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On Wormald's differential equation method

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abstract

This note contains a short and simple proof of Wormald's differential equation method (that yields slightly improved approximation guarantees and error probabilities). This powerful method uses differential equations to approximate the time-evolution/dynamics of random processes and algorithms.

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Online matching on stochastic block model

cs.DS · 2025-06-05 · conditional · novelty 6.0

For online matching on sparse stochastic block models, greedy and balance policies have fluid limits described by an ODE and a differential inclusion, with an ETC bandit variant achieving sublinear regret.

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  • Online matching on stochastic block model cs.DS · 2025-06-05 · conditional · none · ref 43 · internal anchor

    For online matching on sparse stochastic block models, greedy and balance policies have fluid limits described by an ODE and a differential inclusion, with an ETC bandit variant achieving sublinear regret.