distance matrix alternative. Below, we’ve compared our NextBillion. distance matrix alternative

 
 Below, we’ve compared our NextBilliondistance matrix alternative  As of now I am using Google's distance Matrix API for one of my project

With the Travel Time Matrix API, you can calculate travel times between thousands of origins and destinations simultaneously, for any mode of transport – including driving, public transport, cycling and walking. 0. kstest (rvs, cdf, args = (), N = 20, alternative = 'two-sided', method = 'auto') [source] # Performs the (one-sample or two-sample) Kolmogorov-Smirnov test for goodness of fit. uphill since 2019. The best GPS Navigation alternative to Distance Matrix API is Google Maps, which is free. d rs = the distance between point r and point s (not to be confused with the dissimilarity notation d rs in the above. I suggest going with DistanceMatrixAPI (link: they are a reliable alternative to the Google distance matrix api at a fraction of the price. As the value of the Cophenetic Correlation Coefficient is quite close to 100%, we can say that the. Distance matrix API Accurate, affordable distance and matrix APIs. WorkWave Route Manager. Run the code above in your browser using DataCamp Workspace. This can quickly add up, particularly for businesses that need to calculate distances frequently. There is an alternative that costs much cheaper than Google API does. y = squareform (Z) With that said, I tried the address you used on the Directions API and included the parameter alternatives and set it to true and it showed an array of three alternate routes: Results are as follows: Route #1. Calculate travel times for website search. multiply(euclidean_distance, euclidean_distance)) euclidean_distance = np. split, africa. 2. 0. . When combined with the SDM method [6] to estimate a distance matrix from multiple genes, they offer a relevant alternative to usual supertree techniques [7]. API uptime. 100 elements per 10 seconds. 328 between points 2 and 4. An alternative (non-linear mapping) is the Sammon’s method. The string identifier or class name of the desired distance metric. 26. I have had good luck with Ward's method described below. 100 elements per 10 seconds. We exhibit the list of graphs with distance. def findEuclideanDistance(a, b): euclidean_distance = a - b euclidean_distance = np. For each pixel in BW, the distance transform assigns a number that is the distance between that pixel and the nearest nonzero pixel of BW. This article explains the. Schematic illustration of the links between packages ggplot2, gtable, grid, egg and gridExtra. distance that shows significant speed improvements by using numba and some optimization. One matrix credit on the free plan includes times from one origin to one hundred destinations. TOPSIS chooses the alternative of shortest the Euclidean distance from the ideal solution and greatest distance from the negative ideal solution. Input array. Search the distance matrix for the nearest (which means most similar) pair of clusters. Download scientific diagram | shows an example of edit distance matrix, where input string T = CATGACTG, pattern P = TACTG, and threshold k = 2. The target matrix is a matrix of that type as well. Figure 2: A quasi-distance matrix D and its tower matrix T Look at T and consider it partitioned into n square sub. In the equation, d^MKD is the Minkowski distance between the data record i and j, k the index of a variable, n the total number of variables y and λ the order of the Minkowski metric. 129 ms. 1) Naive and Dynamic Programming. If the input is a vector array, the distances are computed. 'Calculate Google Maps distance between two addresses Public Function GetDistance (start As String, dest As String) Dim firstVal As String, secondVal As String, lastVal As String. Function dist. I am looking for an alternative to. The NMDS procedure is iterative and takes place over several steps: Define the original positions of communities in multidimensional space. Suppose we have two points P and Q to determine the distance between these points we simply have to calculate the perpendicular distance of the points from X-Axis and Y-Axis. In Recent Advances in Nonsmooth Optimization. The Distance Matrix API is not free; businesses need to pay per request, with prices starting at $5 per 1000 requests. The main issue is that resulting distance matrix will have 8100 elements. , if D. In general, one can define a spectral distance for any matrix representation of a graph; for results on more than just the three we analyze here, see . Unlimited usage. ; Δ = the matrix (usually n x n) representing the dissimilarities. When p = 1, this is equivalent to using manhattan_distance (l1), and euclidean_distance (l2) for p = 2. Route. For example, if there is a barrier in the way, you have to detour. It uses the Pythagorean theorem and the distance value is the result (c) of the equation: $$ c^2 = a^2 + b^2 $$ Manhattan: also called City. One can show that E ( D i j ( X)) = σ p ( c 2 + 1) for i = 1 and j. 2222em space in text mode, or medmuskip. DistVect [] is an accelerated algorithm that computes the distance matrix for aligning huge datasets. It offers turn-by-turn navigation, public transit directions, and 3D flyover views of maps in select areas. A distance matrix is a table that shows the distance between pairs of objects. The reason I want to do that is to filter the list to find the matrix closest to the target one. Due to their wide applicability, distance matrices and related families of matrices have been the focus of. For the default method, a "dist" object, or a matrix (of distances) or an object which can be coerced to such a matrix using as. eval(x, dist). Distance matrices can be calculated. These measures, such as euclidean distance or cosine similarity, can often be found in algorithms such as k-NN, UMAP, HDBSCAN, etc. Transform location site search. Hierarchical Agglomerative. spatial. 9448. Euclidean distance computed by using an alternative algorithm that saves time when the number of predictors is at least 10. , K = KT). This function is able to return one of eight different matrix norms, or one of an infinite number of vector norms (described below), depending on the value of the ord parameter. Here, we will transform our distance matrix into a rank-order matrix, to illustrate how we can use msd on just the rank order points and. this is the value from rvs or cdf corresponding with the KS statistic; i. I simply call the command pdist2(M,N). , a n] and B = [ b 1, b 2,. Let G be a connected graph with V (G) = {v 1,. 1. as_adjmat: An alternative to 'as. If the Gram matrix is positive de nite, we can compute an eigenvector. The alternative is to calculate a relative difference from the diameter for a geometric decay in distance. The distance would be computed between the item in the list and a "target matrix". 2) Approximate solution using MST. Mega-phylogeny method is derivative from the latter, with some improvements during construction of multiple sequence alignments. , the lower-left triangle of the m-by-m distance matrix in column order. Transform location site search. , 0/1) states, and whether the output should be transformed (e. The cosine similarity between two vectors is measured in ‘θ’. 1 • 6 years ago. Search and sort by journey time, not distance. The pairwise distance between observations. It takes the descriptor of one feature in first set and is matched with all other features in second set using some distance calculation. To get the most out of Strava segments the paid app lets you view your live segment performance as you're riding, check out the overall segment leaderboards, and filter by age and weight, and set. It is the most obvious way. geocodezip. (In the matrices of centered distances (A j, k) and (B j,k) all rows and all columns. 599) zM z M : raw distances. F. In a network, a directed graph with weights assigned to the arcs, the distance between two nodes of the network can be defined as the minimum of the sums of the weights on the shortest paths joining the two nodes. Distance data are relevant in several domains and have been used extensively in psychology and sociology based on notions of “similar” and “dissimilar,” or rankings, to quantify the distance between sets of concepts, categories, samples, and so forth. First, it is computationally efficient. Updated on Dec 27, 2015. Alternatives to Googles Distance Matrix service? 1. S is the Subreplication option. pairwise_distances. 005 as per Google's documentation. World Scientific, Singapore; 1995:1–17. 10 References. Image: Author. All three contributions were enlightening and helpful. The distance matrix has in position (i, j) the distance between vertices v i and v j. Are these 2,500 elements per phone or do all phones with my app share the. For example, “Toronto, ON, Canada – All airports” would include Toronto Pearson (YYZ), as well as Toronto Billy Bishop (YTZ). Introducing DistanceAPI, a versatile API that calculates distances between addresses, postcodes, and cities for airline, car, and maritime routes. sqrt(euclidean_distance) return euclidean_distanceA demo of a recent client project. This is the form you’re likely to use most often. 1538 0. The VCF SNPs datasets were used to calculate p-distance between individuals, according to the follow formula to operate the sample i and sample j genetic distance:Built as an alternative to the compute-cosine-similarity package. metrics. Distance is calculated depending on the. The modified TOPSIS method is explained through the following stages. You can set variables to use more or less c code ( use_c and use_nogil) and parallel or serial execution ( parallel ). Another promising a−empts is to generalize metric learning to collaborative recommendations, one representative work is collab-orative metric learning. Route. Unlike the variance-based similarity matrices, a PCA performed using Euclidean similarity identifies parameters that are close to each other. What are some alternatives? When comparing ip2location and distance_api_matrix you can also. Click the Select a project button, then select the same project you set up for the Maps JavaScript API and click Open. Example app Run live code samples on your local machine and favorite code playgrounds with the Maps JavaScript API. I'm pretty familiar with Google's Distance Matrix API, but I'm unsure about one aspect of the Usage Limitations. split, FUN = Vectorize (function (x, y) gDistance (x, y, hausdorff=TRUE))) ( Updated with an example) Share. So in the provided example, you'd be billed 0. High similarity value in the matrix would mean that those individuals’ reactions were more similar than others. Calculates the shortest path between all pairs of vertices in a network. 