HilbNets define convolutions via Hilbert bundle connection Laplacians, prove that sampled Hilbert cellular sheaf Laplacians converge to the continuous operator, and show that discretized networks are consistent and transferable across samplings.
Faisal Beg, Michael I
3 Pith papers cite this work. Polarity classification is still indexing.
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DiffTW derives a diffeomorphic dissimilarity from transport equation characteristics using ODEs and RKHS optimal control, outperforming DTW on 60 of 86 datasets with 1-NN.
A Bayesian framework models synapses as point sources under diffeomorphic deformation with Poisson noise to simultaneously track locations, intensities, and tissue motion in longitudinal in vivo microscopy.
citing papers explorer
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Consistent Geometric Deep Learning via Hilbert Bundles and Cellular Sheaves
HilbNets define convolutions via Hilbert bundle connection Laplacians, prove that sampled Hilbert cellular sheaf Laplacians converge to the continuous operator, and show that discretized networks are consistent and transferable across samplings.
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Time Series Classification through Diffeomorphic Time Warping (DiffTW)
DiffTW derives a diffeomorphic dissimilarity from transport equation characteristics using ODEs and RKHS optimal control, outperforming DTW on 60 of 86 datasets with 1-NN.
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Bayesian In Vivo Tracking of Synapses using Joint Poisson Deconvolution and Diffeomorphic Registration
A Bayesian framework models synapses as point sources under diffeomorphic deformation with Poisson noise to simultaneously track locations, intensities, and tissue motion in longitudinal in vivo microscopy.