# Core Scientific Computing
numpy>=1.21.0
scipy>=1.7.0
pandas>=1.3.0
scikit-learn>=0.24.0

# Deep Learning (Optional)
torch>=1.9.0
tensorflow>=2.6.0

# Probabilistic Programming
pymc3>=3.11.0
pomegranate>=0.14.0

# Visualization
matplotlib>=3.4.0
seaborn>=0.11.0
networkx>=2.6.0
plotly>=5.3.0

# Data Processing
pyyaml>=5.4.1
jinja2>=3.0.0
markdown>=3.3.0

# Testing and Development
pytest>=6.2.0
black>=21.5b2
flake8>=3.9.0
mypy>=0.910

# Documentation
sphinx>=4.0.0
sphinx-rtd-theme>=0.5.0

# Utilities
tqdm>=4.62.0
click>=8.0.0
python-dotenv>=0.19.0

# Optimization
optuna>=2.9.0
hyperopt>=0.2.5

# Monitoring and Logging
wandb>=0.12.0
mlflow>=1.19.0

# Additional dependencies
pylint>=2.8.0
imageio>=2.9.0