Math 2.0

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Mathematics for Machine Learning BZCEY9T8E6

URIm2://res/BZCEY9T8E6
Kindcourse
CreatorsDebashree Guha Adhya (instructor), Debjani Chakraborty (instructor)
Date2024-07-08
Scopein
Idscourse 03w5sq511:111105489

Expressions

e1: edition

Languageen
Date2024-07-08
Contents
  • part 1: Week 1
  • session 1: Lecture 1: Introduction to Machine Learning
  • session 2: Lecture 2: Few Instances of Learning
  • session 3: Lecture 3: Loss Function Optimization
  • session 4: Lecture 4: Phases of Machine Learning Systems
  • session 5: Lecture 5: Single-layer and multi-layer neurons
  • part 2: Week 2
  • session 6: Lecture 6: Introduction to Convexity
  • session 7: Lecture 7: Study on Convex Function
  • session 8: Lecture 8: Formation of Convex Hull
  • session 9: Lecture 9: Optimization of Functions
  • session 10: Lecture 10: Convex Optimization Problem
  • part 3: Week 3
  • session 11: Lecture 11: Directional derivative, Gradient, Jacobian, Firest Order Taylor Formula
  • session 12: Lecture 12: Gradient, Jacobian, First order Taylor formula
  • session 13: Lecture 13: Gradient Descent Optimization Technique
  • session 14: Lecture 14: Gradient Descent, Interpretation from Taylor approximation
  • session 15: Lecture 15: Sub-Gradient Descent Optimization Technique
  • part 4: Week 4
  • session 16: Lecture 16: Introduction to Underfitting & Overfitting
  • session 17: Lecture 17: Relation of Bias & Variance to Underfitting & Overfitting
  • session 18: Lecture 18: Bias-Variance Trade-off
  • session 19: Lecture 19: Ridge Regression
  • session 20: Lecture 20: LASSO Regression
  • part 5: Week 5
  • session 21: Lecture 21: Stochastic Gradient descent
  • session 22: Lecture 22: Stochastic Gradient descent (cont.)
  • session 23: Lecture 23: Variants of Gradient descent
  • session 24: Lecture 24: Momentum based Gradient descent
  • session 25: Lecture 25: Accelerated Gradient descent
  • part 6: Week 6
  • session 26: Lecture 26: Linear Predictors (Logistic Regression)
  • session 27: Lecture 27: Linear Predictors (Logistic Regression) (Contd..)
  • session 28: Lecture 28: Linear Predictors (Logistic Regression) (Contd..)
  • session 29: Lecture 29: Linear Predictors (Logistic Regression) (Contd..)
  • session 30: Lecture 30: Linear Predictors (Support Vector Machines)
  • part 7: Week 7
  • session 31: Lecture 31: Introduction to Theory of Estimation
  • session 32: Lecture 32: Probability Theory
  • session 33: Lecture 33: Discrete Probability Distribution
  • session 34: Lecture 34: Continuous Probability Distribution
  • session 35: Lecture 35: Maximum likelihood Estimation
  • part 8: Week 8
  • session 36: Lecture 36: MLE for Discrete Probability Distribution
  • session 37: Lecture 37: MLE for Continuous Probability Distribution
  • session 38: Lecture 38: Properties of Estimators
  • session 39: Lecture 39: MLE for Linear and Logistic Regression
  • session 40: Lecture 40: MLE for Naïve Bayes Model
  • part 9: Week 9
  • session 41: Lecture 41: Eigen value & eigen vector, Linearly independent vectors
  • session 42: Lecture 42: Orthogonal Basis, Eigen value decomposition
  • session 43: Lecture 43: Orthogonal Basis, Eigen value decomposition Continued
  • session 44: Lecture 44: Principal Component Analysis
  • session 45: Lecture 45: Principal Component Analysis Continued
  • part 10: Week 10
  • session 46: Lecture 46: Introduction to Dynamical System
  • session 47: Lecture 47: Dynamical System and Control
  • session 48: Lecture 48: Discrete Fourier Transform
  • session 49: Lecture 49: Inverse Fourier Transform
  • session 50: Lecture 50: Applications: Discrete Fourier Transform
  • part 11: Week 11
  • session 51: Lecture 51: Introduction to Mixture models
  • session 52: Lecture 52: Introduction to Gaussian Mixture Models
  • session 53: Lecture 53: EM Algorithm
  • session 54: Lecture 54: EM Algorithm (cont.)
  • session 55: Lecture 55: A brief application to predict HMM parameters
  • part 12: Week 12
  • session 56: Lecture 56 : Conditional probability, Bayes theorem
  • session 57: Lecture 57 : Bayes Decision Rule
  • session 58: Lecture 58 : Bayes Decision Rule
  • session 59: Lecture 59 : Bayes Decision Rule (Bayesian minimum risk classifier)
  • session 60: Lecture 60: Bayes Decision Rule (Linear Discriminant Analysis)

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