM Algorithm , 1993, Neural Computation.

[14]  Christopher G. Atkeson,et al.  Using Local Models to Control Movement , 1989, NIPS.