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National Tsing Hua University
Institute of Information Systems & Applications

Course Title: ISA 530500: Computational Mathematics List of Students
Classes: 3:30-5:20 Monday, 13:20-14:10 Thursday at EECS 128,
Credits: 3 (Fall, 2019)
Instructor: Dr. Chaur-Chin Chen, http://www.cs.nthu.edu.tw/~cchen
Tel/E-mail: (03) 57-31078, cchen@cs.nthu.edu.tw
Prerequisites: Calculus (I,II), C/C++, Data Structure, [Linear Algebra, Matlab, Java, Python]
Contents:

1. Course Description Background Review Prepare a technical paper
2016 Image Sharing 2016 Steganography 2015 Data Visualization

2. Solving Linear Systems of Equations Solving Ax=b
C Program for A=LU Matlab Code for A=LU
geY.c GE/PP to solve Ax=b Test input for geY.c
Exercise 1 and Solutions

3. Determinants
Exercise 2 and Solutions

4. Vector Space and Linear Transform
Exercise 3 and Solutions

5. Orthogonality dataQua.txt Matlab Code Quadratic Curve Fit    Plot of Data dataQua
Exercise 4 and Solutions

6. Eigenvalues and Eigenvectors    C Program for Computing Eigenvalues/Eigenvectors
   Exercise 5 and Solutions
   Matlab for Problem Solving
7. Fundamentals Basic Probabilities Histogram of Lenna Image Histograms of Color Images Matlab Code
   ORLface NTHUface 300x300 fingerprint Tiff Lenna Koala Pumpkin
   Matlab for Image I/O    6 Images by Matlab
   Exercise 6   Exercise 6 and Solutions

8. Discrete and Contiunous Distribution Functions    Plots of p.d.f.
Matlab Code for p.d.f.   Table of N(0,1) Table of \chi^2(r)
Exercise 7 Key for Exercise 7
Exercise 8 Key for Exercise 8
9. Multivariate Distributions Sampling Distributions Volume of unit sphere
Exercise 9 Key for Exercise 9
10. Parameter Estimation
11. Principal Component Analysis and Linear Discriminant Analysis PCA,LDA,ICA)   PCA and LDA (pdf) ACEAT Paper
data8OX dataIMOX dataIRIS
Matlab Code for PCA Matlab Function for PCA Matlab Code for LDA Mahalanobis distance
12. Cluster Analysis Clustering Big Data (Video from YouTube by Prof. A.K. Jain, MSU)
   Data Mining and Machine Learning Machine Learning

Textbooks:

1. Lecture Notes
2. H. Anton and C. Rorres, Elementary Linear Algebra with Supplentary Applications, International Student Version, John Wiley and Sons (11e, 2015)
3. S. Leon, Linear Algebra with Applications, Global Edition (v9, 2015).
4. S. Ghahramani, Fundamentals of Probability with Stochastic Processes, Prentice-Hall, (4th ed., 2019)
5. R.V. Hogg, E.A. Tanis, D.L. Zimmerman, Probability and Statistical Inference, Pearson Global Edition (9e, 2015)
6. D. Hanselman and B. Littlefield, Mastering MatLab (2012)

References:

1. C. M. Bishop, Pattern Recognition and Machine Learning (2006)
2. A.K. Jain and R.C. Dubes, Algorithms for Clustering Data, Prentice-Hall (1998+)
3. S. Theodoridis and K. Koutroumbas, Pattern Recognition, 4th ed. Academic Press, 2010

Grading:
(40%) Assignments and Class Attendance
Homework 1 Data for Problem 1
Homework 2 Partial Solution 2 Matrix T Matrix B Matrix A Matrix C
Drive program for shiftedQR shiftedQR Codes C Program for Computing Eigenvalues/Eigenvectors
Homework 3 Solution 3
Homework 4 Solution 4
   Exponential Distributions    Poisson Distributions    Normal Distributions

(30%) Two Take-Home Tests
Test 1 Solution 1 -

Test 2 Solution 2

(15%) An Oral Presentation and A Term Project Report
GroupNumber.ppt (no more than 12 slides) is submitted in an e-mail attachment Slides for Presentation due 11:59, Monday, December 23, 2019
A Sample PPT Page

(15%) A Term Project Report
Visualization of Projection and Clustering 8OX Data data30x4 53stdL3.txt (texture features) texture images
Matlab Code of PCA Matlab Code for PCP     Matlab Code of LDA Mahalanobis distance
Gene Expression Data Due By 11:59 Wednesday, January 8, 2020

Updated on December 30, 2019
Homework 1 Data for Problem 1
Homework 2 Partial Solution 2 Matrix T Matrix B Matrix A Matrix C Drive program for shiftedQR shiftedQR Codes C Program for Computing Eigenvalues/Eigenvectors
Homework 3 Solution 3
Homework 4 Solution 4 Exponential Distributions Poisson Distributions Normal Distributions (30%) Two Take-Home Tests Test 1 Solution 1 - Test 2 Solution 2 (15%) An Oral Presentation and A Term Project Report GroupNumber.ppt (no more than 12 slides) is submitted in an e-mail attachment Slides for Presentation due 11:59, Monday, December 23, 2019 A Sample PPT Page (15%) A Term Project Report Visualization of Projection and Clustering 8OX Data data30x4 53stdL3.txt (texture features) texture images Matlab Code of PCA Matlab Code for PCP Matlab Code of LDA Mahalanobis distance Gene Expression Data Due By 11:59 Wednesday, January 8, 2020 Updated on December 30, 2019
Test 1 Solution 1 -
Test 2 Solution 2 (15%) An Oral Presentation and A Term Project Report GroupNumber.ppt (no more than 12 slides) is submitted in an e-mail attachment Slides for Presentation due 11:59, Monday, December 23, 2019 A Sample PPT Page (15%) A Term Project Report Visualization of Projection and Clustering 8OX Data data30x4 53stdL3.txt (texture features) texture images Matlab Code of PCA Matlab Code for PCP Matlab Code of LDA Mahalanobis distance Gene Expression Data Due By 11:59 Wednesday, January 8, 2020 Updated on December 30, 2019
GroupNumber.ppt (no more than 12 slides) is submitted in an e-mail attachment Slides for Presentation due 11:59, Monday, December 23, 2019 A Sample PPT Page (15%) A Term Project Report Visualization of Projection and Clustering 8OX Data data30x4 53stdL3.txt (texture features) texture images Matlab Code of PCA Matlab Code for PCP Matlab Code of LDA Mahalanobis distance Gene Expression Data Due By 11:59 Wednesday, January 8, 2020 Updated on December 30, 2019
Visualization of Projection and Clustering 8OX Data data30x4 53stdL3.txt (texture features) texture images Matlab Code of PCA Matlab Code for PCP Matlab Code of LDA Mahalanobis distance Gene Expression Data Due By 11:59 Wednesday, January 8, 2020 Updated on December 30, 2019