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Stress Function

Measure quantifying the difference between distances in the original high-dimensional space and those in the reduced-dimensional space, used to evaluate the quality of the MDS representation.

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Spatial Configuration

Geometric representation of objects in the reduced-dimensional space, optimized to minimize the stress function and preserve distance relationships.

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Shepard Diagram

Scatter plot showing the relationship between original distances and reconstructed distances, used to diagnose the quality of the MDS fit.

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Kruskal's Algorithm

Iterative optimization procedure used in non-metric MDS to find the spatial configuration that minimizes Kruskal's stress.

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Optimal Scaling

Transformation technique that optimizes the representation of qualitative data as quantitative scores, often used as a complement to MDS.

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Correspondence Analysis

Method related to MDS specialized in analyzing contingency tables, visualizing relationships between categorical variables.

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Generalized MDS

Extension of classical MDS allowing the use of more flexible distance models and the handling of incomplete or weighted data.

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Burt Matrix

Symmetric cross-tabulation used in multiple correspondence analysis, containing cross-frequencies between all pairs of categories of categorical variables.

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Coefficient d'Aliasing

Mesure de la déformation introduite lors de la projection en dimension réduite, quantifiant l'écart entre les distances originales et reconstituées.

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