Projects per year
Abstract
The key element of optimal transport is the so called lifting of an exact cost (distance) function, defined on the sample space, to a cost (distance) between probability measures over the sample space. However, in many real life applications the cost is stochastic: e.g., the unpredictable traffic flow affects the cost of transportation between a factory and an outlet. To take this stochasticity into account, we introduce a Bayesian framework for inferring the optimal transport plan distribution induced by the stochastic cost, allowing for a principled way to include prior information and to model the induced stochasticity on the transport plans. Additionally, we tailor an HMC method to sample from the resulting transport plan posterior distribution.
Original language | English |
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Title of host publication | Proceedings of Asian Conference on Machine Learning |
Publisher | JMLR |
Pages | 1601-1616 |
Number of pages | 16 |
Publication status | Published - 2021 |
MoE publication type | A4 Conference publication |
Event | Asian Conference on Machine Learning - Virtual, Online Duration: 17 Nov 2021 → 19 Nov 2021 Conference number: 13 |
Publication series
Name | Proceedings of Machine Learning Research |
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Publisher | PMLR |
Volume | 157 |
ISSN (Electronic) | 2640-3498 |
Conference
Conference | Asian Conference on Machine Learning |
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Abbreviated title | ACML |
City | Virtual, Online |
Period | 17/11/2021 → 19/11/2021 |
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Heinonen Markus AT-palkka: Deep learning with differential equations
Heinonen, M. (Principal investigator)
01/09/2020 → 31/08/2025
Project: Academy of Finland: Other research funding
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-: Bridging the Reality Gap in Autonomous Learning
Kaski, S. (Principal investigator), Filstroff, L. (Project Member), Hämäläinen, A. (Project Member), Khoshvishkaie, A. (Project Member), Kulkarni, T. (Project Member) & Mallasto, A. (Project Member)
01/01/2020 → 31/12/2022
Project: Academy of Finland: Other research funding
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Interactive machine learning from multiple biodata sources
Kaski, S. (Principal investigator), Hämäläinen, A. (Project Member), Gadd, C. (Project Member), Hegde, P. (Project Member), Shen, Z. (Project Member), Siren, J. (Project Member), Trinh, T. (Project Member), Jain, A. (Project Member) & Jälkö, J. (Project Member)
01/01/2019 → 31/08/2021
Project: Academy of Finland: Other research funding