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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 34

Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm

February 1, 2023

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Abstract:

Collective Flow Diffusion Model (CFDM) is a general framework to find the hidden movements underlying aggregated population data. The key procedure in CFDM analysis is MAP inference of hidden variables. Unfortunately, existing approaches fail to offer exact MAP inferences, only approximate versions, and take a lot of computation time when applied to large scale problems. In this paper, we propose an exact and efficient method for MAP inference in CFDM. Our key idea is formulating the MAP inference problem as a combinatorial optimization problem called Minimum Convex Cost Flow Problem (C-MCFP) with no approximation or continuous relaxation. On the basis of this formulation, we propose an efficient inference method that employs the C-MCFP algorithm as a subroutine. Our experiments on synthetic and real datasets show that the proposed method is effective both in single MAP inference and people flow estimation with EM algorithm.

Published Date: 2020-06-02

Registration: ISSN 2374-3468 (Online) ISSN 2159-5399 (Print) ISBN 978-1-57735-835-0 (10 issue set)

Copyright: Published by AAAI Press, Palo Alto, California USA Copyright © 2020, Association for the Advancement of Artificial Intelligence All Rights Reserved

Authors

Yasunori Akagi

NTT Corporation


Takuya Nishimura

NTT Corporation


Yusuke Tanaka

NTT Corporation


Takeshi Kurashima

NTT Corporation


Hiroyuki Toda

NTT Corporation


DOI:

10.1609/aaai.v34i04.5713


Topics: AAAI

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HOW TO CITE:

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm Proceedings of the AAAI Conference on Artificial Intelligence, 34 (2020) 3163-3170.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm AAAI 2020, 3163-3170.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda (2020). Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm. Proceedings of the AAAI Conference on Artificial Intelligence, 34, 3163-3170.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda. Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm. Proceedings of the AAAI Conference on Artificial Intelligence, 34 2020 p.3163-3170.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda. 2020. Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm. "Proceedings of the AAAI Conference on Artificial Intelligence, 34". 3163-3170.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda. (2020) "Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm", Proceedings of the AAAI Conference on Artificial Intelligence, 34, p.3163-3170

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda, "Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm", AAAI, p.3163-3170, 2020.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda. "Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm". Proceedings of the AAAI Conference on Artificial Intelligence, 34, 2020, p.3163-3170.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda. "Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm". Proceedings of the AAAI Conference on Artificial Intelligence, 34, (2020): 3163-3170.

Yasunori Akagi||Takuya Nishimura||Yusuke Tanaka||Takeshi Kurashima||Hiroyuki Toda. Exact and Efficient Inference for Collective Flow Diffusion Model via Minimum Convex Cost Flow Algorithm. AAAI[Internet]. 2020[cited 2023]; 3163-3170.


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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