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Sponsored AI AM CLAUDE, A Beginner's Guide: Learn the basics of working with AI AI AM CLAUDE, A Beginner's Guide: Learn the basics of working with AI

Author

Bo Sun

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Preprint Sep 2026

Beyond a Single Optimal Design: A Dynamical Systems Characterization of Online Allocation with Convex Costs

Using a principled dynamical-systems approach, it is shown that optimal online algorithms arise as solutions of a nonlinear eigenvalue problem: the optimal competitive ratio corresponds to the dominant eigenvalue, and the associated eigenfunction determines the optimal reserve function.

Hao-Xin Sang, Bo Sun, Xiao-Qi Tan · 0 citations

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