Search Results for author: Alan Kuhnle

Found 8 papers, 2 papers with code

Unveiling the Limits of Learned Local Search Heuristics: Are You the Mightiest of the Meek?

no code implementations30 Oct 2023 Ankur Nath, Alan Kuhnle

In recent years, combining neural networks with local search heuristics has become popular in the field of combinatorial optimization.

Attribute Combinatorial Optimization

RELS-DQN: A Robust and Efficient Local Search Framework for Combinatorial Optimization

no code implementations11 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.

Combinatorial Optimization Marketing +1

Learning Strategic Value and Cooperation in Multi-Player Stochastic Games through Side Payments

no code implementations9 Mar 2023 Alan Kuhnle, Jeffrey Richley, Darleen Perez-Lavin

For general-sum, n-player, strategic games with transferable utility, the Harsanyi-Shapley value provides a computable method to both 1) quantify the strategic value of a player; and 2) make cooperation rational through side payments.

Q-Learning

Scalable Distributed Algorithms for Size-Constrained Submodular Maximization in the MapReduce and Adaptive Complexity Models

no code implementations20 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.

Best of Both Worlds: Practical and Theoretically Optimal Submodular Maximization in Parallel

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 $1-1/e$.

Simultaenous Sieves: A Deterministic Streaming Algorithm for Non-Monotone Submodular Maximization

no code implementations27 Oct 2020 Alan Kuhnle

In general, our algorithm achieves ratio $\alpha / (1 + \alpha) - \varepsilon$, for any $\varepsilon > 0$, where $\alpha$ is the ratio of an offline (deterministic) algorithm for SMCC used for post-processing.

Quick Streaming Algorithms for Maximization of Monotone Submodular Functions in Linear Time

no code implementations10 Sep 2020 Alan Kuhnle

In addition, we propose a deterministic, multi-pass streaming algorithm with a constant number of passes that achieves nearly the optimal ratio with linear query and time complexities.

Practical and Parallelizable Algorithms for Non-Monotone Submodular Maximization with Size Constraint

1 code implementation3 Sep 2020 Yixin Chen, Alan Kuhnle

In this version, we propose a fixed and improved subroutine to add a set with high average marginal gain, ThreshSeq, which returns a solution in $O( \log(n) )$ adaptive rounds with high probability.

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