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05/21/2023
Alignment of Density Maps in Wasserstein Distance
In this paper we propose an algorithm for aligning three-dimensional obj...
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10/31/2022
Fast Principal Component Analysis for Cryo-EM Images
Principal component analysis (PCA) plays an important role in the analys...
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09/21/2022
Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms
The number of noisy images required for molecular reconstruction in sing...
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07/27/2022
Fast expansion into harmonics on the disk: a steerable basis with fast radial convolutions
We present a fast and numerically accurate method for expanding digitize...
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02/18/2022
A Molecular Prior Distribution for Bayesian Inference Based on Wilson Statistics
Background and Objective: Wilson statistics describe well the power spec...
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02/15/2022
Ab-initio Contrast Estimation and Denoising of Cryo-EM Images
Background and Objective: The contrast of cryo-EM images vary from one t...
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01/31/2022
On a linearization of quadratic Wasserstein distance
This paper studies the problem of computing a linear approximation of qu...
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09/23/2021
Sparse multi-reference alignment: sample complexity and computational hardness
Motivated by the problem of determining the atomic structure of macromol...
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01/19/2021
Multi-target detection with rotations
We consider the multi-target detection problem of estimating a two-dimen...
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01/10/2021
Random Conical Tilt Reconstruction without Particle Picking in Cryo-electron Microscopy
We propose a method to reconstruct the 3-D molecular structure from micr...
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12/28/2020
Manifold learning with arbitrary norms
Manifold learning methods play a prominent role in nonlinear dimensional...
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10/20/2020
Wasserstein K-Means for Clustering Tomographic Projections
Motivated by the 2D class averaging problem in single-particle cryo-elec...
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10/19/2020
Product Manifold Learning
We consider problems of dimensionality reduction and learning data repre...
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08/09/2020
NMR Assignment through Linear Programming
Nuclear Magnetic Resonance (NMR) Spectroscopy is the second most used te...
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06/27/2020
Super-resolution multi-reference alignment
We study super-resolution multi-reference alignment, the problem of esti...
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10/22/2019
Image recovery from rotational and translational invariants
We introduce a framework for recovering an image from its rotationally a...
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08/09/2019
Bias and variance reduction and denoising for CTF Estimation
When using an electron microscope for imaging of particles embedded in v...
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08/01/2019
Single-particle cryo-electron microscopy: Mathematical theory, computational challenges, and opportunities
In recent years, an abundance of new molecular structures have been eluc...
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07/11/2019
Method of moments for 3-D single particle ab initio modeling with non-uniform distribution of viewing angles
Single-particle reconstruction in cryo-electron microscopy (cryo-EM) is ...
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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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07/02/2019
The generalized orthogonal Procrustes problem in the high noise regime
We consider the problem of estimating a cloud of points from numerous no...
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07/01/2019
Cryo-EM reconstruction of continuous heterogeneity by Laplacian spectral volumes
Single-particle electron cryomicroscopy is an essential tool for high-re...
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05/08/2019
Multi-target Detection with an Arbitrary Spacing Distribution
Motivated by the structure reconstruction problem in cryo-electron micro...
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03/12/2019
Multi-target detection with application to cryo-electron microscopy
We consider the multi-target detection problem of recovering a set of si...
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12/20/2018
Steerable ePCA
In photon-limited imaging, the pixel intensities are affected by photon ...
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09/29/2018
Toward single particle reconstruction without particle picking: Breaking the detection limit
Single-particle cryo-electron microscopy (cryo-EM) has recently joined X...
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02/01/2018
APPLE Picker: Automatic Particle Picking, a Low-Effort Cryo-EM Framework
Particle picking is a crucial first step in the computational pipeline o...
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01/13/2018
Estimation in the group action channel
We analyze the problem of estimating a signal from multiple measurements...
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10/23/2017
Structural Variability from Noisy Tomographic Projections
In cryo-electron microscopy, the 3D electric potentials of an ensemble o...
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10/23/2017
3D ab initio modeling in cryo-EM by autocorrelation analysis
Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-E...
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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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02/10/2017
A New Rank Constraint on Multi-view Fundamental Matrices, and its Application to Camera Location Recovery
Accurate estimation of camera matrices is an important step in structure...
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01/30/2017
A Survey of Structure from Motion
The structure from motion (SfM) problem in computer vision is the proble...
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11/10/2016
Mahalanobis Distance for Class Averaging of Cryo-EM Images
Single particle reconstruction (SPR) from cryo-electron microscopy (EM) ...
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07/12/2016
A Representation Theory Perspective on Simultaneous Alignment and Classification
One of the difficulties in 3D reconstruction of molecules from images in...
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02/22/2016
Denoising and Covariance Estimation of Single Particle Cryo-EM Images
The problem of image restoration in cryo-EM entails correcting for the e...
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12/02/2014
Covariance estimation using conjugate gradient for 3D classification in Cryo-EM
Classifying structural variability in noisy projections of biological ma...
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12/02/2014
Fast Steerable Principal Component Analysis
Cryo-electron microscopy nowadays often requires the analysis of hundred...
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12/01/2014
Orthogonal Matrix Retrieval in Cryo-Electron Microscopy
In single particle reconstruction (SPR) from cryo-electron microscopy (c...
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11/29/2014
Robust Camera Location Estimation by Convex Programming
3D structure recovery from a collection of 2D images requires the estima...
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04/10/2014
Open problem: Tightness of maximum likelihood semidefinite relaxations
We have observed an interesting, yet unexplained, phenomenon: Semidefini...
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12/18/2013
Stable Camera Motion Estimation Using Convex Programming
We study the inverse problem of estimating n locations t_1, ..., t_n (up...
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09/29/2013
Rotationally Invariant Image Representation for Viewing Direction Classification in Cryo-EM
We introduce a new rotationally invariant viewing angle classification m...
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06/21/2013
Global registration of multiple point clouds using semidefinite programming
Consider N points in R^d and M local coordinate systems that are related...
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06/07/2013
Spectral Convergence of the connection Laplacian from random samples
Spectral methods that are based on eigenvectors and eigenvalues of discr...
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11/18/2012
Non-Local Patch Regression: Robust Image Denoising in Patch Space
It was recently demonstrated in [Chaudhury et al.,Non-Local Euclidean Me...
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11/08/2012
Fourier-Bessel rotational invariant eigenimages
We present an efficient and accurate algorithm for principal component a...
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07/12/2012
Non-Local Euclidean Medians
In this letter, we note that the denoising performance of Non-Local Mean...
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02/01/2011