Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, November 13, 2012, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Francisco Valero-Cuevas (University of Southern California)

Applications of vertex enumeration to understanding the neural control of musculature

Researchers who study the neural control of musculature have often used linear or quadratic cost functions to resolve redundancies. I pioneered the use of vertex enumeration methods to find the solution space to a given task (thanks to the algorithms by Avis and Fukuda), which has the distinct advantage of eliminating the arbitrary choice of cost functions. It also describes the control options available to the nervous systems more clearly than single-line-search algorithms. An important consequence is that this resolves the apparent paradox of muscle redundancy, which has often been called the central problem of neural control. I conclude by pointing to new directions to extend current algorithms to address important problems in the neural control of musculature.

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