|
|
@ -1,13 +1,89 @@
|
|
|
|
using System;
|
|
|
|
using System;
|
|
|
|
|
|
|
|
using System.Collections;
|
|
|
|
using System.Collections.Generic;
|
|
|
|
using System.Collections.Generic;
|
|
|
|
using System.Linq;
|
|
|
|
using System.Linq;
|
|
|
|
|
|
|
|
|
|
|
|
namespace ZeroLevel.HNSW.Services
|
|
|
|
namespace ZeroLevel.HNSW.Services
|
|
|
|
{
|
|
|
|
{
|
|
|
|
public static class AutomaticGraphClusterer
|
|
|
|
public class Cluster
|
|
|
|
|
|
|
|
: IEnumerable<int>
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
private HashSet<int> _elements = new HashSet<int>();
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public int Count => _elements.Count;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public bool Contains(int id) => _elements.Contains(id);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public bool Add(int id) => _elements.Add(id);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public IEnumerator<int> GetEnumerator()
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
return _elements.GetEnumerator();
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
IEnumerator IEnumerable.GetEnumerator()
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
return _elements.GetEnumerator();
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public void Merge(Cluster cluster)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
foreach (var e in cluster)
|
|
|
|
{
|
|
|
|
{
|
|
|
|
private const int HALF_LONG_BITS = 32;
|
|
|
|
this._elements.Add(e);
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public float MaxDistance(Func<int, int, float> distance, Cluster other)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
var max = float.MinValue;
|
|
|
|
|
|
|
|
foreach (var e in this._elements)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
foreach (var o in other)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
var d = distance(e, o);
|
|
|
|
|
|
|
|
if (d > max)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
max = d;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
return max;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public float MinDistance(Func<int, int, float> distance, Cluster other)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
var min = float.MaxValue;
|
|
|
|
|
|
|
|
foreach (var e in this._elements)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
foreach (var o in other)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
var d = distance(e, o);
|
|
|
|
|
|
|
|
if (d < min)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
min = d;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
return min;
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public float AvgDistance(Func<int, int, float> distance, Cluster other)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
var dist = new List<float>();
|
|
|
|
|
|
|
|
foreach (var e in this._elements)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
foreach (var o in other)
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
|
|
dist.Add(distance(e, o));
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
return dist.Average();
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
public static class AutomaticGraphClusterer
|
|
|
|
|
|
|
|
{
|
|
|
|
private class Link
|
|
|
|
private class Link
|
|
|
|
{
|
|
|
|
{
|
|
|
|
public int Id1;
|
|
|
|
public int Id1;
|
|
|
@ -15,13 +91,13 @@ namespace ZeroLevel.HNSW.Services
|
|
|
|
public float Distance;
|
|
|
|
public float Distance;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
public static List<HashSet<int>> DetectClusters<T>(SmallWorld<T> world)
|
|
|
|
public static List<Cluster> DetectClusters<T>(SmallWorld<T> world)
|
|
|
|
{
|
|
|
|
{
|
|
|
|
var distance = world.DistanceFunction;
|
|
|
|
var distance = world.DistanceFunction;
|
|
|
|
var links = world.GetLinks().SelectMany(pair => pair.Value.Select(id => new Link { Id1 = pair.Key, Id2 = id, Distance = distance(pair.Key, id) })).ToList();
|
|
|
|
var links = world.GetLinks().SelectMany(pair => pair.Value.Select(id => new Link { Id1 = pair.Key, Id2 = id, Distance = distance(pair.Key, id) })).ToList();
|
|
|
|
|
|
|
|
|
|
|
|
// 1. Find R - bound between intra-cluster distances and out-of-cluster distances
|
|
|
|
// 1. Find R - bound between intra-cluster distances and out-of-cluster distances
|
|
|
|
var histogram = new Histogram(HistogramMode.SQRT, links.Select(l => l.Distance));
|
|
|
|
var histogram = new Histogram(HistogramMode.LOG, links.Select(l => l.Distance));
|
|
|
|
int threshold = histogram.CuttOff();
|
|
|
|
int threshold = histogram.CuttOff();
|
|
|
|
var min = histogram.Bounds[threshold - 1];
|
|
|
|
var min = histogram.Bounds[threshold - 1];
|
|
|
|
var max = histogram.Bounds[threshold];
|
|
|
|
var max = histogram.Bounds[threshold];
|
|
|
@ -39,7 +115,7 @@ namespace ZeroLevel.HNSW.Services
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
// 3. Extract clusters
|
|
|
|
// 3. Extract clusters
|
|
|
|
List<HashSet<int>> clusters = new List<HashSet<int>>();
|
|
|
|
List<Cluster> clusters = new List<Cluster>();
|
|
|
|
foreach (var l in resultLinks)
|
|
|
|
foreach (var l in resultLinks)
|
|
|
|
{
|
|
|
|
{
|
|
|
|
var id1 = l.Id1;
|
|
|
|
var id1 = l.Id1;
|
|
|
@ -62,7 +138,7 @@ namespace ZeroLevel.HNSW.Services
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (found == false)
|
|
|
|
if (found == false)
|
|
|
|
{
|
|
|
|
{
|
|
|
|
var c = new HashSet<int>();
|
|
|
|
var c = new Cluster();
|
|
|
|
c.Add(id1);
|
|
|
|
c.Add(id1);
|
|
|
|
c.Add(id2);
|
|
|
|
c.Add(id2);
|
|
|
|
clusters.Add(c);
|
|
|
|
clusters.Add(c);
|
|
|
|