2. cumulative. And the closest one is returned. g. That is, if you are using Distance Matrix API. published 1. Note that To properly use the Distance Matrix API, you need to have an API Key. In wireless sensor networks for example, the sensor nodes measure receivedFamous quotes containing the words distance, matrix and/or methods: “ Egoism is the law of perspective as it applies to feelings, according to which what is closest to us appears to be large and weighty, while size and weight decrease with our distance from things. instead of simply filling in the values from the array. google; distance; matrix; api; maps; json; node; ecteodoro. Calculate travel time and distance. Given the matrix mx2 and the matrix nx2, each row of matrices represents a 2d point. gemerden 1 accept rate: 0%. Perform the one-sample Kolmogorov-Smirnov test by using kstest. fastdist: Faster distance calculations in python using numba. Usage distSparse(M, method = "euclidean", diag = FALSE) ArgumentsConvert a vector-form distance vector to a square-form distance matrix, and vice-versa. if i am wrong, please post, because i am looking for distance matrices. matrix( sampleDists )[ 1:3, 1:3 ]Matrix or vector norm. The API supports a range of transport modes including Driving, Public Transport, Walking, and Cycling. By default, --distance causes a lower-triangular tab-delimited text file to be written to plink . Alternative Matrix Multiplication which does. Test whether zM z M is significantly. Distance Matrix API The API is one of the best alternatives to the Google Maps API which can help a business find the best routes, reduce delivery times, minimize costs, and. Now, we calculate the cost of node-1 by adding all the reduction elements. Identity-by-state/Hamming. Stream Go. It takes two optional params. Construct an initial configuration of. In R Programming Language, there are several functions available for creating a distance matrix such as dist(), daisy(), and vegdist() from the stats, cluster, and vegan packages respectively. distance: 85. 3422 0. Top 7 Distance Matrix API Free Alternatives. As seen in the previous articles, in Branch and Bound method, for current node in tree, we compute a bound on. Bandwidth Immediacy Matrix The Green Zone: Underappreciated Workhorses. The distance matrices specifically are to be used to determine the distances of sea and air transports, as they have a manageable number of possible start and end points that are used. Is the distance matrix API affordable? Radar is free up to 100,000 requests per month and only $0. A Euclidean distance matrix D 2R n contains the (squared) pairwise distances between ndata points y i2Rr, i = 1;:::;n. It involves three steps: 1) For each location alternative, determine the fixed and variable costs, 2)For all locations, plot the total-cost lines on the same graph, and 3) Use the lines to determine which alternatives will have the highest and lowest total costs for expected levels of output. It helps you find the ideal route from A to Z, calculates ETAs and distances for matrices of origin and destination locations, and also offers new features. Distance metrics are a key part of several machine learning algorithms. This type of API is useful for applications that need to display distance-related data on a map, such as a fitness tracker or a travel app. matrix (mat) adopts labels as its dimnames. Your answerWhere: d rs = a dissimilarity; s rs = a similarity; Other notation you may come across: i and j = sometimes used in place of s and r to indicate primary and secondary points. If VI is not None, VI will be used as the inverse covariance matrix. This. 0) The distance an unknown. According to Theorem 9. 8757 and 0000. In the following example, we need to perform 5 operations to transform the word “INTENTION” to the word “EXECUTION”, thus Levenshtein. Are these 2,500 elements per phone or do all phones with my app share the. This matrix is symmetric and has a zero diagonal. Let’s take a step back and look at what other tools you could use to. A dynamically generated matrix that uses the Google Distance Matrix API and also generate map images using the Static Map. Improve this question. The (i, j)-entry of the distance matrix D (G) of G is the distance between v i and v j. Note there is an alternative to step 4, but it. Otherwise, the point n is at (Xn, -Yn). In our example, the total of the “hire new employee” column’s. sqrt(euclidean_distance) return euclidean_distance An alternative approach is to use outer, but this should be less efficient since it calculates all distances twice (but it does directly return a distance matrix, which might be desirable). This uses the power matrices to do so, which makes it efficient only for. Remember that for this first step, the distance is between two variables as each unit. Alternatives to Googles Distance Matrix service? 