pacecraft Magnetic Control Using Dichotomous Coordinate Descent Algorithm with Box Constraints

Spacecraft Magnetic Control Using Dichotomous Coordinate Descent Algorithm with Box Constraints

In this paper we present magnetic control of a spacecraft using the Dichotomous Coordinate Descent (DCD) algorithm with box constraints. What is common for most work on magnetic spacecraft control is the technique for solving for the control variables of the magnetic torquers where a cross product is included which is well known to be singular. The DCD algorithm provides a new scheme which make...

Coordinate Descent with Coupled Constraints

Introduction For many big data applications, a relatively small parameter vector θ ∈ Rn is determined to fit a model to a very large dataset with N observations. We consider a different motivating problem in which both n and N are large. Thus, both batch optimization techniques and many stochastic techniques that require working with the entire θ vector (e.g. mirror descent methods) are too ine...

Leading Element Dichotomous Coordinate Descent Exponential Recursive Least Squares Algorithm for Multichannel Active Noise Control

In this paper, a new multichannel modified filtered-x (MFX) recursive least square (RLS) algorithm for active noise control (ANC) based on leading element dichotomous co-ordinate descent (LEDCD) iterations is proposed. It is shown that the proposed algorithm has less than half of the complexity of MFX fast transversal filter (FTF) algorithm with good performance for ideal plant models and impro...

New multichannel modified filtered-x algorithms for active noise control using the dichotomous coordinate descent method

Coordinate Descent Algorithms With Coupling Constraints: Lessons Learned

Coordinate descent methods are enjoying renewed interest due to their simplicity and success in many machine learning applications. Given recent theoretical results on random coordinate descent with linear coupling constraints, we develop a software architecture for this class of algorithms. A software architecture has to (1) maintain solution feasibility, (2) be applicable to different executi...