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04/27/2023
On Manifold Learning in Plato's Cave: Remarks on Manifold Learning and Physical Phenomena
Many techniques in machine learning attempt explicitly or implicitly to ...
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03/13/2023
Using VAEs to Learn Latent Variables: Observations on Applications in cryo-EM
Variational autoencoders (VAEs) are a popular generative model used to a...
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01/04/2023
Geometric Ergodicity in Modified Variations of Riemannian Manifold and Lagrangian Monte Carlo
Riemannian manifold Hamiltonian (RMHMC) and Lagrangian Monte Carlo (LMC)...
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02/28/2022
Several Remarks on the Numerical Integrator in Lagrangian Monte Carlo
Riemannian manifold Hamiltonian Monte Carlo (RMHMC) is a powerful method...
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11/19/2021
On Numerical Considerations for Riemannian Manifold Hamiltonian Monte Carlo
Riemannian manifold Hamiltonian Monte Carlo (RMHMC) is a sampling algori...
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10/25/2021
Adaptation of the Independent Metropolis-Hastings Sampler with Normalizing Flow Proposals
Markov Chain Monte Carlo (MCMC) methods are a powerful tool for computat...
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07/02/2021
Maximum likelihood for high-noise group orbit estimation and single-particle cryo-EM
Motivated by applications to single-particle cryo-electron microscopy (c...
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02/14/2021
Manifold Density Estimation via Generalized Dequantization
Density estimation is an important technique for characterizing distribu...
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02/14/2021
Evaluating the Implicit Midpoint Integrator for Riemannian Manifold Hamiltonian Monte Carlo
Riemannian manifold Hamiltonian Monte Carlo is traditionally carried out...
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10/15/2020
Magnetic Manifold Hamiltonian Monte Carlo
Markov chain Monte Carlo (MCMC) algorithms offer various strategies for ...
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09/17/2020
Spectral Flow on the Manifold of SPD Matrices for Multimodal Data Processing
In this paper, we consider data acquired by multimodal sensors capturing...
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08/18/2020
Non-Canonical Hamiltonian Monte Carlo
Hamiltonian Monte Carlo is typically based on the assumption of an under...
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12/18/2019
Extreme Values of the Fiedler Vector on Trees
Let G be a connected tree on n vertices and let L = D-A denote the Lapla...
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07/02/2019
Hyper-Molecules: on the Representation and Recovery of Dynamical Structures, with Application to Flexible Macro-Molecular Structures in Cryo-EM
Cryo-electron microscopy (cryo-EM), the subject of the 2017 Nobel Prize ...
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10/08/2017
Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions
Generalized Prolate Spheroidal Functions (GPSF) are the eigenfunctions o...
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04/10/2017
Continuously heterogeneous hyper-objects in cryo-EM and 3-D movies of many temporal dimensions
Single particle cryo-electron microscopy (EM) is an increasingly popular...
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07/12/2016