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Ridge Estimation with Nonlinear Transformations
The main result proves the inclusion relationship between ridges: $\cR(f\circ p)\subseteq \cR(p)$, provided that the transformation $f$ is strictly increasing and concave on the range of the function $p$.
Bounded Projection Matrix Approximation with Applications to Community Detection
Community detection is an important problem in unsupervised learning.
Quadratic Matrix Factorization with Applications to Manifold Learning
Motivated by manifold learning problems, this paper proposes a quadratic matrix factorization (QMF) framework to learn the curved manifold on which the dataset lies.
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