Results 41 to 50 of about 23,924 (195)
Robust Multivehicle Tracking With Wasserstein Association Metric in Surveillance Videos
IEEE Access, 2020 Vehicle tracking based on surveillance videos is of great significance in the highway traffic monitoring field. In real-world vehicle-tracking applications, partial occlusion and objects with similarly appearing distractors pose significant challenges ...
Yanjie Zeng +5 more
doaj +1 more source
Metrics for matrix-valued measures via test functions
, 2014 It is perhaps not widely recognized that certain common notions of distance between probability measures have an alternative dual interpretation which compares corresponding functionals against suitable families of test functions.
Georgiou, Tryphon T., Ning, Lipeng
core +1 more source
Homogenisation of Wasserstein gradient flows
European Journal of Applied MathematicsWe prove the convergence of a Wasserstein gradient flow of a free energy in inhomogeneous media. Both the energy and media can depend on the spatial variable in a fast oscillatory manner.
Yuan Gao, Nung Kwan Yip
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A Framework for Wasserstein-1-Type Metrics
, 2017 We propose a unifying framework for generalising the Wasserstein-1 metric to a discrepancy measure between nonnegative measures of different mass. This generalization inherits the convexity and computational efficiency from the Wasserstein-1 metric, and it includes several previous approaches from the literature as special cases.
Schmitzer, Bernhard, Wirth, Benedikt
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The Wasserstein metric in Factor Analysis [PDF]
, 2013 We consider the problem of approximating a (nonnegative definite) covariance matrix by the sum of two structured covariances –one which is diagonal and one which has low-rank. Such an additive decomposition follows the dictum of factor analysis where linear relations are sought between variables corrupted by independent measurement noise.
Lipeng Ning, Tryphon Georgiou
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The quadratic Wasserstein metric for earthquake location [PDF]
Journal of Computational Physics, 2018 25 pages, 13 ...
Chen, Jing +3 more
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Stein's method and Poisson process approximation for a class of Wasserstein metrics
, 2009 Based on Stein's method, we derive upper bounds for Poisson process approximation in the $L_1$-Wasserstein metric $d_2^{(p)}$, which is based on a slightly adapted $L_p$-Wasserstein metric between point measures.
Schuhmacher, Dominic
core +3 more sources
Electromagnetic Full Waveform Inversion Based on Quadratic Wasserstein Metric
IEEE Transactions on Antennas and Propagation, 2022 Abstract: Electromagnetic full waveform inversion (FWI) is a high-resolution method to reveal the distribution of dielectric parameters of the medium. Traditionally, the electromagnetic FWI is usually performed using the L-2 norm misfit function, which suffers severely local minimum problems since the L-2 norm misfit function is nonconvex in the model ...
Jian Deng +5 more
openaire +2 more sources
Advanced Intelligent Discovery, EarlyView.We investigate MACE‐MP‐0 and M3GNet, two general‐purpose machine learning potentials, in materials discovery and find that both generally yield reliable predictions. At the same time, both potentials show a bias towards overstabilizing high energy metastable states. We deduce a metric to quantify when these potentials are safe to use.
Konstantin S. Jakob +2 more
wiley +1 more source
Advanced Intelligent Discovery, EarlyView.This work presents a novel generative artificial intelligence (AI) framework for inverse alloy design through operations (optimization and diffusion) within learned compact latent space from variational autoencoder (VAE). The proposed work addresses challenges of limited data, nonuniqueness solutions, and high‐dimensional spaces.
Mohammad Abu‐Mualla +4 more
wiley +1 more source