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Principal Component Analysis: Reducing Dimensionality

Master PCA from first principles. Learn variance, covariance, eigenvectors, principal components, variance explained, and how to use PCA for preprocessing and visualization in Python.

DBSCAN: Density-Based Clustering for Complex Shapes

Master DBSCAN from first principles. Learn core points, border points, noise, epsilon and min_samples tuning, comparison with K-Means, and Python implementation with scikit-learn.

Hierarchical Clustering: Building Dendrograms

Master hierarchical clustering from scratch. Learn agglomerative and divisive approaches, linkage criteria, dendrogram interpretation, cutting trees, and Python implementation with scipy and scikit-learn.

Choosing the Number of Clusters: The Elbow Method

Learn every method for choosing k in K-Means clustering: the elbow method, silhouette analysis, gap statistic, Calinski-Harabasz, Davies-Bouldin, and the X-Means algorithm with Python code.

Implementing K-Means Clustering in Python

Learn to implement K-Means clustering in Python from scratch and with scikit-learn. Covers preprocessing, multiple datasets, cluster evaluation, visualization, and production patterns.

Breaking

Chinese AI Models Now Capture 46% of Enterprise API Usage on US Developer Platforms

A CNBC investigation using OpenRouter and Vercel data reveals that Chinese AI models have surged from 11% to as much as 46% of weekly API token usage by US companies.

JadePuffer Becomes World’s First Documented Agentic Ransomware and It Needed Only One Human

Cloud security firm Sysdig has published findings on JadePuffer, the first documented case of agentic ransomware.

OpenAI Launches GPT-5.6 Series with Sol, Terra, and Luna Models After US Government Security Review

OpenAI has publicly launched its GPT-5.6 model series, comprising Sol, Terra, and Luna, following a delay ordered by the US government over national security concerns.

Meltio and Phillips Corporation Deploy Hybrid Metal AM System Aboard USS Essex for RIMPAC 2026

Phillips Corporation and Meltio have deployed a containerised hybrid manufacturing system aboard the USS Essex during RIMPAC 2026.
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