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Dimension reduction algorithms are a crucial part of many data science pipelines, including data exploration, feature creation and selection, and denoising.
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Pablo Pedregal · 1997
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Sam. Roweis and Lawrence. Saul · 2000
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Joshua. Tenenbaum, Vin de Silva and John. Langford · 2000
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Trevor Cox and Michael Cox · 2001
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“Stochastic neighbor embedding”
Geoffrey Hinton and Sam Roweis · 2002
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“Laplacian Eigenmaps for Dimensionality Reduction and Data Representation”
Mikhail Belkin and Partha Niyogi · 2003
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“Modern multidimensional scaling: Theory and applications”
Ingwer Borg and Patrick Groenen · 2005
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“Modern Methods in the Calculus of Variations: L p L^{p} Spaces”
Irene Fonseca and Giovanni Leoni · 2007
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“Visualizing data using t-SNE.”
Laurens Van Maaten and Geoffrey Hinton · 2008
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“Optimal Transport: Old and New”, Grundlehren der mathematischen Wissenschaften
C. Villani · 2008
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“Multidimensional Scaling Using Majorization: SMACOF in R”
Jan de Leeuw and Patrick Mair · 2009
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“Variational Analysis”, Grundlehren der mathematischen Wissenschaften
R.T. Rockafellar, M. Wets and R.J.B. Wets · 2009
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“Dimensionality Reduction: A Comparative Review”
L.P.J. Van Der, E.O. Postma and Jaap Van Herik · 2009
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“Sequential lower semi-continuity of non-local functionals”
Peter Elbau · 2011
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“Gromov–Wasserstein distances and the metric approach to object matching”
Facundo M“’emoli · 2011
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“Existing and Regularity of Minimizers for Nonlocal Energy Functionals”
Mikil Foss, Petronela Radu and Cory Wright · 2018
Later among the works it cites.
“Umap: Uniform manifold approximation and projection for dimension reduction”
Leland McInnes, John Healy and James Melville · 2018
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“Sliced Gromov-Wasserstein”
Vayer Titouan, R“’emi Flamary, Nicolas Courty, Romain Tavenard and Laetitia Chapel · 2019
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“Central limit theorems for classical multidimensional scaling”
Gongkai Li, Minh Tang, Nicolas Charon and Carey Priebe · 2020
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“Variational problems involving unequal dimensional optimal transport”
Luca Nenna and Brendan Pass · 2020
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“A contribution to Optimal Transport on incomparable spaces”, 2020
Titouan Vayer · 2020
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