In linear regression, Ordinary Least Squares (OLS) is a powerful method for finding the best-fit line for a dataset. Its primary appeal is that it offers a closed-form solution, meaning you can calculate the ideal model parameters in a single step using matrix operations, rather than through an iterative process. To the notebook in Github The OLS Approach … Read more
Signal processing is a fascinating field that allows us to synthesize, transform, and analyze signals, with a particular focus on sound. In our modern digital world, converting continuous analog sound into discrete digital data is a crucial first step for many applications, from streaming music to speech recognition systems. This process is known as sampling, … Read more
Have you ever wondered how machine learning algorithms can both categorise data and simplify complex datasets without losing crucial information? Meet Linear Discriminant Analysis (LDA), a powerful technique that does exactly that. Often seen as a foundational method, LDA plays a dual role in both classification and dimensionality reduction. LDA: More Than Just a Classifier … Read more
Understanding how signals behave in the frequency domain is crucial for engineers working with digital speech. The Fourier Transform is our most powerful tool for this, allowing us to decompose complex signals into their constituent frequencies. Let’s embark on a step-by-step journey through its various forms, with a particular focus on accurate mathematical representation: the … Read more