Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. C.Balaji, Prof.S. Balaji
NPTEL Co-ordinating Institute : IIT Madras
NPTEL Lecture Count : 37
NPTEL Course Size : 11 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Introduction to inverse problems
Lecture 2 - Fermi estimation
Lecture 3 - Forward/Direct and Inverse problems
Lecture 4 - Key drivers for studying inverse methods in engineering
Lecture 5 - Formulation for inverse problems
Lecture 6 - Statistical tools for estimation
Lecture 7 - Statistical description of errors
Lecture 8 - Well-posed and ill-posed problems
Lecture 9 - Probability and Statistics Brief overview - I
Lecture 10 - Probability and Statistics Brief overview - II
Lecture 11 - Gaussian distribution
Lecture 12 - Gaussian distribution (Continued...), and Maximum Likelihood Estimation (MLE)
Lecture 13 - Linear least square regression
Lecture 14 - Linear least square regression (Continued...)
Lecture 15 - Alternatives to Linear least square
Lecture 16 - Polynomial regression
Lecture 17 - Inverse problems in transient conduction - I
Lecture 18 - Inverse problems in transient conduction - II
Lecture 19 - Non-linear regression
Lecture 20 - Gauss-Newton algorithm (GNA)
Lecture 21 - Gauss-Newton algorithm (GNA) Example
Lecture 22 - Levenberg-Marquardt algorithm (LMA)
Lecture 23 - Tikhonov regularization
Lecture 24 - Jacobian and its calculation
Lecture 25 - Bayesian methods
Lecture 26 - Bayesian methods (Continued...)
Lecture 27 - Metropolis-Hastings algorithm (MH) and Markov Chain Monte Carlo Methods (MCMC)
Lecture 28 - Introduction to machine learning in heat transfer
Lecture 29 - Overview of machine learning
Lecture 30 - Calculation in a neural network model
Lecture 31 - Gradient Descent method
Lecture 32 - Gradient Descent method (Continued...)
Lecture 33 - Back propagation
Lecture 34 - Neural network as a surrogate forward model
Lecture 35 - PINN for an inverse problem
Lecture 36 - PINN for an inverse problem (Continued...)
Lecture 37 - Inverse methods in heat transfer - Summary