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Deep Learning for academics

This focuses on Introduction To Deep Learning course, that is offered by ECE dept.
Class recordings, two lectures from April 2023

Batch2021 covered only the first 5chapters of the recommended book and we barely had classes post midsem.
Entire April was for Project Discussion and classes moved online, so we could not cover any topic in detail.

Projects were mainly stupid simple tutorial ones, try to have some uniqueness and present results comparing different learning rates and optimizers.

Book to follow : Deep Learning by Ian Goodfellow, first 6chapters
Playlist if you are bored, by Chai Time Data Science

Imp but not in book
Histograms, basically Frequency plotting

Ch1

Skip chapter, not much to see around

Ch2 Linear Algebra

Rank of matrix
Trace of matrix
Span of matrix
L1, L2 norms

Principal Component Analysis

  • Most imp topic in the entire course, was asked both in midsem and endsem evaluation
  • Ch3 Information Theory

    Basics of Probability and Random Processes
    Mass distributions and moments (mean, variance)
    Chain rule of conditional probabilities, see pg75 and pg76 for diagram

    Gaussian
    Gaussian with

    β parameter
    Gaussian in matrix form (was asked in endsem for 10marks, difference between A and A+)

    Functions and their properties
    Sigmoid and softplus
    Try to derive all the 10relations, was asked in midsem for 5marks pg67

    Information Theory
    H(x) Entropy
    KL divergence

    Ch4

    Gradient descent
    Jacobian and hessian (basically jacobian is the matrix of simple derivatives, hessian is a matrix of double derivaties)

    Good to understand
    Saddle point, pg86

    KKT optimization, min max max optimization
    Linear Least Sqaures, simply remember the formulas for midsem.

    Ch5

    Underfitting and Overfitting pg127 diagram

    What is irreducible error ? (error due to minor disturbances in our sampled data)

    Stochastic Gradient Descent vs Mini Batch

    Curse of dimensionality, small 2mark