0. Prerequisites & Foundation
Linear Algebra
- Matrix operations, eigenvalues/eigenvectors
- Vector spaces, transformations
- Singular Value Decomposition (SVD)
Calculus & Optimization
- Multivariable calculus, gradients
- Chain rule, backpropagation mathematics
- Gradient descent variants (SGD, Adam, AdamW)
- Learning rate scheduling
Probability & Statistics
- Probability distributions (Gaussian, Bernoulli)
- Bayesian inference
- Maximum Likelihood Estimation (MLE)
- KL divergence, cross-entropy
Information Theory
Neural Network Basics
- Perceptrons, activation functions
- Feedforward networks (MLP)
- Backpropagation algorithm
- Loss functions (MSE, Cross-Entropy, L1/L2)
Convolutional Neural Networks (CNNs)
- Convolution operations, pooling
- Receptive fields
- Batch normalization, layer normalization
- ResNet, DenseNet architectures
- U-Net architecture (critical for diffusion)
Recurrent Neural Networks (RNNs)
- LSTM, GRU architectures
- Sequence modeling
- Attention mechanisms
Transformers
- Self-attention mechanism
- Multi-head attention
- Positional encoding (sinusoidal, learned)
- Layer normalization
- Vision Transformers (ViT)
- Encoder-decoder architecture
- BERT, GPT architectures
Image Processing
- Color spaces (RGB, HSV, LAB)
- Image filtering, edge detection
- Image augmentation techniques
Feature Extraction
- SIFT, SURF, ORB
- CNN feature maps
- Semantic segmentation
3D Vision Basics
- Camera geometry, intrinsic/extrinsic parameters
- Structure from Motion (SfM)
- Multi-view geometry
- Point clouds, meshes, voxels
Python Ecosystem
- NumPy, SciPy for numerical computing
- OpenCV for image processing
- Matplotlib, Plotly for visualization
Deep Learning Frameworks
- PyTorch (recommended for research)
- TensorFlow/Keras
- JAX for high-performance computing
GPU Computing
- CUDA basics
- Memory management
- Mixed precision training (FP16, BF16)
1. Text-to-Image Generation
Foundation Models Overview
Text-to-image generation has evolved through three major paradigms: GANs, VAEs, and Diffusion Models.
1.1 Foundation Models
Generative Adversarial Networks (GANs)
- Core Concepts: Generator-Discriminator architecture, Adversarial loss
- Key Architectures: DCGAN, StyleGAN, Progressive GAN, BigGAN
- Text-to-Image GANs: StackGAN, AttnGAN, ControlGAN, XMC-GAN
- Limitations: Training instability, Mode collapse, Limited diversity
Variational Autoencoders (VAEs)
- Core Concepts: Encoder-decoder architecture, Latent space representation
- Key Concepts: Reparameterization trick, Evidence Lower Bound (ELBO)
- Regularization: KL divergence regularization
Diffusion Models (State-of-the-Art)
- Core Principles: Forward/reverse diffusion processes
- Mathematical Framework: DDPM, Score-based models, SDEs
- Key Architectures: U-Net Based Diffusion, DDPM, DDIM, LDM
- Diffusion Transformers (DiT): Vision Transformer backbone
1.2 Text Encoding for Image Generation
1.2.1 Text Encoders
- CLIP (Contrastive Language-Image Pre-training): Vision-language alignment, Used in Stable Diffusion, DALL-E 2
- T5 (Text-to-Text Transfer Transformer): Encoder-decoder architecture, Better semantic understanding
- BERT-based Encoders: Bidirectional context, Used in early models
1.2.2 Cross-Attention Mechanisms
- Text-to-image cross-attention
- Key-value-query formulation
- Multi-scale attention
- Spatial attention maps
1.3 Conditioning Techniques
- Classifier-Free Guidance (CFG): Conditional vs unconditional training
- Classifier Guidance: External classifier gradients
- Cross-Attention Conditioning: Text embeddings as keys/values
- Adaptive Instance Normalization (AdaIN): Style transfer concepts
1.4 Advanced Techniques
ControlNet
Spatial conditioning (edges, depth, pose), Trainable copy of U-Net blocks
