<p>In <a href="https://github.com/mlpack/mlpack/pull/726#discussion_r73707399">src/mlpack/core/tree/binary_space_tree/typedef.hpp</a>:</p>
<pre style='color:#555'>&gt; @@ -135,6 +135,20 @@ using MeanSplitBallTree = BinarySpaceTree&lt;MetricType,
&gt;                                            bound::BallBound,
&gt;                                            MeanSplit&gt;;
&gt;  
&gt; +template&lt;typename MetricType, typename StatisticType, typename MatType&gt;
&gt; +using RPTreeMax = BinarySpaceTree&lt;MetricType,
&gt; +                                  StatisticType,
&gt; +                                  MatType,
&gt; +                                  bound::HRectBound,
&gt; +                                  RPTreeMaxSplit&gt;;
&gt; +
&gt; +template&lt;typename MetricType, typename StatisticType, typename MatType&gt;
&gt; +using RPTreeMean = BinarySpaceTree&lt;MetricType,
&gt; +                                  StatisticType,
&gt; +                                  MatType,
&gt; +                                  bound::HRectBound,
&gt; +                                  RPTreeMeanSplit&gt;;
</pre>
<p>Maybe you are right. These names are used in Dasgupta's paper "Random projection trees and low dimensional manifolds". I guess the mean split is the "default" since I saw that in another paper.</p>

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