Results 41 to 50 of about 1,392,762 (281)
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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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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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 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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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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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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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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On the optimal design of wall-to-wall heat transport [PDF]
, 2019 We consider the problem of optimizing heat transport through an incompressible fluid layer. Modeling passive scalar transport by advection-diffusion, we maximize the mean rate of total transport by a divergence-free velocity field.
Doering, Charles R., Tobasco, Ian
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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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Sparse Regularized Optimal Transport with Deformed q-Entropy
Entropy, 2022 Optimal transport is a mathematical tool that has been a widely used to measure the distance between two probability distributions. To mitigate the cubic computational complexity of the vanilla formulation of the optimal transport problem, regularized ...
Han Bao, Shinsaku Sakaue
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