Certainly! Here's a comprehensive blog post that delves into the concepts of Linear Discriminant Analysis (LDA) and Quadratic Discriminant Analysis (QDA), highlighting their differences, applications, and considerations for use. Introduction In the realm of statistical classification, Linear Discriminant Analysis (LDA) and Quadratic Discriminant Analysis (QDA) are two foundational techniques. Both are grounded in probabilistic models and are particularly effective when the data adheres to certain assumptions. While they share similarities, their differences in assumptions and flexibility make them suitable for different scenarios. Linear Discriminant Analysis (LDA) LDA is a classification method that projects high-dimensional data onto a lower-dimensional space, aiming to maximize class separability. It operates under the assumption that: Each class follows a Gaussian (normal) distribution. All classes share the same covariance matrix. These assumptions lead to...
Introduction: When preparing for a data science interview, brushing up on your coding and statistical knowledge is crucial—but math puzzles also play a significant role. Many interviewers use puzzles to assess how candidates approach complex problems, test their logical reasoning, and gauge their problem-solving efficiency. These puzzles are often designed to test not only your knowledge of math but also your ability to think critically and creatively. Here, we've compiled 20 challenging yet exciting math puzzles to help you prepare for data science interviews. We’ll walk you through each puzzle, followed by an explanation of the solution. 1. The Missing Dollar Puzzle Puzzle: Three friends check into a hotel room that costs $30. They each contribute $10. Later, the hotel realizes there was an error and the room actually costs $25. The hotel gives $5 back to the bellboy to return to the friends, but the bellboy, being dishonest, pockets $2 and gives $1 back to each friend. No...