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Introduction

16 See playlist ↗

Vectors | Chapter 1, Essence of linear algebra

Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra

Linear transformations and matrices | Chapter 3, Essence of linear algebra

Matrix multiplication as composition | Chapter 4, Essence of linear algebra

Three-dimensional linear transformations | Chapter 5, Essence of linear algebra

The determinant | Chapter 6, Essence of linear algebra

Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra

Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra

Dot products and duality | Chapter 9, Essence of linear algebra

Cross products | Chapter 10, Essence of linear algebra

Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra

Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra

Change of basis | Chapter 13, Essence of linear algebra

Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra

Abstract vector spaces | Chapter 16, Essence of linear algebra

Machine Learning

106 See playlist ↗

A Gentle Introduction to Machine Learning

Machine Learning Fundamentals: Cross Validation

Machine Learning Fundamentals: The Confusion Matrix

Machine Learning Fundamentals: Sensitivity and Specificity

The Sensitivity, Specificity, Precision, Recall Sing-a-Long!!!

Machine Learning Fundamentals: Bias and Variance

Entropy (for data science) Clearly Explained!!!

Mutual Information, Clearly Explained!!!

The Main Ideas of Fitting a Line to Data (The Main Ideas of Least Squares and Linear Regression.)

Linear Regression, Clearly Explained!!!

Multiple Regression, Clearly Explained!!!

Using Linear Models for t-tests and ANOVA, Clearly Explained!!!

Design Matrices For Linear Models, Clearly Explained!!!

Odds and Log(Odds), Clearly Explained!!!

Odds Ratios and Log(Odds Ratios), Clearly Explained!!!

StatQuest: Logistic Regression

Logistic Regression Details Pt1: Coefficients

Logistic Regression Details Pt 2: Maximum Likelihood

Logistic Regression Details Pt 3: R-squared and p-value

Saturated Models and Deviance

Logistic Regression in R, Clearly Explained!!!!

Deviance Residuals

ROC and AUC, Clearly Explained!

ROC and AUC in R

Regularization Part 1: Ridge (L2) Regression

Regularization Part 2: Lasso (L1) Regression

Ridge vs Lasso Regression, Visualized!!!

Regularization Part 3: Elastic Net Regression

Ridge, Lasso and Elastic-Net Regression in R

StatQuest: Principal Component Analysis (PCA), Step-by-Step

StatQuest: PCA main ideas in only 5 minutes!!!

StatQuest: PCA - Practical Tips

StatQuest: PCA in R

StatQuest: PCA in Python

StatQuest: Linear Discriminant Analysis (LDA) clearly explained.

Bam!!! Clearly Explained!!!

StatQuest: MDS and PCoA

StatQuest: MDS and PCoA in R

StatQuest: t-SNE, Clearly Explained

StatQuest: Hierarchical Clustering

StatQuest: K-means clustering

Clustering with DBSCAN, Clearly Explained!!!

StatQuest: K-nearest neighbors, Clearly Explained

Naive Bayes, Clearly Explained!!!

Gaussian Naive Bayes, Clearly Explained!!!

Decision and Classification Trees, Clearly Explained!!!

StatQuest: Decision Trees, Part 2 - Feature Selection and Missing Data

Regression Trees, Clearly Explained!!!

How to Prune Regression Trees, Clearly Explained!!!

One-Hot, Label, Target and K-Fold Target Encoding, Clearly Explained!!!

Classification Trees in Python from Start to Finish

StatQuest: Random Forests Part 1 - Building, Using and Evaluating

StatQuest: Random Forests Part 2: Missing data and clustering

StatQuest: Random Forests in R

The Chain Rule, Clearly Explained!!!

Gradient Descent, Step-by-Step

Stochastic Gradient Descent, Clearly Explained!!!

AdaBoost, Clearly Explained

Gradient Boost Part 1 (of 4): Regression Main Ideas

Gradient Boost Part 2 (of 4): Regression Details

Gradient Boost Part 3 (of 4): Classification

Gradient Boost Part 4 (of 4): Classification Details

Troll 2, Clearly Explained!!!

