Synthetic Data and Generative AI covers the foundations of machine learning with modern approaches to solving complex problems and the systematic generation and use of synthetic data. Emphasis is on scalability, automation, testing, optimizing, and interpretability (explainable AI). For instance, regression techniques - including logistic and Lasso - are presented as a single method without using advanced linear algebra. Confidence regions and prediction intervals are built using parametric bootstrap without statistical models or probability distributions. Models (including generative models and mixtures) are mostly used to create rich synthetic data to test and benchmark various methods.
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Table of Contents
1. Machine Learning Cloud Regression and Optimization2. A Simple, Robust and Efficient Ensemble Method
3. Gentle Introduction to Linear Algebra Synthetic Time Series
4. Image and Video Generation
5. Synthetic Clusters and Alternative to GMM
6. Shape Classification and Synthetization via Explainable AI
7. Synthetic Data, Interpretable Regression, and Submodels
8. From Interpolation to Fuzzy Regression
9. New Interpolation Methods for Synthetization and Prediction
10. Synthetic Tabular Data: Copulas vs enhanced GANs
11. High Quality Random Numbers for Data Synthetization
12. Some Unusual Random Walks
13. Divergent Optimization Algorithm and Synthetic Functions
14. Synthetic Terrain Generation and AI-generated Art
15. Synthetic Star Cluster Generation with Collision Graphs
16. Perturbed Lattice Point Process: Alternative to GMM
17. Synthetizing Multiplicative Functions in Number Theory
18. Text, Sound Generation and Other Topics
