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AI Studies Survey
AI is a rapidly emerging field that has opened up new vistas of innovation and creativity. From intelligent systems to self-driving cars, AI has transformed the way we live and work.
Case studies
White paper
The Silent (R)evolution of SAT
The Propositional Satisfiability problem (SAT) was the first to be shown NP-complete by Cook and Levin. SAT remained the embodiment of theoretical worst-case hardness.
Case studies
White paper
Algorithms for manifold learning
The technical report presents popular methods for mapping data into a low-dimensional manifold (nonlinear dimensionality reduction).
Case studies
White paper
Geometric data analysis based on manifold learning with applications for image understanding
The conference paper gives in the first section a brief and easy understandable introduction into the basics of Riemannian geometry.
Case studies
White paper
Terse notes on Riemannian geometry
The technical report gives a compact introduction into the basic definitions and theorems of Riemannian geometry, Lie groups & Lie algebras and symmetric spaces.
Case studies
White paper
Learning on manifolds
The conference paper provides a brief introduction into manifolds from a computer vision perspective. Important manifolds for this research field, like symmetric positive definite matrices and affine transformation matrices, are presented.