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Generalizing Automatic Differentiation to Automatic Sparsity, Uncertainty, Stability, and Parallelism

stochasticlifestyle.com · published 10 March 2021

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https://arxiv.org/abs/2103.05244
arxiv.org
https://mitmath.github.io/18337/lecture19/uncertainty_programming
mitmath.github.io
https://mitmath.github.io/18337/lecture8/automatic_differentiation.html
mitmath.github.io
https://mitmath.github.io/18337/lecture10/estimation_identification
mitmath.github.io
https://github.com/JuliaDiff/ChainRules.jl
github.com
https://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant
en.wikipedia.org
https://symbolics.juliasymbolics.org/dev/manual/sparsity_detection/
symbolics.juliasymbolics.org
https://openreview.net/pdf?id=rJlPdcY38B
openreview.net
http://en.wikipedia.org/wiki/Propagation_of_uncertainty
en.wikipedia.org
https://arxiv.org/abs/1610.08716
arxiv.org
https://github.com/JuliaPhysics/Measurements.jl
github.com
https://github.com/JuliaIntervals/IntervalArithmetic.jl
github.com
https://www.youtube.com/watch?v=LAuRCy9jUU8
youtube.com
https://diffeq.sciml.ai/stable/tutorials/dae_example/
diffeq.sciml.ai
https://courses.seas.harvard.edu/courses/am205/g_act/dae_notes.pdf
courses.seas.harvard.edu
https://github.com/SciML/ModelingToolkit.jl
github.com
https://mtk.sciml.ai/dev/mtkitize_tutorials/modelingtoolkitize_index_reduction/
mtk.sciml.ai
https://www.youtube.com/watch?v=UNkXNZZ3hSw
youtube.com
https://symbolics.juliasymbolics.org/dev/tutorials/auto_parallel/
symbolics.juliasymbolics.org
https://www.iisertvm.ac.in/files/get_file/26dd0dbc6e3f4c8043749885523d6a25
iisertvm.ac.in
https://github.com/JuliaApproximation/ApproxFun.jl
github.com
https://youtu.be/XI-iHixmGgg?t=3526
youtu.be
https://diffeq.sciml.ai/dev/
diffeq.sciml.ai
https://thewinnower.com/papers/33667-generalizing-automatic-differentiation-to-automatic-sparsity-uncertainty-stability-and-parallelism
thewinnower.com
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