IP-Adapter
Image prompt adapter, Cross-attention image conditioning
LoRA (Low-Rank Adaptation)
Efficient fine-tuning, Low-rank weight matrices, Reduced training costs
Textual Inversion
Custom concept learning, Embedding optimization, Few-shot personalization
DreamBooth
Subject-driven generation, Fine-tuning with regularization, Identity preservation
1.5 State-of-the-Art Models (2024-2025)
FLUX.1 (Black Forest Labs)
Cutting-edge quality, 12B parameter model, Flow-matching architecture
Stable Diffusion 3 & SD3.5
Diffusion Transformer (DiT) architecture, Improved text rendering
DALL-E 3 (OpenAI)
Enhanced prompt following, GPT-4 caption rewriting, Safety improvements
Imagen 3 (Google)
Photorealistic outputs, Text rendering capabilities, Large-scale training
HunyuanImage (Tencent)
Multimodal LLM backbone, Long prompt support (1000+ words), Bilingual capabilities
Qwen-Image (Alibaba)
Excellent text rendering, Multilingual support, Unified generation/editing
2. Text-to-Video Generation
2.1 Video Generation Challenges
Temporal Consistency
- Frame-to-frame coherence
- Motion smoothness
- Object persistence
Computational Complexity
- High memory requirements
- Long training times
- Inference costs
Motion Understanding
- Physics simulation
- Natural movement
2.2 Core Architectures
2.2.1 Video Diffusion Models
- 3D U-Net Architecture: Spatial convolutions (2D), Temporal convolutions (1D)
- Key Concepts: Per-frame noise addition, Temporal attention layers
- Models: Imagen Video (Google), Make-A-Video (Meta), Video Diffusion Models (VDM)
2.2.2 Diffusion Transformers for Video
- Architecture Components: 3D patch embedding, Spatio-temporal attention
- State-of-the-Art Models: Sora (OpenAI), HunyuanVideo (Tencent), Veo 3 (Google), Gen-3/4 (Runway)
- Sora Features: Long-duration videos (60+ seconds), High resolution (1080p), Physics understanding
2.2.3 Autoregressive Video Models
- Frame-by-Frame Generation: Conditional on previous frames, Recurrent architectures
- Models: VideoGPT, NUWA, Phenaki
2.2.4 Latent Video Diffusion
- 3D VAE Compression: Spatial compression (16x16), Temporal compression (4x)
- Benefits: Reduced memory, Faster training, Scalability
2.3 Temporal Modeling Techniques
- Temporal Attention: Self-attention across frames, Causal masking
- Motion Representations: Optical flow, Motion vectors, Velocity fields
- Frame Interpolation: In-betweening, Temporal super-resolution
2.4 Video-Specific Training Strategies
- Data Augmentation: Temporal cropping, Frame rate variation
- Multi-Stage Training: Image pre-training, Video fine-tuning
- Token Segmentation: Overlapping segments, Temporal coherence maintenance
2.5 Advanced Features (2025)
Audio-Video Synchronization
Joint audio-visual generation, Lip-sync, Sound effect generation
Camera Control
Camera motion specification, Focal length control, Cinematic effects
Multi-Shot Generation
Scene transitions, Shot composition, Narrative coherence
Physics Simulation
Realistic motion, Object interactions, Gravity, momentum
3. Text-to-3D Generation
3.1 3D Representations
Explicit Representations
- Meshes (vertices, faces)
- Point clouds
- Voxels
- Multi-view images
Implicit Representations
- Neural Radiance Fields (NeRF)
- Signed Distance Functions (SDF)
- Occupancy fields
Hybrid Representations
- 3D Gaussian Splatting
- Neural surface representations
3.2 Neural Radiance Fields (NeRF)
3.2.1 Core NeRF Concepts
- Architecture: MLP, 5D input: (x, y, z, θ, φ), Output: (RGB, density)
- Volume Rendering: Ray marching, Alpha compositing, Differentiable rendering
- Training Process: Multi-view supervision, Photometric loss
3.2.2 NeRF Variants
Instant-NGP (NVIDIA)
