Differentiable programming for image processing and deep learning in halide
Gradient-based optimization has enabled dramatic advances in computational imaging through techniques like deep learning and nonlinear optimization. These methods require gradients not just of simple mathematical functions, but of general programs which encode complex transformations of images and g...
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Format: | Article |
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Association for Computing Machinery (ACM)
2019
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Online Access: | https://hdl.handle.net/1721.1/122623 |
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author | Li, Tzu-Mao Gharbi, Michael Yanis Adams, Andrew Durand, Frederic Ragan-Kelley, Jonathan |
author2 | Massachusetts Institute of Technology. Laboratory for Computer Science |
author_facet | Massachusetts Institute of Technology. Laboratory for Computer Science Li, Tzu-Mao Gharbi, Michael Yanis Adams, Andrew Durand, Frederic Ragan-Kelley, Jonathan |
author_sort | Li, Tzu-Mao |
collection | MIT |
description | Gradient-based optimization has enabled dramatic advances in computational imaging through techniques like deep learning and nonlinear optimization. These methods require gradients not just of simple mathematical functions, but of general programs which encode complex transformations of images and graphical data. Unfortunately, practitioners have traditionally been limited to either hand-deriving gradients of complex computations, or composing programs from a limited set of coarse-grained operators in deep learning frameworks. At the same time, writing programs with the level of performance needed for imaging and deep learning is prohibitively difficult for most programmers.
We extend the image processing language Halide with general reverse-mode automatic differentiation (AD), and the ability to automatically optimize the implementation of gradient computations. This enables automatic computation of the gradients of arbitrary Halide programs, at high performance, with little programmer effort. A key challenge is to structure the gradient code to retain parallelism. We define a simple algorithm to automatically schedule these pipelines, and show how Halide's existing scheduling primitives can express and extend the key AD optimization of "checkpointing."
Using this new tool, we show how to easily define new neural network layers which automatically compile to high-performance GPU implementations, and how to solve nonlinear inverse problems from computational imaging. Finally, we show how differentiable programming enables dramatically improving the quality of even traditional, feed-forward image processing algorithms, blurring the distinction between classical and deep methods. |
first_indexed | 2024-09-23T12:50:05Z |
format | Article |
id | mit-1721.1/122623 |
institution | Massachusetts Institute of Technology |
last_indexed | 2024-09-23T12:50:05Z |
publishDate | 2019 |
publisher | Association for Computing Machinery (ACM) |
record_format | dspace |
spelling | mit-1721.1/1226232022-10-01T11:24:30Z Differentiable programming for image processing and deep learning in halide Li, Tzu-Mao Gharbi, Michael Yanis Adams, Andrew Durand, Frederic Ragan-Kelley, Jonathan Massachusetts Institute of Technology. Laboratory for Computer Science Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Gradient-based optimization has enabled dramatic advances in computational imaging through techniques like deep learning and nonlinear optimization. These methods require gradients not just of simple mathematical functions, but of general programs which encode complex transformations of images and graphical data. Unfortunately, practitioners have traditionally been limited to either hand-deriving gradients of complex computations, or composing programs from a limited set of coarse-grained operators in deep learning frameworks. At the same time, writing programs with the level of performance needed for imaging and deep learning is prohibitively difficult for most programmers. We extend the image processing language Halide with general reverse-mode automatic differentiation (AD), and the ability to automatically optimize the implementation of gradient computations. This enables automatic computation of the gradients of arbitrary Halide programs, at high performance, with little programmer effort. A key challenge is to structure the gradient code to retain parallelism. We define a simple algorithm to automatically schedule these pipelines, and show how Halide's existing scheduling primitives can express and extend the key AD optimization of "checkpointing." Using this new tool, we show how to easily define new neural network layers which automatically compile to high-performance GPU implementations, and how to solve nonlinear inverse problems from computational imaging. Finally, we show how differentiable programming enables dramatically improving the quality of even traditional, feed-forward image processing algorithms, blurring the distinction between classical and deep methods. National Science Foundation (U.S.) (Grant CCF-1723445) 2019-10-18T13:55:05Z 2019-10-18T13:55:05Z 2018-08 Article http://purl.org/eprint/type/JournalArticle 0730-0301 https://hdl.handle.net/1721.1/122623 Li, Tzu-Mao et al. "Differentiable programming for image processing and deep learning in halide." 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10.1145/3197517.3201383 10.1145/3197517.3201383 http://dx.doi.org/10.1145/3197517.3201383 ACM Transactions on Graphics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Association for Computing Machinery (ACM) Prof. Durand via Phoebe Ayers |
spellingShingle | Li, Tzu-Mao Gharbi, Michael Yanis Adams, Andrew Durand, Frederic Ragan-Kelley, Jonathan Differentiable programming for image processing and deep learning in halide |
title | Differentiable programming for image processing and deep learning in halide |
title_full | Differentiable programming for image processing and deep learning in halide |
title_fullStr | Differentiable programming for image processing and deep learning in halide |
title_full_unstemmed | Differentiable programming for image processing and deep learning in halide |
title_short | Differentiable programming for image processing and deep learning in halide |
title_sort | differentiable programming for image processing and deep learning in halide |
url | https://hdl.handle.net/1721.1/122623 |
work_keys_str_mv | AT litzumao differentiableprogrammingforimageprocessinganddeeplearninginhalide AT gharbimichaelyanis differentiableprogrammingforimageprocessinganddeeplearninginhalide AT adamsandrew differentiableprogrammingforimageprocessinganddeeplearninginhalide AT durandfrederic differentiableprogrammingforimageprocessinganddeeplearninginhalide AT ragankelleyjonathan differentiableprogrammingforimageprocessinganddeeplearninginhalide |