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    <description>recent bookmarks from Vaguery</description>
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    <title>[2412.08186] Towards Automated Algebraic Multigrid Preconditioner Design Using Genetic Programming for Large-Scale Laser Beam Welding Simulations</title>
    <dc:date>2024-12-21T14:58:57+00:00</dc:date>
    <link>https://arxiv.org/abs/2412.08186</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA[Multigrid methods are asymptotically optimal algorithms ideal for large-scale simulations. But, they require making numerous algorithmic choices that significantly influence their efficiency. Unlike recent approaches that learn optimal multigrid components using machine learning techniques, we adopt a complementary strategy here, employing evolutionary algorithms to construct efficient multigrid cycles from available individual components. This technology is applied to finite element simulations of the laser beam welding process. The thermo-elastic behavior is described by a coupled system of time-dependent thermo-elasticity equations, leading to nonlinear and ill-conditioned systems. The nonlinearity is addressed using Newton's method, and iterative solvers are accelerated with an algebraic multigrid (AMG) preconditioner using hypre BoomerAMG interfaced via PETSc. This is applied as a monolithic solver for the coupled equations. To further enhance solver efficiency, flexible AMG cycles are introduced, extending traditional cycle types with level-specific smoothing sequences and non-recursive cycling patterns. These are automatically generated using genetic programming, guided by a context-free grammar containing AMG rules. Numerical experiments demonstrate the potential of these approaches to improve solver performance in large-scale laser beam welding simulations.
]]></description>
<dc:subject>genetic-programming manufacturing applied-mathematics control-theory rather-interesting to-write-about consider:process-control</dc:subject>
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<item rdf:about="http://scienceblogs.com/appliedstatistics/2010/04/random_matrices_in_the_news.php">
    <title>Random matrices in the news : Applied Statistics</title>
    <dc:date>2010-05-24T20:34:03+00:00</dc:date>
    <link>http://scienceblogs.com/appliedstatistics/2010/04/random_matrices_in_the_news.php</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["Now, to return to the news article. If the eigenvalue distribution is an attractor, this means that a lot of physical and social phenomena which can be modeled by eigenvalues (including, apparently, quantum energy levels and some properties of statistical tests) might have a common structure. Just as, at a similar level, we see the normal distribution and related functions in all sorts of unusual places."
]]></description>
<dc:subject>random-matrix statistics complexology physics applied-mathematics universality</dc:subject>
<dc:identifier>https://pinboard.in/u:Vaguery/b:2c202d07641b/</dc:identifier>
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<item rdf:about="http://arxiv.org/abs/math/9404236v1">
    <title>[math/9404236v1] On proof and progress in mathematics</title>
    <dc:date>2010-05-14T14:25:25+00:00</dc:date>
    <link>http://arxiv.org/abs/math/9404236v1</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["What is it that mathematicians accomplish?"
]]></description>
<dc:subject>mathematics theory-and-practice-sitting-in-a-tree applied-mathematics theory practice pragmatism-it-ain't</dc:subject>
<dc:identifier>https://pinboard.in/u:Vaguery/b:0c1cf8fd3217/</dc:identifier>
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<item rdf:about="http://arxiv.org/abs/1003.4422">
    <title>Shuffling with ordered cards</title>
    <dc:date>2010-03-24T13:30:18+00:00</dc:date>
    <link>http://arxiv.org/abs/1003.4422</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["…We can also consider what happens when instead of only considering a single type of shuffling we consider combining the j! different shuffling rules that come from all the possible rearrangements of the ordering of the labels. And of course, perhaps the most important thing missing right now is a good magic trick that can be performed using this shuffling rule, which was the original motivation of Larry Carter and J.-C. Reyes who first suggested this problem!"
]]></description>
<dc:subject>mathematics open-questions Nudge Nudge-targets combinatorics applied-mathematics</dc:subject>
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<item rdf:about="http://www.headandneckoncology.org/content/1/1/34">
    <title>Head &amp; Neck Oncology | Full text | Potential for Raman spectroscopy to provide cancer screening using a peripheral blood sample</title>
    <dc:date>2009-12-16T21:40:22+00:00</dc:date>
    <link>http://www.headandneckoncology.org/content/1/1/34</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["The mean spectra were provided as input sequences to the Implicit Context Representation Cartesian Genetic Programming algorithm (IRCGP)[14,15]. IRCGP uses evolutionary computing methodology to learn classifiers that are capable of distinguishing between data classes. Induced classifiers take the form of programmatic expressions applied to particular offsets within the input data sequences. These expressions are composed from a set of simple mathematical functions. Both the choice and connectivity of the functions, and the choice of offsets used within the input sequences, are determined by the algorithm's evolutionary process. The input sequences were divided equally into training and test sets. To prevent over-learning, training of the classifiers was stopped once classification accuracy of the test sequences started to fall."
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<item rdf:about="http://www.coin-or.org/index.html">
    <title>Computational Infrastructure for Operations Research Home Page</title>
    <dc:date>2009-09-30T14:50:34+00:00</dc:date>
    <link>http://www.coin-or.org/index.html</link>
    <dc:creator>Vaguery</dc:creator><description><![CDATA["The Computational Infrastructure for Operations Research (COIN-OR**, or simply COIN)  project is an initiative to spur the development of open-source software for the operations research community."
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    <dc:date>2008-06-04T00:06:07+00:00</dc:date>
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<item rdf:about="http://www.dna.caltech.edu/~pwkr/">
    <title>Paul W.K. Rothemund - Home Page</title>
    <dc:date>2008-04-23T21:11:17+00:00</dc:date>
    <link>http://www.dna.caltech.edu/~pwkr/</link>
    <dc:creator>Vaguery</dc:creator><dc:subject>Nanotechnology DNA design templates algorithms applied-mathematics engineering</dc:subject>
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