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algorithms/TemperedSMC.html

@@ -529,7 +529,7 @@ <h3>Experimental Setup<a class="headerlink" href="#experimental-setup" title="Li
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@@ -577,8 +577,8 @@ <h3>Sample with HMC<a class="headerlink" href="#sample-with-hmc" title="Link to
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.25 s, sys: 86.5 ms, total: 2.34 s
-Wall time: 2.01 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.66 s, sys: 109 ms, total: 2.77 s
+Wall time: 2.09 s
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@@ -620,8 +620,8 @@ <h3>Sample with NUTS<a class="headerlink" href="#sample-with-nuts" title="Link t
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 45.2 s, sys: 114 ms, total: 45.3 s
-Wall time: 44.5 s
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+Wall time: 40.4 s
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algorithms/mclmc.html

@@ -687,8 +687,8 @@ <h2>Validate the choice of <span class="math notranslate nohighlight">\(\epsilon
 <h2>A more complex example<a class="headerlink" href="#a-more-complex-example" title="Link to this heading">#</a></h2>
 <p>We now consider a more complex model, of stock volatility.</p>
 <p>The returns <span class="math notranslate nohighlight">\(r_n\)</span> are modeled by a Student’s-t distribution whose scale (volatility) <span class="math notranslate nohighlight">\(R_n\)</span> is time varying and unknown. The prior for <span class="math notranslate nohighlight">\(\log R_n\)</span> is a Gaussian random walk, with an exponential distribution of the random walk step-size <span class="math notranslate nohighlight">\(\sigma\)</span>. An exponential prior is also taken for the Student’s-t degrees of freedom <span class="math notranslate nohighlight">\(\nu\)</span>. The generative process of the data is:</p>
-<div class="amsmath math notranslate nohighlight" id="equation-1cc8d9bb-9b1a-4d48-90ac-ff5ef5d0ac15">
-<span class="eqno">(1)<a class="headerlink" href="#equation-1cc8d9bb-9b1a-4d48-90ac-ff5ef5d0ac15" title="Permalink to this equation">#</a></span>\[\begin{align}
+<div class="amsmath math notranslate nohighlight" id="equation-911250f7-e377-498c-973c-38c3ce3238f3">
+<span class="eqno">(1)<a class="headerlink" href="#equation-911250f7-e377-498c-973c-38c3ce3238f3" title="Permalink to this equation">#</a></span>\[\begin{align}
     &amp;r_n / R_n \sim \text{Student's-t}(\nu) \qquad
     &amp;&amp;\nu \sim \text{Exp}(\lambda = 1/10) \\ \nonumber
     &amp;\log R_n \sim \mathcal{N}(\log R_{n-1}, \sigma) \qquad