Lecture 2: Complexity results for integration.
1 hour 10 mins,
1.00 GB,
MPEG-4 Video
640x360,
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Description: |
Novak, E
Wednesday 13th February 2019 - 15:00 to 16:30 |
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Created: | 2019-02-15 09:42 |
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Collection: | Approximation, sampling and compression in data science |
Publisher: | Isaac Newton Institute |
Copyright: | Novak, E |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | We give a short introduction to IBC and present some basic definitions and a few results. The general question is: How many function values (or values of other functionals) of f do we need to compute S(f)
up to an error ϵ? Here S(f) could be the integral or the maximum of f. In particular we study the question: Which problems are tractable? When do we have the curse of dimension? In this second talk we discuss complexity results for numerical integration. In particular we present results for the star discrepancy, the curse of dimension for Ck functions, and results for randomized algorithms |
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WebM | 640x360 | 529.11 kbits/sec | 271.27 MB | View | Download | |
iPod Video | 480x270 | 528.12 kbits/sec | 270.77 MB | View | Download | |
MP3 | 44100 Hz | 252.88 kbits/sec | 129.65 MB | Listen | Download | |
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