Hash encoding, Multi-resolution grid, 1000x faster training
Mip-NeRF
Anti-aliasing, Multi-scale representation, Cone tracing
NeRF-W (NeRF in the Wild)
Appearance embedding, Transient objects, Lighting variations
TensorRF
Tensor decomposition, Faster rendering, Lower memory
3.2.3 NeRF for Text-to-3D
DreamFusion (Google)
Score Distillation Sampling (SDS), 2D diffusion model as prior
Magic3D
Two-stage generation, Coarse NeRF + fine mesh, Faster than DreamFusion
ProlificDreamer
Variational Score Distillation (VSD), Higher quality, Better diversity
3.3 3D Gaussian Splatting
- Core Concepts: 3D Gaussians as primitives, Explicit representation
- Advantages over NeRF: Faster rendering (real-time), Better quality, Explicit editing
- Text-to-3D with Gaussians: DreamGaussian, GaussianDreamer, LucidDreamer
3.4 Direct 3D Generation
3.4.1 Multi-View Diffusion
- Process: Generate multiple views, 3D reconstruction, Consistency enforcement
- Models: MVDream, SyncDreamer, Zero123 (view-conditioned)
3.4.2 Native 3D Diffusion
- Voxel Diffusion: 3D U-Net, Memory intensive
- Point Cloud Diffusion: Point-E (OpenAI), Shap-E, Efficient but lower quality
- Triplane Representations: 3D features on 2D planes, EG3D architecture, Memory efficient
3.5 Text-to-3D Pipeline
Stage 1: Multi-View Generation
Text → Multiple 2D images, Consistent viewpoints, Diffusion-based
Stage 2: 3D Reconstruction
NeRF optimization, Gaussian Splatting, Mesh extraction
Stage 3: Refinement
Texture enhancement, Geometry optimization, PBR materials
3.6 State-of-the-Art Models (2024-2025)
Meta 3D Gen
Fast pipeline (<1 minute), High-quality meshes, PBR texture support
Rodin Gen-2 (Hyper3D)
10B parameters, BANG architecture, Production-ready assets
Meshy AI
Text-to-3D, Image-to-3D, AI texture generation, Multi-format export
Tripo AI (TripoSR)
Fast reconstruction, Unity/Unreal integration, API-friendly
3.7 Advanced 3D Techniques
Texture Generation
PBR materials (albedo, roughness, metallic, normal), Texture painting
Rigging & Animation
Automatic rigging, Skeleton generation, Motion retargeting
Mesh Optimization
Polygon reduction, Topology optimization, LOD generation
4. Core Algorithms & Techniques
4.1 Diffusion Model Algorithms
Forward Process (Noising)
q(x_t|x_t-1) = N(x_t; sqrt(1-β_t)*x_t-1, β_t*I)
Reverse Process (Denoising)
p_θ(x_t-1|x_t) = N(x_t-1; μ_θ(x_t, t), Σ_θ(x_t, t))
Training Objective (Noise Prediction)
L = E[||ε - ε_θ(x_t, t)||^2]
Sampling Methods
- DDPM: Full Markov chain
- DDIM: Deterministic, faster
- DPM-Solver: ODE solver, efficient
- Euler, Heun methods
4.2 Attention Mechanisms
Self-Attention
Attention(Q, K, V) = softmax(QKT / √dk) · V
Cross-Attention
Q = Linear(image_features)
K, V = Linear(text_embeddings)
Multi-Head Attention
- Parallel attention heads
- Concatenation and projection
- Different representation subspaces
4.3 Loss Functions
Reconstruction Losses
- MSE (L2 loss)
- L1 loss
- Perceptual loss (VGG features)
Adversarial Losses
- Binary cross-entropy
- Wasserstein loss
- Hinge loss
Regularization
- KL divergence (VAE)
- Total variation
- Sparsity constraints
Semantic Losses
- CLIP similarity
- LPIPS (Learned Perceptual)
4.4 Optimization Techniques
Optimizers
- Adam, AdamW
- Lion optimizer
- Muon optimizer (for video)
Learning Rate Schedules
- Warmup
- Cosine annealing
- Step decay
- Exponential decay
Gradient Techniques
- Gradient clipping
- Gradient accumulation
- Mixed precision training (AMP)
4.5 Sampling & Inference
Guidance Techniques
- Classifier guidance
- Classifier-free guidance (CFG)
- Negative prompts
Sampling Schedulers
- Linear noise schedule
- Cosine schedule
- Karras schedule
Quality vs Speed Tradeoffs
- Step count (20-50 steps typical)
- Resolution
