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    <title>Statistical Modeling, Causal Inference, and Social Science: Bayesian prediction with high-order interactions!!</title>
    <link>http://www.stat.columbia.edu/~cook/movabletype/archives/2008/05/bayesian_predic.html</link>
    <description>Longhai Li did a really cool Ph.D. thesis (under the supervision of Radford Neal) on computing for models with deep interactions. The website containing all stuff about this software, including the R packages, documentations and references, is here and here....</description>
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      <title>Bayesian prediction with high-order interactions!!</title>
      <description>&lt;p&gt;Longhai Li did a really cool Ph.D. thesis (under the supervision of Radford Neal) on computing for models with deep interactions.  The website containing all stuff about this software, including&lt;br /&gt;
the R packages, documentations and references, is &lt;a href=&quot;http://math.usask.ca/~longhai/software/BPHO/release.html&quot;&gt;here&lt;/a&gt; and &lt;a href=&quot;http://www.utstat.toronto.edu/~longhai/software/BPHO/release.html&quot;&gt;here&lt;/a&gt;.  Here's a quick description (from the website):&lt;/p&gt;

&lt;blockquote&gt;This R package is used in two situations. The first is to predict the next outcome based on the previous states of a discrete sequence. The second is to classify a discrete response based on a number of discrete covariates. In both situations, we use Bayesian logistic regression models that consider the high-order interactions. The time arising from using high-order interactions is reduced greatly by our compression technique that represents a group of original parameters as a single one in MCMC step. In this version, we use log-normal prior for the hyperparameters. When it is used for the second situation --- classification, we consider the full set of interaction patterns up to a specified order.&lt;/blockquote&gt;

&lt;p&gt;And &lt;a href=&quot;http://math.usask.ca/~longhai/doc/seqpred/seqpred.pdf&quot;&gt;here's the research paper&lt;/a&gt; (by Longhai and Radford).  I wonder if they've achieved some of my goals in wanting &lt;a href=&quot;http://www.stat.columbia.edu/~gelman/research/unpublished/priors10.pdf&quot;&gt;weakly informative priors&lt;/a&gt; for models with interactions.  That Cauchy thing rings a bell.&lt;/p&gt;

&lt;p&gt;P.S. to Longhai:  I don't recommend keeping your software in two places.  Won't it be a pain to keep both sites up-to-date?  Or maybe it's done automatically, I don't know.&lt;/p&gt;</description>
      <link>http://www.stat.columbia.edu/~cook/movabletype/archives/2008/05/bayesian_predic.html</link>
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