May 1, 2024
Updated May 9, 2025
16 minute read
An Introduction to Dimension Reduction
Dimension reduction, at its core, is the process of taking a dataset with many variables (or "dimensions") and transforming it into a dataset with fewer variables, all while trying to preserve the essential information and structure of the original data. Imagine trying to understand a complex object by looking at its shadow; the shadow is a lower-dimensional representation that can still tell you a lot about the object's shape. In data analysis and machine learning, dealing with high-dimensional data can be computationally expensive, lead to models that don't generalize well to new data (a problem known as overfitting), and make it difficult to visualize and interpret patterns. Dimension reduction techniques aim to alleviate these issues.
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Reading list
We've selected five books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Dimension Reduction.
This comprehensive guide provides an in-depth overview of dimension reduction techniques, covering various algorithms, their theoretical foundations, and practical applications.
Provides a practical guide to dimensionality reduction techniques, covering various algorithms, their implementation, and applications in different domains, such as bioinformatics and computer vision.
Explores the applications of dimension reduction in data mining, discussing different algorithms and their impact on data analysis and knowledge discovery.
Explores the use of tensor techniques for dimensionality reduction, providing advanced algorithms and theoretical insights. It is suitable for advanced readers interested in the intersection of tensor analysis and dimension reduction.
Focuses on manifold learning, a subtopic of dimension reduction that aims to reveal the intrinsic structure of high-dimensional data lying on a low-dimensional manifold.
For more information about how these books relate to this course, visit:
OpenCourser.com/topic/swsb79/dimension