Results 1 to 10 of about 549 (53)

Lower Bounds for a Polynomial on a basic closed semialgebraic set using geometric programming [PDF]

open access: yes, 2015
$f,g_1,...,g_m$ be elements of the polynomial ring $\mathbb{R}[x_1,...,x_n]$. The paper deals with the general problem of computing a lower bound for $f$ on the subset of $\mathbb{R}^n$ defined by the inequalities $g_i\ge 0$, $i=1,...,m$. The paper shows
Ghasemi, Mehdi, Marshall, Murray
core   +1 more source

Optimal Embeddings of Distance Regular Graphs into Euclidean Spaces [PDF]

open access: yesDes Codes Cryptogr, 2007
In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least distortion for Hamming graphs, Johnson graphs, and all strongly regular graphs.
Bannai   +11 more
core   +16 more sources

Logarithmic Barrier Method Via Minorant Function for Linear Semidefinite Programming

open access: yesAnnales Mathematicae Silesianae, 2023
We propose in this study, a new logarithmic barrier approach to solve linear semidefinite programming problem. We are interested in computation of the direction by Newton’s method and of the displacement step using minorant functions instead of line ...
Leulmi Assma
doaj   +1 more source

Conic optimization: A survey with special focus on copositive optimization and binary quadratic problems

open access: yesEURO Journal on Computational Optimization, 2021
A conic optimization problem is a problem involving a constraint that the optimization variable be in some closed convex cone. Prominent examples are linear programs (LP), second order cone programs (SOCP), semidefinite problems (SDP), and copositive ...
Mirjam Dür, Franz Rendl
doaj   +1 more source

Reproducibility of serum testing for environmental allergen‐specific IgE in dogs in Europe

open access: yesVeterinary Dermatology, Volume 32, Issue 3, Page 251-e67, June 2021., 2021
Background – Serum testing for allergen‐specific immunoglobulin (Ig)E is commonly employed to identify allergens used for allergen‐specific immunotherapy in dogs, yet the reliability of results has been a matter of debate. Objective – The aim of this study was to evaluate the reproducibility of serum tests for environmental allergen‐specific IgE in ...
Katja N. Baumann   +4 more
wiley   +1 more source

Enhancing parental reflective functioning through early dyadic interventions: A systematic review and meta‐analysis

open access: yesInfant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 1, Page 21-34, January/February 2021., 2021
ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow   +2 more
wiley   +1 more source

Alternative SDP and SOCP approximations for polynomial optimization

open access: yesEURO Journal on Computational Optimization, 2019
In theory, hierarchies of semidefinite programming (SDP) relaxations based on sum of squares (SOS) polynomials have been shown to provide arbitrarily close approximations for a general polynomial optimization problem (POP).
Xiaolong Kuang   +3 more
doaj   +1 more source

A bounded degree SOS hierarchy for polynomial optimization

open access: yesEURO Journal on Computational Optimization, 2017
We consider a new hierarchy of semidefinite relaxations for the general polynomial optimization problem (P):f∗=min{f(x):x∈K} on a compact basic semi-algebraic set K⊂Rn.
JeanB. Lasserre   +2 more
doaj   +1 more source

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