1. Geometrical Data Analysis
Plato, BC
Geometrical Data Analysis

2. Algorithms for Geometrical Data Analysis
N. Laskaris
Geometrical Data Analysis

3. What isn’t Geometrical Data Analysis ?
Statistical Data Analysis
Hypothesis Driven methodologies
A-priori (Top-Down) Data Modeling
Parametric (model fitting) approaches
Geometrical Data Analysis

4. Geometrical Data Analysis
A little Motivation
Geometrical Data Analysis

5. Information-Geometry vs. Informative - Geometry
Geometrical Data Analysis

6. He is considered the father of spatial relations
Roger Shepard ( ) Prof. Emeritus of Social Science, Stanford University
A cognitive scientist (Ph.D. in psychology 1955) and author of ‘‘Toward a Universal Law of Generalization for Psychological Science ’’
He is considered the father of spatial relations
Geometrical Data Analysis

7. Geometrical Data Analysis
Science, vol. 237, Sept.1987
Does psychological science have any hope of achieving a law
that is comparable in generality (if not in predictive accuracy) to Neuton’s universal law of gravitation ?
Geometrical Data Analysis

8. Geometrical Data Analysis
Science, vol. 237, Sept.1987
Geometrical Data Analysis

9. Geometrical Data Analysis
Michael Kirby Professor of Mathematics and Computer Science Graduate Program Director, Colorado State University
An Empirical Approach to Dimensionality Reduction and the Study of Patterns
Geometrical Data Analysis

10. ‘‘Let the Data Speak for itself ’’
Sir Ronald Aylmer Fisher
( )
‘‘Let the Data Speak for itself ’’
Geometrical Data Analysis

11. Feature Extraction Distance measure Structure description
Embedding in Feature-Space
Structure description
Geometrical Data Analysis

12. Partitional Clustering
Outlier
Geometrical Data Analysis

13. Hierarchical Clustering
Geometrical Data Analysis

14. Graph-theoretic Clustering
Geometrical Data Analysis

15. Geometrical Data Analysis
Feature-selection
Geometrical Data Analysis

16. Feature-normalization
Geometrical Data Analysis

17. It’s an Ever Expanding field
# 33 issue
Geometrical Data Analysis

18. Geometrical Data Analysis

19. Geometrical Data Analysis
Clustering Ensembles
Geometrical Data Analysis

20. Geometrical Data Analysis
Clustering Dynamics
1. Raw-data Feature-space Models
Geometrical Data Analysis

21. Geometrical Data Analysis
Randomization
Kernel-based Clustering
Geometrical Data Analysis