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Metric denoise: Making it more friendly for topological computation Wang, Yusu
Description
Many topological computation tasks, as well as stability results, assume that the input is a "clean" (finite) metric space or with very limited type of noise (e.g, with bounded Hausdorff-type distance). In this talk, I will describe three different ways to model noise in metric, and how to perform denoising so as to produce the more friendly form of Hausdorff-type noise. I will specifically focus on the case when the target metric is induced from a graph; however the observed graph is a (randomly) perturbed version of the true graph. I will also discuss some open problems at the end.
Item Metadata
Title |
Metric denoise: Making it more friendly for topological computation
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-07-31T16:08
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Description |
Many topological computation tasks, as well as stability results, assume that the input is a "clean" (finite) metric space or with very limited type of noise (e.g, with bounded Hausdorff-type distance). In this talk, I will describe three different ways to model noise in metric, and how to perform denoising so as to produce the more friendly form of Hausdorff-type noise. I will specifically focus on the case when the
target metric is induced from a graph; however the observed graph is a (randomly) perturbed version of the true graph. I will also discuss some open problems at the end.
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Extent |
33 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Ohio State University
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Series | |
Date Available |
2018-01-28
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0363275
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International