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<div class="section" id="list-of-implemented-kernels">
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<h1>List of implemented kernels<a class="headerlink" href="#list-of-implemented-kernels" title="Permalink to this headline">¶</a></h1>
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<p>The following table shows the implemented kernels in GPy and gives the details of the implemented function for each kernel.</p>
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<table border="1" class="docutils">
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<col width="16%" />
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<thead valign="bottom">
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<tr class="row-odd"><th class="head">NAME</th>
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<th class="head">Dimension</th>
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<th class="head">ARD</th>
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<th class="head">get/set</th>
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<th class="head">K</th>
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<th class="head">Kdiag</th>
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<th class="head">dK_dtheta</th>
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<th class="head">dKdiag_dtheta</th>
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<th class="head">dK_dX</th>
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<th class="head">dKdiag_dX</th>
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<th class="head">psi0</th>
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<th class="head">psi1</th>
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<th class="head">psi2</th>
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</tr>
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</thead>
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<tbody valign="top">
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<tr class="row-even"><td>bias</td>
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<td>n</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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</tr>
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<tr class="row-odd"><td>Brownian</td>
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<td>1</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-even"><td>exponential</td>
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<td>n</td>
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<td>yes</td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-odd"><td>finite_dimensional</td>
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<td>n</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-even"><td>linear</td>
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<td>n</td>
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<td>yes</td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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</tr>
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<tr class="row-odd"><td>Matern32</td>
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<td>n</td>
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<td>yes</td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-even"><td>Matern52</td>
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<td>n</td>
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<td>yes</td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-odd"><td>periodic_exponential</td>
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<td>1</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-even"><td>periodic_Matern32</td>
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<td>1</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-odd"><td>periodic_Matern52</td>
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<td>1</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-even"><td>rational quadratic</td>
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<td>1</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-odd"><td>rbf</td>
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<td>n</td>
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<td>yes</td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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</tr>
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<tr class="row-even"><td>spline</td>
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<td>1</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td> </td>
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<td> </td>
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<td> </td>
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</tr>
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<tr class="row-odd"><td>white</td>
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<td>n</td>
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<td> </td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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<td><img alt="tick" src="_images/tick.png" /></td>
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</tr>
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</tbody>
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</table>
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<p>Depending on the use, all functions may not be required</p>
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<blockquote>
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<div><ul class="simple">
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<li><code class="docutils literal"><span class="pre">get/set,</span> <span class="pre">K,</span> <span class="pre">Kdiag</span></code>: compulsory</li>
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<li><code class="docutils literal"><span class="pre">dK_dtheta</span></code>: necessary to optimize the model</li>
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<li><code class="docutils literal"><span class="pre">dKdiag_dtheta</span></code>: sparse models, BGPLVM, GPs with uncertain inputs</li>
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<li><code class="docutils literal"><span class="pre">dK_dX</span></code>: sparse models, GPLVM, BGPLVM, GPs with uncertain inputs</li>
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<li><code class="docutils literal"><span class="pre">dKdiag_dX</span></code>: sparse models, BGPLVM, GPs with uncertain inputs</li>
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<li><code class="docutils literal"><span class="pre">psi0,</span> <span class="pre">psi1,</span> <span class="pre">psi2</span></code>: BGPLVM, GPs with uncertain inputs</li>
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</ul>
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</div></blockquote>
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</div>
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</div>
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</div>
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<h3>Quick search</h3>
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<input type="hidden" name="check_keywords" value="yes" />
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<input type="hidden" name="area" value="default" />
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</form>
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<p class="searchtip" style="font-size: 90%">
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Enter search terms or a module, class or function name.
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<script type="text/javascript">$('#searchbox').show(0);</script>
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<h3>Navigation</h3>
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<ul>
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<li class="right" style="margin-right: 10px">
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<a href="genindex.html" title="General Index"
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>index</a></li>
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<li class="right" >
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<a href="py-modindex.html" title="Python Module Index"
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>modules</a> |</li>
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<li class="nav-item nav-item-0"><a href="index.html">GPy documentation</a> »</li>
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© Copyright 2013, Author.
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