science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken pairwise, between the elements... 31 KB (3,983 words) - 12:32, 3 January 2024 |
In mathematics, a Euclidean distance matrix is an n×n matrix representing the spacing of a set of n points in Euclidean space. For points x1,x2,…,xn{\displaystyle... 17 KB (2,226 words) - 02:22, 3 January 2024 |
Computing the Levenshtein distance is based on the observation that if we reserve a matrix to hold the Levenshtein distances between all prefixes of the... 20 KB (2,432 words) - 11:49, 22 April 2024 |
Neighbor joining (section First distance matrix update) of the distance between each pair of taxa (e.g., species or sequences) to create the phylogenetic tree. Neighbor joining takes a distance matrix, which... 21 KB (2,883 words) - 21:10, 14 December 2023 |
0)-adjacency matrix. This matrix is used in studying strongly regular graphs and two-graphs. The distance matrix has in position (i, j) the distance between... 20 KB (2,445 words) - 14:00, 24 April 2024 |
Distance matrices are used in phylogeny as non-parametric distance methods and were originally applied to phenetic data using a matrix of pairwise distances... 14 KB (2,016 words) - 20:26, 18 January 2024 |
squared distance. The collection of all squared distances between pairs of points from a finite set may be stored in a Euclidean distance matrix, and is... 25 KB (3,188 words) - 23:31, 17 March 2024 |
similarity matrix (or a dissimilarity matrix). At each step, the nearest two clusters are combined into a higher-level cluster. The distance between any... 17 KB (2,419 words) - 00:39, 2 September 2023 |
_{N})^{\mathsf {T}}} and positive-definite covariance matrix S {\displaystyle S} , the Mahalanobis distance of a point x → = ( x 1 , x 2 , x 3 , … , x N ) T... 18 KB (2,578 words) - 21:08, 29 April 2024 |
Min-plus matrix multiplication, also known as distance product, is an operation on matrices. Given two n × n {\displaystyle n\times n} matrices A = (... 1 KB (228 words) - 16:11, 11 August 2023 |
dendrogram) First distance matrix update We then proceed to update the initial proximity matrix D 1 {\displaystyle D_{1}} into a new proximity matrix D 2 {\displaystyle... 16 KB (2,475 words) - 01:54, 2 September 2023 |
dendrogram) First distance matrix update We then proceed to update the initial proximity matrix D 1 {\displaystyle D_{1}} into a new proximity matrix D 2 {\displaystyle... 14 KB (2,163 words) - 11:47, 17 December 2023 |
such norms are referred to as matrix norms. Matrix norms differ from vector norms in that they must also interact with matrix multiplication. Given a field... 26 KB (4,447 words) - 05:14, 20 April 2024 |
ultimately determining if any real symmetric matrix is a Euclidean distance matrix in the field of Distance geometry. Karl Menger was a young geometry professor... 22 KB (4,722 words) - 18:44, 3 March 2024 |
each program) that are available in the package include parsimony, distance matrix, and likelihood methods, including bootstrapping and consensus trees... 17 KB (1,183 words) - 13:11, 31 October 2023 |
matrix is a graphical representation of similar sequences in a data series. Similarity can be explained by different measures, like spatial distance (distance... 4 KB (542 words) - 07:01, 24 August 2023 |
List of named matrices (redirect from List of matrix) matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries... 31 KB (1,336 words) - 00:12, 30 November 2023 |
skew-symmetric matrix. Other examples are the adjacency matrix of a finite simple graph, and a distance matrix or Euclidean distance matrix. In other words... 3 KB (396 words) - 00:57, 30 November 2023 |
inferring the supporting tree from one distance matrix and then for adding reticulation branches using another distance matrix. Such an algorithm can be useful... 10 KB (1,186 words) - 14:14, 15 October 2023 |
else u {\displaystyle u} is a pseudo-peripheral vertex. Distance matrix Resistance distance Betweenness centrality Centrality Closeness Degree diameter... 7 KB (927 words) - 23:37, 6 January 2024 |
an example. Each axis on a PCA plot is an eigenvector of the covariance matrix of shape variables. The first axis accounts for maximum variation in the... 38 KB (4,135 words) - 02:25, 2 May 2024 |
parsimony), UPGMA, Bayesian phylogenetic inference, maximum likelihood and distance matrix methods. List of phylogenetic tree visualization software Patterson... 34 KB (1,660 words) - 01:07, 29 February 2024 |
by computing the k-mer distance for every pair of input sequences to create a distance matrix. UPGMA clusters the distance matrix to produce a binary tree... 7 KB (607 words) - 16:30, 3 December 2023 |
Medoid (section Distance matrix) Dissimilarity (which is 1 - the Jaccard Index). This distance matrix is used to calculate the distance between two points on a one-dimensional graph.[citation... 33 KB (4,019 words) - 16:06, 24 April 2024 |
adjacency matrix, n = |V| the number of nodes and D the distance matrix. The basic idea to parallelize the algorithm is to partition the matrix and split... 17 KB (3,034 words) - 16:57, 4 May 2024 |
defined by Ward's method, in time proportional to the size of the input distance matrix and space linear in the number of points being clustered. Ward's minimum... 6 KB (1,009 words) - 19:26, 28 December 2023 |
into the tree calculation. Distance-matrix methods of phylogenetic analysis explicitly rely on a measure of "genetic distance" between the sequences being... 64 KB (8,072 words) - 09:56, 12 March 2024 |