Results 11 to 20 of about 9,824 (145)

New upper bounds for kissing numbers from semidefinite programming [PDF]

open access: yes, 2006
Recently A. Schrijver derived new upper bounds for binary codes using semidefinite programming. In this paper we adapt this approach to codes on the unit sphere and we compute new upper bounds for the kissing number in several dimensions.
Bachoc, Christine, Vallentin, Frank
core   +9 more sources

Motion Parameter Capturing of Multiple Mobile Targets in Robotic Sensor Networks

open access: yesIEEE Access, 2018
A motion parameter capturing method is proposed to jointly estimate the initial positions and velocities of multiple mobile targets in robotic sensor networks.
Xiaoping Wu   +4 more
doaj   +1 more source

On the Embed and Project Algorithm for the Graph Bandwidth Problem

open access: yesMathematics, 2021
The graph bandwidth problem, where one looks for a labeling of graph vertices that gives the minimum difference between the labels over all edges, is a classical NP-hard problem that has drawn a lot of attention in recent decades. In this paper, we focus
Janez Povh
doaj   +1 more source

Faster quantum and classical SDP approximations for quadratic binary optimization [PDF]

open access: yesQuantum, 2022
We give a quantum speedup for solving the canonical semidefinite programming relaxation for binary quadratic optimization. This class of relaxations for combinatorial optimization has so far eluded quantum speedups. Our methods combine ideas from quantum
Fernando G.S L. Brandão   +2 more
doaj   +1 more source

An MI-SDP Model for Optimal Location and Sizing of Distributed Generators in DC Grids That Guarantees the Global Optimum

open access: yesApplied Sciences, 2020
This paper deals with a classical problem in power system analysis regarding the optimal location and sizing of distributed generators (DGs) in direct current (DC) distribution networks using the mathematical optimization.
Walter Gil-González   +3 more
doaj   +1 more source

Semidefinite Programming Algorithms for 3-D AOA-Based Hybrid Localization

open access: yesIEEE Open Journal of Signal Processing, 2023
By taking different kinds of measurements at the same time, it may be possible to improve the accuracy of target localization or reduce the number of sensors needed.
Yanbin Zou
doaj   +1 more source

Improving the linear relaxation of maximum k-cut with semidefinite-based constraints

open access: yesEURO Journal on Computational Optimization, 2019
We consider the maximum k-cut problem that involves partitioning the vertex set of a graph into k subsets such that the sum of the weights of the edges joining vertices in different subsets is maximized.
VilmarJefté Rodrigues de Sousa   +2 more
doaj   +1 more source

Variational density matrix optimization using semidefinite programming [PDF]

open access: yes, 2011
We discuss how semidefinite programming can be used to determine the second-order density matrix directly through a variational optimization. We show how the problem of characterizing a physical or N -representable density matrix leads to matrix ...
Boyd   +22 more
core   +2 more sources

Array pattern synthesis using semidefinite programming and a bisection method

open access: yesETRI Journal, 2019
In this paper, we propose an array pattern synthesis scheme using semidefinite programming (SDP) under array excitation power constraints. When an array pattern synthesis problem is formulated as an SDP problem, it is known that an additional rank‐one ...
Jong‐Ho Lee   +3 more
doaj   +1 more source

Exact duality in semidefinite programming based on elementary reformulations [PDF]

open access: yes, 2015
In semidefinite programming (SDP), unlike in linear programming, Farkas' lemma may fail to prove infeasibility. Here we obtain an exact, short certificate of infeasibility in SDP by an elementary approach: we reformulate any semidefinite system of the ...
Liu, Minghui, Pataki, Gabor
core   +3 more sources

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