Decomposition Methods for Large Scale LP Decoding

Decomposition Methods for Large-Scale Optimization of Power Systems

Variable renewable power sources are being integrated into power systems across the world. This restructuring process requires extensions of most parts of the power system infrastructure: generation, transmission, as well as storage capacity. Joint optimization of infrastructure extension and operation is a powerful method to identify technical solutions with minimal economic costs. This optimi...

LP Decoding

Linear programming (LP) relaxation is a common technique used to find good solutions to complex optimization problems. We present the method of “LP decoding”: applying LP relaxation to the problem of maximum-likelihood (ML) decoding. An arbitrary binary-input memoryless channel is considered. This treatment of the LP decoding method places our previous work on turbo codes [6] and low-density pa...

Scalable Decoding for Large-Scale Sensor Networks

Acknowledgements I would like to express my gratitude to my supervisors João Barros and Michael Tüchler for the time and effort they invested during the course of this work. They were a constant source of motivation and guidance. Many thanks also go out to Seong Per Lee and Gerhard Maierbacher for their support.

Large Scale Functional Connectivity for Brain Decoding

Functional Magnetic Resonance Imaging (fMRI) data consists of time series for each voxel recorded during a cognitive task. In order to extract useful information from this noisy and redundant data, techniques are proposed to select the voxels that are relevant to the underlying cognitive task. We propose a simple and efficient algorithm for decoding the brain states by modelling the correlation...

Large-scale decomposition for successive quadratic programming