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yubocai-poly/README.md

👋 Hey, I'm Yubo Cai

I'm a PhD student in Computational Science & System Engineering at MIT LIDS, where I work on bringing optimization theory into combinatorial systems, with applications in multi-agent systems and beyond. Before MIT, I studied at École Polytechnique and the University of Oxford.

I'm fascinated by the interplay between continuous optimization and discrete structures — finding elegant ways to make complex systems work smarter together.

🔬 Research Interests

Optimization Theory · Compositional Systems · Multi-Agent Systems · Numerical Methods · Scientific Computing

🛠️ Tech Stack

Python C++ Julia MATLAB

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  1. DQbee DQbee Public

    (TACAS 24) Python Package for disspaitve quadratization, from Paper "Dissipative quadratizations of polynomial ODE systems"

    Jupyter Notebook 3

  2. ALMTON ALMTON Public

    Source code for ALMTON (Adaptive Levenberg-Marquardt Third-Order Newton Method) — a globally convergent third-order Newton method via unified SDP subproblems

    Python 2