- Batch size
5. Cutting-Edge Developments (2024-2025)
5.1 Architecture Innovations
Diffusion Transformers (DiT)
Replacing U-Net with transformers, Better scalability, Used in Sora, SD3, FLUX
Flow Matching
Alternative to diffusion, Continuous normalizing flows, Used in SD3, FLUX.1
Rectified Flow
Straight-line trajectories, Faster sampling, Better quality
Sparse Diffusion Transformers
Mixture-of-Experts (MoE), Efficient computation, HiDream-1
Consistency Models
Single-step generation, Distillation from diffusion, Real-time generation
5.2 Efficiency Improvements
Latent Compression
Higher compression ratios (16x, 32x), Improved VAEs, Quality preservation
Knowledge Distillation
Student-teacher training, Fewer sampling steps, Maintained quality
Quantization
INT8, FP8 inference, Reduced memory, Hardware acceleration
Flash Attention
Memory-efficient attention, Linear complexity, Faster training
5.3 Enhanced Capabilities
Long-Context Understanding
1000+ word prompts, Detailed scene descriptions, Narrative generation
Multi-Modal Conditioning
Text + image, Text + audio, Text + 3D
Editable Representations
Inpainting/outpainting, Object removal/addition, Style transfer
High-Resolution Generation
4K, 8K images, Tiled generation, Multi-scale training
5.4 Novel Applications
4D Generation (3D + Time)
Dynamic 3D scenes, Deformable objects, Physics-aware
Neural Codec Models
Learned compression, Tokenization for generation
World Models
Interactive 3D environments, Physics simulation, Agent navigation
5.5 Safety & Alignment
Watermarking
Invisible markers, Provenance tracking, Copyright protection
Safety Filters
Content moderation, Bias mitigation, Harmful content detection
Alignment Techniques
RLHF for generation, Preference learning, Red-teaming
6. Implementation Roadmap
Phase 1: Foundation (Months 1-3)
Month 1: Deep Learning Basics
- Master PyTorch fundamentals
- Implement basic CNNs
- Train image classifiers
- Understand backpropagation
Month 2: Advanced Architectures
- Implement U-Net from scratch
- Build Vision Transformer
- Study attention mechanisms
- Implement ResNet, DenseNet
Month 3: Generative Models Intro
- Implement VAE
- Build simple GAN
- Understand latent spaces
- Train on simple datasets (MNIST, CIFAR)
Phase 2: Text-to-Image (Months 4-8)
Month 4: Diffusion Fundamentals
- Implement DDPM from scratch
- Understand noise schedules
- Train simple diffusion model
- Study score-based models
Month 5: Latent Diffusion
- Train/fine-tune VAE
- Implement latent diffusion
- Integrate text encoder (CLIP)
- Cross-attention conditioning
Month 6: Stable Diffusion Deep Dive
- Study Stable Diffusion architecture
- Fine-tune on custom data
- Implement ControlNet
- Add LoRA training
Month 7: Advanced Conditioning
- Classifier-free guidance
- Multi-scale generation
- Implement DreamBooth
- Textual inversion
Month 8: Optimization & Scaling
- Mixed precision training
- Multi-GPU training
- Gradient checkpointing
- Inference optimization
Phase 3: Text-to-Video (Months 9-12)
Month 9: Video Understanding
- Study 3D convolutions
- Temporal attention
- Video datasets (WebVid, LAION-400M)
- Frame interpolation
Month 10: Video Diffusion Basics
- Implement 3D U-Net
- Spatio-temporal layers
- Train on short clips
- Handle memory constraints
Month 11: Advanced Video Generation
- Study Sora architecture
- Implement DiT for video
- Multi-stage generation
- Camera control
Month 12: Video Refinement
- Temporal consistency
- Motion smoothness
- Audio integration
- Quality evaluation
Phase 4: Text-to-3D (Months 13-16)
Month 13: 3D Fundamentals
- Study NeRF architecture
- Implement basic NeRF
- Volume rendering
- Camera pose optimization
Month 14: Fast 3D Reconstruction
