plato, 427-347 bc
DESCRIPTION
Plato, 427-347 BC. Algorithms for Geometrical Data Analysis. N. Laskaris. What isn’t Geometrical Data Analysis ?. Statistical Data Analysis Hypothesis Driven methodologies A-priori (Top-Down) Data Modeling Parametric (model fitting) approaches. - PowerPoint PPT PresentationTRANSCRIPT
Geometrical Data Analysis
Plato, 427-347 BCPlato, 427-347 BC
Geometrical Data Analysis N. LaskarisN. Laskaris
Algorithms for Algorithms for Geometrical Data AnalysisGeometrical Data Analysis
Geometrical Data Analysis
What isn’t What isn’t Geometrical Data Analysis Geometrical Data Analysis
??
Statistical Data Analysis
Hypothesis Driven methodologies
A-priori (Top-Down) Data Modeling
Parametric (model fitting) approaches
Geometrical Data Analysis
A little Motivation A little Motivation
Geometrical Data Analysis
Information-Geometry
vs. Informative - Geometry
Geometrical Data Analysis
Roger Shepard (1929 - ) 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
Science, vol. 237, Sept.1987 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
Science, vol. 237, Sept.1987 Science, vol. 237, Sept.1987
Geometrical Data Analysis
Michael KirbyMichael 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
(1890-1962)
Sir Ronald Aylmer Fisher
‘‘Let the Data Speak for itself ’’
Geometrical Data Analysis
Feature
Extraction
Distance measure
Structure description
Embedding in Feature-Space
Geometrical Data Analysis
Partitional ClusteringPartitional Clustering
Outlier
Geometrical Data Analysis
Hierarchical ClusteringHierarchical Clustering
Geometrical Data Analysis
Graph-theoretic Graph-theoretic ClusteringClustering
Geometrical Data Analysis
Feature-selectionFeature-selection
Geometrical Data Analysis
Feature-normalizationFeature-normalization
Geometrical Data Analysis
It’s an Ever Expanding field It’s an Ever Expanding field
# 33 issue
Geometrical Data Analysis
Geometrical Data Analysis
Clustering Ensembles Clustering Ensembles
Geometrical Data Analysis
Clustering Dynamics Clustering Dynamics
1. Raw-data. 2. Feature-space. 3. Models
Geometrical Data Analysis
Kernel-based ClusteringRandomization