A network perspective to orchestra conducting

Pao Yue-kong Library Electronic Theses Database

A network perspective to orchestra conducting

 

Author: Yang, Bo
Title: A network perspective to orchestra conducting
Degree: M.Sc.
Year: 2011
Subject: Communication -- Network analysis.
Consensus (Social sciences)
Hong Kong Polytechnic University -- Dissertations
Department: Dept. of Electronic and Information Engineering
Pages: xvi, 124 leaves : ill. (some col.) ; 30 cm.
Language: English
InnoPac Record: http://library.polyu.edu.hk/record=b2462928
URI: http://theses.lib.polyu.edu.hk/handle/200/6354
Abstract: In this thesis, orchestral conducting has been studied as a social network consensus problem. An orchestra is represented by a complex network, from which the effect of the conductor and the mutual influence among members in the orchestra are systematically analyzed, the purpose being to understand how the network structure (i.e., the way in which conductor and members interact) facilitate or discourage consensus. In the network, nodes are members of the orchestra and edges represent mutual influences or couplings among the nodes. Based on the orchestra network established, two matrices, namely status matrix and edge matrix, are used to describe the status of the consensus and the network topology. In describing the dynamical evolution of the network, the DeGroot model has been used, and the process of conducting has been modeled as discrete-time events which are updated according to an iterative algorithm. The overall dynamics of the consensus can thus be simulated. Other useful performance parameters can also derived from the simulation results. We focus on the seven major types of network topology, and have investigated some network properties that are relevant in controlling the consensus. In particular, it is found that the speed of achieving consensus is strongly dependent upon the average of the weighted length from the conductor to all members. Furthermore, several network parameters, including initial values of nodes, weightings of connections, self-confidence ratings of nodes and the probability of conductor interacting with members, have been varied to study their effects on the network consensus. In order to facilitate observation of the network dynamics, a simulation platform with graphical user interface (GUI) has been developed using Matlab. The network topologies are described graphically and simulation results are shown using appropriate statistical formats such as histograms which are organized in animation formats.

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