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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence / EAAI-20

Stochastic Submodular Maximization with Performance-Dependent Item Costs

February 1, 2023

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Authors

Takuro Fukunaga

PRESTO


Takuya Konishi

National Institute of Informatics


Sumio Fujita

Yahoo Japan Corporation


Ken-ichi Kawarabayashi

National Institute of Informatics


DOI:

10.1609/aaai.v33i01.33011485


Abstract:

We formulate a new stochastic submodular maximization problem by introducing the performance-dependent costs of items. In this problem, we consider selecting items for the case where the performance of each item (i.e., how much an item contributes to the objective function) is decided randomly, and the cost of an item depends on its performance. The goal of the problem is to maximize the objective function subject to a budget constraint on the costs of the selected items. We present an adaptive algorithm for this problem with a theoretical guaran-√ tee that its expected objective value is at least (1−1/ 4e)/2 times the maximum value attained by any adaptive algorithms. We verify the performance of the algorithm through numerical experiments.

Topics: AAAI

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Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi Stochastic Submodular Maximization with Performance-Dependent Item Costs Proceedings of the AAAI Conference on Artificial Intelligence (2019) 1485-1494.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi Stochastic Submodular Maximization with Performance-Dependent Item Costs AAAI 2019, 1485-1494.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi (2019). Stochastic Submodular Maximization with Performance-Dependent Item Costs. Proceedings of the AAAI Conference on Artificial Intelligence, 1485-1494.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi. Stochastic Submodular Maximization with Performance-Dependent Item Costs. Proceedings of the AAAI Conference on Artificial Intelligence 2019 p.1485-1494.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi. 2019. Stochastic Submodular Maximization with Performance-Dependent Item Costs. "Proceedings of the AAAI Conference on Artificial Intelligence". 1485-1494.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi. (2019) "Stochastic Submodular Maximization with Performance-Dependent Item Costs", Proceedings of the AAAI Conference on Artificial Intelligence, p.1485-1494

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi, "Stochastic Submodular Maximization with Performance-Dependent Item Costs", AAAI, p.1485-1494, 2019.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi. "Stochastic Submodular Maximization with Performance-Dependent Item Costs". Proceedings of the AAAI Conference on Artificial Intelligence, 2019, p.1485-1494.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi. "Stochastic Submodular Maximization with Performance-Dependent Item Costs". Proceedings of the AAAI Conference on Artificial Intelligence, (2019): 1485-1494.

Takuro Fukunaga||Takuya Konishi||Sumio Fujita||Ken-ichi Kawarabayashi. Stochastic Submodular Maximization with Performance-Dependent Item Costs. AAAI[Internet]. 2019[cited 2023]; 1485-1494.


ISSN: 2374-3468


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