Global ETD Search
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Showing 1 to 2 of 2 for “"Data Geometry"”.
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Adaptive Functional Data Analysis
… we contribute to adaptive modeling of functional data, focusing on the fundamental aspects of representation and regression, where challenges arise from the infinite-dimensionality of their underlying spaces. For adaptive representation, the notion of mixture inner product spaces (MIPS) is …
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Towards Learning the Geometry of Data: From Diffusion Models to Riemannian Geometry
… self-supervised learning, and Riemannian geometry, paving the way for learning the intrinsic geometry of data manifolds. In chapter 3, we introduce CAFLOW, a conditional normalising flow that improves image-to-image translation by hierarchically modelling image distributions across scales. …