This lecture overviews Linear Algebra that has many applications in Machine Learning, Computer Vision and Scientific Computing. It covers the following topics in detail: Vectors, matrices, System of linear equations, Eigenanalysis, Singular value Decomposition, Other matrix decompositions, Tensors Fundamentals, Tensor decompositions, BLAS.
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Geometric Spaces
This lecture overviews Geometric Spaces that has many applications in Machine Learning and Digital Signal Processing and Analysis. It covers the following topics in detail: Vector Spaces, Affine Spaces, Metric Spaces.
Geometry
This lecture overviews Geometry that has many applications in Computer Vision and Machine Learning. It covers the following topics in detail: Vector calculus (inner/cross vector products, coplanarity), 3D geometric transformations (rotation, translation,quarternions), Projective geometry: homogenous coordinates, Perspective (or central) projections, Vanishing points, Cross-ratio, Conic sections.
Mathematical Analysis
This lecture overviews Mathematical Analysis that has many applications in Computer Vision, Machine Learning and Autonomous Systems. It covers the following topics in detail: 1D/2D/3D functions with applications in signal, image and video processing. Analytical and numerical differentiation of 1D functions. Analytical and numerical integration of 1D functions. Analytical and numerical partial differentiation of 2D/3D/spatiotemporal… Continue reading Mathematical Analysis
Soccer Video Analysis
This lecture overviews Soccer Video Analysis that has many applications in Human-centered Computing, Image and Video Analysis and Sports Analytics/coaching. It covers the following topics in detail: Playfield Detection. Ball Detection and Tracking. Player Detection and Tracking. Referee Assistance. Tactics Analysis.
Athlete Motion Analysis
This lecture overviews Athlete Motion Analysis that has many applications in Human-centered Computing, Image and Video Analysis and Sports coaching. It covers the following topics in detail: Motion Caption. Body pose. Rigid object motion. Articulated object motion. Motion Analysis in Sports.