IMFIL

Implicit filtering is a way to solve bound-constrained optimization problems for which derivative information is not available. Unlike methods that use interpolation to reconstruct the function and its higher derivatives, implicit filtering builds upon coordinate search and then interpolates to get an approximation of the gradient. Implicit Filtering describes the algorithm, its convergence theory and a new MATLAB implementation. It is unique for being the only book in the area of derivative-free or sampling methods to be accompanied by publicly available software. It includes an overview of recent results on optimization of noisy functions, including results that depend on non-smooth analysis and results on the handling of constraints. This book is for graduate students who want to learn about this technology, scientists and engineers who wish to apply the methods to their problems and specialists who will use the ideas and the software from this book in their own research.


References in zbMATH (referenced in 30 articles , 1 standard article )

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  1. Berahas, Albert S.; Byrd, Richard H.; Nocedal, Jorge: Derivative-free optimization of noisy functions via quasi-Newton methods (2019)
  2. Coope, Ian; Tappenden, Rachael: Efficient calculation of regular simplex gradients (2019)
  3. Gratton, S.; Royer, C. W.; Vicente, L. N.; Zhang, Z.: Direct search based on probabilistic feasible descent for bound and linearly constrained problems (2019)
  4. Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M.: Derivative-free optimization methods (2019)
  5. Chen, Xiaojun; Kelley, C. T.; Xu, Fengmin; Zhang, Zaikun: A smoothing direct search method for Monte Carlo-based bound constrained composite nonsmooth optimization (2018)
  6. Maggiar, Alvaro; Wächter, Andreas; Dolinskaya, Irina S.; Staum, Jeremy: A derivative-free trust-region algorithm for the optimization of functions smoothed via Gaussian convolution using adaptive multiple importance sampling (2018)
  7. Ribeiro, Ademir A.; Sachine, Mael; Santos, Sandra A.: On the approximate solutions of augmented subproblems within sequential methods for nonlinear programming (2018)
  8. Loreto, Milagros; Aponte, Hugo; Cores, Debora; Raydan, Marcos: Nonsmooth spectral gradient methods for unconstrained optimization (2017)
  9. Chen, Xiaojun; Kelley, C. T.: Optimization with hidden constraints and embedded Monte Carlo computations (2016)
  10. Regis, Rommel G.: On the properties of positive spanning sets and positive bases (2016)
  11. Stich, S. U.; Müller, C. L.; Gärtner, B.: Variable metric random pursuit (2016)
  12. Grippo, L.; Rinaldi, F.: A class of derivative-free nonmonotone optimization algorithms employing coordinate rotations and gradient approximations (2015)
  13. Regis, Rommel G.: The calculus of simplex gradients (2015)
  14. Cornelio, Anastasia; Piccolomini, Elena Loli; Nagy, James G.: Constrained numerical optimization methods for blind deconvolution (2014)
  15. Ganapathy, Kanthaswamy; Jerome, Jovitha: Control of dead-time systems using derivative free local search guided population based incremental learning algorithms (2014)
  16. Do, Sy T.; Reynolds, Albert C.: Theoretical connections between optimization algorithms based on an approximate gradient (2013)
  17. Hare, W.; Nutini, J.: A derivative-free approximate gradient sampling algorithm for finite minimax problems (2013)
  18. Olufsen, Mette S.; Ottesen, Johnny T.: A practical approach to parameter estimation applied to model predicting heart rate regulation (2013)
  19. Rios, Luis Miguel; Sahinidis, Nikolaos V.: Derivative-free optimization: a review of algorithms and comparison of software implementations (2013)
  20. Hagstrom, Thomas: High-order radiation boundary conditions for stratified media and curvilinear coordinates (2012)

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