skip to main content
Guest
My Research
My Account
Sign out
Sign in
This feature requires javascript
Library Search
Find Databases
Browse Search
E-Journals A-Z
E-Books A-Z
Citation Linker
Help
Language:
English
Vietnamese
This feature required javascript
This feature requires javascript
Primo Search
All Library Resources
All
Course Materials
Course Materials
Search For:
Clear Search Box
Search in:
All Library Resources
Or hit Enter to replace search target
Or select another collection:
Search in:
All Library Resources
Search in:
Print Resources
Search in:
Digital Resources
Search in:
Online E-Resources
Advanced Search
Browse Search
This feature requires javascript
Search Limited to:
Search Limited to:
Resource type
criteria input
All items
Books
Articles
Images
Audio Visual
Maps
Graduate theses
Show Results with:
criteria input
that contain my query words
with my exact phrase
starts with
Show Results with:
Search type Index
criteria input
anywhere in the record
in the title
as author/creator
in subject
Full Text
ISBN
ISSN
TOC
Keyword
Field
Show Results with:
in the title
Show Results with:
anywhere in the record
in the title
as author/creator
in subject
Full Text
ISBN
ISSN
TOC
Keyword
Field
This feature requires javascript
Higher Order Automatic Differentiation of Higher Order Functions
info:eu-repo/semantics/OpenAccess ;ISSN: 1860-5974 ;EISSN: 1860-5974
Full text available
Citations
Cited by
View Online
Details
Recommendations
Reviews
Times Cited
External Links
This feature requires javascript
Actions
Add to My Research
Remove from My Research
E-mail
Print
Permalink
Citation
EasyBib
EndNote
RefWorks
Delicious
Export RIS
Export BibTeX
This feature requires javascript
Title:
Higher Order Automatic Differentiation of Higher Order Functions
Author:
Huot, Mathieu
;
Staton, Sam
;
Vákár, Matthijs
Subjects:
Computer Science - Logic in Computer Science
;
Computer Science - Programming Languages
Description:
We present semantic correctness proofs of automatic differentiation (AD). We consider a forward-mode AD method on a higher order language with algebraic data types, and we characterise it as the unique structure preserving macro given a choice of derivatives for basic operations. We describe a rich semantics for differentiable programming, based on diffeological spaces. We show that it interprets our language, and we phrase what it means for the AD method to be correct with respect to this semantics. We show that our characterisation of AD gives rise to an elegant semantic proof of its correctness based on a gluing construction on diffeological spaces. We explain how this is, in essence, a logical relations argument. Throughout, we show how the analysis extends to AD methods for computing higher order derivatives using a Taylor approximation.
Creation Date:
2022-03
Language:
English
Identifier:
ISSN: 1860-5974
EISSN: 1860-5974
Source:
Alma/SFX Local Collection
ROAD: Directory of Open Access Scholarly Resources
DOAJ Directory of Open Access Journals
Utrecht University Repository
This feature requires javascript
This feature requires javascript
Back to results list
This feature requires javascript
This feature requires javascript
Searching Remote Databases, Please Wait
Searching for
in
scope:(TDTS),scope:(SFX),scope:(TDT),scope:(SEN),primo_central_multiple_fe
Show me what you have so far
This feature requires javascript
This feature requires javascript