Signal RepresentationsExplores wavelets as orthonormal bases for piecewise constant signals over unit intervals.
Signal RepresentationsCovers the properties of signal/data representations using Fourier transformations and matrices.
Relations in Computer ScienceExplores the properties of relations in computer science, including equivalence relations and the partition of a set.
Time-frequency tilingExplores the challenges of analyzing speech signals and the concept of time-frequency tiling.
Clustering: k-meansExplains k-means clustering, assigning data points to clusters based on proximity and minimizing squared distances within clusters.
The Nerve and Geometric RealizationDelves into the computation and geometric realization of small categories, exploring the relationship between nerves and geometric structures.
The Role of SymmetriesDelves into symmetries in physics, covering group theory, perturbation, and quantification.
JPEG 2000: Image CompressionExplores image compression principles, focusing on JPEG 2000, covering transform-based coding, quantization, entropy coding, region of interest, error resilience, and software implementations.