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AtomicSets.jl : the calculus of support functions in Julia Kramer, Mia
Abstract
Atomic sets are a powerful abstraction of sparsity to more general notions of structure. We present here a software implementation of atomic sets and support functions in the Julia programming language. Previous work in compressed sensing gives us a calculus for support functions under sums and applications of linear maps to atomic sets. We discuss this calculus, how it is reflected in software, and its applications. Emphasis is placed on how the calculus can be represented in a way that allows for both ease of use as a software library and high performance in applications, and how the Julia programming language allows this.
Item Metadata
Title |
AtomicSets.jl : the calculus of support functions in Julia
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Creator | |
Supervisor | |
Publisher |
University of British Columbia
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Date Issued |
2022
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Description |
Atomic sets are a powerful abstraction of sparsity to more general notions of structure. We present here a software implementation of atomic sets and support functions in the Julia programming language. Previous work in compressed sensing gives us a calculus for support functions under sums and applications of linear maps to atomic sets. We discuss this calculus, how it is reflected in software, and its applications. Emphasis is placed on how the calculus can be represented in a way that allows for both ease of use as a software library and high performance in applications, and how the Julia programming language allows this.
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Genre | |
Type | |
Language |
eng
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Date Available |
2022-08-22
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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 |
10.14288/1.0417460
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2022-11
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International