PPT-The Discriminant

Why do we use the discriminant The discriminant tells us one of two things How many rootsxinterceptszeros does a quadratic function have How many solutions does a quadratic equation have Example. PCA Limitations of LDA Variants of LDA Other dimensionality reduction methods brPage 2br CSCE 666 Pattern Analysis Ricardo Gutierrez Osuna CSETAMU Linear discriminant analysis two classes Objective LDA seeks to reduce dimensionality while preserv Fisher Linear Discriminant 2 Multiple Discriminant Analysis brPage 2br CSE 555 Srihari 1 Motivation Projection that best separates the data in a least squares sense CA finds components that are useful for representing data owever no reason to assum Given . a quadratic equation use the . discriminant. to determine the nature . of the roots.. What is the discriminant?. The discriminant is the expression b. 2. – 4ac.. The value of the discriminant can be used. I. Standard Form of a quadratic. In form of . Lead coefficient (a) is positive..  .  .  . Examples.  . II. Discriminant. Tells us about nature . of. roots of a quadratic. 4 cases: 1. If D>0, then 2 real roots.. This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 23. rd. August . 2015. Objectives: . Understand the conditions under which a quadratic equation has no, equal or distinct roots.. STARTER. Defining and Testing Groups. Goals. Develop classificatory key for groups that have already been defined. Identify important variables in defining clusters after cluster analysis. Classify new observations into an existing classification. Linear Discriminant Analysis. Objective. -Project a . feature space (a dataset n-dimensional samples) onto a smaller . -Maintain . the . class separation. Reason. -Reduce computational costs. -Minimize . Vocabulary. Discriminant - tells you how many solutions and what type you will have.. If the . discriminant is. . positive . – 2 real solutions. . negative . – 2 imaginary solutions. . zero . – 1 real solution. Nearest Neighbor Classification. Ashifur Rahman. About the Paper. Authors:. Trevor Hastie, . Stanford University. Robert . Tibshirani. , . University of Toronto. Publication:. KDD-1995. IEEE Transactions on Pattern Analysis and Machine Intelligence (1996). . for the given values:.  . 3. Sketch . the graph for each quadratic. No solutions One solution Two solutions. Using the Discriminant. I can . use the discriminant to determine how many solutions a quadratic equation will have.. CS 560 Artificial Intelligence. Many slides throughout the course adapted from Svetlana . Lazebnik. , Dan Klein, Stuart Russell, Andrew Moore, Percy Liang, Luke . Zettlemoyer. , Rob . Pless. , Killian Weinberger, Deva . . (. not. including the radical sign) in the quadratic formula is called the . . , . D. , of the corresponding quadratic equation, . ..  . The discriminant allows you to determine the nature of the roots of the equation because. Data Mining for Business Analytics. Shmueli. , Patel & Bruce. Discriminant Analysis: Background. A classical statistical technique. Used for classification long before data mining. Classifying organisms into species.