Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"non-convex optimisation"”.
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Numerical optimisation methods for power consumption in multi-hop mobile phone networks
… inherent to both mathematical models is nonconvex, therefore we have a non convex optimisation problem. Since the problem is non convex, the obtained solutions are only local minimisers. We present and prove two theorems which, in general terms, state that at a local minimiser, the …
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Calculating thermochemical equilibrium for multiphysics simulations of nuclear materials : development of yellowjacket gibbs energy minimiser
… fundamental laws of thermodynamics to solve a non-linear, non-convex optimisation problem. Several thermodynamic models, including the Modified Quasichemical Model in Quadruplet Approximation (MQMQA) were implemented, and state-of-the art numerical solvers in Portable, Extensible Toolkit for …
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Verification of advanced controllers for safety-critical systems
… this allows us to consider problems like general non-convex optimisation, exact computation of structured singular value, and synthesis of non-convex feasible parameter sets. In practice, the generality of algorithms like quantifier elimination by cylindrical algebraic decomposition come with a …
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Topics in shape-constrained inference
… The first of these surveys the field of nonparametric inference under shape constraints, focussing in particular on the topics of shape-restricted regression and shape-constrained density estimation. In the second chapter, we investigate the adaptation properties of the log-concave …
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Convex Relaxations: Beyond Polynomials, Splitting Methods and Average Case Analysis
… the use of semidefinite programming for solving optimisation problems involving non-polynomial and non-semialgebraic functions. We start with the problem of determining the logarithmic Sobolev constant of a finite Markov chain, which can be framed as a nonconvex optimisation problem involving an …
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Variational Multi-Task Models for Image Analysis: Applications to Magnetic Resonance Imaging
… reconstruction and image segmentation using non-convex Bregman iteration. We describe theoretical and numerical details of the problem and its optimisation scheme. Moreover, we show that our multi-task model achieves better results in several examples and MRI applications than existing …