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1
Trimester Program — Boolean Analysis in Computer Science
09. Sep 2024 - 18. Dez 2024 • Bonn, Deutschland
Veranstalter:
Hausdorff Research Institute for Mathematics (HIM)
Zusammenfassung:
The trimester program aims to bring together experts, postdocs, and students in computer science and certain areas in mathematics (analysis, probability, and combinatorics) in order to learn about some challenging open problems recently raised in computer science, to use and invent necessary new tools and techniques in mathematics to solve these challenging problems, and vice versa to learn and further extend methods developed in computer science to develop new directions in mathematics motivated by questions in computer science. The core topics of the trimester program would be: learning theory, complexity of classical and quantum algorithms, vector valued functions on the hypercube, complex Hypercontractivity, polynomial inequalities on the hypercube, and discrete approximation theory on the hamming cube.
Eintrags-ID:
1584038
2
School — PAC (probably approximately correct) learning and Boolean Harmonic Analysis
16. Sep 2024 - 20. Sep 2024 • Bonn, Deutschland
Veranstalter:
The Hausdorff Research Institute for Mathematics (HIM)
Zusammenfassung:
The interaction between learning theory and harmonic analysis was emphasized by mathematics of quantum computing. One of the outstanding open problems in this area concerns the sharp estimates in Bohnenblust-Hille inequality that generalizes a celebrated Littlewood’s lemma. How to learn (with small error and with large probability) a complicated function or a very large matrix in a relatively small number of random (quantum) queries? Of course, there should be some Fourier type restrictions on a function (a matrix) to have a reasonable answer to this. The “classical” way of learning (Boolean) functions comes from very sophisticated extensions of theorems of Kahn—Kalai—Linial type. In those results the interplay between maximal influence and heavy Fourier tails is the main technique. Maximal influence should be large if the `tail’ is small. However, recently another approach that is hinged on Bohnenblust—Hille inequality appeared. The school will cover the classical maximal influence approach to `probably approximately correct' (PAC) learning as well as the recent achievements using Bohnenblust—Hille inequality and its quantum counterpart.
Eintrags-ID:
1623212
3
annual retreat — Windberg Junior SFB Meeting
01. Okt 2024 - 05. Okt 2024 • Windberg, Deutschland
Veranstalter:
SFB 1085 Higher Invariants at the Faculty of Mathematics at the Universität Regensburg
Eintrags-ID:
1577885
Verwandte Fachgebiete:


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Stand vom 10. Juni 2024