LAUSR

A Geometric Perspective on Regularized Optimal Transport

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0 Published in 2017 at "Journal of Dynamics and Differential Equations"

DOI: 10.1007/s10884-018-9684-9

Abstract: We present new geometric intuition on dynamical versions of regularized optimal transport. We introduce two families of variational problems on Riemannian manifolds which contain analogues of the Schrödinger bridge problem and the Yasue problem. We… read more here.

Keywords: perspective regularized; regularized optimal; geometric perspective; optimal transport ... See more keywords

Constructing Hopf Insulator from Geometric Perspective of Hopf Invariant

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0 Published in 2024 at "Chinese Physics Letters"

DOI: 10.1088/0256-307x/41/3/037302

Abstract: We propose a method to construct Hopf insulators based on the study of topological defects from the geometric perspective of Hopf invariant I. Firstly, we prove two types of topological defects naturally inhering in the… read more here.

Keywords: perspective hopf; hopf insulator; geometric perspective; hopf ... See more keywords

Quantum geometric perspective on the origin of quantum-conditioned curvatures

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0 Published in 2024 at "Classical and Quantum Gravity"

DOI: 10.1088/1361-6382/ad7451

Abstract: The quantization of the gravitational field, which includes the metric field, has been investigated using various methods such as loop quantum gravity, quantum field theory, and string theory. Nevertheless, an alternative strategy to tackle the… read more here.

Keywords: conditioned curvatures; quantum conditioned; quantum geometric; geometric perspective ... See more keywords

A Geometric Perspective on Fusing Gaussian Distributions on Lie Groups

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0 Published in 2024 at "IEEE Control Systems Letters"

DOI: 10.1109/lcsys.2024.3405485

Abstract: Stochastic inference on Lie groups plays a key role in state estimation problems such as; inertial navigation, visual inertial odometry, pose estimation in virtual reality, etc. A key problem is fusing independent concentrated Gaussian distributions… read more here.

Keywords: fusing gaussian; perspective fusing; lie groups; geometric perspective ... See more keywords

An Information Geometric Perspective on the Complexity of Macroscopic Predictions Arising from Incomplete Information

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0 Published in 2018 at "Advances in Mathematical Physics"

DOI: 10.1155/2018/2048521

Abstract: Motivated by the presence of deep connections among dynamical equations, experimental data, physical systems, and statistical modeling, we report on a series of findings uncovered by the authors and collaborators during the last decade within… read more here.

Keywords: information; complexity; information geometric; macroscopic predictions ... See more keywords