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SVD Applications

Singular Value Decomposition (SVD) is one of the most general-purpose tools in numerical linear algebra for data processing. The data reduction mechanism of SVD allows us to identify the key features of big data, that are necessary for analyzing, understanding, and describing the features.

In this repository, we have primarily focused on compressing images with high resolution using SVD.

  • Books

  • Mathematics Course Material

  • Statistics Course Material

  • Machine Learning Course Material

  • Previous Year Solved Papers for ISI and TIFR Entrance Exams

$${\color{violet}Books}$$

  1. Challenging Mathematical Problems for BS Entrances
  2. Olympiad Mathematics
  3. Solving Mathematical Problems for MS Entrances

$${\color{orange}Mathematics \ Course \ Material}$$

  1. Differential Calculus
  2. Linear Algebra Part 1, Part 2
  3. Matrix Algebra
  4. Mathematical Analysis
  5. Numerical Analysis
  6. Operations Research
  7. Real Analysis
  8. Sequence and Series of Real Numbers

$${\color{lightgreen}Statistics \ Course \ Material}$$

  1. Introduction to Probability
  2. Probability Theory Part 1, Part 2, Part 3, Part 4
  3. Descriptive Statistics Part 1, Part 2
  4. Population Statistics
  5. Time Series Analysis
  6. Economic Statistics Part 1, Part 2
  7. Statistical Quality Control Part 1, Part 2
  8. Official Statistics
  9. Transformations of Random Variables
  10. Large Sample Theory
  11. Sampling Distribution
  12. Statistical Inference Part 1, Part 2, Part 3,
  13. Nonparametric Inference
  14. Bayesian Inference
  15. ANOVA and Design of Experiment
  16. Sample Survey
  17. Multivariate Statistics
  18. Practical on Statistics
  19. Statistics for Decision Making
  20. Reliability Theory
  21. Stochastic Process
  22. Regression Techniques
  23. Industrial Experimentation

$${\color{red}Machine \ Learning \ Course \ Material}$$

  1. Business Analytics
  2. Management Information System
  3. Pattern Recognition
  4. Mathematics for Machine Learning by Stanford University
  5. Machine Learning by Stanford University

$${\color{lightblue}Previous \ Year \ Solved \ Papers \ for \ ISI \ and \ TIFR \ Entrance \ Exams}$$

  1. 240 TRUE FALSE Solutions
  2. 100 Objective Solutions
  3. ISI MMATH Solution
  4. ISI Problems with Solutions
  5. TIFR Solved Papers
  6. TOMATO Subjective Solutions

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