Suppose you have run k-means using k=2 and k=5. You find that the cost function J is much higher for k=5 than k=2. What can you conclude? • The ideal number of clusters is k=2. O* In the run with k=2, k-means got lucky. You should try re-running k-means with k=2 and different random initializations until it performs no better than with k=5. o« In the run with k=5, k-means got stuck in a bad local minimum. You should try re-running k-means with multiple random initializations. Od. This is mathematically impossible. There must be a bug in the code.
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- Correct answer will be upvoted else downvoted. Computer science. It might have been a simple undertaking, yet it worked out that you ought to observe a few guidelines: Before all else, you select any sure integer x. Then, at that point, you do the accompanying activity n times: select two components of cluster with total equivalents x; eliminate them from an and supplant x with limit of that two numbers. For instance, if at first a=[3,5,1,2], you can choose x=6. Then, at that point, you can choose the second and the third components of a with total 5+1=6 and toss them out. After this activity, x equivalents 5 and there are two components in cluster: 3 and 2. You can toss them out on the following activity. Note, that you pick x before the beginning and can't transform it as you need between the activities. Decide how could you act to toss out all components of a. Input The main line contains a solitary integer t (1≤t≤1000) — the number of experiments.…Suppose you have run k-means using k=2 and k=5. You find that the cost function J is much higher for k=5 than k=2. What can you conclude? a. In the run with k=5, k-means got stuck in a bad local minimum. You should try re-running k-means with multiple random initializations. O b. The ideal number of clusters is k=2. O c. In the run with k=2, k-means got lucky. You should try re-running k-means with k=2 and different random initializations until it performs no better than with k=5. O d. This is mathematically impossible. There must be a bug in the code.to 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 HERE
- Correct answer will be upvoted else downvoted. Computer science. You are given a cluster an of length n. You are approached to deal with q inquiries of the accompanying organization: given integers I and x, duplicate computer based intelligence by x. In the wake of handling each inquiry you really wanted to output the best normal divisor (GCD) of all components of the cluster a. Since the appropriate response can be excessively huge, you are approached to output it modulo 109+7. Input The principal line contains two integers — n and q (1≤n,q≤2⋅105). The subsequent line contains n integers a1,a2,… ,an (1≤ai≤2⋅105) — the components of the cluster a preceding the changes. The following q lines contain inquiries in the accompanying arrangement: each line contains two integers I and x (1≤i≤n, 1≤x≤2⋅105). Output Print q lines: in the wake of handling each inquiry output the GCD of all components modulo 109+7 on a different line.Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You're given a cluster b of length n. How about we characterize another cluster a, likewise of length n, for which ai=2bi (1≤i≤n). Valerii says that each two non-meeting subarrays of a have various amounts of components. You need to decide whether he isn't right. All the more officially, you want to decide whether there exist four integers l1,r1,l2,r2 that fulfill the accompanying conditions: 1≤l1≤r1<l2≤r2≤n; al1+al1+1+… +ar1−1+ar1=al2+al2+1+… +ar2−1+ar2. If such four integers exist, you will discredit Valerii. Do they exist? An exhibit c is a subarray of a cluster d if c can be acquired from d by erasure of a few (potentially, zero or all) components from the start and a few (conceivably, zero or all) components from the end. Input Each test contains various experiments. The main line contains the number of experiments t (1≤t≤100). Depiction of the experiments…bob chose to give Tina gift. bob has as of now purchased a cluster an of length n yet, giving a cluster is excessively normal. Rather than that, he chose to gift Mila the portions of that cluster! bob needs his gift to be wonderful, so he chose to pick k non-covering sections of the exhibit [1,r1], [12,r2], ... [Ik,rk] to such an extent that: the length of the primary fragment [1,r1] is k, the length of the second portion [12,r2] is k-1, . , the length of the k-th section [Ik,rk] is 1 for each iPlease answer in c++. Correct answer will upvoted else downvoted. The OmkArray of a cluster a with components a1,a2,… ,a2k−1, is the exhibit b with components b1,b2,… ,bk to such an extent that bi is equivalent to the middle of a1,a2,… ,a2i−1 for all I. Omkar has discovered a