2 The Google Distance Matrix API GPS coordinate search. Gower: "Some distance properties of latent root and vector methods used in multivariate analysis. —Friedrich Nietzsche (1844–1900) “ In all cultures, the family imprints its members with. A short list of some of the more popular machine learning algorithms that use distance measures at their core is as follows: K-Nearest Neighbors. Google's Distance Matrix service computes travel distance and journey duration between. g. Solution 2 - R. Compute the distance matrix from a vector array X and optional Y. Distance matrix of a set of points, or between two sets of pointsIn computer science, the earth mover's distance (EMD) is a measure of dissimilarity between two frequency distributions, densities, or measures, over a metric space D. Categories: Internet Services, Information Technology Topics: Distance calculator, distance finder, distance matrix API, google maps alternative, measure distance on map, mileage calculator, time and distance calculator, time distance calculator, travel time calculator, Travelling Salesman ProblemPosition and Distance: Recommendation beyond Matrix Factorization Conference, 2018 essentially an extension of matrix factorization and still follows the basic principles of product products. By keeping users informed and up-to-date, transportation apps can help them make better decisions and avoid potential issues,. An alternative form of adjacency matrix (which, however, requires a larger amount of space) replaces the numbers in each element of the matrix with pointers to edge objects. If 8X X, the matrix K is positive de nite, is called a Mercer Kernel, or a positive de nite kernel. chris hutchinson. When two matrices A and B are provided as input, this function computes the square Euclidean. The API is one of the best alternatives to the Google Maps API which can help a business find the best routes, reduce delivery times, minimize costs, and increase profits. A similarity measure takes these embeddings and returns a number measuring their similarity. The proximity matrix is a matrix consisting of the distance between each pair of data points. We use the R function dist to calculate the Euclidean distance between samples. Any suggestions on how to achieve this or alternatives to Google Maps in India?I am able to compute the distance matrix faster by a factor of ~10 compared to scipy. Offers Free-forever plan. discrete_space: array of shape (n_samples) The categorical labels to use in the intersection. Multivariate distance matrix regression (MDMR) analysis is a statistical technique that allows researchers to relate P variables to an additional M factors collected on N individuals, where P ≫ N. 51. distance does not support direct operation on sparse matrices, so either:. g. matrix (). Collections. We provide free code samples, developer documentation, and even a lively forum to flatten the learning curve and speed up development cycles. Since protein domains differ by size, we normalized the coordinates to a value between 0 and 1. In general, a distance matrix is a weighted adjacency matrix of some graph. Distances are nonnegative if they can be computed, NA if any of the two argument strings is NA and Inf when. You may use Distance = | ( fnorm ( A) − fnorm ( B)) | where fnorm = sq root of sum of squares of all singular values. I commented on your question as to why it is. Compute the distance matrix between each pair from a vector array X and Y. So in the provided example, you'd be billed 0. For BF matcher, first we have to create the BFMatcher object using cv. For two. But the application I'm building requires calculation of more than 12 places so I. The Mahalanobis distance between two points u and v is ( u − v) ( 1 / V) ( u − v) T where ( 1 / V) (the VI variable) is the inverse covariance. {"payload":{"allShortcutsEnabled":false,"fileTree":{"dtaidistance":{"items":[{"name":"clustering","path":"dtaidistance/clustering","contentType":"directory"},{"name. spatial. Try for free. 3422 0. You can also try to use Distance Matrix service for client side application of Distance Matrix. [D,idx] = bwdist (BW) also computes the closest-pixel map in the form of an index array, idx. J. It takes, as input N, sequences {S 1, S 2,…, S N} of average length L, with their substitution matrix sbt and the gab cost g. For example, d ij could be calculated as the Euclidean distance or as a function of the correlation coefficient (see Forming the Distance Matrix below). Route provides information on how to get from point A to point B, or points C, D and E. $egingroup$ to all: I found it difficult to accept one of the answers. The Distance Matrix API uses any number of origins (starting points) and