#一, write your own KNN.DfHead (DF)#得出距离矩阵Distance.matrix {#生成一万个NA, and turn into a matrix of 100*100Distance #计算两两之间的欧氏距离For (I-in 1:nrow (DF)){For (J in 1:nrow (DF)){Distance[i, J] }}return (distance)}#查找与数据点i距离最短的前k个点K.nearest.neighbors {#distance [I,] is the distance between all points and point I, order, take K subscript, starting from 2 is the 1th position is the data point IReturn (Order (distance[i,]) [2: (k + 1)])}#得出预测值KNN {#得出距离矩阵Distance #
triangle accounted for 2/3, then judged to be the red triangle;If the k=5 ( dashed Circle ), the Blue Square is 3/5, then the Blue Square is judged.1.Distance generally using Euclidean distance or Manhattan distance:2. Algorithm execution Process:1) Calculate the distance between the test sample and each training sample;2) Sort by the increment relation of distance;3) Select K points with a minimum distance;4) Determine the occurrence frequency of the category of the first k points;5) return th
K-Nearest Neighbor algorithmOverview: K-Nearest neighbor algorithm is used to classify the distance between different eigenvalue valuesAdvantages: High precision, insensitive to outliers. No data input assumptionsDisadvantage: High computational complexity, high spatial complexity, and it has no way to the basic data of some internal information data.Algorithm Description: There is an accurate sample of the data set. Called a training sample set, each item in the sample collection comes with its
a summary of KNN algorithm
KNN classification algorithm is simple and effective, can be classified and return.Core principle: The characteristics and classification of each data of a given sample dataset, the characteristics of the new data and the sample data are compared to find the most similar (nearest neighbor) K (k
in short: Birds of a feather flock together second, for example:
As shown in the follo
Import pandas as PD import NumPy as NP sklearn.preprocessing import imputer# importing data preprocessing module processing raw data from Sklearn.model_selec tion import train_test_split# importing modules from Sklearn.metrics Import to automatically generate training sets and test sets classification_report# importing forecast results evaluation module from Sklearn.neighbors Import kneighborsclassifier#knn nearest neighbor algorithm from Sklearn.tree
= ['A','A','B','B']7 returnGroup, labelsCreateDataSet () functions, common data sets and labels
Implement KNN classification algorithm
The pseudo code is as follows
Perform the following actions on each point in the dataset for the unknown category property in turn
1
Calculates the distance between a point in a well-known category dataset and the current point
2
Sort by d
What is the k nearest neighbor algorithm , namely K-nearest Neighbor algorithm, short of the KNN algorithm, single from the name to guess, can be simple and rough think is: K nearest neighbour, when K=1, the algorithm becomes the nearest neighbor algorithm, that is to find the closest neighbor. Why are you looking for a neighbor? For example, suppose you come to a strange village, and now you have to find people with similar characteristics to you to
# KNN Algorithm Ideas:#-----------------------------------------------------##step1: Read-in data, stored as a linked list#step2: Data preprocessing, including missing value processing, normalization, etc.#step3: Set K value#step4: Calculates the distance between the sample to be tested and all samples (binary, ordinal, continuous)#step5: Voting determines the type of sample to be tested#step6: Test the correct rate with a test set#-------------------
1.k-means: Clustering algorithm, unsupervised input: K, Data[n], (1) Select K Initial center point, e.g. C[0]=data[0],... c[k-1]=data[k-1], (2) for Data[0]....data[n], respectively and c[0]...c[K-1] comparison, assuming that the difference with C[i] is the least, it is marked as I, (3) for all marks as I, recalculate c[i]={all data[j labeled i) and}/marked as the number of I, (4) Repeat (2) (3), until all the c[i] value change is less than the given threshold value.Advantages: Simple, fast, disa
#----------------------------------------# Function Description: Demo KNN modeling Process # Data set: Wisconsin Breast Cancer Diagnosis # #-------------------------------------- --#第一步: Collect Data # import the CSV filewbcd Machine learning and R language: KNN
at the green value, is it a triangle or a moment? It depends on how many NN s are used. If 3nn is used, it belongs to a triangle, and if 5nn is used, it belongs to a rectangle.
