Quantization Design for Distributed Optimization

Optimization of Lattices for Quantization

A training algorithm for the design of lattices for vector quantization is presented. The algorithm uses a steepest descent method to adjust a generator matrix, in the search for a lattice whose Voronoi regions have minimal normalized second moment. The numerical elements of the found generator matrices are interpreted and translated into exact values. Experiments show that the algorithm is sta...

Distributed Multidisciplinary Design and Collaborative Optimization

1. Summary These notes describe some recent ideas for distributed design and their application to large-scale aerospace systems. In this type of multidisciplinary optimization, design tasks are decomposed into domain-specific subproblems, and coordinated to achieve an optimal system. Focusing on collaborative optimization, one form of design decomposition, the notes detail the methods, summariz...

Distributed Multi-objective Multidisciplinary Design Optimization Algorithms

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem. This paper adapts a cooridination strategy based on the well-known nearest neighbor rule and corresponding distributed constrained optimization method. The fl...

Distributed Optimization and Data Market Design

Distributed estimation and quantization

There are three important consequences from Theorem 6. Corollary 1: If Construction C is applied on the extended Hamming code of length 2”, we obtain an abnotmal (2”, 3)2 code. CoroZlary2: If Construction C is applied on the punctured Preparata code of length 2’”-1, we obtain an abnormal (2’”-1, 4)3 code. Corollary 3: If Construction C is applied on the Preparata code of length 22m, we obtain a...