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CITATION.cff
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cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- given-names: "Dougal"
family-names: "Maclaurin"
- given-names: "Adam"
family-names: "Paszke"
title: "Dex: typed and functional array processing"
version: 0.0.0
date-released: 2018-09-29
url: "https://github.com/google-research/dex-lang"
preferred-citation:
type: article
authors:
- given-names: "Adam"
family-names: "Paszke"
- given-names: "Daniel D."
family-names: "Johnson"
- given-names: "David"
family-names: "Duvenaud"
- given-names: "Dimitrios"
family-names: "Vytiniotis"
- given-names: "Alexey"
family-names: "Radul"
- given-names: "Matthew J."
family-names: "Johnson"
- given-names: "Jonathan"
family-names: "Ragan-Kelley"
- given-names: "Dougal"
family-names: "Maclaurin"
doi: "10.1145/3473593"
title: "Getting to the Point: Index Sets and Parallelism-Preserving Autodiff for Pointful Array Programming"
volume: 5
number: "ICFP"
year: 2021
month: 8
issue-date: "August 2021"
journal: "Proceedings of the ACM on Programming Languages"
pages: 29
abstract: >
We present a novel programming language design that attempts to combine the clarity
and safety of high-level functional languages with the efficiency and parallelism
of low-level numerical languages. We treat arrays as eagerly-memoized functions on
typed index sets, allowing abstract function manipulations, such as currying, to work
on arrays. In contrast to composing primitive bulk-array operations, we argue for
an explicit nested indexing style that mirrors application of functions to arguments.
We also introduce a fine-grained typed effects system which affords concise and automatically-parallelized
in-place updates. Specifically, an associative accumulation effect allows reverse-mode
automatic differentiation of in-place updates in a way that preserves parallelism.
Empirically, we benchmark against the Futhark array programming language, and demonstrate
that aggressive inlining and type-driven compilation allows array programs to be written
in an expressive, "pointful" style with little performance penalty.
keywords:
- "array programming"
- "automatic differentiation"
- "parallel computing"
url: "https://doi.org/10.1145/3473593"
publisher:
name: "Association for Computing Machinery"
city: "New York"
region: "NY"
country: "USA"