Determining multivariate association between multiple data sets with applications to neuroscience and acoustic networks / von M.Sc. Tanuj Hasija ; Erster Gutachter: Prof. Dr. Peter J. Schreier, Zweite Gutachterin: Prof. Dr. Tülay Adali. Paderborn, 2021
Content
- Acknowledgements
- Acronyms
- List of notations
- List of figures
- List of tables
- Introduction and background
- Model selection in two data sets
- A review of model selection in two data sets
- Introduction
- Data model for two sets
- ITC-based model-order selection
- GLRT-based model order selection
- Joint PCA-CCA detectors
- Numerical results
- Summary
- Determining the dimension of improper subspace in complex-valued data
- Model selection in multiple data sets
- Model order selection in multiple data sets
- Introduction
- Data model for multiple data sets
- Order selection with special correlation structure
- Order selection with arbitrary correlation structure
- Numerical results
- Summary
- Appendix - Generating the product of coherence matrices
- Complete model selection in multiple data sets
- Introduction
- Noiseless data model for multiple data sets
- Technique based on pairwise model orders
- Technique based on joint information in all sets
- Towards complete model selection in multiple high-dimensional data sets
- Numerical results
- Summary
- Appendix - Number of positive eigenvalues of a hollow symmetric matrix
- Real-world applications
- Source enumeration and voice activity detection in wireless acoustic sensor networks
- Introduction
- Problem formulation
- Source enumeration and node clustering
- Group sparse voice activity detection
- Results
- Summary
- Analyzing sports-induced interactions in multiple modalities of the autonomic nervous system
- Introduction
- Exercise-induced interactions in the ANS
- Ultramarathon-induced interactions in the ANS
- Summary
- Epileptic seizure-induced changes of interrelations within the autonomic nervous system
- Introduction
- Patients and dataset
- Bimodal interactions
- Multimodal interactions
- Discussion and summary
- Summary
- List of publications
- References