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Philosophy of mathematics
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Philosophy of Mathematics: Ontology and Structures
Explores the existence of mathematical objects, truth of propositions, and knowledge about them, covering Platonism, Intuitionism, Structuralism, Nominalism, Logicism, and Formalism.
Canonical Correlation Analysis: Overview
Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.
Optimization Methods: Convergence and Trade-offs
Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.
Monster Group Construction
Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Monodromy Conjecture
Explores the Monodromy Conjecture, discussing its origins, implications, and conditions for convergence in mathematical contexts.
Introduction: Purpose of Physics, Physical Law, CMS
Introduces the purpose of physics, the role of mathematics, and the importance of observation in understanding natural phenomena.
Monstrous Moonshine
Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.
Wiener Filtering: Theory and Applications
Covers the theory and applications of Wiener filtering in signal processing.
Generalization in Deep Learning
Explores generalization in deep learning, covering model complexity, implicit bias, and the double descent phenomenon.
