5 problems
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Fundamental role of ultrametric Laplacian eigenbases in phylogenetic geometric deep learning
Let be the ultrametric Laplacian of a finite ultrametric phylogenetic tree, and let its eigenbasis and spectral parameters be used to represent functions on the t…
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The overspecified-codimension conjecture for levelset integral kernels
Let be the incidence submanifold of defining a double fibration transform, and let denote the codimension of the transform. Levelset integral kernels may use a…
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SEGNN's equivariance conjecture for arterial velocity estimation
Let SEGNN denote the geometric graph neural network used to estimate three-dimensional velocity fields from arterial input meshes, and let denote the group of roto…
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The categorical representation conjecture for geometric deep learning models
The discussion concerns geometric deep learning architectures built as compositions of pooling layers, locally equivariant layers, activation functions, and an output map, for exam…
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The conjecture that complex classification tasks yield richer neural geometric structure
A classification task is called more complex when it involves greater task complexity, such as the distinction between CIFAR100 and CIFAR10; a Ricci flow assisted Eucl2Hyp2Eucl neu…