BIR: A Method for Selecting the Best Interpretable Multidimensional Scaling Rotation using External Variables

Rebecca Marion; Adrien Bibal; Benoît Frénay

doi:10.1016/j.neucom.2018.11.093

BIR: A Method for Selecting the Best Interpretable Multidimensional Scaling Rotation using External Variables

Rebecca Marion, Adrien Bibal, Benoît Frénay

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Résumé

Interpreting nonlinear dimensionality reduction models using external features (or external variables) is crucial in many fields, such as psychology and ecology. Multidimensional scaling (MDS) is one of the most frequently used dimensionality reduction techniques in these fields. However, the rotation invariance of the MDS objective function may make interpretation of the resulting embedding difficult. This paper analyzes how the rotation of MDS embeddings affects sparse regression models used to interpret them and proposes a method, called the Best Interpretable Rotation (BIR) method, which selects the best MDS rotation for interpreting embeddings using external information.

langue originale	Anglais
Pages (de - à)	83-96
Nombre de pages	14
journal	Neurocomputing
Volume	342
Les DOIs	https://doi.org/10.1016/j.neucom.2018.11.093
Etat de la publication	Publié - 4 févr. 2019

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Interpretability and Explainability in Machine Learning and their Application to Nonlinear Dimensionality Reduction
Bibal, A. (Auteur), FRENAY, B. (Promoteur), VANHOOF, W. (Président), Cleve, A. (Jury), Dumas, B. (Jury), Lee, J. A. (Jury) & Galarraga, L. (Jury), 16 nov. 2020
Student thesis: Doc types › Docteur en Sciences

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title = "BIR: A Method for Selecting the Best Interpretable Multidimensional Scaling Rotation using External Variables",

abstract = "Interpreting nonlinear dimensionality reduction models using external features (or external variables) is crucial in many fields, such as psychology and ecology. Multidimensional scaling (MDS) is one of the most frequently used dimensionality reduction techniques in these fields. However, the rotation invariance of the MDS objective function may make interpretation of the resulting embedding difficult. This paper analyzes how the rotation of MDS embeddings affects sparse regression models used to interpret them and proposes a method, called the Best Interpretable Rotation (BIR) method, which selects the best MDS rotation for interpreting embeddings using external information.",

keywords = "Machine learning, Interpretability, Dimensionality reduction, Multidimensional scaling, Orthogonal transformation, Multi-view, Sparsity, Lasso regularization",

author = "Rebecca Marion and Adrien Bibal and Beno{\^i}t Fr{\'e}nay",

note = "Funding Information: The authors would like to thank Nathan Nguyen from the Universit{\'e} catholique de Louvain for having pointed to the need for this kind of method in psychology, as well as Prof. Bernadette Govaerts and Prof. Rainer von Sachs from the Universit{\'e} catholique de Louvain for their insights on the subject. The first author gratefully acknowledges financial support from the Belgian Fund for Scientific Research (F.R.S.-FNRS, FRIA grant). Funding Information: The authors would like to thank Nathan Nguyen from the Universit? catholique de Louvain for having pointed to the need for this kind of method in psychology, as well as Prof. Bernadette Govaerts and Prof. Rainer von Sachs from the Universit? catholique de Louvain for their insights on the subject. The first author gratefully acknowledges financial support from the Belgian Fund for Scientific Research (F.R.S.-FNRS, FRIA grant). Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

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doi = "10.1016/j.neucom.2018.11.093",

language = "English",

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AU - Marion, Rebecca

AU - Bibal, Adrien

AU - Frénay, Benoît

N1 - Funding Information: The authors would like to thank Nathan Nguyen from the Université catholique de Louvain for having pointed to the need for this kind of method in psychology, as well as Prof. Bernadette Govaerts and Prof. Rainer von Sachs from the Université catholique de Louvain for their insights on the subject. The first author gratefully acknowledges financial support from the Belgian Fund for Scientific Research (F.R.S.-FNRS, FRIA grant). Funding Information: The authors would like to thank Nathan Nguyen from the Universit? catholique de Louvain for having pointed to the need for this kind of method in psychology, as well as Prof. Bernadette Govaerts and Prof. Rainer von Sachs from the Universit? catholique de Louvain for their insights on the subject. The first author gratefully acknowledges financial support from the Belgian Fund for Scientific Research (F.R.S.-FNRS, FRIA grant). Publisher Copyright: © 2019 Elsevier B.V.

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N2 - Interpreting nonlinear dimensionality reduction models using external features (or external variables) is crucial in many fields, such as psychology and ecology. Multidimensional scaling (MDS) is one of the most frequently used dimensionality reduction techniques in these fields. However, the rotation invariance of the MDS objective function may make interpretation of the resulting embedding difficult. This paper analyzes how the rotation of MDS embeddings affects sparse regression models used to interpret them and proposes a method, called the Best Interpretable Rotation (BIR) method, which selects the best MDS rotation for interpreting embeddings using external information.

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KW - Machine learning

KW - Interpretability

KW - Dimensionality reduction

KW - Multidimensional scaling

KW - Orthogonal transformation

KW - Multi-view

KW - Sparsity

KW - Lasso regularization

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JO - Neurocomputing

JF - Neurocomputing

ER -

BIR: A Method for Selecting the Best Interpretable Multidimensional Scaling Rotation using External Variables

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Thèses de l'étudiant

Interpretability and Explainability in Machine Learning and their Application to Nonlinear Dimensionality Reduction

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