Results 81 to 90 of about 6,081 (225)
A paradox in bosonic energy computations via semidefinite programming relaxations
We show that the recent hierarchy of semidefinite programming relaxations based on non-commutative polynomial optimization and reduced density matrix variational methods exhibits an interesting paradox when applied to the bosonic case: even though it can
M Navascués +4 more
doaj +1 more source
Oppenheim–Schur inequalities for causal products
Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot +2 more
wiley +1 more source
Enabling Stochastic Dynamic Games for Robotic Swarms
This paper scales stochastic dynamic games to large swarms of robots through selective agent modeling and variable partial belief space planning. We formulate these games using a belief space variant of iterative Linear Quadratic Gaussian (iLQG). We scale to teams of 50 agents through selective modeling based on the estimated influence of agents ...
Kamran Vakil, Alyssa Pierson
wiley +1 more source
Correcting for finite statistics effects in a quantum steering experiment
Verifying entanglement between parties is essential for creating secure quantum communication. However, finite statistics can lead to false positive outcomes in any tests for entanglement.
Sophie Engineer +9 more
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Spatial Image Gradient Estimation From the Diffusion MRI Profile
ABSTRACT Purpose In the course of diffusion, water molecules encounter varying values for the relaxation‐time properties of the underlying tissue. This factor, which has rarely been accounted for in diffusion MRI (dMRI), is modeled in this work, allowing for the estimation of the gradient of relaxation‐time properties from the dMRI signal. Methods With
Iman Aganj +4 more
wiley +1 more source
A note on set-semidefinite relaxations of nonconvex quadratic programs [PDF]
We consider semidefinite, copositive, and more general, set-semidefinite programming relaxations of general nonconvex quadratic problems. For the semidefinite case a comparison between the feasible set of the original program and the feasible set of the ...
Ahmed, F., Still, Georg J.
core +1 more source
Semidefinite relaxation detector for higher-order modulated multiple-antenna systems
A semidefinite relaxation detector of 64-QAM signals was proposed,which is derived from rank relaxation and Lagrange bidual programming respectively.Computational complexity analyses and simulation results demonstrate the detector can make a good ...
YANG Yi-jin +3 more
doaj +2 more sources
Entrywise transforms preserving matrix positivity and nonpositivity
Abstract We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definite. We refer to these transformations as sign preservers. Compared to the classical work on entrywise preservers by Schoenberg and others, we completely resolve this ...
Dominique Guillot +3 more
wiley +1 more source
Array pattern synthesis using semidefinite programming and a bisection method
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
Exploiting Sparsity in SDP Relaxation for Harmonic Balance Method
In general, harmonic balance problems are extremely nonconvex and difficult to solve. A convex relaxation in the form of semidefinite programming has attracted a lot of attention recently, as it finds a global solution with high accuracy without the need
Cheng-Hsiung Yang, Ben Shen Deng
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