Transfer from Jerrylead's blogK-means is also the simplest of the clustering algorithm, but the idea contained in it is not general. The first I used and implemented this algorithm is in the study of Grandpa Han's data Mining book, the book is more attention to application. After reading this handout from Andrew Ng, I had some idea of the EM thought behind K-means.Clustering belongs to unsupervised learning
average of all data points that belong to the class $k$
Repeat 2, 3 steps until convergence or maximum iteration count
Figure 1 K-means Algorithm ExampleOptimization target of K-means algorithmThe cost function for}$ optimization is $ $J (K-means (1) c^{(m)},\ldots,c^{) using $\mu_{c^{(i)}}$ to represent the center of the class in which the $i$ data poi
The clustering algorithm is not a classification algorithm.
A classification algorithm is used to give a data, and then determine which category of the data belongs to the classified class.
Clustering Algorithms give a lot of raw data, and then use algorithms to aggregate data with similar features into one type.
Here, K-means
Clustering Algorithms are an important branch of ML and generally use unsupervised learning for learning. clustering algorithms include K-means, K-medoids, GMM, spectral clustering, and ncut algorithms; this article will implement the K-eans algorithm.
K-means algorithm:
1.
The K-means method and ISODATA Method are two basic clustering methods. As the name suggests, K-means to specify K classes, and then get the last K centers through the initial center iteration. The initial center can be selected randomly or randomly, or the first K samples can be taken as the initial center. The final result of the cluster is closely related to t
distance between the stars is far.
In the clustering problem, the training sample for us is, each, without y.
The K-means algorithm clusters samples into k clusters. The specific algorithm is described as follows:
1. K cluster centroids are randomly selected. . 2. repeat the following process until convergence { calculate the class that each sample I belongs to for each
The purpose of the Clustering algorithm (K-means) is to divide n objects into K different clusters according to their respective attributes, so that the similarity degree of each object in the cluster is as high as possible, and the similarity between the clusters is as small as possible. And how to evaluate the similarity , The criterion function used is the sum of squared errors (and therefore called K
in the actual visual slam, the closed-loop detection adopts the DBOW2 model https://github.com/dorian3d/DBoW2, and the bag of words uses the data mining K-means Clustering algorithm, the author only through the bag of words model used in image processing for image interpretation, and does not involve too much on the slam of closed-loop detection applications. Introduction to the 1.bag-of-words modelBag-of-
classification clustering of Iris
There are several iris data, each with 4 data, sepals long (in centimeters), sepals wide (in centimeters), petal length (cm) and petal width (in cm). We hope to find a viable way to divide the iris into several classes according to the difference of 4 data per flower, so that each class is as accurate as possible in order to help plant experts to further analyze these flowers.
This is a question of getting started wi
K-means Clustering algorithm algorithm advantages and disadvantages:
Advantages: Easy to implementDisadvantage: May converge to local minimum, slow convergence on large scale datasetsWorking with Data types: numeric dataAlgorithmic thinkingThe K-means algorithm is actually calculated by calculating the distance between the different samples to determine their cl
First, clusteringClustering analysis is an important area of non-supervised learning. The so-called unsupervised learning, is that the data is no category tag, the algorithm from the exploration of the original data to extract a certain law. Clustering is an attempt to divide a sample in a dataset into several disjoint subsets, each of which is called a "cluster". It is difficult to adjust the parameters and evaluation . The following is a comparison
representing the number of data, the number of columns representing the number of categories, and the matrix elements represented as UIJ.In the example above, we consider the example of K-means (a) and FCM (b), and we can see that the sparse is always binary in the first example (a), indicating that each data can only belong to oneClassification, other properties are represented as follows:References J. C. Dunn (1973): "A Fuzzy Relative of the ISODAT
Dynamic Clustering: K-means method
Algorithm
Select K points as the initial center of mass
Assigns each point to the nearest centroid, forming a k cluster (cluster)
Recalculate the centroid of each cluster
Repeat 2-3 until the centroid does not change
Kmeans () function> x=iris[,1:4]> km= Kmeans(X,3) > MilesK-means
"Optimization Goals"
The basic hypothesis of clustering: For each cluster, a central point can be selected so that all points in the cluster are less than the distance to the center of the other cluster. Although the data obtained in the actual situation is not guaranteed to always satisfy such constraints, it is usually the best result we can achieve, and those errors are usually inherent or the problem itself is non-functional.
Based on the above h
The sixth chapter of Mahout in action.Datafile/cluster/simple_k-means.txt datasets such as the following:1 12 11 22 23 38 88 99 89 91. K-means Clustering Algorithm principle1. k elements are randomly taken from d. As the individual centers of the K-clusters.2. Calculate the difference between the remaining elements and the center of k clusters, respectively, and assign these elements to clusters with the lo
three: Calculate a new clustering centerFourth step: Because $z_j (2) \neq Z_j (1), j=1,2$, return to the second step;Step Two (return 1): By the new cluster Center, get:So $S _1 (2) =\{x_1, X_2,\cdots, x_8\}$ $S _2 (2) =\{x_9, x_{10}, \cdots, x_{20}\}$Step Three (return 1): Compute Cluster CenterFourth step (return 1): $z_j (3) \neq Z_j (2), j=1,2$, return to the second step;Step Two (return 2): The result of the classification is the same as the re
See The programmer's self-accomplishment –selfup.cn there are k-means clustering algorithms for Spark mllib.But it was the Java language, so I wrote one in Scala as usual and shared it here.As a result of learning spark mllib But such detailed information is really difficult to find here to share.Test data 0.0 0.0 0.0 0.1 0.1 0.10.2 0.2 0.2 9.0 9.0 9.0 9.1 9.1 9.19.2 9.2 9.215.1 15.1 15.118.0 17.0 19.020.0
K-means is a clustering algorithm:Here, we use K-means to classify 31 cities.The city's data is stored in the City.txt file, which reads as follows:bj,2959.19,730.79,749.41,513.34,467.87,1141.82,478.42,457.64tianjin,2459.77,495.47,697.33,302.87,284.19,735.97,570.84,305.08hebei,1495.63,515.90,362.37,285.32,272.95,540.58,364.91,188.63shanxi,1406.33,477.77,290.15,20
This article mainly introduces the basic K-means operation skills of Python clustering algorithm, and analyzes the principle and implementation skills of the basic K-means in detail based on the instance form, which has some reference value, for more information, see the examples in this article to describe the basic K-means
ClusteringClustering is the main content is to classify the sample, the same class of samples put together, all samples will eventually form K clusters, it belongs to unsupervised learning.Core IdeasAccording to the given K value and K initial centroid, each point in the sample is divided into the nearest class cluster, and when all points are allocated, the centroid is recalculated based on all points of each class cluster, usually by means of the av
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