destinations, and returns the distance and travel time between each origin and all requested destinations, starting with the first origin in the request and proceeding step-wise to the next. Dimensionality reduction methods visualize the dataset and reduce its size, as well as reveal different features in the dataset. Best Running Shoe for Mud and Soft Terrain: Salomon. Create a vector containing the first column of the exam grade data. Below, we’ve compared our NextBillion. Google script's max execution time is 30 minutes and thus the script keeps timing out. upper-distance: upper triangular distance matrix; similar to the previous, but for the entries above the diagonal; suitable for output from the MATLAB functions pdist or seqpdist, exported to a CSV file. ¶. Read: Python Scipy Matrix + Examples Python Scipy Kdtree Count Neighbors. The following code shows how to compute a distance matrix that shows the Euclidean distance between each row of a matrix in R: #calculate Euclidean distance between. sum(np. Lastly, coalescent-based species tree. As of now I am using Google's distance Matrix API for one of my project. 1538 0. Built for high performance needs, a single request can process 100,000 locations in a few hundred milliseconds. Many alternative definitions of “almost” have been proposed, and numerous heuristics and approximation algorithms have been developed. Hijmans and Jacob van Etten. A straight line is the shortest possible measure of the distance between two locations. A comprehensive description of some of the most popular methods for phylogenetic reconstruction from a non-additive distance matrix such as Neighbor. If axis is None, x must be 1-D or 2-D, unless ord is None. Nothing wrong with a mutli cloud strategy and in some cases even recommend in my opinion. 2. Edit operations include insertions, deletions, and substitutions. Geocoding included. In the example above, you create a linear space with 25 values between -10 and 10. Using Google Maps Distance Matrix API on Excel with less API calls. 0 H 3 0. The interest in this matrix was motivated by the connection with a communication problem (see [9], [10] for more details). js wrapper for Google Maps Distance Matrix API. For concreteness, if f is the ‘p p function which induces A, and Bis any n nmatrix, we can compute ABin time O(n2dp. Jun 10, 2021 at 17:18. 8805 0. split, africa. Euclidean distance computed by using an alternative algorithm that saves time when the number of predictors is at least 10. Fully multimodal transport. To view the quota limits, scroll down to the Elements card. It is also common to specify a point-cloud in Euclidean space as well. Now we have a lot of distances that can be paired. 2, is given in Algorithm2. Karney. C=A*B would create a simular matrix as above, yet using euclidean distance. Notation: Set one is given by a (numA,d)-matrix A and set two is given by a (numB,d)-matrix B. I have time-series data of different houses. To find the similarity between two vectors A = [ a 1, a 2,. First step is to activate Distance Matrix service from google API console. The API supports a range of transport modes including Driving, Public Transport, Walking, and Cycling. For stringdist, a vector with string distances of size. cost. a dedicated in-house data team, TravelTime offers a. 8 See also. Even though you use AWS, you can still use Google services/GCP or other platforms. Multivariate Distance Matrix Regression (MDMR) is an alternative person-centered regression method that avoids this problem by directly testing the association of a full distance matrix and a set of predictors without the intermediate data reduction step conducted by MDS regression (Anderson, 2001, McArdle & Anderson, 2001). I'm trying to get a distance matrix though QGIS, I have two different point layers to run the distance matrix and have input and target layers correct, output matrix type is Linear (n*k x 3) Use only the nearest (k) target points. RedLine Zipcode. Tracking mentions began in Dec 2020. We are using Google Distance matrix API to calculate distances between all places & user’s location. I would like OSRM to give me back a distance-matrix (just like ArcGIS' Network Analyst). Nothing wrong with a mutli cloud strategy and in some cases even recommend in my opinion. Distance between A and B can be calculated using Singular values or 2 norms. Although it is defined for any λ > 0, it is rarely used for values other than 1, 2, and ∞. If the API is not listed, enable it: What is Distance Matrix API? The Distancematrix. indicates that the distance matrix is input in uppeR-triangular form (the upper-right half of the distance matrix only, without the zero diagonal elements). The technique can be applied to a number of research settings involving high-dimensional data types such as DNA sequence data, gene. Make a distance matrix request that calculates travel time based on current traffic conditions. To avoid that the distance measure is dominated by a few highly variable genes, and have a roughly equal contribution from all genes, we use it on the rlog-transformed data: sampleDists - dist( t( assay(rld) ) ) as. To begin, we’ll create four example plots that we can experiment with. a An additive distance matrix D of order 5. A direction matrix API, such as Google Maps Directions API, provides turn-by-turn directions between two or more points. Piotr Indyk, Sandeep Silwal. Value. Application returns such information as: country, city, route/street, street number, lat and lng,travel distance and time for a matrix of origins and destinations. I tried to solve it according to the instructions given by others. Look no further. Google writes the following under Usage Limits: Users of the free API: 100 elements per query. 