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07/19/2023
Geometry in global coordinates in mechanics and optimal transport
For a manifold embedded in an inner product space, we express geometric ...
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10/31/2022
Road Damages Detection and Classification with YOLOv7
Maintaining the roadway infrastructure is one of the essential factors i...
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01/01/2022
Understanding Public Opinion on Using Hydroxychloroquine for COVID-19 Treatment via Social Media
Hydroxychloroquine (HCQ) is used to prevent or treat malaria caused by m...
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05/05/2021
Curvatures of Stiefel manifolds with deformation metrics
We compute curvatures of a family of tractable metrics on Stiefel manifo...
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05/04/2021
Riemannian Geometry with differentiable ambient space and metric operator
We show Riemannian geometry could be studied by identifying the tangent ...
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03/12/2021
Closed-form geodesics and trust-region method to calculate Riemannian logarithms on Stiefel and its quotient manifolds
We provide two closed-form geodesic formulas for a family of metrics on ...
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09/21/2020
Operator-valued formulas for Riemannian Gradient and Hessian and families of tractable metrics in optimization and machine learning
We provide an explicit formula for the Levi-Civita connection and Rieman...
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10/06/2019
A theorem of Kalman and minimal state-space realization of Vector Autoregressive Models
We introduce a concept of autoregressive (AR)state-space realization tha...
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09/01/2019
Vector Autoregressive Moving Average Model with Scalar Moving Average
We show Vector Autoregressive Moving Average models with scalar Moving A...
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08/01/2019