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CRANFIELD UNIVERSITY Eleni Anthippi Chatzimichali ...

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TABLE OF CONTENTS<br />

ABSTRACT .................................................................................................................. iii<br />

ACKNOWLEDGMENTS ............................................................................................. iv<br />

TABLE OF CONTENTS ............................................................................................... v<br />

TABLE OF FIGURES ................................................................................................ viii<br />

TABLE OF TABLES ................................................................................................... xii<br />

TABLE OF EQUATIONS .......................................................................................... xiii<br />

ABBREVIATIONS ..................................................................................................... xiv<br />

1 Introduction and Literature Review .......................................................................... 1<br />

1.1 Introduction ....................................................................................................... 1<br />

1.1.1 Overview of Systems Biology .................................................................... 1<br />

1.1.2 The ‘omics’ disciplines ............................................................................... 3<br />

1.1.3 Microbial Spoilage in Meat ........................................................................ 6<br />

1.2 Multivariate Analyses and Chemometrics ......................................................... 7<br />

1.3 Data pre-treatment ............................................................................................. 8<br />

1.3.1 Mean-centering ........................................................................................... 9<br />

1.3.2 Auto-scaling ............................................................................................... 9<br />

1.4 Multivariate Analysis: Unsupervised Methods ............................................... 10<br />

1.4.1 Principal Component Analysis ................................................................. 10<br />

1.4.2 Cluster Analysis ........................................................................................ 12<br />

1.5 Multivariate Analysis: Supervised Learning ................................................... 14<br />

1.5.1 Partial Least Squares – Discriminant Analysis......................................... 14<br />

1.5.2 Support Vector Machines ......................................................................... 15<br />

1.5.3 Ensemble Models ..................................................................................... 22<br />

1.6 Validation ........................................................................................................ 23<br />

1.6.1 The holdout method .................................................................................. 24<br />

1.6.2 k-fold Cross-Validation ............................................................................ 25<br />

1.6.3 Leave-One-Out Cross-Validation ............................................................. 26<br />

1.6.4 Bootstrapping ........................................................................................... 27<br />

1.6.5 Model Selection, complexity and the bias-variance trade-off .................. 27<br />

1.7 Permutation Tests ............................................................................................ 29<br />

1.8 Aims and objectives ........................................................................................ 30<br />

2 Development of the multivariate analysis pipeline for the detection of meat<br />

spoilage ......................................................................................................................... 32<br />

2.1 Introduction ..................................................................................................... 32<br />

2.2 Materials and Methods .................................................................................... 32<br />

2.2.1 Case study 1: “Shelf life beef fillets stored in air at 0, 5, 10, 15 and 20°C”<br />

32<br />

2.2.2 Data pre-Processing and Dimensionality Reduction ................................ 37<br />

2.2.3 Standalone Classifiers: PLS-DA models with LOOCV ........................... 38<br />

2.2.4 Ensemble of Classifiers ............................................................................ 39<br />

2.2.5 The Architecture ....................................................................................... 42<br />

2.2.6 Implementation in R ................................................................................. 43<br />

2.3 Results and Discussion .................................................................................... 44<br />

2.3.1 Principal Component Analysis ................................................................. 44<br />

2.3.2 Classification Results ............................................................................... 47<br />

v

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