XGBoost Part 1 (of 4): Regression

XGBoost Part 2 (of 4): Classification

XGBoost Part 3 (of 4): Mathematical Details

XGBoost Part 4 (of 4): Crazy Cool Optimizations

XGBoost in Python from Start to Finish

CatBoost Part 1: Ordered Target Encoding

CatBoost Part 2: Building and Using Trees

Cosine Similarity, Clearly Explained!!!

Support Vector Machines Part 1 (of 3): Main Ideas!!!

Support Vector Machines Part 2: The Polynomial Kernel (Part 2 of 3)

Support Vector Machines Part 3: The Radial (RBF) Kernel (Part 3 of 3)

Support Vector Machines in Python from Start to Finish.

The Essential Main Ideas of Neural Networks

Neural Networks Pt. 2: Backpropagation Main Ideas

Backpropagation Details Pt. 1: Optimizing 3 parameters simultaneously.

Backpropagation Details Pt. 2: Going bonkers with The Chain Rule

Neural Networks Pt. 3: ReLU In Action!!!

Neural Networks Pt. 4: Multiple Inputs and Outputs

Neural Networks Part 5: ArgMax and SoftMax

The SoftMax Derivative, Step-by-Step!!!

Neural Networks Part 6: Cross Entropy

Neural Networks Part 7: Cross Entropy Derivatives and Backpropagation

Neural Networks Part 8: Image Classification with Convolutional Neural Networks (CNNs)

Recurrent Neural Networks (RNNs), Clearly Explained!!!

Long Short-Term Memory (LSTM), Clearly Explained

Word Embedding and Word2Vec, Clearly Explained!!!

Sequence-to-Sequence (seq2seq) Encoder-Decoder Neural Networks, Clearly Explained!!!

Attention for Neural Networks, Clearly Explained!!!

Transformer Neural Networks, ChatGPT's foundation, Clearly Explained!!!

Decoder-Only Transformers, ChatGPTs specific Transformer, Clearly Explained!!!

Encoder-Only Transformers (like BERT) for RAG, Clearly Explained!!!

Tensors for Neural Networks, Clearly Explained!!!

Essential Matrix Algebra for Neural Networks, Clearly Explained!!!

The matrix math behind transformer neural networks, one step at a time!!!

The StatQuest Introduction to PyTorch

Introduction to Coding Neural Networks with PyTorch and Lightning

Long Short-Term Memory with PyTorch + Lightning

Word Embedding in PyTorch + Lightning

Coding a ChatGPT Like Transformer From Scratch in PyTorch

Reinforcement Learning: Essential Concepts

Reinforcement Learning with Neural Networks: Essential Concepts

Reinforcement Learning with Neural Networks: Mathematical Details

Reinforcement Learning with Human Feedback (RLHF), Clearly Explained!!!

Deep Learning

9 See playlist ↗

But what is a neural network? | Deep learning chapter 1

Gradient descent, how neural networks learn | Deep Learning Chapter 2

Backpropagation, intuitively | Deep Learning Chapter 3

Backpropagation calculus | Deep Learning Chapter 4

Large Language Models explained briefly

Transformers, the tech behind LLMs | Deep Learning Chapter 5

Attention in transformers, step-by-step | Deep Learning Chapter 6

How might LLMs store facts | Deep Learning Chapter 7

But how do AI images and videos actually work? | Guest video by Welch Labs

LLM & GenAI

10 See playlist ↗

The spelled-out intro to neural networks and backpropagation: building micrograd

The spelled-out intro to language modeling: building makemore

Building makemore Part 2: MLP

Building makemore Part 3: Activations & Gradients, BatchNorm

Building makemore Part 4: Becoming a Backprop Ninja

Building makemore Part 5: Building a WaveNet

Let's build GPT: from scratch, in code, spelled out.

