Algorithm KNNThe main idea of the algorithm:1 Select the nearest sample point for K and to-classify points2 look at the classification of the sample points in 1, voting determines the class to which the classification points belongBayesian classifierBackground: Naive Bayesian text classifier principleBayes is everywhereAoccdrnigto a rscheearchat cmabrigdeuinervtisy, it deosn ' Tmttaerin wahtoredrthe ltteer
hyper-plane (w,b) and the entire training set is defined as:Similar to the function interval, take the smallest geometric interval in the sample.The maximum interval classifier can be regarded as the predecessor of the support vector machine, and is a learning algorithm, which chooses the specific W and b to maximize the geometrical interval. The maximum classification interval is an optimization problem such as the following:That is, the selection o
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Basic Introduction
Today, we introduce a simple and efficient classifier- naive Bayesian classifier (Naive
The general process of naive Bayes
1, Collect data: can use any data. This article uses RSS feeds
2. Prepare data: Numeric or Boolean data required
3, the analysis of data, there are a large number of features, the drawing feature is not small, at this time using histogram effect better
4. Training algorithm: Calculate the conditional probabilities of different independent features
5. Test algorithm: Calcu
? From a mathematical point of view, the classification problem can be defined as follows: Known set and, determine mapping rule y = f (x), so that any and only one, so that the establishment.Where c is called a collection of categories, where each element is a category, and I is called an item set (a feature set), where each element is a category to be classified, and F is called a classifier. the task of the classification algorithm is to construct
+7+5) * = 46, and a daily collection of data, can provide 4 parameters, so that the boy predicted more and more accurate.Naive Bayesian classifierSpeaking of the little story above, we come to the simplicity of the Bayesian classifier representation:When the feature is X, the conditional probabilities for all categories are computed, and the category with the most conditional probability is selected as the category to be classified. Since the denomina
Python Implementation of Naive Bayes algorithm and python of Bayesian AlgorithmAdvantages and disadvantages of Naive Bayes Algorithms
Advantage: it is still valid when the data volume is small and can handle multi-category issues
Disadvantage: sensitive to input data preparation methods
Applicable data type: nomina
] [,2] setosa 0.246 0.1053856 versicolor 1.326 0.1977527 virginica 2.026 0.2746501It is the conditional probability of the feature petal. Width. In this Bayesian implementation, the feature is numeric data (and there is also a fractional part). Here we assume that the probability density conforms to the Gaussian distribution. For example, for the feature petal. width, the probability of being setosa complies with the Gaussian distribution where the mean is 0.246 and the standard variance is 0.10
result, and x is the feature.
Bayesian formula is used to find the uniformity of the two models:
Because we are concerned about which probability is high in the discrete value result of y (for example, the goat probability and the sheep probability), rather than the specific probability, the above formula is rewritten:
This is called posterior probability and a anterior probability.
Therefore, the discriminant model is used to calculate the conditional probability, and the generated model is
Python Implementation Method of Naive Bayes algorithm, python of Bayesian Algorithm
This article describes the python Implementation Method of Naive Bayes algorithm. Share it with you for your reference. The specific implementation method is as follows:
Advantages and disadvantages of
increases the corresponding value in the word vector instead of just setting the corresponding number to 1.# Converts a group of words into a set of numbers, converting a glossary into a set of vectors: A word set model def Bagofwords2vec (Vocablist, Inputset):# Input: Glossary, a document Returnvec = [0] * Len ( vocablist) for in inputset: if in vocablist: + = 1 return ReturnvecNow that the classifier has been built, the
inputset: If word in vocablist: returnvec [vocablist. IND Ex (Word)] = 1 else: Print "the word: % s is not in my vocabulary! "% Word return returnvecdef trainnb0 (trainmatrix, traincategory): numtraindocs = Len (trainmatrix) numwords = Len (trainmatrix [0]) pabusive = sum (traincategory)/float (numtraindocs) p0num = ones (numwords); p1num = ones (numwords) # change to ones () p0denom = 2.0; p1denom = 2.0 # change to 2.0 for I in range (numtraindocs ): if traincategory [I] = 1: p1num + = trainma
Probability-based classification method: Naive BayesianBayesian decision theoryNaive Bayes is part of the Bayesian decision theory, so let's take a quick and easy look at Bayesian decision theory before we talk about naive Bayes.The core idea of Bayesian decision-making theory : Choose the decision with the highest probability. For example, we graduate to choose
. Therefore, the amount of computing is much smaller than that of traversing the entire dataset. This correlation can be manifested in multiple forms. It can be that the user has commented on the item, or just accessed the URL of this link, but no matter what the related method is, we only regard it as two categories, like and dislike. For example, if the score is 1-10, 1-5 means yes, and 6-10 means no. If it is a URL, access is preferred; otherwise, access is disliked.
Why is it considered as
Microsoft Naive Bayes is the simplest algorithm in SSAS and is often used as a starting point for understanding the basic groupings of data. The general feature of this type of processing is classification. This algorithm is called "plain" because the importance of all attributes is the same, and no one is taller than the other. The name of Bayes originates from
This article describes how to use the naive Bayes algorithm in python. It has good reference value. Next, let's take a look at it. This article mainly introduces how to use the naive Bayes algorithm in python. It has good reference value. Let's take a look at it with the small editor.
Here we will repeat why the title
Original: Microsoft Naive Bayes Algorithm--three-person identity divisionMicrosoft Naive Bayes is the simplest algorithm in SSAS and is often used as a starting point for understanding the basic groupings of data. The general feature of this type of processing is classification. This algorithm is called "plain" because
4.7 Example: Using naive Bayesian classifier to derive regional tendencies from personal adsTwo applications were described earlier: 1. Filtering malicious messages from websites; 2. Filter spam.4.7.1 Collecting data: Importing RSS FeedsThe Universal feed parser is the most commonly used RSS library in Python.At the python prompt, enter:Build similar to the Spamtest () function to automate the testing proce
What is naive Bayesian classifier?First of all, look at the simple two words, what do you mean?? It is the English word naive translation come over, meaning is simple, plain. (It's easy to see: it assumes that the individual properties of an event are independent of each other, simplifying the calculation process; This hypothesis is unlikely to be true in reality
Generative Learning and discriminant learningLike logistic regression, hθ (x) = g (ΘTX) is used to model P (y|x;θ) directly, or, like a perceptron, directly from the input space to the output space (0 or 1), they are called discriminant Learning (discriminative learning).In contrast to generative learning (generative learning), P (x|y) and P (Y) are modeled, and then the posterior conditional probability distributions are derived by Bayesian law.The calculation rule for the denominator is the fu
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