title: How can I study the properties of outliers in high-dimensional data?
body: <p>I have a bundle of high-dimensional data and the instances are labeled as outliers or not. I am looking to get some insights around <em>where these outliers reside within the data.</em> I seek to answer questions like:</p>
  
  <ol>
  <li>Are the outliers spread far apart from each other? Or are they clustered together?</li>
  <li>Are the outliers lying 'in-between' clusters of good data? Or are they on the 'edge' boundaries of the data?</li>
  <li>If outliers are clustered together, how do these cluster densities compare with clusters of good data?</li>
  <li>'Where' are the outliers?</li>
  </ol>
  
  <p>What kind of techniques will let me find these insights? If the data was 2 or 3-dimensional, I can easily plot the data and just <em>look</em> at it. But I can't do it high-dimensional data.</p>