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Algebraic and Differential Geometry in Modern Optimization

2023
Stochastic optimization algorithms have become indispensable in modern machine learning. The developments of theories and algorithms of modern optimization also requires the application of tools from different methematical branches, such as algebraic and differential geometry.
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GEOMETRY OF DIFFERENTIAL EQUATIONS AND PROJECTIVE REPRESENTATIONS OF THE WITT ALGEBRA

International Journal of Modern Physics B, 1992
We give explicit expressions for the singular vectors in highest weight representations of the Virasoro algebra using a precise definition of fusion.
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Preliminaries on linear algebra and differential geometry

2023
Jean-Michel Bismut   +2 more
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Arc Schemes in Geometry and Differential Algebra

2020
David Bourqui   +2 more
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Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry

1968
V. Kompaniec   +14 more
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