[Colloquium] REMINDER: 4/8 TTIC Colloquium: Ronen Basri, Weizmann Institute

[Alicia McClarin]

*When:    *  Monday, April 8th at *11:00 am*



*Where:     *TTIC, 6045 S. Kenwood Avenue, 5th Floor, Room 526



*Who:        *Ronen Basri, Weizmann Institute

*Title:         *Learning to Optimize Multigrid PDE Solvers

*Abstract:* Constructing fast numerical solvers for partial differential
equations (PDEs) is crucial for many scientific disciplines. A leading
technique for solving large-scale PDEs is using multigrid methods. At the
core of a multigrid solver is the prolongation matrix, which relates
between different scales of the problem. This matrix is strongly
problem-dependent, and its optimal construction is critical to the
efficiency of the solver. In practice, however, devising multigrid
algorithms for new problems often poses formidable challenges. This talk
proposes a framework for learning multigrid solvers. Our method learns a
(single) mapping from discretized PDEs to prolongation operators for a
broad class of 2D diffusion problems. We train a neural network once for
the entire class of PDEs, using an efficient and unsupervised loss
function. Our tests demonstrate improved convergence rates compared to the
widely used Black-Box multigrid scheme, suggesting that our method
successfully learned rules for constructing prolongation matrices.

*Host: *Greg Shakhnarovich <greg at ttic.edu>

-- 
*Alicia McClarin*
*Toyota Technological Institute at Chicago*
*6045 S. Kenwood Ave., **Office 510*
*Chicago, IL 60637*
*773-702-5370*
*www.ttic.edu* <http://www.ttic.edu/>
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