Suppose that D = (0 3 5 7; 3 0 4 4; 5 4 0 1; 7 41 0) is a distance matrix for 4 points, and you have 2 clusters C1={1,2} and C2={3,4}. What is the distance between them in UPGMA? 3 4 6
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- Suppose there are six cities in a state. The distance matrix between each pair of the cities is given below. What is the dendrogram generated by hierarchical clustering with single-linkage? A В D E F A 60 120 185 260 300 60 90 210 258 320 120 185 90 140 179 200 210 132 140 179 125 E 260 258 125 135 300 320 200 132 135 Based on the resulting dendrogram, if we want to create 4 clusters, they are Cluster Number Items 1K-means clustering is run on some data, for a few different values of K. Shown is the plot obtained for the inertia (a measure of average distance of points from the centroid of their allocated cluster), versus the number of clusters. What is the implied natural number of clusters to use? Inertia O 2000 1750 1500 1250 1000 750 500 250 T 9 3 1 -2 3 4 5 6 Number of clusters 7 .8 9Consider the following distance table (matrix) for six objects. Draw DENDROGRAMs by using the hierarchical clustering with single and complete links techniques. Also, find the number of cluster distance d=0.26. A B с D E F B с A 0 0.12 0 0.51 0.25 0 0.84 0.16 0.14 0.28 0.77 0.34 0.61 D E F 0 0.70 0.45 0 0.93 0.20 0.67 0
- javascript only: You have been assigned to work with an undersea explorer who is attempting to identify and map undersea trenches. The explorer has provided you with several data sets. Depending on the scan, the provided matrix may be larger or smaller, but it will always be rectangular. Your task is to determine if a given data set contains a trench by comparing each node and their neighbors and determining if there is a pattern that matches the defined properties of a trench. Neighbors are considered to be nodes that are directly above, below, or to the side. No diagonals! A trench has the following three properties: It has a length of three or more nodes that are neighbors. Each node in the trench must be deeper than -5. Trenches may not branch into (any form of) a "T" shape. A node with more than two neighbors will result in branching "T" shape. // Example 1 sonar = [ [-5,-5,-5,-5,-5], [-5,-8,-8,-9,-7], [-5,-5,-5,-5,-8], [-5,-5,-5,-5,-5] ]Q2. Given the graph below implement an array based storage backend for a map application to leverage for the implementation of shortest possible path analysis. Dallas 200 1300 200 Austin Washington Denver 1400 Atlanta 160 800 800 Chicago Houston 400 400 006In elementwise multiplication A.*B each value in one matrix is paired up with a buddy value in the other and they are multiplied together.In matrix multiplication A*B each row in matrix A is dot-producted with each column in matrix B.The value in the upper left corner of the matrix C is the same as which of the following?C = A*B; options: A(1,1) * B(1,1) dot(A(1,:),B(:,1)) A = [3 1; 5 2];B = [1 -1; 4 0];C = A*Bthe value in the upper left corner of the matrix C is which of the following? % Starting with this code:a = [1 2 3]b = [-1 0 1]% All of the following are identical, except which one? Question 4 options: dot(a,b) a*transpose(b) b*transpose(a) sum(a.*b) They are all identical Fill in the blank to calculate the dot product of amounts and costs.amounts = [2 1 2 5 1]costs = [3.5 1.25 4.25 1.55 3.15]____________ Question 5 options:…
- There is a data set that describes the email contacts between people in a University department. The data set is as follows: 0 1 0 2 0 6 1 0 1 3 1 5 2 0 2 4 3 1 3 5 3 6 4 2 4 5 5 1 5 3 5 4 6 0 6 3 There are totally 7 ids, representing 7 individuals. The two columns are the ids of persons. The id pair in a row represents an email contact relationship between the node pairs. For example, the first row ‘0 1’ means an individual with id 0 and an individual with id 1 have an email contact. All the individuals and their relationship constitute an email contact network, which is a graph in data structure. Based on the data set, please implement the following tasks: Establish a graph data structure using the adjacent list method. Source code: Running snapshot: Let node 0 as the origin and do the BFS traverse of the graph. Print out the BFS traverse…Design an adjacency Matrix of the alphabets of my name (Isha Tir Razia). In accordance with the following conditions: If name has repeated characters (e.g. character E, 2 times) then you will consider only 1 time. If Name contains both G and S, then there will be an edge between them and one additional edge from W to each if W is also in your name. If N is the alphabet in your name, it will have an edge to A and S if it available in your name. If P is available then it will have an edge with L if it is available. If there is a blank space in full Name then it will be represented by “_”, and it must have an edge with all alphabets. (Note: Place on in 1 for Edge and 0 for No Edge) Sketch an undirected graph of the above designed adjacency matrix.Design an adjacency Matrix of the alphabets of your full name. In accordance with the following conditions: Let my name is Muhammad Adnan If your name has repeated characters (e.g. character E, 2 times) then you will consider only 1 time. If your Name contains both G and S, then there will be an edge between them and one additional edge from W to each if W is also in your name. If N is the alphabet in your name, it will have an edge to A and S if it available in your name. If P is available then it will have an edge with L if it is available. If there is a blank space in full Name then it will be represented by “_”, and it must have an edge with all alphabets. (Note: Place on in 1 for Edge and 0 for No Edge) Sketch an undirected graph of the above designed adjacency matrix.
- Design an adjacency Matrix of the alphabets of Uzair Bhatti . In accordance with the following conditions: If your name has repeated characters (e.g. character E, 2 times) then you will consider only 1 time. If your Name contains both G and S, then there will be an edge between them and one additional edge from W to each if W is also in your name. If N is the alphabet in your name, it will have an edge to A and S if it available in your name. If P is available then it will have an edge with L if it is available. If there is a blank space in full Name then it will be represented by “_”, and it must have an edge with all alphabets. (Note: Place on in 1 for Edge and 0 for No Edge) Sketch an undirected graph of the above designed adjacency matrixto write some code: Cluster MNIST with k-means (you know optimal k already). Assign a label to each cluster by the most popular y (classes from 0 to 9) in that cluster. Now we can compute accuracy_score of our cluster labels comparing them with true label of each point. This way we can get an idea of how good our clustering is without looking at it (because you can't really look at 64 dimensional points, right?). q1: What accuracy_score did you get? Hint: you can use np.bincount(x): Count number of occurrences of each value in array of non-negative ints. Each bin gives the number of occurrences of its index value in `x`. Hint: use KMeans(..., random_state=0) for reproducible results. from sklearn.metrics import accuracy_score # YOUR CAN WRITE CODE HERERecall that np.dot (a,b) performs a matrix multiplication on a and b, whereas ab performs an element-wise multiplication. Consider the two following random arrays "a" and "b": a = np.random.randn (12288, 150) a.shape (12288, 150) b = np.random.randn(150, 45) b.shape= (150, 45) c = np.dot (a, b) What is the shape of c?