- Implement Instant-NGP
- 3D Gaussian Splatting
- Real-time rendering
- Mesh extraction
Month 15: Text-to-3D Pipeline
- Score Distillation Sampling
- Multi-view generation
- 3D consistency
- Texture synthesis
Month 16: Production Pipeline
- PBR material generation
- Mesh optimization
- Export formats
- Integration with engines
Phase 5: Advanced Topics (Months 17-20)
Month 17: State-of-the-Art Models
- Study FLUX.1, SD3
- Flow matching
- Rectified flow
- Implementation details
Month 18: Efficiency
- Model compression
- Quantization
- Distillation
- Hardware optimization
Month 19: Research & Innovation
- Read latest papers
- Implement novel techniques
- Experiment with architectures
- Contribute to open source
Month 20: Deployment & Scaling
- Build APIs
- Cloud deployment
- Monitoring & logging
- User interface
7. Tools, Frameworks & Resources
7.1 Core Frameworks
PyTorch Ecosystem
- PyTorch: Core framework
- torchvision: Image transforms
- torchaudio: Audio processing
- PyTorch Lightning: Training framework
- Accelerate: Multi-GPU training
Hugging Face
- Diffusers: Diffusion models library
- Transformers: Text encoders
- Datasets: Dataset loading
- Hub: Model sharing
Specialized Libraries
- CompVis/Stable-Diffusion: Original SD
- AUTOMATIC1111: Stable Diffusion WebUI
- ComfyUI: Node-based generation
- InvokeAI: Professional interface
7.2 3D Tools
NeRF Libraries
- Nerfstudio: NeRF framework
- Instant-NGP: Fast NeRF
- threestudio: Text-to-3D
- MVDream: Multi-view generation
3D Software Integration
- Blender: 3D modeling
- Unity: Game engine
- Unreal Engine: Real-time rendering
- Three.js: Web 3D
7.3 Datasets
Image-Text Pairs
- LAION-5B: 5 billion pairs
- LAION-400M: Filtered subset
- COYO-700M: Alt-text captions
- DataComp: Curated datasets
Images
- ImageNet: Classification
- COCO: Object detection, captions
- OpenImages: Large-scale
- Conceptual Captions: 3M+ pairs
Video Datasets
- WebVid-10M: Text-video pairs
- HD-VILA-100M: High-quality video
- InternVid: 7M videos
- Panda-70M: Diverse video
3D Datasets
- Objaverse: 800K+ 3D models
- ShapeNet: CAD models
- ModelNet: Classification
- ScanNet: RGB-D scans
7.4 Evaluation Metrics
Image Quality
- FID (Fréchet Inception Distance)
- IS (Inception Score)
- CLIP Score: Text-image alignment
- LPIPS: Perceptual similarity
Video Quality
- Temporal consistency metrics
- Optical flow analysis
- User studies
3D Quality
- Chamfer Distance
- Intersection over Union (IoU)
- Mesh quality metrics
7.5 Hardware Requirements
Training
- GPU: NVIDIA A100 (40GB/80GB) recommended
- Alternative: H100, V100, RTX 4090
- Memory: 64GB+ system RAM
- Storage: NVMe SSD (fast data loading)
Inference
- Minimum: RTX 3060 (12GB)
- Recommended: RTX 4080/4090
- Cloud: AWS p3/p4, Google TPU
7.6 Learning Resources
Courses
- Stanford CS231n: Deep Learning for CV
- Fast.ai: Practical Deep Learning
- Hugging Face Diffusion Course
- 3D Vision Course (TUM)
Papers (Must-Read)
- "Attention Is All You Need" (Transformers)
- "Denoising Diffusion Probabilistic Models"
- "High-Resolution Image Synthesis with Latent Diffusion Models" (Stable Diffusion)
- "Scalable Diffusion Models with Transformers"
- "NeRF: Representing Scenes as Neural Radiance Fields"
- "DreamFusion: Text-to-3D using 2D Diffusion"
Communities
- r/StableDiffusion
- Hugging Face Discord
- Papers with Code
- GitHub repositories
Blogs & Tutorials
- Lilian Weng's Blog
- Hugging Face Blog
- Towards Data Science
- Machine Learning Mastery
7.7 Cloud Platforms
Training Platforms
- Google Colab: Free GPU
- Kaggle: Free TPU
- Lambda Labs: GPU rental
- RunPod: Affordable GPUs
Deployment
- Replicate: Model hosting
- Hugging Face Spaces
- AWS SageMaker
- Modal Labs
7.8 Development Tools
