[petsc-dev] Fwd: [SIAM-CSE] Introducing hIPPYlib, a python-based inverse problems solver library

Matthew Knepley knepley at gmail.com
Wed Feb 5 18:11:32 CST 2020

Yes. I had a discussion with Noemi about using it with PETSc. The big
requirement is formulating the discretization
in FEniCS. I think it might be possible to peel back one layer of interface
and use it directly. Once I find the right
student, I will have them investigate. There are some very nice pieces in



On Wed, Feb 5, 2020 at 7:00 PM Smith, Barry F. via petsc-dev <
petsc-dev at mcs.anl.gov> wrote:

>   Lois sent out this announcement on hIPPYlib 3.0
> Begin forwarded message:
> *From: *"McInnes, Lois Curfman" <curfman at anl.gov>
> *Subject: **FW: [SIAM-CSE] Introducing hIPPYlib, a python-based inverse
> problems solver library*
> *Date: *February 4, 2020 at 8:52:46 AM CST
> *To: *"Smith, Barry F." <bsmith at mcs.anl.gov>
> Have you seen this?
> On 2/4/20, 9:49 AM, "SIAM-CSE on behalf of Noemi Petra" <
> siam-cse-bounces at siam.org on behalf of npetra at ucmerced.edu> wrote:
>    We are pleased to announce the availability of hIPPYlib, an extensible
>    software framework for solving large-scale deterministic and Bayesian
>    inverse problems governed by partial differential equations (PDEs)
>    with (possibly) infinite-dimensional parameter fields. The development
>    of this project is being supported by the National Science Foundation.
>    The current version of hIPPYlib is 3.0 and can be downloaded from:
>    https://hippylib.github.io
>    This computational tool implements state-of-the-art scalable
>    adjoint-based algorithms for PDE-based deterministic and Bayesian
>    inverse problems. It builds on FEniCS for the discretization of the
>    PDE and on PETSc for scalable and efficient linear algebra operations
>    and solvers.
>    A few features worth highlighting include:
>    - Friendly, compact, near-mathematical FEniCS notation to express,
>    differentiate, and discretize the PDE forward model and likelihood
>    function
>    - Large-scale optimization algorithms, such as globalized inexact
>    Newton-CG method, to solve the inverse problem
>    - Randomized algorithms for trace estimation, eigenvalues and singular
>       values decomposition
>    - Scalable sampling of Gaussian random fields
>    - Linearized Bayesian inversion with low-rank based representation of
>       the posterior covariance
>    - Hessian-informed MCMC algorithms to explore the posterior
>       distribution
>    - Forward propagation of uncertainty capabilities using Monte Carlo
>       and Taylor expansion control variates
>    For more details, please check out the manuscript:
>    http://arxiv.org/abs/1909.03948
>    For additional resources and tutorials please check out the teaching
>    material from the 2018 Gene Golub SIAM Summer School on ``Inverse
>    Problems: Systematic Integration of Data with Models under
>    Uncertainty" available at http://g2s3.com.
>    Umberto Villa, Noemi Petra and Omar Ghattas
>    --
>    Noemi Petra, PhD
>    Assistant Professor of Applied Mathematics
>    SIAM Student Chapter Faculty Advisor
>    University of California, Merced
>    http://faculty.ucmerced.edu/npetra/
>    _______________________________________________
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>    To post messages to the list please send them to: SIAM-CSE at siam.org
>    http://lists.siam.org/mailman/listinfo/siam-cse

What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener

https://www.cse.buffalo.edu/~knepley/ <http://www.cse.buffalo.edu/~knepley/>
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