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05/21/2023
PCF-GAN: generating sequential data via the characteristic function of measures on the path space
Generating high-fidelity time series data using generative adversarial n...
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03/12/2023
Gaussian kernels on non-simply-connected closed Riemannian manifolds are never positive definite
We show that the Gaussian kernel exp{-λ d_g^2(∙, ∙)} on any non-simply-c...
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04/02/2022
Path Development Network with Finite-dimensional Lie Group Representation
The path signature, a mathematically principled and universal feature of...
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02/21/2020