14km. Add a comment. By using njs() instead of nj() you can do the clustering because it is an algortithm designed for incomplete matrices. Usage dist. It usually will lose to it in terms of cluster density, but sometimes will uncover cluster shapes which UPGMA will not. --. Distance Matrix API requests generate calls to one of two SKUs depending on the type of. Cost(1) = Sum of all reduction elements = 4 + 5 + 6 + 2 + 1 = 18 Step-02: We consider all other vertices one by one. Categories; Alternatives. The distance between two vectors measures their relatedness. Given the matrix mx2 and the matrix nx2, each row of matrices represents a 2d point. 5 the determinant of the distance matrix of a graph does not change if the blocks of the graph are reassembled in some other way. Since points 2 and 4 are the closest to each other, these 2 points are put together to form a single group. To implement the Distance Matrix API with LocationIQ, you can follow these steps: First, you will need to obtain an API key from LocationIQ. Why Google direction and distance matrix API show different results for source and destination value) that both APIs return different distance results. rM r M : use standardized distances and divide by n(n − 1)/2 − 1 n ( n − 1) / 2 − 1 to get value between -1 and 1. The haplotype distance matrix was extracted by using our own code from the haplotype sequence matrix (20x41). In practice, the added cost of constructing the MLLE weight matrix is relatively small compared to the cost of stages 1 and 3. (m,m–1), i. mat: precomputed adjacency or. Sometimes the length of a shared edge is used for assigning different weights to neighbors. e. 5387 0. Distance Matrix API is a tool that enables businesses to calculate, evaluate, and plan their routes to improve their customers' online experience and enhance their business efficiency. POST. The first term is exactly equivalent to that of standard LLE. 13. In that cases when the distance matrix is built it happens that some pairs of individuals cannot be compared as they are at least one NA across all loci compared, yielding a NA in the matrix. Cosine. I added a debug line to output the row# and distance every 10,000 rows, but. Now, I want to cluster the houses following similar power consumption pattern utmost. e. 3. I have many markers in my map and I have to connect them using Distance Matrix API to fetch the duration value. D = pdist2 (X,Y) D = 3×3 0. We researched the top alternatives and found several new Distance Matrix API alternatives that work with your platform or device. API. Distance Matrix API Alternatives and Competitors. 11. For PCA, Euclidean distance is converted into Euclidean similarity. The algorithm provides a simple method for estimating the intrinsic geometry of a data manifold based. gmaps = googlemaps. . If you're not famililar with this aspect of computational geometry, the relationship between the two (VD & DM) is. 22. A Distance Matrix API request takes the following form: where. Here we prove that it is the resistance distance between a pair of nodes in a weighted graph. 9 km duration: 1. –A reward for all possible combinations of alternatives and states of nature –Conditional values: “reward depends upon the alternative and the state of nature” •with a favorable market: –a large plant produces a net profit of $200,000 –a small plant produces a net profit of $100,000 –no plant produces a net profit of $0The dissimilarity between the two vectors ‘x’ and ‘y’ is given by –. Weight Matrix Construction. But then again, AWS spews out new services like crazy so hard to keep up. If you want even more options, we've. However, sometimes no alternative routes are available so the response only contains the default route. Find nearest or largest city information or timezone for any given point location (latitude/longitude). Each Distance Matrix API call generates a number of elements (the number of origins times the number of destinations, e. Notation: Set one is given by a (numA,d)-matrix A and set two is given by a (numB,d)-matrix B. In an early article, Graham and Pollack [10] presented a remarkable result, proving that the determinant of the distance matrix of a tree T on n vertices only depends on n, being equal to (− 1) n − 1 (n − 1) 2 n − 2. (Only the lower triangle of the matrix is used, the rest is ignored). If metric is “precomputed”, X is assumed to be a distance matrix and must be square.