Understanding math will make you a better engineer.
Imagine a translating device that allows you to engage in fluent conversations with any person in the world, regardless of the language. This is what mathematics can do for you in science and engineering.
So, I am working to create the best book to study the mathematics of machine learning.
Join the early access!
What the readers say
With great pleasure I can recommend this wonderful book the creation of which I experience every week. You can explore it in pdf, html and jupyter notebooks.
This book is a fantastic resource for those who want to understand the foundations of ML algorithms and are no longer satisfied with considering them as 'black boxes'. BTW with the 'early access' scheme, waiting for the next chapter to be published feels like waiting for your favourite weekly TV show. Nice.
Very impressed with what you’ve done with the book. As someone who’s not an expert in math I found your material super helpful. Thank you!
Being part of early access gives the reader the pleasure to travel with the author. I'm enjoying it thoroughly. Even more excited about what awaits 2 years from now as per your roadmap. I'm sure this will be a gold mine for data science enthusiasts and practitioners.
Math explained, as simple as possible.
Every concept is explained step by step, from elementary to advanced. No fancy tricks and mathematical magic. Intuition and motivation first, technical explanations second.
Open up the black boxes.
Machine learning is full of mysterious black boxes. Looking inside them allows you to be a master of your field and always understand what is going on.
The roadmap
This is what will be covered in detail
Linear algebra
Vector spaces ✓
Structure of vector spaces: norms and inner products ✓
Linear transformations and their matrices ✓
Eigenvectors and eigenvalues ✓
Solving linear equation systems ✓
Special matrices and their decomposition ✓
Calculus
Function limits and continuity ✓
Differentiation ✓
Minima, maxima, and the derivative ✓
Basics of gradient descent ✓
Integration ✓
Multivariable calculus
Partial derivatives and gradients
Minima and maxima in multiple dimensions
Gradient descent in its full form
Constrained optimization
Integration in multiple dimensions
Probability theory
The mathematical concept of probability
Distributions and densities
Random variables
Conditional probability
Expected value
Information theory and entropy
Multidimensional distributions
Statistics
Fundamentals of parameter estimation
Maximum likelihood estimation
The Bayesian viewpoint of statistics
Bias and variance
Measuring predictive performance of statistical models
Multivariate methods
Machine learning
The taxonomy of machine learning tasks
Linear and logistic regression
Fundamentals of clustering
Principal Component Analysis
Most common loss functions and what’s behind them
Regularization of machine learning models
t-distributed stochastic neighbor embedding
Neural networks
Logistic regression, revisited
Activation functions
Computational graphs
Backpropagation
Loss functions, from a neural network perspective
Weight initialization
Advanced optimization
Stochastic gradient descent
Adaptive methods
Accelerated schemes
The Lookahead optimizer
Ranger
Convolutional networks
The convolutional layer, in-depth
Dropout and BatchNorm
Fundamental tasks of computer vision
Alexnet and Resnet
Autoencoders
Generative Adversarial Networks
Want to find out more?
Listen to Practical AI’s interview with Tivadar about the book!
Practical AI 152: The mathematics of machine learning – Listen on Changelog.com
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