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Applied Linear Algebra in Data Analysis

Semester: August - December, 2024

The course information document is here: Course Information

Course TAs (Aug 2024)

Parvathy Sujith Diwakar Neelakshi

   Parvathy N         Sujith C       Diwakar BR     Neelakshi G

Course Modules

  1. Introduction
    Lecture Slides
  2. Vectors
    Lecture Slides | Video lectures: [1] [2] [3] | Tutorials: [1] [2]
  3. Matrices
    Lecture Slides | Video lectures: [1] [2]
  4. Solution to Linear Equation
    Lecture Slides | Video lectures: [1] [2]
  5. Case Study 01 + Applications
    Lecture Slides | Video lectures: [1] [2] | Notebooks: [01] [01b]
  6. Orthogonality
    Lecture Slides | Video lectures: [1] [2] [3]
  7. Matrix Inverses
    Lecture Slides | Video lectures: [1] [2]
  8. Application: Signal Processing
    Lecture Slides
  9. Eigenvalues and Eigenvectors
    Lecture Slides
  10. Positive Definiteness and Matrix Norms
    Lecture Slides
  11. Application: Linear Dynamical Systems
    Lecture Slides
  12. Singular Value Decomposition
    Lecture Slides
  13. Application: Dimensionality Reduction & PCA
    Lecture Slides
  14. Unconstrained Optimization
    Lecture Slides
  15. Constrained Optimization
    Lecture Slides
  16. Additional Topics in Optimization
  17. Linear Least Squares & its Variants
    Lecture Slides
  18. Application: Signal/Image Processing
  19. Application: Machine Learning
  20. Linear Programming & Simplex Method
  21. Application: Neuromechanics, Radiotherapy
  22. Introduction to Probability
  23. Introduction to Statistics
  24. Outro

Course Notes

The notes for the course can be found here: ALADA Notes

ALADA in One Page

A one-page summary of the course can be found here. This document is still a work in progress. We will update this as we progress through the course. You are encouraged to keep a copy of this document with you on your laptop or your phone for quick reference during class.

Assignments

All assignment-related information is available in the assignments folder of the repository. The assignment problems can be found in the individual chapters of the course notes. All assignments will be due by 11:59 PM on the due date. You have 3 late days to use throughout the semester. Each late day extends the deadline by 24 hours. After the late days are used, late submissions will not be accepted.

  1. Assignment 01 [20 Oct 2024]
    1.1 Vectors | Problems: Ch: 1, Ex: All problems | Data: expt1.csv
    1.2. Matrices | Problems: Ch: 2, Ex: All problems

  2. Assignment 02 [31 Nov 2024]
    2.1. Solution to Linear: Ch:3, Ex: All problems
    2.2. Case Study 01 | Problems: [CS01] [CS01b] | Data: tokens-010.txt, tokens-025.txt
    2.3. Orthogonality: Ch: 4, Ex: All problems

  3. Assignment 03 [10 Nov 2024]
    3.1. Matrix Inverses
    3.2. Signal Processing

  4. Assignment 04 [20 Nov 2024]
    4.1. Eigenvectors and Eigenvalues
    4.2. Linear Dynamical Systems

  5. Assignment 05 [30 Nov 2024]
    5.1. Positive Definite Matrices
    5.2. SVD
    5.3. Dimensionality Reduction

  6. Assignment 06 [10 Dec 2024] \ 6.1. Linear Least Squares

Tutorials

We will have regular tutorial sessions to solve problems in class on topics covered until that point. The tutorials file is available here

Submission Link

All assignments must be submitted as soft copies on the submission portal.

Exam Dates

Mid-Semester Exam: 15 October 2024, 7:30 - 8:30 AM

Final Exam: 21 December 2024, 7:30 - 10:30 AM

ALADA Animations

The repository also has a set of interactive animations to demonstrate some of the concepts covered in the course. You can find details about these animations here.

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