k-means clustering is a method of vector quantization, originally from signal processing, that is popular for cluster analysis in data mining. k-means clustering aims to partition n observations into k clusters in which each observation belongs to the cluster with the nearest mean, serving as a prototype of the cluster. This results in a partitioning of the data space into Voronoi cells.

K-Means Clustering Lecture Notes and Tutorials PDF

### Clustering, K-Means, and K-Nearest Neighbors

CMSC 678. UMBC. Most slides courtesy Hamed Pirsiavash ... K-means: basic algorithm & extensions ... K-means. Mean shift. Spectral clustering. Hierarchical clustering: organize ... each cluster should be skewed to a single class, that is, zero ...

### Selection of K in K-means clustering

Abstract: The K-means algorithm is a popular data-clustering algorithm. However, one of its ... 22 S-PLUS 6 for Windows Guide to Statistics, Vol. 2,. Insightful ...by DT PhamÃ · Cited by 495 · Related articles

### L10: k-Means Clustering

Note: k-means is not an algorithm, it is a problem formulation. k-Means is in the family of assignment based clustering. Each cluster is represented by a single point ...

### Algorithms for k-means clustering

Finding the optimal k-means clustering is NP-hard even if k = 2 (Dasgupta, 2008) or if d = 2 (Vattani,. 2009 ... During the course of the k-means algorithm, the cost monotonically decreases. Proof. ... Theoretical Computer Science, 442:13–21.

### Supervised k-Means Clustering

The k-means clustering algorithm is one of the most widely used, effective, and best understood clustering methods. How- ever, successful use of k-means ...by T Finley · Cited by 35 · Related articles

### Lecture 10: k-means clustering

The cost is the squared distance between all the points to their closest cluster center. k-means clustering and Lloyd's algorithm [6] are probably the most widely ...

### An Efficient K-Means Clustering Algorithm

Our experimental results demonstrate that our scheme can improve the computational speed of the direct k-means algorithm by an order to two orders of ...by K Alsabti · Cited by 752 · Related articles

### MapReduce Algorithms for k-means Clustering

This algorithm tends to produce better clusters in practice, though it sometimes runs more slowly due to the extra initialization step. Given the ubiquity of k-means ...

### Lecture 14. Clustering, K-means, and EM

We will describe the basic algorithm for doing this – the EM ... Example: data is generated by a mixture of Gaussian distribution with unknown means and co-.

### An efficient k-means clustering algorithm

its nearest center. These steps are repeated until some convergence condition is met. See Faber [18] for descriptions of other variants of this algorithm. For ...

### C4.5 and the K-Means Clustering Algorithms

Outline. • Introduction to the C4.5 Algorithm. • Introduction to the K-Means Clustering. Algorithm. • Dataset Overview. • Description of the Experiment ...

### Kernel K-means and Spectral Clustering

This is a note to explain kernel K-means and its relation to spectral clus- tering. ... 1, .., K, for all data-cases i, and over the cluster means µk, k = 1..K. It is not hard ...by M Welling · Cited by 5 · Related articles

### Clustering, K-Means, EM Tutorial

Clustering, K-Means, EM. Tutorial. Kamyar Ghasemipour. Parts taken from Shikhar Sharma, Wenjie Luo, and Boris Ivanovic's tutorial slides, as well as.

### Manifold optimization for k-means clustering

Abstract—We introduce a manifold optimization relax- ation for k-means clustering that generalizes spectral clus- tering. We show how to implement it as ...

### Randomized Dimensionality Reduction for k-Means Clustering

optimal k-means objective value. Index. Terms— Clustering, dimensionality reduction, randomized algorithms. I. INTRODUCTION. CLUSTERING is ubiquitous in ...by C Boutsidis · 2015 · Cited by 163 · Related articles

### Secure Two-Party k-Means Clustering

1 Introduction. 1.1 Background on k-Means Clustering. The k-means clustering problem can be described as follows: A database D holds infor- mation about n ...by P Bunn · Cited by 214 · Related articles

### Constrained K-means Clustering with Background Knowledge

clusters).8 Note that this measure differs from the ob- jective function used by k-means and COP-KMEANS while clustering. In the language of Jain and Dubes.by K Wagstaff · 2001 · Cited by 3035 · Related articles

### Kernel density estimation and k-means clustering

A kernel density estimate is nonparametric ... Note that does not necessarily need to be an inner ... In the context of density estimation, a kernel should satisfy. 1.

### Parallel K-Means Clustering Based on MapReduce

Therefore, dataset oriented parallel clustering algorithms should be developed. MapReduce [4,5,6,7] is a programming model and an associated implementa- tion ...by W Zhao · Cited by 801 · Related articles

### Programming the K-means Clustering Algorithm in SQL

Summarizing, this article presents an efficient SQL implementation of the K- means algorithm that can work on top of a relational DBMS to cluster large data sets.

### From K-means to higher-way co-clustering

This paper starts from K-means and shows how co-clustering ... are very different from those of two-way (matrix) data; see, ... cluster support along the different modes of the data (e.g., ... [20] was to enable use of a simple block-coordinate descent ... [23] S.C. Madeira and A.L. Oliveira, “Biclustering algorithms for biological.by K From · Related articles

### Hedge Fund Classification using K-means Clustering Method

The algorithm assigns each item to the cluster having the nearest centroid. (mean ). The method can be described in the following three steps: 1) Partition the items ...by N Das · Cited by 32 · Related articles

### A Local Search Approximation Algorithm for k-Means Clustering

Department of Computer Science, University of Maryland, College Park, Maryland. ... Our approach is similar to approaches used in other local search heuristics ...

### Biclustering with Alternating K-Means

Note that under this definition of biclustering every row and column in the matrix X belongs to one and only one bicluster. In other words, the rows and columns ...by N Fraiman

### Smoothed Analysis of the k-Means Method

Jan 22, 2010 — paper also includes parts of “Improved Smoothed Analysis of the ... (ISAAC), volume 5878 of Lecture Notes in Computer Science, pages ...by D Arthur · 2010 · Cited by 94 · Related articles