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  2. Nearest neighbor search - Wikipedia

    en.wikipedia.org/wiki/Nearest_neighbor_search

    Formally, the nearest-neighbor (NN) search problem is defined as follows: given a set S of points in a space M and a query point q ∈ M, find the closest point in S to q. Donald Knuth in vol. 3 of The Art of Computer Programming (1973) called it the post-office problem, referring to an application of assigning to a residence the nearest post ...

  3. Nearest neighbour algorithm - Wikipedia

    en.wikipedia.org/wiki/Nearest_neighbour_algorithm

    The nearest neighbour algorithm was one of the first algorithms used to solve the travelling salesman problem approximately. In that problem, the salesman starts at a random city and repeatedly visits the nearest city until all have been visited. The algorithm quickly yields a short tour, but usually not the optimal one.

  4. Nearest neighbor - Wikipedia

    en.wikipedia.org/wiki/Nearest_neighbor

    Nearest neighbor graph in geometry; Nearest neighbor function in probability theory; Nearest neighbor decoding in coding theory; The k-nearest neighbor algorithm in machine learning, an application of generalized forms of nearest neighbor search and interpolation; The nearest neighbour algorithm for approximately solving the travelling salesman ...

  5. k-nearest neighbors algorithm - Wikipedia

    en.wikipedia.org/wiki/K-nearest_neighbors_algorithm

    An object is classified by a plurality vote of its neighbors, with the object being assigned to the class most common among its k nearest neighbors (k is a positive integer, typically small). If k = 1, then the object is simply assigned to the class of that single nearest neighbor. The k-NN algorithm can also be generalized for regression.

  6. Nearest neighbour distribution - Wikipedia

    en.wikipedia.org/wiki/Nearest_neighbour_distribution

    In probability and statistics, a nearest neighbor function, nearest neighbor distance distribution, [1] nearest-neighbor distribution function [2] or nearest neighbor distribution [3] is a mathematical function that is defined in relation to mathematical objects known as point processes, which are often used as mathematical models of physical phenomena representable as randomly positioned ...

  7. Nearest neighbor graph - Wikipedia

    en.wikipedia.org/wiki/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 has a vertex for each point, and a directed edge from p to q whenever q is a nearest neighbor of p, a point whose distance from p is minimum among all the given points other than p itself. [1]

  8. Proximity problems - Wikipedia

    en.wikipedia.org/wiki/Proximity_problems

    Closest point query / nearest neighbor query: Given N points, find one with the smallest distance to a given 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 geometry): Given N points, find two with the largest distance between them

  9. Isomap - Wikipedia

    en.wikipedia.org/wiki/Isomap

    Determine the neighbors of each point. All points in some fixed radius. K nearest neighbors. Construct a neighborhood graph. Each point is connected to other if it is a K nearest neighbor. Edge length equal to Euclidean distance. Compute shortest path between two nodes. Dijkstra's algorithm; Floyd–Warshall algorithm; Compute lower-dimensional ...

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