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Unsupervised classification called clustering is a process of organizing objects into groups whose members are similar in some way. Clustering of uncertain data objects is a challenge in spatial data bases. In this paper we use Probability…

Databases · Computer Science 2013-12-10 Ramachandra Rao Kurada

As a pivotal branch of machine learning, manifold learning uncovers the intrinsic low-dimensional structure within complex nonlinear manifolds in high-dimensional space for visualization, classification, clustering, and gaining key…

Machine Learning · Computer Science 2025-09-16 Dehua Peng , Zhipeng Gui , Wenzhang Wei , Fa Li , Jie Gui , Huayi Wu , Jianya Gong

Cryogenic electron microscopy (cryo-EM) has become an enabling technology in drug discovery and in understanding molecular bases of disease by producing near-atomic resolution (less than 0.4 nm) 3D reconstructions of biological…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Hong Xu , David E. Timm , Shireen Y. Elhabian

Regression mixture models are widely studied in statistics, machine learning and data analysis. Fitting regression mixtures is challenging and is usually performed by maximum likelihood by using the expectation-maximization (EM) algorithm.…

Methodology · Statistics 2014-09-25 Faicel Chamroukhi

Motivation: Cryo-Electron Tomography (cryo-ET) is a 3D bioimaging tool that visualizes the structural and spatial organization of macromolecules at a near-native state in single cells, which has broad applications in life science. However,…

Quantitative Methods · Quantitative Biology 2021-07-28 Xuefeng Du , Haohan Wang , Zhenxi Zhu , Xiangrui Zeng , Yi-Wei Chang , Jing Zhang , Min Xu

Cryo-electron microscopy (cryo-EM) studies using single particle reconstruction are extensively used to reveal structural information on macromolecular complexes. Aiming at the highest achievable resolution, state of the art electron…

Supervised manifold learning methods learn data representations by preserving the geometric structure of data while enhancing the separation between data samples from different classes. In this work, we propose a theoretical study of…

Machine Learning · Computer Science 2018-01-08 Elif Vural , Christine Guillemot

Single-particle cryo-electron microscopy (cryo-EM) has become one of the mainstream structural biology techniques because of its ability to determine high-resolution structures of dynamic bio-molecules. However, cryo-EM data acquisition…

Machine Learning · Computer Science 2022-04-18 Quanfu Fan , Yilai Li , Yuguang Yao , John Cohn , Sijia Liu , Seychelle M. Vos , Michael A. Cianfrocco

Manifold theory has been the central concept of many learning methods. However, learning modern CNNs with manifold structures has not raised due attention, mainly because of the inconvenience of imposing manifold structures onto the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-09 Dengxin Dai , Wen Li , Till Kroeger , Luc Van Gool

Single particle cryo-electron microscopy (EM) is an increasingly popular method for determining the 3-D structure of macromolecules from noisy 2-D images of single macromolecules whose orientations and positions are random and unknown. One…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Roy R. Lederman , Amit Singer

Purpose: Lesion segmentation in medical imaging is key to evaluating treatment response. We have recently shown that reinforcement learning can be applied to radiological images for lesion localization. Furthermore, we demonstrated that…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Joseph Stember , Hrithwik Shalu

Motivation: Cellular Electron CryoTomography (CECT) enables 3D visualization of cellular organization at near-native state and in sub-molecular resolution, making it a powerful tool for analyzing structures of macromolecular complexes and…

Quantitative Methods · Quantitative Biology 2017-04-14 Min Xu , Xiaoqi Chai , Hariank Muthakana , Xiaodan Liang , Ge Yang , Tzviya Zeev-Ben-Mordehai , Eric Xing

Unsupervised clustering is one of the most fundamental challenges in machine learning. A popular hypothesis is that data are generated from a union of low-dimensional nonlinear manifolds; thus an approach to clustering is identifying and…

Machine Learning · Computer Science 2017-12-27 Dejiao Zhang , Yifan Sun , Brian Eriksson , Laura Balzano

In the realms of computer vision, it is evident that deep neural networks perform better in a supervised setting with a large amount of labeled data. The representations learned with supervision are not only of high quality but also helps…

Machine Learning · Computer Science 2020-09-28 Souradip Chakraborty , Aritra Roy Gosthipaty , Sayak Paul

Cryo-electron microscopy (cryo-EM) is a powerful technique for determining the structure of proteins and other macromolecular complexes at near-atomic resolution. In single particle cryo-EM, the central problem is to reconstruct the…

Quantitative Methods · Quantitative Biology 2020-02-18 Ellen D. Zhong , Tristan Bepler , Joseph H. Davis , Bonnie Berger

The K-means one-step dimensionality reduction clustering method has made some progress in addressing the curse of dimensionality in clustering tasks. However, it combines the K-means clustering and dimensionality reduction processes for…

Machine Learning · Computer Science 2024-10-31 Fangfang Li , Quanxue Gao , Cheng Deng , Wei Xia

In recent years, an abundance of new molecular structures have been elucidated using cryo-electron microscopy (cryo-EM), largely due to advances in hardware technology and data processing techniques. Owing to these new exciting…

Information Theory · Computer Science 2020-04-22 Tamir Bendory , Alberto Bartesaghi , Amit Singer

Determining the 3D structures of biological molecules is a key problem for both biology and medicine. Electron Cryomicroscopy (Cryo-EM) is a promising technique for structure estimation which relies heavily on computational methods to…

Machine Learning · Statistics 2015-01-29 Ali Punjani , Marcus A. Brubaker

We present MIX'EM, a novel solution for unsupervised image classification. MIX'EM generates representations that by themselves are sufficient to drive a general-purpose clustering algorithm to deliver high-quality classification. This is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Ali Varamesh , Tinne Tuytelaars

Cryo-Electron Microscopy (cryo-EM) has emerged as a key technology to determine the structure of proteins, particularly large protein complexes and assemblies in recent years. A key challenge in cryo-EM data analysis is to automatically…

Biomolecules · Quantitative Biology 2023-04-04 Nabin Giri , Raj S. Roy , Jianlin Cheng