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#1 Introduction to the Inverse Methods in Heat Transfer Course
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Inverse Methods in Heat Transfer
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- 1 #1 Introduction to the Inverse Methods in Heat Transfer Course
- 2 #2 Inverse Problems | Definition, History & Applications | Inverse Methods in Heat Transfer
- 3 #3 The inverse Problem Solving Process | Inverse Methods in Heat Transfer
- 4 #4 Review of Basic Heat Transfer for this Course | Inverse Methods in Heat Transfer
- 5 #5 Introduction To Week 02 | Inverse Methods in Heat Transfer
- 6 #6 Introduction to Linear Regression for Inverse Problems | Inverse Methods in Heat Transfer
- 7 #7 Example | Application of Linear Regression for an Inverse Conduction Problem
- 8 #8 Goodness of Fit & Coefficient of Determination | Inverse Methods in Heat Transfer
- 9 #9 Linear Regression with Quadratic Model | Inverse Methods in Heat Transfer
- 10 #10 Summary of Week 02 | Inverse Methods in Heat Transfer
- 11 #11 Introduction To Week 03 | Inverse Methods in Heat Transfer
- 12 #12 Introduction to Normal Equations for Linear Models | Part 1 | Inverse Methods in Heat Transfer
- 13 #13 Normal Equations for Linear Models | Part 2 | Inverse Methods in Heat Transfer
- 14 #14 Parity Plots | Inverse Methods in Heat Transfer
- 15 #15 Programming Inverse Methods using Normal Equations | Inverse Methods in Heat Transfer
- 16 #16 Variants on the Linear Model for Inverse Problems | Inverse Methods in Heat Transfer
- 17 #17 Summary Of Week 03 | Inverse Methods in Heat Transfer
- 18 #18 The General Inverse Methods Process | Inverse Methods in Heat Transfer
- 19 #19 Simple Nonlinear Inverse Problem | Transient Heat Transfer | Inverse Methods in Heat Transfer
- 20 #20 Review of Required Calculus Results | Inverse Methods in Heat Transfer
- 21 #21 Gradient Descent Algorithm | Inverse Methods in Heat Transfer
- 22 #22 Gradient Descent | Simple Example | Inverse Methods in Heat Transfer
- 23 #23 Gradient Descent for Nonlinear Inverse Problem | Theory | Inverse Methods in Heat Transfer
- 24 #24 Gradient Descent for Nonlinear Inverse Problem Coding Example Theory
- 25 #25 Newton Algorithm for a System of Equations | Inverse Methods in Heat Transfer
- 26 #26 Gauss Newton Algorithm | Derivation & Code | Inverse Methods in Heat Transfer
- 27 #27 Overfitting & Regularization for Linear Models | Inverse Methods in Heat Transfer
- 28 #28 Tikhonov Regularization & Levenberg Marquardt | Theory | Inverse Methods in Heat Transfer
- 29 #29 Tikhonov & Levenberg Marquardt | Example Code | Inverse Methods in Heat Transfer
- 30 #30 Introduction to Probability for Inverse Methods | Inverse Methods in Heat Transfer
- 31 #31 Sum & Product Rules of Probability | Inverse Methods in Heat Transfer
- 32 #32 Bayes Theorem | Simple Examples | Inverse Methods in Heat Transfer
- 33 #33 Independence & Expectation | Inverse Methods in Heat Transfer
- 34 #34 Variance & Covariance | Inverse Methods in Heat Transfer
- 35 #35 Gaussian Distribution | The Standard Normal Table | Inverse Methods in Heat Transfer
- 36 #36 Maximum Likelihood Estimate | Inverse Methods in Heat Transfer
- 37 #37 MLE, MAP Estimates | Inverse Methods in Heat Transfer
- 38 #38 Introduction to Bayesian Methods for Inverse Problems | Inverse Methods in Heat Transfer
- 39 #39 Offline Bayesian Estimation | Inverse Methods in Heat Transfer
- 40 #40 Offline Bayesian Estimation | MATLAB Demo | Inverse Methods in Heat Transfer
- 41 #41 MHMCMC for Inverse Problems | Inverse Methods in Heat Transfer
- 42 #42 MHMCMC for Inverse Problems | MATLAB Demo | Inverse Methods in Heat Transfer
- 43 #43 Why Machine Learning in Inverse Heat Transfer? | Inverse Methods in Heat Transfer
- 44 #44 Overview of AI & ML | Inverse Methods in Heat Transfer
- 45 #45 Supervised Machine Learning as an Inverse Problem | Inverse Methods in Heat Transfer
- 46 #46 Introduction to Week 9 | From Linear Models to Neural Networks | Inverse Methods in HeatTransfer
- 47 #47 Gradient Descent | Batch, Stochastic & Mini Batch | Inverse Methods in Heat Transfer
- 48 #48 Logistic Regression | The Forward Model | Inverse Methods in Heat Transfer
- 49 #49 Logistic Regression | Binary Entropy Cost Function & Gradient | Inverse Methods inHeat Transfer
- 50 #50 Multiclass Classification | Inverse Methods in Heat Transfer
- 51 #51 Linear Separability & Neural Networks | Inverse Methods in Heat Transfer
- 52 #52 Introduction to Week 10 | XOR & Deeper Networks | Inverse Methods in Heat Transfer
- 53 #53 Forward Pass Through a Simple Neural Network | Inverse Methods inHeat Transfer
- 54 #54 Backprop in a Scalar Chain | Inverse Methods in Heat Transfer
- 55 #55 Backprop in a MLP | Inverse Methods in Heat Transfer
- 56 #56 Introduction to Week 11 | ANNs as Surrogate Models | Inverse Methods in Heat Transfer
- 57 #57 Physics Informed Neural Networks | Introduction | Inverse Methods in Heat Transfer
- 58 #58 Physics Informed Neural Networks | An Intuitive Explanation | Inverse Methods in Heat Transfer
- 59 #59 Physics Informed Neural Networks | BC Incorporation | Inverse Methods in Heat Transfer
- 60 #60 PINNs for Inverse Problems | Inverse Methods in Heat Transfer
- 61 #61 Introduction to Week 12 | Sensitivity Analysis | Inverse Methods in Heat Transfer
- 62 #62 Code Examples of Logistic Regression | OR & AND Gates | Inverse Methods in Heat Transfer
- 63 #63 Code Example of Shallow Neural Network | XOR Gate | Inverse Methods in Heat Transfer
- 64 #64 Code Walkthrough for PINNs in Burgers Equation | Inverse Methods in Heat Transfer
- 65 #65 Formulation of a PINN Based Inverse Problem in Unsteady Conduction
- 66 #66 Formulation of a Surrogate Model Based Inverse Solution in Unsteady Conduction
- 67 #67 Summary of Course | Inverse Methods in Heat Transfer
