Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition

STM Dawson, MS Hemati, MO Williams… - Experiments in …, 2016 - Springer
Dynamic mode decomposition (DMD) provides a practical means of extracting insightful
dynamical information from fluids datasets. Like any data processing technique, DMD's …

Machine learning for structure determination in single-particle cryo-electron microscopy: A systematic review

JG Wu, Y Yan, DX Zhang, BW Liu… - … on Neural Networks …, 2021 - ieeexplore.ieee.org
Recently, single-particle cryo-electron microscopy (cryo-EM) has become an indispensable
method for determining macromolecular structures at high resolution to deeply explore the …

Rotationally invariant image representation for viewing direction classification in cryo-EM

Z Zhao, A Singer - Journal of structural biology, 2014 - Elsevier
We introduce a new rotationally invariant viewing angle classification method for identifying,
among a large number of cryo-EM projection images, similar views without prior knowledge …

Method of moments for 3D single particle ab initio modeling with non-uniform distribution of viewing angles

N Sharon, J Kileel, Y Khoo, B Landa… - Inverse Problems, 2020 - iopscience.iop.org
Single-particle reconstruction in cryo-electron microscopy (cryo-EM) is an increasingly
popular technique for determining the 3D structure of a molecule from several noisy 2D …

Dyadic boundary points based empirical wavelet transform for the elimination of eye movement and eye blink-based ocular artifacts from EEG signals

S Dash, P Gajbhiye, P Sawangjai… - … Signal Processing and …, 2023 - Elsevier
The movement of eyeballs and eye blinks produces ocular artifacts in the
electroencephalogram (EEG) signal during recording. It is necessary to filter out these …

Achieving rotational invariance with bessel-convolutional neural networks

V Delchevalerie, A Bibal, B Frénay… - Advances in Neural …, 2021 - proceedings.neurips.cc
For many applications in image analysis, learning models that are invariant to translations
and rotations is paramount. This is the case, for example, in medical imaging where the …

Mathematics for cryo-electron microscopy

A Singer - Proceedings of the International Congress of …, 2018 - World Scientific
Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography
and NMR spectroscopy as a high-resolution structural method for biological …

Fast steerable principal component analysis

Z Zhao, Y Shkolnisky, A Singer - IEEE transactions on …, 2016 - ieeexplore.ieee.org
Cryo-electron microscopy nowadays often requires the analysis of hundreds of thousands of
2-D images as large as a few hundred pixels in each direction. Here, we introduce an …

A guided tour of selected image processing and analysis methods for fluorescence and electron microscopy

C Kervrann, CÓS Sorzano, ST Acton… - IEEE Journal of …, 2015 - ieeexplore.ieee.org
Microscopy imaging, including fluorescence micro scopy and electron microscopy, has
taken a prominent role in life science research and medicine due to its ability to investigate …

Covariance matrix estimation for the cryo-EM heterogeneity problem

E Katsevich, A Katsevich, A Singer - SIAM journal on imaging sciences, 2015 - SIAM
In cryo-electron microscopy (cryo-EM), a microscope generates a top view of a sample of
randomly oriented copies of a molecule. The problem of single particle reconstruction (SPR) …