PPT-Chapter 12 – Discriminant Analysis

Data Mining for Business Analytics Shmueli Patel amp Bruce Discriminant Analysis Background A classical statistical technique Used for classification long before data mining Classifying organisms into species. For example a researcher may want to investigate which variables discriminate between f ruits eaten by 1 primates 2 birds or 3 squirrels For that purpose the researcher could collect data on numerous fruit characteristics of those species eaten by e 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 of Computer Science UIUC dengcai2csuiucedu Xiaofei He Yahoo hexyahooinccom Jiawei Han Dept of Computer Science UIUC hanjcsuiucedu Abstract Linear Discriminant Analysis LDA has been a popular method for extracting features which preserve class separa uiucedu Xiaofei He Yahoo Research Labs hexyahooinccom Kun Zhou Microsoft Research Asia kunzhoumicrosoftcom Jiawei Han Department of Computer Science University of Illinois at Urbana Champaign hanjcsuiucedu Hujun Bao College of Computer Science Zhejia 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.. Why do we use the discriminant?. The discriminant tells us one of two things:. How many roots/x-intercepts/zeros does a quadratic function have?. How many solutions does a quadratic equation have?. Example. 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 . 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 . Recall, we have used the quadratic formula previously. Gives the location of the roots (x-intercepts) of the graph of a parabola. Function must be in standard form; f(x) = ax. 2. + . bx. + c. Example. Find the roots for the function f(x) = 2x. . 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.. . (. 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. SPAM. ?. The . Spambase. Data Set. Source and Origin. Goal. Instances and Attributes. Examples. Tool. Goal: classify spam from ham based on the frequencies of words in the email.. Logistic Regression. P4 units at the . Akanani. prospect area, . Bushveld. Complex, South Africa: Combination of R-Cluster,. R-Factor and Discriminant analysis approach. Mandende. 1. , H., Siad. 2. , A.M., Bailie. 3. , R., Okujeni.