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2.2. Manifold learning — scikit-learn 1.4.2 documentation
https://scikit-learn.org/stable/modules/manifold.html
WEBManifold learning is an approach to non-linear dimensionality reduction. Algorithms for this task are based on the idea that the dimensionality of many data sets is only artificially high. 2.2.1. Introduction ¶. High-dimensional datasets can be very difficult to visualize.
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Nonlinear dimensionality reduction - Wikipedia
https://en.wikipedia.org/wiki/Nonlinear_dimensionality_reduction
WEBNonlinear dimensionality reduction, also known as manifold learning, refers to various related techniques that aim to project high-dimensional data onto lower-dimensional latent manifolds, with the goal of either visualizing the data in the low-dimensional space, or learning the mapping (either from the high-dimensional space to the low ...
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[2311.03757] Manifold learning: what, how, and why - arXiv.org
https://arxiv.org/abs/2311.03757
WEB[Submitted on 7 Nov 2023] Manifold learning: what, how, and why. Marina Meilă, Hanyu Zhang. Manifold learning (ML), known also as non-linear dimension reduction, is a set of methods to find the low dimensional structure of data.
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In-Depth: Manifold Learning | Python Data Science Handbook
https://jakevdp.github.io/PythonDataScienceHandbook/05.10-manifold-learning.html
WEBManifold learning algorithms would seek to learn about the fundamental two-dimensional nature of the paper, even as it is contorted to fill the three-dimensional space. Here we will demonstrate a number of manifold methods, going most deeply into a couple techniques: multidimensional scaling (MDS), locally linear embedding (LLE), and isometric ...
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Manifold Learning: Introduction and Foundational Algorithms
https://drewwilimitis.github.io/Manifold-Learning/
WEBIntroduction: Overview of manifolds and the basic topology of data. Statistical learning and instrinsic dimensionality. The manifold hypothesis. Chapter 1: Multidimensional Scaling. Classical, metric, and non-metric MDS algorithms. Example applications to quantitative psychology and social science. Chapter 2: ISOMAP.
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Manifold Learning: The Theory Behind It | by Vivek Palaniappan
https://towardsdatascience.com/manifold-learning-the-theory-behind-it-c34299748fec
WEB6 min read. ·. Sep 27, 2018. 1. Manifold Learning has become an exciting application of geometry and in particular differential geometry to machine learning. However, I feel that there is a lot of theory behind the algorithm that is left out, and understanding it will benefit in applying the algorithms more effectively ( see this ).
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[2011.01307] The Mathematical Foundations of Manifold Learning …
https://arxiv.org/abs/2011.01307
WEBOct 30, 2020 · Manifold learning is a popular and quickly-growing subfield of machine learning based on the assumption that one's observed data lie on a low-dimensional manifold embedded in a higher-dimensional space. This thesis presents a mathematical perspective on manifold learning, delving into the intersection of kernel learning, …
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Manifold Learning | SpringerLink
https://link.springer.com/referenceworkentry/10.1007/978-3-030-63416-2_824
WEBOct 13, 2021 · Definition. Manifold learning or nonlinear dimensionality reduction refers to a class of methods that aim to preserve geometric and topological properties of a finite set of samples drawn from a high-dimensional non-Euclidean space. Background.
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Introduction to manifold learning - Izenman - 2012 - WIREs
https://wires.onlinelibrary.wiley.com/doi/abs/10.1002/wics.1222
WEBJul 16, 2012 · A popular research area today in statistics and machine learning is that of manifold learning, which is related to the algorithmic techniques of dimensionality reduction. Manifold learning can be divided into linear and nonlinear methods.
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Manifold Learning | SpringerLink
https://link.springer.com/referenceworkentry/10.1007/978-0-387-73003-5_301
WEBDefinition. Manifold learning is the process of estimating the structure of a manifold vofrom a set of samples, also referred to as observations or instances, taken from the manifold.
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