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rjlipton.com | ||
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scottaaronson.blog
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| | | | | The following is the lightly-edited transcript of a talk that I gave a week ago, on Wednesday October 5, at Avi Wigderson's 60th birthday conference at the Institute for Advanced Study in Princeton. Videos of all the talks (including mine) are now available here. Thanks so much to Sanjeev Arora, Boaz Barak, Ran Raz, Peter... | |
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francisbach.com
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| | | | | [AI summary] This mathematical post explores the geometry of positive semi-definite matrices using the von Neumann entropy and related Bregman divergences to derive concentration inequalities for random matrices. | |
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windowsontheory.org
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| | | | | (Also available as a pdf file. Apologies for the many footnotes, feel free to skip them.) Computational problems come in all different types and from all kinds of applications, arising from engineering as well the mathematical, natural, and social sciences, and involving abstractions such as graphs, strings, numbers, and more. The universe of potential algorithms... | |
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thenumb.at
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| | | [AI summary] This text provides an in-depth exploration of how functions can be treated as vectors, particularly in the context of signal and geometry processing. It discusses the representation of functions as infinite-dimensional vectors, the use of Fourier transforms in various domains (such as 1D, spherical, and mesh-based), and the application of linear algebra to functions for tasks like compression and smoothing. The text also touches on the mathematical foundations of these concepts, including the Laplace operator, eigenfunctions, and orthonormal bases. It concludes with a list of further reading topics and acknowledges the contributions of reviewers. | ||
