A Discussion on Variational Analysis in Derivative-Free Optimization
Sign Up to like & getrecommendations! Published in 2020 at "Set-valued and Variational Analysis"
DOI: 10.1007/s11228-020-00556-y
Abstract: Variational Analysis studies mathematical objects under small variations. With regards to optimization, these objects are typified by representations of first-order or second-order information (gradients, subgradients, Hessians, etc). On the other hand, Derivative-Free Optimization studies algorithms… read more here.
Keywords: free optimization; discussion variational; variational analysis; derivative free ... See more keywords
Second order variational analysis of disjunctive constraint sets and its applications to optimization problems
Sign Up to like & getrecommendations! Published in 2021 at "Optimization Letters"
DOI: 10.1007/s11590-020-01681-1
Abstract: In this paper, we examine the properly twice epi-differentiability and compute the second order epi-subderivative of the indicator function to a class of sets including the finite union of parabolically derivable and parabolically regular sets.… read more here.
Keywords: order; second order; order variational; analysis disjunctive ... See more keywords
Release estimation of pollutants in river by the variational analysis approach.
Sign Up to like & getrecommendations! Published in 2022 at "Journal of contaminant hydrology"
DOI: 10.1016/j.jconhyd.2022.103999
Abstract: After accidental release of pollutants in rivers, the release estimation of the pollutant is necessary for the dealing of this accident. With the increase of people's attention to river pollution, the monitoring data of river… read more here.
Keywords: release; release estimation; river pollution; variational analysis ... See more keywords
Variational analysis of driven-dissipative bosonic fields
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DOI: 10.1103/physreva.104.063711
Abstract: We present a method to perform a variational analysis of the quantum master equation for driven-disspative bosonic fields with arbitrary large occupation numbers. Our approach combines the P representation of the density matrix and the… read more here.
Keywords: driven dissipative; variational analysis; dissipative bosonic; bosonic fields ... See more keywords