plato, 427-347 bc
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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
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Geometrical Data Analysis
Plato, 427-347 BCPlato, 427-347 BC
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Geometrical Data Analysis N. LaskarisN. Laskaris
Algorithms for Algorithms for Geometrical Data AnalysisGeometrical Data Analysis
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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
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Geometrical Data Analysis
A little Motivation A little Motivation
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Geometrical Data Analysis
Information-Geometry
vs. Informative - Geometry
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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
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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 ?
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Geometrical Data Analysis
Science, vol. 237, Sept.1987 Science, vol. 237, Sept.1987
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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
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Geometrical Data Analysis
(1890-1962)
Sir Ronald Aylmer Fisher
‘‘Let the Data Speak for itself ’’
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Geometrical Data Analysis
Feature
Extraction
Distance measure
Structure description
Embedding in Feature-Space
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Geometrical Data Analysis
Partitional ClusteringPartitional Clustering
Outlier
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Geometrical Data Analysis
Hierarchical ClusteringHierarchical Clustering
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Geometrical Data Analysis
Graph-theoretic Graph-theoretic ClusteringClustering
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Geometrical Data Analysis
Feature-selectionFeature-selection
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Geometrical Data Analysis
Feature-normalizationFeature-normalization
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Geometrical Data Analysis
It’s an Ever Expanding field It’s an Ever Expanding field
# 33 issue
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Geometrical Data Analysis
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Geometrical Data Analysis
Clustering Ensembles Clustering Ensembles
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Geometrical Data Analysis
Clustering Dynamics Clustering Dynamics
1. Raw-data. 2. Feature-space. 3. Models
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Geometrical Data Analysis
Kernel-based ClusteringRandomization