PPT-Clustering II Hierarchical Clustering

Produces a set of nested clusters organized as a hierarchical tree Can be visualized as a dendrogram A treelike diagram that records the sequences of merges or splits Strengths of Hierarchical Clustering. k. -center clustering. Ilya Razenshteyn (MIT). Silvio . Lattanzi. (Google), Stefano . Leonardi. (. Sapienza. University of Rome) and . Vahab. . Mirrokni. (Google). k. -Center clustering. Given:. Hierarchical Clustering . Produces a set of . nested clusters . organized as a hierarchical tree. Can be visualized as a . dendrogram. A tree-like diagram that records the sequences of merges or splits. Hierarchical Clustering . Produces a set of . nested clusters . organized as a hierarchical tree. Can be visualized as a . dendrogram. A tree-like diagram that records the sequences of merges or splits. Basic Concepts and Algorithms. Bamshad Mobasher. DePaul University. 2. What is Clustering in Data Mining?. Cluster:. a collection of data objects that are “similar” to one another and thus can be treated collectively as one group. Stat 600. Nonlinear DA. We discussed LDA where our . discriminant. boundary was linear. Now, lets consider scenarios where it could be non-linear. We will discuss:. QDA. RDA. MDA. As before all these methods aim to MINIMIZE the probability of misclassification.. Sushmita Roy. sroy@biostat.wisc.edu. Computational Network Biology. Biostatistics & Medical Informatics 826. Computer Sciences 838. https://compnetbiocourse.discovery.wisc.edu. Nov 3. rd. 2016. RECAP. Sushmita Roy. sroy@biostat.wisc.edu. Computational Network Biology. Biostatistics & Medical Informatics 826. Computer Sciences 838. https://compnetbiocourse.discovery.wisc.edu. Nov 1. st. 2016. Some material is adapted from lectures from Introduction to Bioinformatics. What is clustering?. Why would we want to cluster?. How would you determine clusters?. How can you do this efficiently?. K-means Clustering. Strengths. Simple iterative method. User provides “K”. Unsupervised . learning. Seeks to organize data . into . “reasonable” . groups. Often based . on some similarity (or distance) measure defined over data . elements. Quantitative characterization may include. Produces a set of . nested clusters . organized as a hierarchical tree. Can be visualized as a . dendrogram. A tree-like diagram that records the sequences of merges or splits. Strengths of Hierarchical Clustering. Department of Biological Sciences. National University of Singapore. http://. www.cs.ucdavis.edu. /~. koehl. /Teaching/BL5229. koehl@cs.ucdavis.edu. Clustering is a hard problem. Many possibilities; What is best clustering ?. What is clustering?. Grouping set of documents into subsets or clusters.. The Goal of clustering algorithm is:. To create clusters that are coherent internally, but clearly different from each other. Introduction to Data Mining, 2. nd. Edition. by. Tan, Steinbach, Karpatne, Kumar. Two Types of Clustering. Hierarchical. Partitional algorithms:. Construct various partitions and then evaluate them by some criterion. Sampath Jayarathna. Cal Poly Pomona. Hierarchical Clustering. Build a tree-based hierarchical taxonomy (. dendrogram. ) from a set of documents.. One approach: recursive application of a . partitional.