Results 31 to 40 of about 1,375,989 (278)
Mathematical Physics, Analysis and Geometry, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sam Cole +3 more
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On the Relation Between Optimal Transport and Schr\uf6dinger Bridges: A Stochastic Control Viewpoint [PDF]
, 2015 We take a new look at the relation between the optimal transport problem and the Schr\uf6dinger bridge problem from a stochastic control perspective. Our aim is to highlight new connections between the two that are richer and deeper than those previously
Chen, Yongxin +2 more
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Dynamical Optimal Transport on Discrete Surfaces [PDF]
, 2018 We propose a technique for interpolating between probability distributions on discrete surfaces, based on the theory of optimal transport. Unlike previous attempts that use linear programming, our method is based on a dynamical formulation of quadratic ...
Chien, Edward +3 more
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Simultaneous Control of Cost Dynamics and Transport in Network Systems
IEEE AccessTransportation networks, including infrastructures such as roads and power transmission, are crucial for supporting modern society. However, these networks are frequently exposed to risks such as natural disasters, e.g., earthquakes and hurricanes.
Koshi Oishi +5 more
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IEEE Access, 2023 In traditional machine learning, the training and testing data are assumed to come from the same independent and identical distributions. This assumption, however, does not hold up in real-world applications, as differences between the training and ...
Obsa Gilo +3 more
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Simultaneous optimal transport
Transactions of the American Mathematical SocietyWe propose a general framework of mass transport between non-negative vector-valued measures, which will be called simultaneous optimal transport (SOT). The new framework is motivated by the need to transport resources of different types simultaneously, i.e., in single trips, from specified origins to destinations; similarly, in economic matching, one ...
Wang, Ruodu, Zhang, Zhenyuan
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Toward Optimal Transport Networks [PDF]
12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2008 Our ultimate goal is to design transportation net- works whose dynamic performance metrics (e.g. pas- senger throughput, passenger delay, and insensitivity to weather disturbances) are optimized. Here the fo- cus is on optimizing static features of the network that are known to directly affect the network dynamics.
Erik P. Vargo +2 more
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Unbalanced CO-optimal Transport
Proceedings of the AAAI Conference on Artificial Intelligence, 2023 Optimal transport (OT) compares probability distributions by computing a meaningful alignment between their samples. CO-optimal transport (COOT) takes this comparison further by inferring an alignment between features as well. While this approach leads to better alignments and generalizes both OT and Gromov-Wasserstein distances, we provide a ...
Tran, Quang Huy +6 more
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Entropic optimal transport is maximum-likelihood deconvolution [PDF]
, 2018 We give a statistical interpretation of entropic optimal transport by showing that performing maximum-likelihood estimation for Gaussian deconvolution corresponds to calculating a projection with respect to the entropic optimal transport distance.
Rigollet, Philippe, Weed, Jonathan
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Zeitschrift für Analysis und ihre Anwendungen, 1995 This paper deals with a modification of L. C. Young’s flow concept in application to transportation flow problems. There will be proved necessary and sufficient conditions for an optimal transport and its dual deposit problem.
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