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arXiv (Cornell University)
Best Subset Solution Path for Linear Dimension Reduction Models using Continuous Optimization
2024
The selection of best variables is a challenging problem in supervised and unsupervised learning, especially in high dimensional contexts where the number of variables is usually much larger than the number of observations. In this paper, we focus on two mult…
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Geometry

Branch of mathematics

Geometry (from Ancient Greek __ γεωμετρία (_geōmetría) 'land measurement'; from __ γῆ () 'earth, land' and __ μέτρον (métron) 'a measure') is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a _geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

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arXiv (Cornell University)
Best Subset Solution Path for Linear Dimension Reduction Models using Continuous Optimization
2024
The selection of best variables is a challenging problem in supervised and unsupervised learning, especially in high dimensional contexts where the number of variables is usually much larger than the number of observations. In this paper, we focus on two multivariate statistical methods: principal components analysis and partial least squares. Both approaches are popular linear dimension-reduction methods with numerous applications in several fields including in genomics, biology, environmental science, and engine…
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