Robust methods for data reduction. (2015)
- Record Type:
- Book
- Title:
- Robust methods for data reduction. (2015)
- Main Title:
- Robust methods for data reduction
- Further Information:
- Note: Alessio Farcomeni, Luca Greco.
- Authors:
- Farcomeni, Alessio
Greco, Luca - Contents:
- Introduction and Overview; What is contamination; Evaluating robustness; What is data reduction; An overview of robust dimension reduction; An overview of robust sample reduction; Example datasets Multivariate Estimation Methods; Robust univariate methods; Classical multivariate estimation; Robust multivariate estimation; Identification of multivariate outliers; Examples Dimension Reduction; Principal Component Analysis ; Classical PCA; PCA based on robust covariance estimation; PCA based on projection pursuit; Spherical PCA; PCA in high dimensions; Outlier identification using principal components; Examples Sparse Robust PCA ; Basic concepts and sPCA; Robust sPCA; Choice of the degree of sparsity; Sparse projection pursuit; Examples Canonical Correlation Analysis ; Classical canonical correlation analysis; CCA based on robust covariance estimation; Other methods; Examples Factor Analysis; The FA model; Robust factor analysis; Examples Sample Reduction; k -Means and Model-Based Clustering; A brief overview of applications of cluster analysis; Basic concepts; k -means; Model-based clustering; Choosing the number of clusters Robust Clustering; Partitioning around medoids; Trimmed k -means; Snipped k- means; Choosing the trimming and snipping levels; Examples Robust Model-Based Clustering; Robust heterogeneous clustering based on trimming; Robust heterogeneous clustering based on snipping; Examples Double Clustering; Double k -means; Trimmed double k -means; Snipped double kIntroduction and Overview; What is contamination; Evaluating robustness; What is data reduction; An overview of robust dimension reduction; An overview of robust sample reduction; Example datasets Multivariate Estimation Methods; Robust univariate methods; Classical multivariate estimation; Robust multivariate estimation; Identification of multivariate outliers; Examples Dimension Reduction; Principal Component Analysis ; Classical PCA; PCA based on robust covariance estimation; PCA based on projection pursuit; Spherical PCA; PCA in high dimensions; Outlier identification using principal components; Examples Sparse Robust PCA ; Basic concepts and sPCA; Robust sPCA; Choice of the degree of sparsity; Sparse projection pursuit; Examples Canonical Correlation Analysis ; Classical canonical correlation analysis; CCA based on robust covariance estimation; Other methods; Examples Factor Analysis; The FA model; Robust factor analysis; Examples Sample Reduction; k -Means and Model-Based Clustering; A brief overview of applications of cluster analysis; Basic concepts; k -means; Model-based clustering; Choosing the number of clusters Robust Clustering; Partitioning around medoids; Trimmed k -means; Snipped k- means; Choosing the trimming and snipping levels; Examples Robust Model-Based Clustering; Robust heterogeneous clustering based on trimming; Robust heterogeneous clustering based on snipping; Examples Double Clustering; Double k -means; Trimmed double k -means; Snipped double k -means; Robustness properties Discriminant Analysis; Classical discriminant analysis; Robust discriminant analysis Appendix: Use of the Software R for Data Reduction Bibliography Index … (more)
- Edition:
- 1st
- Publisher Details:
- Boca Raton : Chapman & Hall/CRC
- Publication Date:
- 2015
- Extent:
- 1 online resource, illustrations (black and white)
- Subjects:
- 519.50285
Data reduction
Mathematical statistics -- Data processing - Languages:
- English
- ISBNs:
- 9781466590632
- Related ISBNs:
- 9781466590625
- Notes:
- Note: Description based on CIP data; item not viewed.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.138270
- Ingest File:
- 02_050.xml