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Showing posts with the label dimensionality reduction

PCA, Eigenvectors, and the Hidden Structure of High-Dimensional Data | Chapter 6 of Why Machines Learn

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PCA, Eigenvectors, and the Hidden Structure of High-Dimensional Data | Chapter 6 of Why Machines Learn Chapter 6, “There’s Magic in Them Matrices,” from Why Machines Learn: The Elegant Math Behind Modern AI unravels one of the most powerful tools in data science: principal component analysis (PCA). Anil Ananthaswamy blends compelling real-world applications—such as analyzing EEG signals to detect consciousness levels—with mathematical clarity, showing how PCA reveals structure in high-dimensional datasets. This post expands on the chapter, explaining eigenvectors, covariance matrices, dimensionality reduction, and why PCA is essential to modern machine learning. To follow the visual transformations described in this chapter, watch the full video summary above. Supporting Last Minute Lecture helps us continue creating clear, academically rich breakdowns for complex machine learning concepts. Why PCA Matters: Finding Structure in High-Dimensional Data Modern datasets—EEG re...

Nearest Neighbors, Distance Metrics, and Pattern Recognition Explained | Chapter 5 of Why Machines Learn

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Nearest Neighbors, Distance Metrics, and Pattern Recognition Explained | Chapter 5 of Why Machines Learn Chapter 5, “Birds of a Feather,” from Why Machines Learn: The Elegant Math Behind Modern AI explores one of the most intuitive and enduring algorithms in machine learning: the nearest neighbor method. Through historical storytelling, geometric visualization, and mathematical clarity, Anil Ananthaswamy shows how classification can emerge from a simple principle—identify the closest example and assume similar things belong together. This post expands on the chapter’s themes, explaining how distance metrics, Voronoi diagrams, and high-dimensional geometry shape similarity-based learning. To follow along visually with the explanations, watch the full chapter summary above. Supporting Last Minute Lecture helps us continue creating academically rich chapter breakdowns available to learners everywhere. A Cholera Map That Foreshadowed Machine Learning The chapter begins with J...