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A Guide To Shell Sort And Its Performance

Shell sort is an in-place comparison sorting algorithm that improves on insertion sort by comparing elements separated by a chosen gap. Instead of moving an…

Implementing a Hash Map from Scratch in C

A hash map stores key–value pairs and uses a hash function to locate entries quickly. Instead of scanning every record, a program converts a key into an array…

Understanding Gradient Boosting Machines for Regression

A Gradient Boosting Machine (GBM) for regression builds a strong predictive model from many small decision trees. Instead of fitting one large tree, it adds…

How to Use Generators for Lazy Evaluation in Python

Lazy evaluation means delaying computation until a value is actually needed. In Python, generators provide a clear and efficient way to work with this idea.…

Prim’s Algorithm for Minimum Spanning Trees

Many problems involve connecting locations, computers, or services as cheaply as possible. A road network linking Sydney suburbs, cables connecting Melbourne…

Implementing a Fenwick Tree for Range Queries

A Fenwick tree, also called a Binary Indexed Tree, is a compact data structure for maintaining cumulative values while an array changes. It supports prefix…

Understanding Gaussian mixture models for clustering

Clustering aims to discover groups in data when no target labels are available. A Gaussian mixture model (GMM) approaches this task as a probability problem:…

Sorting integers at speed with the radix sort algorithm

Radix sort is one of those algorithms that quietly outperforms the classics. It is not taught alongside bubble or merge sort in introductory computing classes,…

Implementing a Bloom Filter for Space-Efficient Membership Tests

A Bloom filter is a probabilistic data structure for checking whether an item may belong to a set. It uses a compact bit array and several hash functions, so…

Understanding the AdaBoost algorithm for boosting classifiers

Boosting sits at the heart of modern ensemble learning, and AdaBoost remains one of the clearest illustrations of how combining many weak learners can yield a…