PPT-Support Vector Machines and Kernel Methods

Machine Learning March 25 2010 Last Time Recap of the Support Vector Machines Kernel Methods Points that are not linearly separable in 2 dimension might be linearly separable in 3 Kernel Methods. IK. November 2014. Instrument Kernel. 2. The Instrument Kernel serves as a repository for instrument specific information that may be useful within the SPICE context.. Always included:. Specifications for an instrument’s field-of-view (FOV) size, shape, and orientation. Given the bag-of-features representations of images from different classes, how do we learn a model for distinguishing them?. Classifiers. Learn a decision rule assigning bag-of-features representations of images to different classes. Reading: . Ben-. Hur. and Weston, “A User’s Guide to Support Vector Machines” . (linked from class web page). Notation. Assume a binary classification . problem: . h. (. x. ) .  {−1, 1}. 0.2 0.4 0.6 0.8 1.0 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 kernel(b) kernel(c) kernel(d) (a)blurredimage(b)no-blurredimage0.900.981.001.021.10 (5.35,3.37)(4.80,3.19)(4.71,3.22)(4.93,3.23)(5.03,3.22 Machines. Reading: . Ben-. Hur. and Weston, “A User’s Guide to Support Vector Machines”. . (linked from class web page). Notation. Assume a binary classification problem.. Instances are represented by vector . (and Kernel Methods in general). Machine . Learning. 1. Last Time. Multilayer . Perceptron. /Logistic Regression Networks. Neural Networks. Error . Backpropagation. 2. Today. Support Vector Machines. Jose C. . Principe. Computational . NeuroEngineering. . Laboratory (CNEL). University . of Florida. principe@cnel.ufl.edu. Acknowledgments. Dr. Weifeng Liu, Amazon. Dr. . Badong. Chen, . Tsinghua. University and Post Doc CNEL. including Finite State Machines.. Finite State MACHINES. Also known as Finite State Automata. Also known as FSM, or State . Machines. Facts about FSM, in general terms. Finite State Machines are important . Chapter 09. Disclaimer: . This PPT is modified based on . IOM 530: Intro. to Statistical Learning. STT592-002: Intro. to Statistical Learning . 1. 9.1 . Support Vector Classifier. Applied Modern Statistical Learning Methods. What do they Try to Solve?. Hyperplanes. Property of the . Hyperplane. Separating . Hyperplane. The Maximal Margin . Hyperplane. . is the . Solution . to the . Optimization Problem. : . Maximal Margin Classifier. Machine learning:. Learn a Function from Examples. Function:. . Examples:. Supervised: . . Unsupervised: . . Semisuprvised. : . Machine learning:. Learn a Function from Examples. Function:. . Catherine Nansalo and Garrett Bingham. 1. Outline. Introduction to the Data. FG-NET database. Support Vector Machines. Overview. Kernels and other parameters. Results. Classifying Gender. Predicting Age. Asa. . Ben-. Hur. , . David . Horn, . Hava. T. . Siegelmann. , . Vladimir Vapnik. Zhuo Liu. Clustering. G. rouping . a set of objects . which . are . similar. Similarity: distance, density, statistical distribution. China Beijing International Construction Machinery, Building Material Machines, and Mining Machines Exhibition

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