(Varieties)
 
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[[ECE662 _Old Kiwi| ECE662 Main Page]]
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=Lecture 1, [[ECE662]]: Decision Theory=
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Lecture notes for [[ECE662:BoutinSpring08_Old_Kiwi|ECE662 Spring 2008]], Prof. [[user:mboutin|Boutin]].
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Other lectures: [[Lecture 1 - Introduction_Old Kiwi|1]],
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[[Lecture 2 - Decision Hypersurfaces_Old Kiwi|2]],
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[[Lecture 3 - Bayes classification_Old Kiwi|3]],
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[[Lecture 4 - Bayes Classification_Old Kiwi|4]],
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[[Lecture 5 - Discriminant Functions_Old Kiwi|5]],
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[[Lecture 6 - Discriminant Functions_Old Kiwi|6]],
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[[Lecture 7 - MLE and BPE_Old Kiwi|7]],
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[[Lecture 8 - MLE, BPE and Linear Discriminant Functions_Old Kiwi|8]],
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[[Lecture 9 - Linear Discriminant Functions_Old Kiwi|9]],
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[[Lecture 10 - Batch Perceptron and Fisher Linear Discriminant_Old Kiwi|10]],
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[[Lecture 11 - Fischer's Linear Discriminant again_Old Kiwi|11]],
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[[Lecture 12 - Support Vector Machine and Quadratic Optimization Problem_Old Kiwi|12]],
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[[Lecture 13 - Kernel function for SVMs and ANNs introduction_Old Kiwi|13]], 
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[[Lecture 14 - ANNs, Non-parametric Density Estimation (Parzen Window)_Old Kiwi|14]],
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[[Lecture 15 - Parzen Window Method_Old Kiwi|15]],
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[[Lecture 16 - Parzen Window Method and K-nearest Neighbor Density Estimate_Old Kiwi|16]],
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[[Lecture 17 - Nearest Neighbors Clarification Rule and Metrics_Old Kiwi|17]],
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[[Lecture 18 - Nearest Neighbors Clarification Rule and Metrics(Continued)_Old Kiwi|18]],
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[[Lecture 19 - Nearest Neighbor Error Rates_Old Kiwi|19]],
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[[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],
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[[Lecture 21 - Decision Trees(Continued)_Old Kiwi|21]],
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[[Lecture 22 - Decision Trees and Clustering_Old Kiwi|22]],
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[[Lecture 23 - Spanning Trees_Old Kiwi|23]],
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[[Lecture 24 - Clustering and Hierarchical Clustering_Old Kiwi|24]],
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[[Lecture 25 - Clustering Algorithms_Old Kiwi|25]],
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[[Lecture 26 - Statistical Clustering Methods_Old Kiwi|26]],
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[[Lecture 27 - Clustering by finding valleys of densities_Old Kiwi|27]],
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[[Lecture 28 - Final lecture_Old Kiwi|28]],
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----
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Lecture Notes:
 
Lecture Notes:
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A Variety is a mathematical construct used to define a decision surface.
 
A Variety is a mathematical construct used to define a decision surface.
  
 
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[[Category:Lecture Notes]]
== Lectures ==
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[http://balthier.ecn.purdue.edu/index.php/Lecture_1_-_Introduction 1] [http://balthier.ecn.purdue.edu/index.php/Lecture_2_-_Decision_Hypersurfaces 2] [http://balthier.ecn.purdue.edu/index.php/Lecture_3_-_Bayes_classification 3]
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[http://balthier.ecn.purdue.edu/index.php/Lecture_4_-_Bayes_Classification 4] [http://balthier.ecn.purdue.edu/index.php/Lecture_5_-_Discriminant_Functions 5] [http://balthier.ecn.purdue.edu/index.php/Lecture_6_-_Discriminant_Functions 6] [http://balthier.ecn.purdue.edu/index.php/Lecture_7_-_MLE_and_BPE 7] [http://balthier.ecn.purdue.edu/index.php/Lecture_8_-_MLE%2C_BPE_and_Linear_Discriminant_Functions 8] [http://balthier.ecn.purdue.edu/index.php/Lecture_9_-_Linear_Discriminant_Functions 9] [http://balthier.ecn.purdue.edu/index.php/Lecture_10_-_Batch_Perceptron_and_Fisher_Linear_Discriminant 10] [http://balthier.ecn.purdue.edu/index.php/Lecture_11_-_Fischer%27s_Linear_Discriminant_again 11] [http://balthier.ecn.purdue.edu/index.php/Lecture_12_-_Support_Vector_Machine_and_Quadratic_Optimization_Problem 12] [http://balthier.ecn.purdue.edu/index.php/Lecture_13_-_Kernel_function_for_SVMs_and_ANNs_introduction 13] [http://balthier.ecn.purdue.edu/index.php/Lecture_14_-_ANNs%2C_Non-parametric_Density_Estimation_%28Parzen_Window%29 14] [http://balthier.ecn.purdue.edu/index.php/Lecture_15_-_Parzen_Window_Method 15] [http://balthier.ecn.purdue.edu/index.php/Lecture_16_-_Parzen_Window_Method_and_K-nearest_Neighbor_Density_Estimate 16] [http://balthier.ecn.purdue.edu/index.php/Lecture_17_-_Nearest_Neighbors_Clarification_Rule_and_Metrics 17] [http://balthier.ecn.purdue.edu/index.php/Lecture_18_-_Nearest_Neighbors_Clarification_Rule_and_Metrics%28Continued%29 18]
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Latest revision as of 07:45, 17 January 2013

Lecture 1, ECE662: Decision Theory

Lecture notes for ECE662 Spring 2008, Prof. Boutin.

Other lectures: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,




Lecture Notes: This was the first day of class. These notes are from the class lecture.

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Textbook Information

Main article: Textbooks_Old Kiwi

There is not a single book that covers all the things that will be discussed in ECE 662. The class will reference four books during the course of the semester as we cover various topics. All four of them are available through the reserves at the engineering library.

Definition and Examples of Pattern Recognition

Main article: What is Pattern Recognition_Old Kiwi.

Pattern Recognition is the art of assigning classes or categories to data.

Decision Surfaces

Main Article: Decision Surfaces_Old Kiwi

Decision surfaces are the boundaries in the feature space that distinguish classes.

Algebraic Geometry

Main Article: Decision Surfaces_Old Kiwi (This is not a typo)

Varieties

Main Article: Varieties_Old Kiwi

A Variety is a mathematical construct used to define a decision surface.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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