cluster b of size n (1≤n≤2⋅105, −109≤bi≤109). Given this cluster b, Ray needs to test Omkar's case and check whether b really is an OmkArray of some exhibit a. Would you be able to help Ray? The middle of a bunch of numbers a1,a2,… ,a2i−1 is the number ci where c1,c2,… ,c2i−1 addresses a1,a2,… ,a2i−1 arranged in nondecreasing request. Input Each test contains various experiments. The main line contains a solitary integer t (1≤t≤104) — the number of experiments. Depiction of the experiments follows. The primary line of each experiment contains an integer n (1≤n≤2⋅105) — the length of the cluster b. The subsequent line contains n integers b1,b2,… ,bn (−109≤bi≤109) — the components of b. It is…Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given one integer n (n>1). Review that a change of length n is a cluster comprising of n unmistakable integers from 1 to n in discretionary request. For instance, [2,3,1,5,4] is a change of length 5, yet [1,2,2] isn't a stage (2 shows up twice in the exhibit) and [1,3,4] is additionally not a change (n=3 but rather there is 4 in the cluster). Your undertaking is to track down a stage p of length n that there is no file I (1≤i≤n) to such an extent that pi=i (along these lines, for all I from 1 to n the condition pi≠i ought to be fulfilled). You need to answer t autonomous experiments. In case there are a few replies, you can print any. It tends to be demonstrated that the appropriate response exists for each n>1. Input The main line of the input contains one integer t (1≤t≤100) — the number of experiments. Then, at that point, t experiments follow. The main line of the experiment…For the k-means algorithm, it is interesting to note that by choosing the initial cluster centers carefully, we may be able to not only speed up the convergence of the algorithm, but also guarantee the quality of the final clustering. The k-means++ algorithm is a variant of k-means, which chooses the initial centers as follows. First, it selects one center uniformly at random from the objects in the data set. Iteratively, for each object p other than the chosen center, it chooses an object as the new center. This object is chosen at random with probability proportional to dist(p)2, where dist(p)) is the distance from p) to the closest center that has already been chosen. The iteration continues until k centers are selected. Explain why this method will not only speed up the convergence of the k-means algorithm, but also guarantee the quality of the final clustering results jo 9:15We are going to use K-means algorithm to cluster 6 data points from dataset D = {0, 1, 2, 3, 4, 2022} in R1 into 2 clusters. Before the first iteration, the cluster centers are randomly initialized at c1 = 0.235 and c2 = 1.984. Next, we simulate the first iteration (for part (a) and (b)) of K-means with manual computation. (a) Compute the cluster assignment for each of the 6 data points given, using the Euclidean distance. [5 pts] (b) Compute the updated cluster center c1 and c2. [5 pts] (c) How many iterations are needed to finish the K-means algorithm for this problem? [10 pts]Correct answer will be upvoted else downvoted. Computer science. You are given a cluster a comprising of n integers. At first all components of an are either 0 or 1. You wanted to deal with q inquiries of two sorts: 1 x : Assign to cut out the worth 1−ax. 2 k : Print the k-th biggest worth of the cluster. As an update, k-th biggest worth of the cluster b is characterized as following: Sort the cluster in the non-expanding request, return k-th component from it. For instance, the second biggest component in exhibit [0,1,0,1] is 1, as in the wake of arranging in non-expanding request it becomes [1,1,0,0], and the second component in this cluster is equivalent to 1. Input The principal line contains two integers n and q (1≤n,q≤105) — the length of the given cluster and the number of questions. The subsequent line contains n integers a1,a2,a3,… ,an (0≤ai≤1) — components of the underlying cluster. Every one of the accompanying q lines contains two integers. The…(a) Given a Clustering task, how you can evaluate the performance on the test set and how wewould know if the clusters are correct. Explain any three possible solutions. (b) Using Genetic Algorithms, we are required to solve the problem of finding out what a goodcar is.The information we have is as follows:Car Brand: Toyota, BMW, MercedesCar Engine: V6, V8 and normalCar Compact Size: small, medium, bigCar style: sport, normali. Propose the appropriate chromosome design for the given problem. ii. Suggest the appropriate Genetic Algorithm parameters. iii. Propose some suitable values of those parameters for this problem. Provide a shortexplanation for each.iv. Provide the genetic algorithm pseudocode that will be followed.SEE MORE QUESTIONS