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Comparative performance analysis of some accelerated and hybrid accelerated gradient models
(naslov ne postoji na srpskom)
Univerzitet u Prištini sa privremenim sedištem u Kosovskoj Mitrovici, Prirodno-matematički fakultet

e-adresamilena.petrovic@pr.ac.rs
Sažetak
(ne postoji na srpskom)
We analyze a performance profile of several accelerated and hybrid accelerated methods. All comparative methods are at least linearly convergent and have satisfied numerical characteristics regarding tested metrics: number of iterations, CPU time and number of function evaluations. Among the chosen set of methods we numerically show which one is the most efficient and the most effective. Therewith, we derived a conclusion about what type of method is more preferable to use considering analyzed metrics.
Reference
Andrei, N. (2008) An unconstrained optimization test functions collection. Advanced Modeling and Optimization, 10 (1), pp. 147-161
Andrei, N. (2006) An acceleration of gradient descent algorithm with backtracking for unconstrained optimization. Numerical Algorithms, 42(1), pp. 63-73: doi: 10.1007/s11075-006-9023-9
Khan, S. (2013) A Picard-Mann hybrid iterative process. Fixed Point Theory and Applications, 2013(1): 69-69
Panić, S., Petrović, M., Carević, M. (2018) Initial Improvement of the Hybrid Accelerated Gradient Descent Process. Bulletin of the Australian Mathematical Society, 98(02): 331-338
Petrović, M., Rakočević, V., Kontrec, N., Panić, S., Ilić, D. (2017) Hybridization of accelearted gradient descent method. Numerical Algorithms, 79(3): 769-786
Petrović, M., Stanimirović, P. (2014) Accelerated gradient descent methods with line search. Numerical Algorithms, 54(4): 503-520
Petrović, M., Kontrec, N., Panić, S. (2017) Determination of accelerated factors in gradient descent iterations based on Taylor's series. University Thought - Publication in Natural Sciences, vol. 7, br. 1, str. 41-45
Petrović, M.J. (2015) An Accelerated Double Step Size model in unconstrained optimization. Applied Mathematics and Computation, 250: 309-319
Picard, E. (1890) Memoire sur la theorie des equations aux derivees partielles et la methode des approximations successives. J. Math. Pures Appl, 6: 145-210
Stanimirović, P.S., Miladinović, M.B. (2010) Accelerated gradient descent methods with line search. Numerical Algorithms, 54(4): 503-520
 

O članku

jezik rada: engleski
vrsta rada: izvorni naučni članak
DOI: 10.5937/univtho9-18174
objavljen u SCIndeksu: 02.08.2019.
metod recenzije: dvostruko anoniman
Creative Commons License 4.0

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