K should be treated differently in different situations.
The following is the relevant Matlab code:
Clear all; close all; clc; % first class data and number mu1 = [0 0]; % mean S1 = [0.3 0; 0 0.35]; % covariance data1 = mvnrnd (mu1, S1, 100); % generates Gaussian distribution data (data1 (:, 1), data1 (:, 2), '+ '); lab
(Python) (supervised) kNN-Nearest Neighbor Classification Algorithm
Supervised kNN neighbor algorithms:
(1) calculate the distance between a point and the current point in a dataset of known classes.
(2) sort by ascending distance
(3) Select k points with the minimum distance from the current point
(4) determine the frequency of occurrence of the category of the first k points
(5) return the category with t
1 ImportNumPy as NP2 fromSklearnImportDatasets#Data Set3 fromSklearn.model_selectionImportTrain_test_split#Train_test_split is used to divide data into training sets and test sets4 fromSklearn.neighborsImportKneighborsclassifier#inductive KNN algorithm5Iris = Datasets.load_iris ()#data from datasets to be loaded into Iris6Iris_x =Iris.data7Iris_y =Iris.target8X_train,x_test,y_train,y_test = Train_test_split (iris_x,iris_y,test_size=0.3)#split Train
Introduction to AlgorithmsThe KNN algorithm principle is that there is a collection of sample data (the training sample set), and each data in the sample collection is known to classify the data. When we enter new data without a label, we compare the characteristics of the new data with the known sample collection, extracting the labels of the most closely related data, the label of the new data, and the classification calculation. Here we perform an
200 samples, and the directory testdigits contains about 900 test data. Use the data in trainingdigits to train the classifier, and use the data in the Testdigits to test the classifier effect. Implementation steps:1, the image file data into a vector, the 32*32 binary image matrix into a 1*1024 vector, so that the classifier can process digital image information.####################################功能: Converts an image to a vector and converts a 32*32 binary image into a 1*1024 vector#输入变量: fi
1 KNN algorithmKnn,k-nearestneighbor, that is, find the nearest K point with the dot.2 KNN NumPy ImplementationEffect:K=1k=23 NumPy broadcast, aggregation operation.The distance function is asked here to find the distance between a point and a set.def getdistance (points): return np.sum ((Points[:,np.newaxis,:]-points[np.newaxis,:,:]) **2,axis=-1)Points[:,np.newaxis,:]-points[np.newaxis,:,:]The image of
))if(CLASSIFYRESULT!=CLASSNUMSTR): errorcount+=1Print("Error Rate:%f"% (Errorcount/float (mtest)))Understanding the program is not a problem, many functions have been studied before, here to learn to read a folder of all the file nameUse Listdir () to import from OS module from Import ListdirThe Os.listdir () method is used to return a list of the names of the files or folders that the specified folder contains. This list is in alphabetical order. It does not include '. ' and '. ' Even if it is
In this paper, the KNN algorithm does not do too much theoretical explanation, mainly for the problem, the design of the algorithm and the code annotation.
KNN algorithm:
Advantages: high precision, insensitive to abnormal values, no data input assumptions.
Disadvantages: High computational complexity and high space complexity.
applicable data range: numerical type and nominal nature.
How it works: There is
the forecast classification of the current point.
Three, code detailed
(Python development environment, including installation of numpy,scipy,matplotlib and other Scientific Computing library installation no longer repeat, Baidu can)
(1) into the Python interactive development environment, write and save the following code, this document in the code saved as "KNN";
Import numpy
import operator from
OS import listdir from
numpy import *
#k-nearest
Algorithm steps for KNN nearest neighbor algorithm
KNN nearest Neighbor algorithm
Should be the best understanding of the classification algorithm, but the computation is particularly large, and can not train the model (only to train the best K value). algorithm Steps
1, seeking European distanceD=sqrt (∑ (xi1-xi2) ^) I=1,2..NHere I is the various attributes, and each validation data and n training data
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