Results 41 to 50 of about 667,528 (289)

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, Janati, Hicham, Courty, Nicolas, Flamary, Rémi, Redko, Ievgen, Demetci, Pinar, Singh, Ritambhara   +6 more
openaire   +2 more sources

Optimal Transportation Flows

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.
openaire   +3 more sources

The directional optimal transport

The Annals of Applied Probability, 2022
Forthcoming in 'Annals of Applied Probability'
Nutz, Marcel, Wang, Ruodu
openaire   +2 more sources

Rectifiability of Optimal Transportation Plans

, 2010
The purpose of this note is to show that the solution to the Kantorovich optimal transportation problem is supported on a Lipschitz manifold, provided the cost is $C^{2}$ with non-singular mixed second derivative.
Adler, Agueh, Ahmad, Alberti, Ambrosio, Ambrosio, Ambrosio, Beněs, Brendan Pass, Brenier, Caffarelli, Caffarelli, Caffarelli, Cordero-Erausquin, Cordero-Erausquin, Delanöe, Delanöe, Douglas, Gangbo, Hestir, Kim, Levin, Lindenstrauss, Liu, Loeper, Ma, Mc Afee, Mc Cann, Mc Cann, Mc Cann, Micah Warren, Minty, Mirrlees, Robert J. McCann, Smith, Spence, Trudinger, Urbas, Wang   +38 more
core   +2 more sources

Distorted Optimal Transport

Mathematics of Operations Research
Classic optimal transport theory is formulated through minimizing the expected transport cost between two given distributions. We propose the framework of distorted optimal transport by minimizing a distorted expected cost, which is the cost under a nonlinear expectation.
Haiyan Liu, Bin Wang, Ruodu Wang, Sheng Chao Zhuang   +3 more
openaire   +2 more sources

3/4-Discrete Optimal Transport [PDF]

SIAM Journal on Scientific Computing, 2020
This paper deals with the 3/4-discrete 2-Wasserstein optimal transport between two measures, where one is supported by a set of segment and the other one is supported by a set of Dirac masses. We select the most suitable optimization procedure that computes the optimal transport and provide numerical examples of approximation of cloud data by segments.
Léo Lebrat, Frédéric de Gournay, Jonas Kahn   +2 more
openaire   +3 more sources

IMPLEMENTASI MODEL TRANSPORTASI DISTRIBUSI PRODUK VAKSIN HEPATITIS B MENGGUNAKAN METODE LEAST COST DAN MODIFIED DISTRIBUTION

Jurnal Lebesgue, 2021
The transportation method is a method related to optimization model used to minimize the cost of transportation distribution. Distribution of products to various regions requires transportation costs are not small, it requires good planning in order for ...
Resa Lestari, Thyar Romadhon, Muchammad Fauzi   +2 more
doaj   +1 more source

Optimal transportation under controlled stochastic dynamics

, 2013
We consider an extension of the Monge-Kantorovitch optimal transportation problem. The mass is transported along a continuous semimartingale, and the cost of transportation depends on the drift and the diffusion coefficients of the continuous ...
Tan, Xiaolu, Touzi, Nizar
core   +2 more sources

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source

On the convexity theory of generating functions

Advanced Nonlinear Studies
In this paper, we extend our convexity theory for C 2 cost functions in optimal transportation to more general generating functions, which were originally introduced by the second author to extend the framework of optimal transportation to embrace near ...
Loeper Grégoire, Trudinger Neil S.
doaj   +1 more source