Detecting the direction of a signal on high-dimensional spheres: non-null and Le Cam optimality results
Sign Up to like & getrecommendations! Published in 2019 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-019-00937-x
Abstract: We consider one of the most important problems in directional statistics, namely the problem of testing the null hypothesis that the spike direction $${\pmb \theta }$$ θ of a Fisher–von Mises–Langevin distribution on the p… read more here.
Keywords: non null; direction; high dimensional; detecting direction ... See more keywords
On the Optimality of Tape Merge of Two Lists with Similar Size
Sign Up to like & getrecommendations! Published in 2020 at "Algorithmica"
DOI: 10.1007/s00453-020-00690-x
Abstract: The problem of merging sorted lists in the least number of pairwise comparisons has been solved completely only for a few special cases. Graham and Karp (Sorting Search 3:197–207, 1999) independently discovered that the tape… read more here.
Keywords: tape merge; optimality; size; two lists ... See more keywords
Optimality of Broken Extremals
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-018-9416-9
Abstract: In this paper, we analyse the optimality of broken Pontryagin extremal for an n-dimensional affine control system with a control parameter, taking values in a k-dimensional closed ball. We prove the optimality of broken normal… read more here.
Keywords: optimality broken; optimality; control; broken extremals ... See more keywords
Necessary optimality conditions for a nonsmooth semi-infinite programming problem
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00742-9
Abstract: The nonsmooth semi-infinite programming $$\left( {\textit{SIP}}\right) $$SIP is solved in the paper (Mishra et al. in J Glob Optim 53:285–296, 2012) using limiting subdifferentials. The necessary optimality condition obtained by the authors, as well as… read more here.
Keywords: semi infinite; infinite programming; nonsmooth semi; optimality conditions ... See more keywords
When the Karush–Kuhn–Tucker Theorem Fails: Constraint Qualifications and Higher-Order Optimality Conditions for Degenerate Optimization Problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-017-1121-4
Abstract: In this paper, we present higher-order analysis of necessary and sufficient optimality conditions for problems with inequality constraints. The paper addresses the case when the constraints are not assumed to be regular at a solution… read more here.
Keywords: optimality conditions; optimality; kuhn tucker; optimization ... See more keywords
Metric Regularity of Quasidifferentiable Mappings and Optimality Conditions for Nonsmooth Mathematical Programming Problems
Sign Up to like & getrecommendations! Published in 2019 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-019-00521-4
Abstract: This article is devoted to the analysis of necessary and/or sufficient conditions for metric regularity in terms of Demyanov-Rubinov-Polyakova quasidifferentials. We obtain new necessary and sufficient conditions for the local metric regularity of a multifunction… read more here.
Keywords: optimality conditions; optimality; programming problems; metric regularity ... See more keywords
The DTC (difference of tangentially convex functions) programming: optimality conditions
Sign Up to like & getrecommendations! Published in 2021 at "TOP"
DOI: 10.1007/s11750-021-00615-z
Abstract: We focus on optimality conditions for an important class of nonconvex and nonsmooth optimization problems, where the objective and constraint functions are presented as a difference of two tangentially convex functions. The main contribution of… read more here.
Keywords: optimality conditions; optimality; convex functions; tangentially convex ... See more keywords
Necessary Conditions of Optimality for a Time-Optimal Bi-level Sweeping Control Problem
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.338
Abstract: Abstract This article concerns a simple instance of an optimal control problem paradigm combining bi-level optimization with sweeping processes, initially investigated in Khalil and Lobo Pereira (2019). This class of problems arises, for instance, in… read more here.
Keywords: problem; level; time optimal; optimality ... See more keywords
Statistical analysis and optimality of neural systems
Sign Up to like & getrecommendations! Published in 2021 at "Neuron"
DOI: 10.1016/j.neuron.2021.01.020
Abstract: Normative theories and statistical inference provide complementary approaches for the study of biological systems. A normative theory postulates that organisms have adapted to efficiently solve essential tasks and proceeds to mathematically work out testable consequences… read more here.
Keywords: optimality; analysis optimality; statistical analysis; optimality neural ... See more keywords
Discarding optimality: Throwing out the baby with the bathwater?
Sign Up to like & getrecommendations! Published in 2018 at "Behavioral and Brain Sciences"
DOI: 10.1017/s0140525x18001401
Abstract: Abstract Rahnev & Denison (R&D) argue against normative theories and in favor of a more descriptive “standard observer model” of perceptual decision making. We agree with the authors in many respects, but we argue that… read more here.
Keywords: optimality; discarding optimality; baby bathwater; throwing baby ... See more keywords
Optimality and sub-optimality in a bacterial growth law
Sign Up to like & getrecommendations! Published in 2017 at "Nature Communications"
DOI: 10.1038/ncomms14123
Abstract: Organisms adjust their gene expression to improve fitness in diverse environments. But finding the optimal expression in each environment presents a challenge. We ask how good cells are at finding such optima by studying the… read more here.
Keywords: optimality; carbon; expression; growth ... See more keywords