Results 31 to 40 of about 6,516 (216)
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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Spherical optimal transportation
Computer-Aided Design, 2019 Abstract Optimal mass transportation (OT) problem aims at finding the most economic way to transform one probability measure to the other, which plays a fundamental role in many fields, such as computer graphics, computer vision, machine learning, geometry processing and medical imaging.
Li Cui +6 more
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A Survey on Optimal Transport for Machine Learning: Theory and Applications
IEEE AccessOptimal Transport (OT) theory has seen increasing attention from the computer science community due to its potency and relevance in modeling and machine learning (ML).
Luiz Manella Pereira, M. Hadi Amini
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Sliced optimal transport sampling [PDF]
ACM Transactions on Graphics, 2020 In this paper, we introduce a numerical technique to generate sample distributions in arbitrary dimension for improved accuracy of Monte Carlo integration. We point out that optimal transport offers theoretical bounds on Monte Carlo integration error, and that the recently-introduced numerical framework of sliced optimal transport (SOT ...
Paulin, Lois +6 more
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Optimal Transport for Domain Adaptation [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2017 Domain adaptation is one of the most challenging tasks of modern data analytics. If the adaptation is done correctly, models built on a specific data representation become more robust when confronted to data depicting the same classes, but described by another observation system.
Courty, Nicolas +3 more
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Cortically Based Optimal Transport
Journal of Mathematical Imaging and Vision, 2022 AbstractWe introduce a model for image morphing in the primary visual cortex V1 to perform completion of missing images in time. We model the output of simple cells through a family of Gabor filters and the propagation of the neural signal accordingly to the functional geometry induced by horizontal connectivity.
Mattia Galeotti +2 more
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Sliced optimal transport on the sphere
Inverse Problems, 2023 Abstract Sliced optimal transport reduces optimal transport on multi-dimensional domains to transport on the line. More precisely, sliced optimal transport is the concatenation of the well-known Radon transform and the cumulative density transform, which analytically yields the solutions of the reduced transport problems.
Michael Quellmalz +2 more
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Seismic imaging and optimal transport [PDF]
Communications in Information and Systems, 2019 36 pages, 12 figures; Accepted by Communications in Information and Systems (CIS)
Björn Engquist, Yunan Yang
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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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Martingale Optimal Transport with Stopping [PDF]
SSRN Electronic Journal, 2017 Final version. To appear in SIAM Journal on Control and Optimization. Keywords: nonlinear Martingale optimal transport, dynamic programming, optimal stopping, stochastic Perron's method, viscosity solutions, state constraints, exit time problem, concave envelope, distribution ...
Erhan Bayraktar +2 more
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