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From "Amol Singh (JIRA)" <j...@apache.org>
Subject [jira] [Commented] (MATH-1367) DBSCAN Implementation does not count the seed point itself as part of its neighbors count
Date Tue, 24 May 2016 14:34:12 GMT

    [ https://issues.apache.org/jira/browse/MATH-1367?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15298255#comment-15298255
] 

Amol Singh commented on MATH-1367:
----------------------------------

Okay, I'll do that. 

https://en.wikipedia.org/wiki/DBSCAN#cite_note-dbscan-1 Not the most reliable source but if
you look at the pseudocode, thats how others have interpreted this algorithm as well. 
{quote}
regionQuery(P, eps)
   return all points within P's eps-neighborhood (including P)
{quote}

I'll submit a patch. 

> DBSCAN Implementation does not count the seed point itself as part of its neighbors count
> -----------------------------------------------------------------------------------------
>
>                 Key: MATH-1367
>                 URL: https://issues.apache.org/jira/browse/MATH-1367
>             Project: Commons Math
>          Issue Type: Bug
>    Affects Versions: 3.6.1
>            Reporter: Amol Singh
>             Fix For: 4.0
>
>
> The DSCAN paper describes the eps-neighborhood of a point as 
> https://www.aaai.org/Papers/KDD/1996/KDD96-037.pdf (Page 2)
> Definition 1: (Eps-neighborhood of a point) The Eps-neighborhood of a point p, denoted
by NEps(p), is defined by NEps(p) = {q ∈ D | dist(p,q)< Eps} 
> in other words for all q points that are a member of database D whose distance from p
is less that Eps should be classified as a neighbor. This should include the point itself.

> The implementation however has a reference check to the point itself and does not add
it to its neighbors list.
> private List<T> getNeighbors(final T point, final Collection<T> points) {
>         final List<T> neighbors = new ArrayList<T>();
>         for (final T neighbor : points) {
>             if (point != neighbor && distance(neighbor, point) <= eps) {
>                 neighbors.add(neighbor);
>             }
>         }
>         return neighbors;
>     } 
> "point != neighbor "  check should be removed here. Keeping this check effectively is
raising the minPts count by 1. Other third party QuadTree backed DBSCAN implementations consider
the center point in its neighbor count E.g. bmw-carit library. 
> If this is infact by design, the check should use value equality instead of reference
equality. T extends Clusterable<T> , the client should be able to define this behavior.




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