Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation, and Perspectives - Rilegato

Coralia Cartis (author); Nicholas I. M. Gould (author)

 
9781611976984: Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation, and Perspectives
Rilegato
ISBN 10: 1611976987 ISBN 13: 9781611976984
Casa editrice: SIAM - Society for Industrial and Applied Mathematics, 2022

Sinossi

One of the most popular ways to assess the "effort" needed to solve a problem is to count how many evaluations of the problem functions (and their derivatives) are required. In many cases, this is often the dominating computational cost. Given an optimization problem satisfying reasonable assumptions―and given access to problem-function values and derivatives of various degrees―how many evaluations might be required to approximately solve the problem?

Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation, and Perspectives addresses this question for nonconvex optimization problems, those that may have local minimizers and appear most often in practice. This is the first book

  • on complexity to cover topics such as composite and constrained optimization, derivative-free optimization, subproblem solution, and optimal (lower and sharpness) bounds for nonconvex problems,
  • to address the disadvantages of traditional optimality measures and propose useful surrogates leading to algorithms that compute approximate high-order critical points, and
  • to compare traditional and new methods, highlighting the advantages of the latter from a complexity point of view.
This is the go-to book for those interested in solving nonconvex problems. It is suitable for advanced undergraduate and graduate students in courses on Advanced Numerical Analysis, Special Topics on Numerical Analysis, Topics on Data Science, Topics on Numerical Optimization, and Topics on Approximation Theory.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
SIAM - Society for Industrial and Applied Mathematics
Data di pubblicazione
2022
Lingua
Inglese
ISBN 10 
1611976987
ISBN 13 
9781611976984
Rilegatura
Copertina rigida
Numero di pagine
529
Contatto del produttore
non disponibile
Persona responsabile
non disponibile