https://3demmethods.i2pc.es/index.php?action=history&feed=atom&title=2024Singer_Wasserstein 2026-05-24T21:06:02Z Revision history for this page on the wiki MediaWiki 1.44.2 https://3demmethods.i2pc.es/index.php?title=2024Singer_Wasserstein&diff=4899&oldid=prev 2024-12-27T07:19:03Z

<p>Created page with &quot;== Citation == A. Singer and R. Yang, “Alignment of density maps in Wasserstein distance,” Biological Imaging, vol. 4, p. e5, 2024. == Abstract == In this article, we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algorithm is based on minimizing the 1-Wasserstein distance between the density maps after a rigid transformation. The induced loss function en...&quot;</p> <p><b>New page</b></p><div>== Citation ==<br /> <br /> A. Singer and R. Yang, “Alignment of density maps in Wasserstein distance,” Biological Imaging, vol. 4, p. e5, 2024.<br /> <br /> == Abstract ==<br /> <br /> In this article, we propose an algorithm for aligning three-dimensional objects when represented as density maps, motivated by applications in cryogenic electron microscopy. The algorithm is based on minimizing the 1-Wasserstein distance between the density maps after a rigid transformation. The induced loss function enjoys a more benign landscape than its Euclidean counterpart and Bayesian optimization is employed for computation. Numerical experiments show improved accuracy and efficiency over existing algorithms on the alignment of real protein molecules. In the context of aligning heterogeneous pairs, we illustrate a potential need for new distance functions.<br /> <br /> == Keywords ==<br /> <br /> == Links ==<br /> <br /> https://www.cambridge.org/core/journals/biological-imaging/article/alignment-of-density-maps-in-wasserstein-distance/59068B152B07ECD15614A8654608E86D<br /> <br /> == Related software ==<br /> <br /> == Related methods ==<br /> <br /> == Comments ==</div>

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