State of GPT | BRK216HFS

Let's build the GPT Tokenizer

Let's reproduce GPT-2 (124M)

Cloud & MLOps

12 See playlist ↗

The essence of calculus

The paradox of the derivative | Chapter 2, Essence of calculus

Derivative formulas through geometry | Chapter 3, Essence of calculus

Visualizing the chain rule and product rule | Chapter 4, Essence of calculus

What's so special about Euler's number e? | Chapter 5, Essence of calculus

Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus

Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

What does area have to do with slope? | Chapter 9, Essence of calculus

Higher order derivatives | Chapter 10, Essence of calculus

Taylor series | Chapter 11, Essence of calculus

The other way to visualize derivatives | Chapter 12, Essence of calculus

Tools & practice

62 See playlist ↗

StatQuest: Histograms, Clearly Explained

The Main Ideas behind Probability Distributions

The Normal Distribution, Clearly Explained!!!

The mean, the median, and the mode.

The Exponential Distribution

Population and Estimated Parameters, Clearly Explained!!!

Calculating the Mean, Variance and Standard Deviation, Clearly Explained!!!

What is a (mathematical) model?

Hypothesis Testing and The Null Hypothesis, Clearly Explained!!!

Alternative Hypotheses: Main Ideas!!!

p-values: What they are and how to interpret them

Fisher's Exact Test and the Hypergeometric Distribution

How to calculate p-values

p-hacking: What it is and how to avoid it!

False Discovery Rates, FDR, clearly explained

Statistical Power, Clearly Explained!!!

Power Analysis, Clearly Explained!!!

Covariance, Clearly Explained!!!

Pearson's Correlation, Clearly Explained!!!

Conditional Probabilities, Clearly Explained!!!

Bayes' Theorem, Clearly Explained!!!!

Expected Values, Main Ideas!!!

Expected Values for Continuous Variables!!!

The Binomial Distribution and Test, Clearly Explained!!!

The Central Limit Theorem, Clearly Explained!!!

The Difference Between Technical and Biological Replicates

Sample Size and Effective Sample Size, Clearly Explained!!!

Standard Deviation vs Standard Error, Clearly Explained!!!

The standard error, Clearly Explained!!!

Bootstrapping Main Ideas!!!

Using Bootstrapping to Calculate p-values!!!

Bar Charts Are Better than Pie Charts

Boxplots are Awesome!!!

Logs (logarithms), Clearly Explained!!!

Confidence Intervals, Clearly Explained!!!

R-squared, Clearly Explained!!!

The Essence of Linear Regression!!!

The Main Ideas of Fitting a Line to Data (The Main Ideas of Least Squares and Linear Regression.)

Lowess and Loess, Clearly Explained!!!

Linear Regression, Clearly Explained!!!

Linear Regression in R, Step-by-Step

Multiple Regression, Clearly Explained!!!

Multiple Regression in R, Step-by-Step!!!

Using Linear Models for t-tests and ANOVA, Clearly Explained!!!

Design Matrices For Linear Models, Clearly Explained!!!

Sampling from a Distribution, Clearly Explained!!!

Bam!!! Clearly Explained!!!

StatQuickie: Thresholds for Significance

StatQuickie: Which t test to use

StatQuest: One or Two Tailed P-Values

Quantiles and Percentiles, Clearly Explained!!!

Quantile-Quantile Plots (QQ plots), Clearly Explained!!!

Quantile Normalization, Clearly Explained!!!

In Statistics, Probability is not Likelihood.

Maximum Likelihood, clearly explained!!!

Maximum Likelihood for the Exponential Distribution, Clearly Explained!!!

Maximum Likelihood for the Binomial Distribution, Clearly Explained!!!

Maximum Likelihood For the Normal Distribution, step-by-step!!!

Odds and Log(Odds), Clearly Explained!!!

Odds Ratios and Log(Odds Ratios), Clearly Explained!!!

Frank Starmer Clearly Explained (How my pop influenced StatQuest!!!)

Why Dividing By N Underestimates the Variance

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Auteur(s)

R

REHOUMA Haythem

Haythem Rehouma est un ingénieur et architecte IA et cloud, formateur et enseignant technique, avec un profil orienté IA médicale, AWS, MLOps, LLM/RAG et vision par ordinateur.