<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://3demmethods.i2pc.es/index.php?action=history&amp;feed=atom&amp;title=2022Kimanius_Sparse</id>
	<title>2022Kimanius Sparse - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://3demmethods.i2pc.es/index.php?action=history&amp;feed=atom&amp;title=2022Kimanius_Sparse"/>
	<link rel="alternate" type="text/html" href="https://3demmethods.i2pc.es/index.php?title=2022Kimanius_Sparse&amp;action=history"/>
	<updated>2026-06-13T12:12:45Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.44.2</generator>
	<entry>
		<id>https://3demmethods.i2pc.es/index.php?title=2022Kimanius_Sparse&amp;diff=4570&amp;oldid=prev</id>
		<title>WikiSysop: Created page with &quot;== Citation ==  Kimanius, Dari / Jamali, Kiarash / Scheres, Sjors. Sparse Fourier backpropagation in cryo-EM reconstruction. 2022. Advances in Neural Information Processing Systems, Vol. 35 p. 12395-12408  == Abstract ==  Electron cryo-microscopy (cryo-EM) is a powerful method for investigating the structures of protein molecules, with important implications for understanding the molecular processes of life and drug development. In this technique, many noisy, two-dimensi...&quot;</title>
		<link rel="alternate" type="text/html" href="https://3demmethods.i2pc.es/index.php?title=2022Kimanius_Sparse&amp;diff=4570&amp;oldid=prev"/>
		<updated>2024-07-30T05:48:36Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Kimanius, Dari / Jamali, Kiarash / Scheres, Sjors. Sparse Fourier backpropagation in cryo-EM reconstruction. 2022. Advances in Neural Information Processing Systems, Vol. 35 p. 12395-12408  == Abstract ==  Electron cryo-microscopy (cryo-EM) is a powerful method for investigating the structures of protein molecules, with important implications for understanding the molecular processes of life and drug development. In this technique, many noisy, two-dimensi...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Citation ==&lt;br /&gt;
&lt;br /&gt;
Kimanius, Dari / Jamali, Kiarash / Scheres, Sjors. Sparse Fourier backpropagation in cryo-EM reconstruction. 2022. Advances in Neural Information Processing Systems, Vol. 35&lt;br /&gt;
p. 12395-12408&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
Electron cryo-microscopy (cryo-EM) is a powerful method for investigating the&lt;br /&gt;
structures of protein molecules, with important implications for understanding&lt;br /&gt;
the molecular processes of life and drug development. In this technique, many&lt;br /&gt;
noisy, two-dimensional projection images of protein molecules in unknown poses&lt;br /&gt;
are combined into one or more three-dimensional reconstructions. The presence&lt;br /&gt;
of multiple structural states in the data represents a major bottleneck in existing&lt;br /&gt;
processing pipelines, often requiring expert user supervision. Variational autoencoders&lt;br /&gt;
(VAEs) have recently been proposed as an attractive means for learning&lt;br /&gt;
the data manifold of data sets with a large number of different states. These&lt;br /&gt;
methods are based on a coordinate-based approach, similar to Neural Radiance&lt;br /&gt;
Fields (NeRF), to make volumetric reconstructions from 2D image data in Fourierspace.&lt;br /&gt;
Although NeRF is a powerful method for real-space reconstruction, many of&lt;br /&gt;
the benefits of the method do not transfer to Fourier-space, e.g. inductive bias for&lt;br /&gt;
spatial locality. We present an approach where the VAE reconstruction is expressed&lt;br /&gt;
on a volumetric grid, and demonstrate how this model can be trained efficiently&lt;br /&gt;
through a novel backpropagation method that exploits the sparsity of the projection&lt;br /&gt;
operation in Fourier-space. We achieve improved results on a simulated data set&lt;br /&gt;
and at least equivalent results on an experimental data set when compared to the&lt;br /&gt;
coordinate-based approach, while also substantially lowering computational cost.&lt;br /&gt;
Our approach is computationally more efficient, especially in inference, enabling&lt;br /&gt;
interactive analysis of the latent space by the user.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://proceedings.neurips.cc/paper_files/paper/2022/hash/50729453d56ecf6a8b7be78998776472-Abstract-Conference.html&lt;br /&gt;
&lt;br /&gt;
== Related software ==&lt;br /&gt;
&lt;br /&gt;
== Related methods ==&lt;br /&gt;
&lt;br /&gt;
== Comments ==&lt;/div&gt;</summary>
		<author><name>WikiSysop</name></author>
	</entry>
</feed>