# Inverse Methods in Heat Transfer

- Institution: IIT Madras
- Department: Mechanical Engineering
- Teacher: Prof. Balaji Srinivasan
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112106316)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112106316)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to the Inverse Methods in Heat Transfer Course](https://invisiblenetwork.ai/learn/nptel/112106316/573b9dabbfab) (Video)
2. [Inverse Problems - Definition, History and Applications](https://invisiblenetwork.ai/learn/nptel/112106316/48617a020efe) (Video)
3. [The inverse problem solving process](https://invisiblenetwork.ai/learn/nptel/112106316/e408b31df4e2) (Video)
4. [Review of Basic Heat Transfer for this course](https://invisiblenetwork.ai/learn/nptel/112106316/38bbac6c64fe) (Video)
5. [INTRODUCTION TO WEEK 02](https://invisiblenetwork.ai/learn/nptel/112106316/26b57c3dcf46) (Video)
6. [Introduction to Linear Regression for Inverse Problems](https://invisiblenetwork.ai/learn/nptel/112106316/5b9de9a0ed80) (Video)
7. [Example Application of Linear regression for an inverse conduction problem](https://invisiblenetwork.ai/learn/nptel/112106316/2c92a99d6482) (Video)
8. [Goodness of Fit and Coefficient of Determination](https://invisiblenetwork.ai/learn/nptel/112106316/91daa85c4ba0) (Video)
9. [Linear Regression with Quadratic Model](https://invisiblenetwork.ai/learn/nptel/112106316/011f22bb3965) (Video)
10. [SUMMARY OF WEEK 02](https://invisiblenetwork.ai/learn/nptel/112106316/03ca517d0d36) (Video)
11. [INTRODUCTION TO WEEK 03](https://invisiblenetwork.ai/learn/nptel/112106316/704acfbb4996) (Video)
12. [Introduction to Normal Equations for linear models](https://invisiblenetwork.ai/learn/nptel/112106316/56c88859fa1f) (Video)
13. [Normal Equations for linear models (contd)](https://invisiblenetwork.ai/learn/nptel/112106316/d2bd2bdd2f16) (Video)
14. [Parity Plots](https://invisiblenetwork.ai/learn/nptel/112106316/99223d040257) (Video)
15. [Programming Inverse Methods using Normal Equations](https://invisiblenetwork.ai/learn/nptel/112106316/7b9f2388f3c4) (Video)
16. [Variants on the Linear Model for inverse problems](https://invisiblenetwork.ai/learn/nptel/112106316/ab8cf9b6f52e) (Video)
17. [SUMMARY OF WEEK 03](https://invisiblenetwork.ai/learn/nptel/112106316/f94657f4584d) (Video)
18. [The General Inverse Methods Process](https://invisiblenetwork.ai/learn/nptel/112106316/aedff0a45b7b) (Video)
19. [Simple nonlinear inverse problem -- Transient Heat transfer](https://invisiblenetwork.ai/learn/nptel/112106316/058408c742eb) (Video)
20. [Review of required calculus results](https://invisiblenetwork.ai/learn/nptel/112106316/7c4524731647) (Video)
21. [Gradient Descent Algorithm](https://invisiblenetwork.ai/learn/nptel/112106316/c4a51e1c25a5) (Video)
22. [Gradient Descent -- Simple Example](https://invisiblenetwork.ai/learn/nptel/112106316/6716e2cf1641) (Video)
23. [Gradient Descent for Nonlinear Inverse Problem -- Theory](https://invisiblenetwork.ai/learn/nptel/112106316/95ac8249eaf0) (Video)
24. [Gradient Descent for Nonlinear Inverse Problem -- Coding Example](https://invisiblenetwork.ai/learn/nptel/112106316/ec8515545f08) (Video)
25. [Newton Algorithm for a System of Equations](https://invisiblenetwork.ai/learn/nptel/112106316/f0a23201bbf0) (Video)
26. [Gauss Newton Algorithm -- Derivation and Code](https://invisiblenetwork.ai/learn/nptel/112106316/41c7f7af8e88) (Video)
27. [Overfitting and Regularization for Linear Models](https://invisiblenetwork.ai/learn/nptel/112106316/c903b2cabe90) (Video)
28. [Tikhonov Regularization and Levenberg-Marquardt -- Theory](https://invisiblenetwork.ai/learn/nptel/112106316/af2e4a525081) (Video)
29. [Tikhonov and Levenberg-Marquardt -- Example Code](https://invisiblenetwork.ai/learn/nptel/112106316/0815200fab12) (Video)
30. [Introduction to Probability for Inverse Methods](https://invisiblenetwork.ai/learn/nptel/112106316/ed81ab175e6d) (Video)
31. [Sum and Product Rules of Probability](https://invisiblenetwork.ai/learn/nptel/112106316/3043abaa4dd3) (Video)
32. [Bayes Theorem -- Simple Examples](https://invisiblenetwork.ai/learn/nptel/112106316/7efb0af4a86d) (Video)
