numpy>=1.20.0 pandas>=1.3.0 yfinance>=0.1.70 matplotlib>=3.4.0 plotly>=5.5.0 scikit-learn>=1.0.0 streamlit>=1.8.0 statsmodels>=0.13.0 scipy>=1.7.0 tqdm>=4.62.0 pytz>=2021.3 requests>=2.26.0 joblib>=1.1.0 ta>=0.7.0 # Technical analysis indicators numba>=0.54.0 # For performance optimization (optional)