PPT-Non-linear DA and Clustering

Stat 600 Nonlinear DA We discussed LDA where our discriminant boundary was linear Now lets consider scenarios where it could be nonlinear We will discuss QDA RDA MDA As before all these methods aim to MINIMIZE the probability of misclassification. N is the process noise or disturbance at time are IID with 0 is independent of with 0 Linear Quadratic Stochastic Control 52 brPage 3br Control policies statefeedback control 0 N called the control policy at time roughly speaking we choo e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Beth . Benas. Rizwan. . Habib. Alexander . Lowitt. Piyush. . Malve. Contents. What is Gene Clustering?. Two or more genes that code for the same or similar products. Two different processes for duplication of original genes via: . Brendan and Yifang . April . 21 . 2015. Pre-knowledge. We define a set A, and we find the element that minimizes the error. We can think of as a sample of . Where is the point in C closest to X. . Machine . Learning . 10-601. , Fall . 2014. Bhavana. . Dalvi. Mishra. PhD student LTI, CMU. Slides are based . on materials . from . Prof. . Eric Xing, Prof. . . William Cohen and Prof. Andrew Ng. for. Computer Graphics. Basics of Machine Learning. Connelly Barnes. Overview. Supervised, unsupervised, and reinforcement learning. Simple learning models. Clustering. Linear . regression. Linear Support Vector Machines (SVM). 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. 4. 3. 2. 1. 0. In addition to level 3.0 and beyond what was taught in class, the student may: . Make connection with other concepts in math.. Make connection with other content areas..  . The student will understand and explain the difference between functions and non-functions using graphs, equations, and tables.. issue in . computing a representative simplicial complex. . Mapper does . not place any conditions on the clustering . algorithm. Thus . any domain-specific clustering algorithm can . be used.. We . Lecture outline. Distance/Similarity between data objects. Data objects as geometric data points. Clustering problems and algorithms . K-means. K-median. K-center. What is clustering?. A . grouping. of data objects such that the objects . Clustering, Dimensionality Reduction and Instance Based Learning Geoff Hulten Supervised vs Unsupervised Supervised Training samples contain labels Goal: learn All algorithms we’ve explored: Logistic regression 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. Randomization tests. Cluster Validity . All clustering algorithms provided with a set of points output a clustering. How . to evaluate the “goodness” of the resulting clusters?. Tricky because . 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.