no code implementations • 11 Apr 2023 • Yuanhang Shao, Tonmoy Dey, Nikola Vuckovic, Luke Van Popering, Alan Kuhnle
Combinatorial optimization (CO) aims to efficiently find the best solution to NP-hard problems ranging from statistical physics to social media marketing.
no code implementations • 20 Jun 2022 • Tonmoy Dey, Yixin Chen, Alan Kuhnle
Distributed maximization of a submodular function in the MapReduce (MR) model has received much attention, culminating in two frameworks that allow a centralized algorithm to be run in the MR setting without loss of approximation, as long as the centralized algorithm satisfies a certain consistency property - which had previously only been known to be satisfied by the standard greedy and continous greedy algorithms.
1 code implementation • NeurIPS 2021 • Yixin Chen, Tonmoy Dey, Alan Kuhnle
For the problem of maximizing a monotone, submodular function with respect to a cardinality constraint $k$ on a ground set of size $n$, we provide an algorithm that achieves the state-of-the-art in both its empirical performance and its theoretical properties, in terms of adaptive complexity, query complexity, and approximation ratio; that is, it obtains, with high probability, query complexity of $O(n)$ in expectation, adaptivity of $O(\log(n))$, and approximation ratio of nearly $1-1/e$.