Version Control
- Git, GitHub
- DVC: Data version control
- Weights & Biases: Experiment tracking
- TensorBoard: Visualization
Profiling
- PyTorch Profiler
- NVIDIA Nsight
- Memory profilers
8. Best Practices & Tips
8.1 Training Best Practices
Data Quality
- Curate high-quality datasets
- Filter low-resolution images
- Balance dataset distribution
- Use proper augmentation
Hyperparameter Tuning
- Start with known configs
- Use learning rate warmup
- Monitor training curves
- Validate regularly
Memory Management
- Gradient accumulation
- Gradient checkpointing
- Mixed precision (FP16/BF16)
- Batch size optimization
Qualitative Metrics
- Visualization
- Failure case analysis
- Prompt testing
- Edge case evaluation
8.3 Debugging Strategies
Common Issues
- Mode collapse (GANs)
- Training instability
- Memory errors
- Slow convergence
Solutions
- Learning rate adjustment
- Architecture modifications
- Data augmentation
- Regularization
8.4 Ethical Considerations
Bias & Fairness
- Dataset bias awareness
- Diverse representation
- Bias mitigation techniques
Safety
- Content filtering
- Watermarking
- Usage policies
- Red-teaming
Copyright
- Dataset licensing
- Fair use considerations
- Attribution
9. Project Milestones
Beginner Projects
1. Train simple VAE on MNIST
Implement and train a basic Variational Autoencoder on the MNIST dataset.
2. Implement basic GAN
Build a simple Generative Adversarial Network for image generation.
3. Fine-tune Stable Diffusion
Fine-tune a pre-trained Stable Diffusion model on a custom dataset.
4. Build LoRA for custom style
Create a Low-Rank Adaptation for a specific artistic style.
Intermediate Projects
1. Train text-to-image diffusion model
Train a diffusion model from scratch for text-to-image generation.
2. Implement ControlNet conditioning
Add spatial conditioning capabilities using ControlNet.
3. Build video frame interpolation
Create a model for generating intermediate video frames.
4. Create NeRF from images
Generate a 3D Neural Radiance Field from 2D images.
Advanced Projects
1. Full text-to-video pipeline
Build an end-to-end text-to-video generation system.
2. Text-to-3D with custom materials
Create a pipeline for generating 3D models with PBR materials.
3. Multi-modal generation system
Develop a system that can generate across multiple modalities (image, video, 3D).
4. Novel architecture research
Design and implement a novel generative architecture.
Summary Timeline
- Months 1-3: Deep learning foundations, basic CNNs, VAEs, GANs
- Months 4-8: Text-to-image mastery, diffusion models, Stable Diffusion
- Months 9-12: Video generation, temporal modeling, advanced video
- Months 13-16: 3D generation, NeRF, Gaussian Splatting, production pipeline
- Months 17-20: Cutting-edge techniques, optimization, deployment
This roadmap provides a comprehensive path from foundational mathematics through state-of-the-art generative AI. Focus on hands-on implementation at each stage, and adjust the timeline based on your background and learning speed.
10. Additional Resources & References
10.1 Key GitHub Repositories
- CompVis/stable-diffusion
- CompVis/latent-diffusion
- huggingface/diffusers
- AUTOMATIC1111/stable-diffusion-webui
- llyasviel/ControlNet
- threestudio-project/threestudio
- nerfstudio-project/nerfstudio
- graphdeco-inria/gaussian-splatting
10.2 Paper Collections
- Diffusion Models: papers.labml.ai/papers/diffusion
- NeRF Papers: awesome-NeRF (GitHub)
- Video Generation: Papers with Code
- 3D Generation: Recent arXiv submissions
10.3 Industry Benchmarks
- GenEval: Comprehensive evaluation
- T2I-CompBench: Compositional understanding
- TIFA: Text-image faithfulness
- DreamBench: Subject-driven generation