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Application of semi-definite programming to robust stability of delay systems

Applied Mathematics and Computation, 2008
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Pierre-Alexandre Bliman, Tetsuya Iwasaki
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Reachability Estimation of Stochastic Dynamical Systems by Semi-definite Programming

2019 IEEE 58th Conference on Decision and Control (CDC), 2019
In this paper we present a semi-definite programming based computational method for reachability analysis of stochastic dynamical systems, in which the reachability is characterized by first passage time distribution. Starting from Feynman-Kac formula, we provide over and under approximations of staying probability in a given safety area with explicit ...
Kairong Liu, Meilun Li, Zhikun She
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Upper bound performance of semi-definite programming for localisation in inhomogeneous media

2017 IEEE 27th International Workshop on Machine Learning for Signal Processing (MLSP), 2017
In this paper, we regarded an absorbing inhomogeneous medium as an assembly of thin layers having different propagation properties. We derived a stochastic model for the refractive index and formulated the localisation problem given noisy distance measurements using graph realisation problem. We relaxed the problem using semi-definite programming (SDP)
Esmaeil S. Nadimi, Victoria Blanes-Vidal
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Cutting Plane Algorithms for Nonlinear Semi-Definite Programming Problems with Applications

Journal of Global Optimization, 2003
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Hiroshi Konno, Naoya Kawadai, Hoang Tuy
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Semi-definite Programming for Statistical Estimation: Power and Limitations

2023
The goal of this thesis to contribute towards a computational complexity theory of statistical inference problems. In recent years, researchers have built evidence in favor of an emerging hypothesis that the class of semi-definite programming (SDP) algorithms is optimal among for computationally efficient algorithms for a certain family of estimation ...
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