期刊
NEURAL COMPUTATION
卷 17, 期 5, 页码 1084-1108出版社
MIT PRESS
DOI: 10.1162/0899766053491887
关键词
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资金
- NINDS NIH HHS [R01 NS045915, R01-NS045915] Funding Source: Medline
Optimality principles of biological movement are conceptually appealing and straightforward to formulate. Testing them empirically, however, requires the solution to stochastic optimal control and estimation problems for reasonably realistic models of the motor task and the sensorimotor periphery. Recent studies have highlighted the importance of incorporating biologically plausible noise into such models. Here we extend the linear-quadratic-gaussian framework-currently the only framework where such problems can be solved efficiently-to include control-dependent, state-dependent, and internal noise. Under this extended noise model, we derive a coordinate-descent algorithm guaranteed to converge to a feedback control law and a nonaclaptive linear estimator optimal with respect to each other. Numerical simulations indicate that convergence is exponential, local minima do not exist, and the restriction to nonadaptive linear estimators has negligible effects in the control problems of interest. The application of the algorithm is illustrated in the context of reaching movements. A Matlab implementation is available at www.cogsci.ucsd.edu/similar to todorov.
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