• Thumbnail for Nearest neighbor graph
    The nearest neighbor graph (NNG) is a directed graph defined for a set of points in a metric space, such as the Euclidean distance in the plane. The NNG...
    7 KB (879 words) - 01:06, 4 April 2024
  • Nearest neighbor graph in geometry Nearest neighbor function in probability theory Nearest neighbor decoding in coding theory The k-nearest neighbor algorithm...
    878 bytes (129 words) - 17:40, 7 May 2024
  • In statistics, the k-nearest neighbors algorithm (k-NN) is a non-parametric supervised learning method. It was first developed by Evelyn Fix and Joseph...
    32 KB (4,333 words) - 23:48, 16 April 2025
  • Nearest neighbor search (NNS), as a form of proximity search, is the optimization problem of finding the point in a given set that is closest (or most...
    27 KB (3,341 words) - 05:28, 22 June 2025
  • Thumbnail for Hierarchical navigable small world
    (HNSW) algorithm is a graph-based approximate nearest neighbor search technique used in many vector databases. Nearest neighbor search without an index...
    7 KB (638 words) - 13:36, 15 July 2025
  • paths in the nearest neighbor graph of the clusters. Every such path will eventually terminate at a pair of clusters that are nearest neighbors of each other...
    27 KB (3,651 words) - 12:31, 2 July 2025
  • The k-nearest neighbor algorithm can be used for defining a k-nearest neighbor smoother as follows. For each point X0, take m nearest neighbors and estimate...
    8 KB (1,484 words) - 20:26, 3 April 2025
  • Thumbnail for Gabriel graph
    Euclidean minimum spanning tree, the relative neighborhood graph, and the nearest neighbor graph. It is an instance of a beta-skeleton. Like beta-skeletons...
    5 KB (506 words) - 01:32, 10 June 2023
  • k-nearest neighbors algorithm (k-NN), a method for classifying objects Nearest neighbor graph (k-NNG), a graph connecting each point to its k nearest neighbors...
    927 bytes (156 words) - 04:26, 24 October 2023
  • structure for maintenance of all the nearest neighbors on moving objects. It is named for its relation to the Yao graph, which is named after Andrew Yao....
    3 KB (328 words) - 14:10, 4 August 2021
  • Thumbnail for Delaunay triangulation
    vice versa. The closest neighbor b to any point p is on an edge bp in the Delaunay triangulation since the nearest neighbor graph is a subgraph of the Delaunay...
    29 KB (3,255 words) - 08:43, 18 June 2025
  • Planar separator theorem (category Statements about planar graphs)
    planar graphs, separator theorems have been applied to other classes of graphs including graphs excluding a fixed minor, nearest neighbor graphs, and finite...
    73 KB (10,072 words) - 06:45, 12 May 2025
  • Thumbnail for Godfried Toussaint
    Three other well known proximity graphs are the nearest neighbor graph, the Urquhart graph, and the Gabriel graph. The first is contained in the minimum...
    10 KB (1,217 words) - 06:40, 27 September 2024
  • The nearest neighbour algorithm was one of the first algorithms used to solve the travelling salesman problem approximately. In that problem, the salesman...
    4 KB (466 words) - 20:53, 9 December 2024
  • Thumbnail for Point-set triangulation
    {\displaystyle {\mathcal {P}}} in the plane contains the Gabriel graph, the nearest neighbor graph and the minimal spanning tree of P {\displaystyle {\mathcal...
    12 KB (1,146 words) - 03:30, 25 November 2024
  • message passing, such that graph nodes iteratively update their representations by exchanging information with their neighbors. Several GNN architectures...
    43 KB (4,802 words) - 14:49, 3 August 2025
  • manual labels. Text classification utilizes a graph-based technique, where the nearest neighbor graph is built from network embeddings, and labels are...
    5 KB (536 words) - 10:09, 21 June 2025
  • given items and distances. Then, applying Kruskal's algorithm to the sparse graph formed by the edges of the minimum spanning tree produces the clustering...
    17 KB (2,496 words) - 13:02, 12 July 2025
  • bisector of the cone) and selects the nearest neighbor with respect to orthogonal projections to that ray. The resulting graph exhibits several good spanner properties...
    8 KB (1,158 words) - 12:15, 8 July 2025
  • Thumbnail for Nearest neighbor value interpolation
    In mathematics applied to computer graphics, nearest neighbor value interpolation is an advanced method of image interpolation. This method fills the empty...
    5 KB (479 words) - 07:19, 16 March 2025
  • Bivariegated graph Cage (graph theory) Cayley graph Circle graph Clique graph Cograph Common graph Complement of a graph Complete graph Cubic graph Cycle graph De...
    7 KB (663 words) - 02:52, 24 September 2024
  • Thumbnail for Penny graph
    penny graphs have also been called minimum-distance graphs, smallest-distance graphs, or closest-pairs graphs. Similarly, in a mutual nearest neighbor graph...
    18 KB (1,974 words) - 19:39, 23 May 2025
  • query point All nearest neighbors problem (construction of the nearest-neighbor graph): Given N points, find a closest one for each of them Diameter (computational...
    4 KB (514 words) - 00:29, 27 December 2024
  • Thumbnail for Laves graph
    are nearest neighbors, at distance 2 {\displaystyle {\sqrt {2}}} . It can also be defined, divorced from its geometry, as an abstract undirected graph, a...
    23 KB (2,807 words) - 20:07, 20 July 2025
  • Thumbnail for Trajectory inference
    onto the nearest point to them along that path. p-Creode finds the most likely path through a density-adjusted k-nearest neighbor graph. Graphs from an...
    16 KB (1,865 words) - 19:19, 9 October 2024
  • effect of high dimensionality on distance functions concerns k-nearest neighbor (k-NN) graphs constructed from a data set using a distance function. As the...
    32 KB (4,186 words) - 03:27, 8 July 2025
  • Farthest neighbor may refer to: Farthest neighbor graph in geometry The farthest neighbor method for calculating distances between clusters in hierarchical...
    287 bytes (57 words) - 09:06, 20 June 2022
  • Changxu; Cai, Deng (2017). "Fast Approximate Nearest Neighbor Search With The Navigating Spreading-out Graph". arXiv:1707.00143 [cs.LG]. Jégou, H; Douze...
    14 KB (1,163 words) - 10:59, 31 July 2025
  • items. Vector databases typically implement one or more approximate nearest neighbor algorithms, so that one can search the database with a query vector...
    24 KB (1,702 words) - 20:50, 4 August 2025
  • Wang, Yong (August 2023). "CAGRA: Highly Parallel Graph Construction and Approximate Nearest Neighbor Search for GPUs". arXiv:2308.15136 [cs.DS]. "Install...
    12 KB (1,002 words) - 11:50, 19 July 2025