33. [Independence and Expectation](https://invisiblenetwork.ai/learn/nptel/112106316/fcd4bb6b17d4) (Video)
34. [Variance and Covariance](https://invisiblenetwork.ai/learn/nptel/112106316/5fb6f195e4c2) (Video)
35. [Gaussian distribution and the standard normal table](https://invisiblenetwork.ai/learn/nptel/112106316/a02ce83bc7d4) (Video)
36. [Maximum Likelihood Estimate](https://invisiblenetwork.ai/learn/nptel/112106316/1ec4c217ed6a) (Video)
37. [MLE, MAP estimates](https://invisiblenetwork.ai/learn/nptel/112106316/6f011dca2444) (Video)
38. [Introduction to Bayesian Methods for Inverse Problems](https://invisiblenetwork.ai/learn/nptel/112106316/f38f1840494c) (Video)
39. [Offline Bayesian Estimation](https://invisiblenetwork.ai/learn/nptel/112106316/563ac1498c80) (Video)
40. [Offline Bayesian Estimation -- MATLAB Demo](https://invisiblenetwork.ai/learn/nptel/112106316/f6be8e866d4d) (Video)
41. [MHMCMC for Inverse Problems](https://invisiblenetwork.ai/learn/nptel/112106316/b33757666259) (Video)
42. [MHMCMC for Inverse Problems -- MATLAB Demo](https://invisiblenetwork.ai/learn/nptel/112106316/2be349defd31) (Video)
43. [Why Machine Learning in Inverse Heat Transfer?](https://invisiblenetwork.ai/learn/nptel/112106316/353fddc3d3bf) (Video)
44. [Overview of AI and ML](https://invisiblenetwork.ai/learn/nptel/112106316/1c0e79d00a64) (Video)
45. [Supervised Machine Learning as an Inverse Problem](https://invisiblenetwork.ai/learn/nptel/112106316/2781add3284e) (Video)
46. [Introduction to Week 9 - From Linear Models to Neural Networks](https://invisiblenetwork.ai/learn/nptel/112106316/847ce8eaef36) (Video)
47. [Gradient Descent - Batch, Stochastic and Mini Batch](https://invisiblenetwork.ai/learn/nptel/112106316/d853a65329d9) (Video)
48. [Logistic Regression - The Forward Model](https://invisiblenetwork.ai/learn/nptel/112106316/f0f05453bbe0) (Video)
49. [Logistic Regression - Binary Entropy Cost Function and Gradient](https://invisiblenetwork.ai/learn/nptel/112106316/f84d38f595fb) (Video)
50. [Multiclass Classification](https://invisiblenetwork.ai/learn/nptel/112106316/79325b8088de) (Video)
51. [Linear Separability and Neural Networks](https://invisiblenetwork.ai/learn/nptel/112106316/1a4c1f600c9f) (Video)
52. [Introduction to Week 10 - XOR and Deeper networks](https://invisiblenetwork.ai/learn/nptel/112106316/533e7c56b0a9) (Video)
53. [Forward pass through a simple neural network](https://invisiblenetwork.ai/learn/nptel/112106316/0344a9fd3f43) (Video)
54. [Backprop in a scalar chain](https://invisiblenetwork.ai/learn/nptel/112106316/1005dd472919) (Video)
55. [Backprop in a MLP](https://invisiblenetwork.ai/learn/nptel/112106316/e4062b4a6414) (Video)
56. [Introduction to Week 11-- ANNs as Surrogate models](https://invisiblenetwork.ai/learn/nptel/112106316/9e65015545f1) (Video)
57. [Physics Informed Neural Networks -- Introduction](https://invisiblenetwork.ai/learn/nptel/112106316/7e6876f54b89) (Video)
58. [Physics Informed Neural Networks -- an intuitive explanation](https://invisiblenetwork.ai/learn/nptel/112106316/23dcc14335e6) (Video)
59. [Physics Informed Neural Networks -- BC incorporation](https://invisiblenetwork.ai/learn/nptel/112106316/252ab3136241) (Video)
60. [PINNs for inverse problems](https://invisiblenetwork.ai/learn/nptel/112106316/f53d986e4767) (Video)
61. [Introduction to Week 12-- Sensitivity Analysis](https://invisiblenetwork.ai/learn/nptel/112106316/c1fd9d53e428) (Video)
62. [Code Examples of Logistic Regression -- OR and AND gates](https://invisiblenetwork.ai/learn/nptel/112106316/d70c40e1dc14) (Video)
63. [Code Example of shallow neural network -- XOR gate](https://invisiblenetwork.ai/learn/nptel/112106316/d40d7cfdb7ce) (Video)
64. [Code walkthrough for PINNs in Burgers equation](https://invisiblenetwork.ai/learn/nptel/112106316/ebb02eaaae4f) (Video)
65. [Formulation of a PINN based inverse problem in unsteady conduction](https://invisiblenetwork.ai/learn/nptel/112106316/41f159b02a56) (Video)
66. [Formulation of a surrogate model based inverse solution in unsteady conduction](https://invisiblenetwork.ai/learn/nptel/112106316/8c12bc2348cd) (Video)
67. [Summary of course](https://invisiblenetwork.ai/learn/nptel/112106316/a9c4873c858e) (Video)