Foundations
Stylized Facts
Return distribution vs normal, Q-Q plot analysis
FoundationsFat Tails & Volatility Clustering
GARCH volatility visualization
FoundationsGenerative Model Taxonomy
Model family tree: GAN, VAE, Diffusion, Flows
FoundationsGenerative Adversarial Networks
GAN Architecture
Generator-Discriminator flow diagram
GANsGAN Training Dynamics
Loss curves and gradient norms
GANsMode Collapse
Visualization of GAN failure mode
GANsWGAN with Gradient Penalty
Wasserstein distance over training
GANsTimeGAN Architecture
RNN + adversarial components
GANsConditional GANs
Regime-specific generation
GANsVariational Autoencoders
VAE Architecture
Encoder-Decoder-Latent space
VAEsELBO Decomposition
Reconstruction vs KL divergence trade-off
VAEsLatent Space Visualization
2D scatter with market regime clusters
VAEsDiffusion Models
Forward Diffusion
Noising sequence visualization
DiffusionReverse Diffusion
Denoising score matching
DiffusionSDE Formulation
Forward/reverse SDE paths
DiffusionGBM-Diffusion for Finance
Standard vs GBM-diffusion comparison
DiffusionNormalizing Flows
Invertible transformation sequence
DiffusionPrivate Credit Applications
Loan-Level Simulation
Default rate and spread dynamics
Private CreditFund J-Curve & NAV
J-curve pattern and NAV evolution
Private CreditCorrelation Structure
Normal vs crisis regime heatmaps
Private CreditSynthetic vs Real Comparison
Distribution matching analysis
Private CreditEvaluation & Applications
Evaluation Metrics
FID, MMD, ACF comparison
EvaluationModel Comparison
CWGAN vs TimeGAN vs Diffusion
EvaluationVaR & Stress Testing
VaR backtesting and scenarios
Applications