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During recent decades, there has been a substantial development in optimal mass transport theory and methods.
Regularization and Interpolation of Positive Matrices
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Toeplitz Forms and Their Applications
U. Grenander and G. Szegö · 1958
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Diagonal Equivalence to Matrices with Prescribed Row and Column Sums
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High Resolution Frequency Wave Number Spectrum Analysis
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Feedback Control of Dynamic Systems
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Auditory Tests (Revised), Compact Disc, Auditec, St. Louis
Auditec · 1997
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A convexity principle for interacting gases
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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
J. D. Benamou and Y. Brenier · 2000
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A new approach to spectral estimation: a tunable high-resolution spectral estimator
C. L. Byrnes, T. T. Georgiou, and A. Lindquist · 2000
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MR spectroscopy quantitation: a review of frequency domain methods
S. Mierisová and M. Ala-Korpela · 2001
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Detection, classification, and tracking of targets
D. Li, K. D. Wong, Y. H. Hu, and A. M. Sayeed · 2002
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Direction finding in partly calibrated sensor arrays composed of multiple subarrays
M. Pesavento, A. B. Gershman, and K. M. Wong · 2002
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Minimizing Flows for the Monge-Kantorovich Problem
S. Angenent, S. Haker, and A. Tannenbaum · 2003
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A Perceptually Motivated Approach for Speech Enhancement
Y. Hu and P. C. Loizou · 2003
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Optimal Mass Transport for Registration and Warping
S. Haker, L. Zhu, A. Tannenbaum, and S. Angenent · 2004
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Generalizing MUSIC and MVDR for Multiple Noncoherent Arrays
D. W. Rieken and D. R. Fuhrmann · 2004
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Direction-of-arrival estimation in partly calibrated subarray-based sensor arrays
C. M. See and A. B. Gershman · 2004
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Noninvasive estimation of tissue temperature via high-resolution spectral analysis techniques
A. N. Amini, E. Ebbini, and T. T. Georgiou · 2005
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Solution of the general moment problem via a one-parameter imbedding
T. T. Georgiou · 2005
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Spectral Analysis of Signals
P. Stoica and R. Moses · 2005
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Global node selection for localization in a distributed sensor network
L. M. Kaplan · 2006
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On Matrix-Valued Monge-Kantorovich Optimal Mass Transport
L. Ning, T. T. Georgiou, and A. Tannenbaum · 2015
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Multi-marginal optimal transport: theory and applications
B. Pass · 2015
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On the relation between optimal transport and Schrödinger bridges: A stochastic control viewpoint
Y. Chen, T.T. Georgiou, and M. Pavon · 2016
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Tensorlab 3.0, Mar. 2016
N. Vervliet, O. Debals, L. Sorber, M. Van Barel, and L. De Lathauwer · 2016
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Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach
I. Abraham, R. Abraham, M. Bergounioux, and G. Carlier · 2017
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Generalized solutions and hydrostatic approximation of the Euler equations
Y. Brenier · 2008
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Hellinger vs. Kullback-Leibler multivariable spectrum approximation
A. Ferrante, M. Pavon, and F. Ramponi · 2008
Cited alongside, same era.
Optimal transport: old and new
C. Villani · 2008
Cited alongside, same era.
Metrics for power spectra: an axiomatic approach
T. T. Georgiou, J. Karlsson, and M. S. Takyar · 2009
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Fast and robust Earth Mover’s Distances
O. Pele and M. Werman · 2009
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Texture Mapping via Optimal Mass Transport
A. Dominitz and A. Tannenbaum · 2010
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J. Adler, A. Ringh, O. Öktem, and J. Karlsson · 2017
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M. Arjovsky, S. Chintala, and L. Bottou · 2017
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Optimal Transport Over a Linear Dynamical System
Y. Chen, T. T. Georgiou, and M. Pavon · 2017
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Generalized Sinkhorn iterations for regularizing inverse problems using optimal mass transport
J. Karlsson and A. Ringh · 2017
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Optimal Mass Transport: Signal processing and machine-learning applications
S. Kolouri, S. R. Park, M. Thorpe, D. Slepcev, and G. K. Rohde · 2017
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Passive source localization from array covariance matrices via joint sparse representations
J-A. Luo, K. Yu, Z. Wang, and Y-H. Hu · 2017
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State Tracking of Linear Ensembles via Optimal Mass Transport
Y. Chen and J. Karlsson · 2018
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Scaling algorithms for unbalanced optimal transport problems
L. Chizat, G. Peyré, B. Schmitzer, and F. X. Vialard · 2018
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Cell Detection by Functional Inverse Diffusion and Non-negative Group Sparsity—Part II: Proximal Optimization and Performance Evaluation
P. del Aguila Pla and J. Jaldén · 2018
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Tracking and Sensor Fusion in Direction of Arrival Estimation Using Optimal Mass Transport
F. Elvander, I. Haasler, A. Jakobsson, and J. Karlsson · 2018
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Interpolation and Extrapolation of Toeplitz Matrices via Optimal Mass Transport
F. Elvander, A. Jakobsson, and J. Karlsson · 2018
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Wasserstein Dictionary Learning: Optimal Transport-Based Unsupervised Nonlinear Dictionary Learning
M. A. Schmitz, M. Heitz, N. Bonneel, F. Ngolè, D. Coeurjolly, M. Cuturi, G. Peyré, and J-L. Starck · 2018
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Non-Coherent Direction-of-Arrival Estimation Using Partly Calibrated Arrays
W. Suleiman, P. Parvazi, M. Pesavento, and A. M. Zoubir · 2018
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Generalized Sparse Covariance-based Estimation
J. Swärd, S. I. Adalbjörnsson, and A. Jakobsson · 2018
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Non-Coherent Sensor Fusion via Entropy Regularized Optimal Mass Transport
F. Elvander, I. Haasler, A. Jakobsson, and J. Karlsson · 2019
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Computational optimal transport
G. Peyré and M. Cuturi · 2019
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Graph Signal Representation with Wasserstein Barycenters
E. Simou and P. Frossard · 2019
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