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1. Statistics, Primary and Secondary data, Classification and
1. Statistics, Primary and Secondary data, Classification and

... 1. Function, Limit and Permutation and Combinations: Concept of function of a single variable (Linear, Quadratic and exponential function only) Domain, Co-domain and Range of a Function. Types of a function. Simple example of a function.Concept of Limit, Rules of limit (Without proof) Simple example ...
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An Efficient Approach to Clustering in Large Multimedia

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... Naive Bayes Classification The naive Bayesian classifier, is based on Bayes theorem: 1. Each data sample is represented by an n-dimensional feature vector, X = (x1, x2, ..., xn), depicting n measurements made on the sample from n attributes, respectively A1, A2, ..., An. For our problem we have 86 ...
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... of a database D of n objects into a set of k clusters. Typical examples are the k-means [9] and the k-medoids [8] algorithms. Most hierarchical clustering algorithms such as the single link method [10] and OPTICS [1] do not construct a clustering of the database explicitly. Instead, these methods co ...
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K-nearest neighbors algorithm



In pattern recognition, the k-Nearest Neighbors algorithm (or k-NN for short) is a non-parametric method used for classification and regression. In both cases, the input consists of the k closest training examples in the feature space. The output depends on whether k-NN is used for classification or regression: In k-NN classification, the output is a class membership. An object is classified by a majority vote of its neighbors, with the object being assigned to the class most common among its k nearest neighbors (k is a positive integer, typically small). If k = 1, then the object is simply assigned to the class of that single nearest neighbor. In k-NN regression, the output is the property value for the object. This value is the average of the values of its k nearest neighbors.k-NN is a type of instance-based learning, or lazy learning, where the function is only approximated locally and all computation is deferred until classification. The k-NN algorithm is among the simplest of all machine learning algorithms.Both for classification and regression, it can be useful to assign weight to the contributions of the neighbors, so that the nearer neighbors contribute more to the average than the more distant ones. For example, a common weighting scheme consists in giving each neighbor a weight of 1/d, where d is the distance to the neighbor.The neighbors are taken from a set of objects for which the class (for k-NN classification) or the object property value (for k-NN regression) is known. This can be thought of as the training set for the algorithm, though no explicit training step is required.A shortcoming of the k-NN algorithm is that it is sensitive to the local structure of the data. The algorithm has nothing to do with and is not to be confused with k-means, another popular machine learning technique.
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