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Optimization and nonsmooth analysis
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TLDR
The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.Abstract:
1. Introduction and Preview 2. Generalized Gradients 3. Differential Inclusions 4. The Calculus of Variations 5. Optimal Control 6. Mathematical Programming 7. Topics in Analysis.read more
Citations
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Journal ArticleDOI
Almost periodic dynamics of a class of delayed neural networks with discontinuous activations
Wenlian Lu,Tianping Chen +1 more
TL;DR: From the proof of the existence and uniqueness of the solution, it is proved that the solution of a delayed dynamical system with high-slope activations approximates to the Filippov solution of the dynamicals system with discontinuous activations.
Journal ArticleDOI
Optimal Control Applied to Competing Chemotherapeutic Cell-Kill Strategies
John C. Panetta,K. Renee Fister +1 more
TL;DR: This work investigates the qualitative differences between three different cell-kill models: log- kill hypo, log-kill hypo and log-killing hypo.
Proceedings Article
Practical Bayesian optimization for model fitting with Bayesian adaptive direct search
Luigi Acerbi,Wei Ji Ma +1 more
TL;DR: In this paper, a hybrid Bayesian adaptive direct search (BADS) algorithm is proposed to solve model fitting problems in computational neuroscience, which achieves competitive performance with an affordable computational overhead for running time of typical models.
Proceedings ArticleDOI
A Leader-based Containment Control Strategy for Multiple Unicycles
TL;DR: It is shown that in a leader based containment control strategy for multiple unicycle agents, the followers converge to the same velocities and orientations as the leaders, with the same control law that was used for the followers in the initial containment control problem.