Clustering: k-meansExplains k-means clustering, assigning data points to clusters based on proximity and minimizing squared distances within clusters.
Isometries in Euclidean SpacesExplores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Scalar Product and Euclidean SpacesCovers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
Optimization on ManifoldsCovers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.
Introduction to OptimizationIntroduces linear algebra, calculus, and optimization basics in Euclidean spaces, emphasizing the power of optimization as a modeling tool.
