Results 21 to 30 of about 5,566,782 (273)

Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we present some new refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality. Based on verification by computer, several related interesting conjectures are put forward.
Jian Liu
doaj   +1 more source

Structure-Exploiting Interior Point Methods [PDF]

open access: yes, 2020
Interior point methods are among the most popular techniques for large scale nonlinear optimization, owing to their intrinsic ability of scaling to arbitrary large problem sizes. Their efficiency has attracted in recent years a lot of attention due to increasing demand for large scale optimization in industry and engineering.
Jurai Kardos   +2 more
openaire   +3 more sources

An Improved Interior Point Algorithm for Quantile Regression

open access: yesIEEE Access, 2020
Quantile regression is a powerful statistical technique for estimating the quantiles of a conditional distribution on the values of covariates. It has been widely used in many fields.
Pan Zhao, Shenghua Yu
doaj   +1 more source

On Finding a Relative Interior Point of a Polyhedral Set [PDF]

open access: yesMathematics Interdisciplinary Research, 2021
This paper proposes a new linear program for finding a relative interior point of a polyhedral set. Based on characterizing the relative interior of a polyhedral set through its polyhedral representing sets, two main contributions are made.
Mahmood Mehdiloo
doaj   +1 more source

New Refinements of the Erdös–Mordell Inequality and Barrow’s Inequality

open access: yesMathematics, 2019
In this paper, two new refinements of the Erdös−Mordell inequality and three new refinements of Barrow’s inequality are established. Some related interesting conjectures are put forward.
Jian Liu
doaj   +1 more source

On some new geometrically motivated operators over intuitionistic fuzzy sets [PDF]

open access: yesNotes on IFS
We consider four new geometrically motivated operators acting in the interior of the interpretation triangle used to depict intuitionistic fuzzy sets.
Peter Vassilev   +4 more
doaj   +1 more source

Learning to steer nonlinear interior-point methods

open access: yesEURO Journal on Computational Optimization, 2019
Interior-point or barrier methods handle nonlinear programs by sequentially solving barrier subprograms with a decreasing sequence of barrier parameters.
Renke Kuhlmann
doaj   +1 more source

Improved Full-Newton-Step Infeasible Interior-Point Method for Linear Complementarity Problems

open access: yesCroatian Operational Research Review, 2016
We present an Infeasible Interior-Point Method for monotone Linear Complementarity Problem (LCP) which is an improved version of the algorithm given in [13]. In the earlier version, each iteration consisted of one feasibility step and few centering steps.
Goran Lešaja, Mustafa Ozen
doaj   +1 more source

The Symbolic Interior Point Method

open access: yesProceedings of the AAAI Conference on Artificial Intelligence, 2017
Numerical optimization is arguably the most prominent computational framework in machine learning and AI. It can be seen as an assembly language for hard combinatorial problems ranging from classification and regression in learning, to computing optimal policies and equilibria in decision theory, to entropy minimization in information ...
Mladenov, Martin   +2 more
openaire   +5 more sources

On the relationship between bilevel decomposition algorithms and direct interior-point methods [PDF]

open access: yes, 2004
Engineers have been using bilevel decomposition algorithms to solve certain nonconvex large-scale optimization problems arising in engineering design projects.
Miguel, Angel Víctor de   +3 more
core   +1 more source

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