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Introduction to Online Convex Optimization
Found. Trends Optim., 2016This monograph portrays optimization as a process. In many practical applications the environment is so complex that it is infeasible to lay out a comprehensive theoretical model and use classical algorithmic theory and mathematical optimization.
Elad Hazan
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Distributed Smooth Convex Optimization With Coupled Constraints
IEEE Transactions on Automatic Control, 2020This note develops a distributed algorithm to solve a convex optimization problem with coupled constraints. Both coupled equality and inequality constraints are considered, where functions in the equality constraints are affine and functions in the ...
Shu Liang, L. Wang, G. Yin
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IEEE Transactions on Neural Networks and Learning Systems, 2020
This paper proposes a quaternion-valued one-layer recurrent neural network approach to resolve constrained convex function optimization problems with quaternion variables.
Yang Liu +4 more
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This paper proposes a quaternion-valued one-layer recurrent neural network approach to resolve constrained convex function optimization problems with quaternion variables.
Yang Liu +4 more
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Convex Optimization With Convex Constraints
2001In this chapter we want to solve the problem minf(x) | x ∈ C, where f is a convex function on ℝ n , and C is a convex, nonempty subset of ℝ n . A point x* ∈ C is a global solution, or more simply a solution to this problem, or a minimizer of f on C, if f(x*) ≤ f(x), ∀x ∈ C. We say that x* is a local solution to this problem if there exists a relatively
Monique Florenzano, Cuong Le Van
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Proceedings of the 17th ACM SIGKDD international conference on Knowledge discovery and data mining, 2011
Convex optimization has emerged as useful tool for applications that include data analysis and model fitting, resource allocation, engineering design, network design and optimization, finance, and control and signal processing. After an overview, the talk will focus on two extremes: real-time embedded convex optimization, and distributed convex ...
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Convex optimization has emerged as useful tool for applications that include data analysis and model fitting, resource allocation, engineering design, network design and optimization, finance, and control and signal processing. After an overview, the talk will focus on two extremes: real-time embedded convex optimization, and distributed convex ...
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Optimal Rocket Landing Guidance Using Convex Optimization and Model Predictive Control
Journal of Guidance Control and Dynamics, 2019In this paper, a novel guidance algorithm based on convex optimization, pseudospectral discretization, and a model predictive control (MPC) framework is proposed to solve the highly nonlinear and c...
Jinbo Wang, Naigang Cui, Changzhu Wei
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Nonconvex Sparse Regularization and Convex Optimization for Bearing Fault Diagnosis
IEEE transactions on industrial electronics (1982. Print), 2018Vibration monitoring is one of the most effective ways for bearing fault diagnosis, and a challenge is how to accurately estimate bearing fault signals from noisy vibration signals.
Shibin Wang +5 more
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2009
Optimization is a central theme of applied mathematics that involves minimizing or maximizing various quantities. This is an important application of the derivative tests in calculus. In addition to the first and second derivative tests of one-variable calculus, there is the powerful technique of Lagrange multipliers in several variables.
Kenneth R. Davidson, Allan P. Donsig
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Optimization is a central theme of applied mathematics that involves minimizing or maximizing various quantities. This is an important application of the derivative tests in calculus. In addition to the first and second derivative tests of one-variable calculus, there is the powerful technique of Lagrange multipliers in several variables.
Kenneth R. Davidson, Allan P. Donsig
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Convex Optimization Based Distributed Optimal Gas-Power Flow Calculation
IEEE Transactions on Sustainable Energy, 2018This paper proposes a convex optimization based distributed algorithm to solve the multi-period optimal gas-power flow (OGPF) problem in coupled energy distribution systems.
Cheng Wang +5 more
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