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04/06/2023
Interpretable statistical representations of neural population dynamics and geometry
The dynamics of neuron populations during diverse tasks often evolve on ...
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03/08/2023
PyGenStability: Multiscale community detection with generalized Markov Stability
We present PyGenStability, a general-use Python software package that pr...
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10/07/2021
Moment evolution equations and moment matching for stochastic image EPDiff
Models of stochastic image deformation allow study of time-continuous st...
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05/06/2021
A Unifying and Canonical Description of Measure-Preserving Diffusions
A complete recipe of measure-preserving diffusions in Euclidean space wa...
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02/03/2020
Diffusion bridges for stochastic Hamiltonian systems with applications to shape analysis
Stochastically evolving geometric systems are studied in geometric mecha...
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09/24/2019
Semi-supervised classification on graphs using explicit diffusion dynamics
Classification tasks based on feature vectors can be significantly impro...
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03/21/2019
Irreversible Langevin MCMC on Lie Groups
It is well-known that irreversible MCMC algorithms converge faster to th...
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01/08/2019
Selective metamorphosis for growth modelling with applications to landmarks
We present a framework for shape matching in computational anatomy allow...
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12/13/2018
Stochastic Image Deformation in Frequency Domain and Parameter Estimation using Moment Evolutions
Modelling deformation of anatomical objects observed in medical images c...
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05/15/2018
String Methods for Stochastic Image and Shape Matching
Matching of images and analysis of shape differences is traditionally pu...
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12/22/2017
Differential geometry and stochastic dynamics with deep learning numerics
In this paper, we demonstrate how deterministic and stochastic dynamics ...
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11/20/2017
Stochastic metamorphosis with template uncertainties
In this paper, we investigate two stochastic perturbations of the metamo...
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05/31/2017
Bridge Simulation and Metric Estimation on Landmark Manifolds
We present an inference algorithm and connected Monte Carlo based estima...
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03/29/2017
A Geometric Framework for Stochastic Shape Analysis
We introduce a stochastic model of diffeomorphisms, whose action on a va...
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12/16/2016