The Mathematics Behind Generative AI
Generative AI has become a buzzword in recent years, powering applications like ChatGPT, image generators, deepfakes, and music composition tools. But what makes these systems capable of "creating" human-like content? The answer lies in a rich foundation of mathematics, which enables machines to learn patterns, generate predictions, and produce new data. In this blog, we’ll explore the key mathematical concepts that fuel generative AI. Linear Algebra Linear algebra is the backbone of most machine learning models, including generative ones. It deals with vectors, matrices, and tensor operations, which are used to represent and manipulate data. Matrices store inputs like images or word embeddings. Dot products and matrix multiplications are used in neural network layers to combine and transform data. Example: A neural network layer applies weights (a matrix) to input vectors to generate new representations. Probability and Statistics Generative AI relies heavily on probability...