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Recursive decoding techniques are considered for Reed-Muller (RM) codes of growing length $n$ and fixed order $r.$ An algorithm is designed that has complexity of order $n\log n$ and corrects most error patterns of weight up to…

Information Theory · Computer Science 2017-03-17 Ilya Dumer

Modeling the localized intensive deformation in a damaged solid requires highly refined discretization for accurate prediction, which significantly increases the computational cost. Although adaptive model refinement can be employed for…

Computational Engineering, Finance, and Science · Computer Science 2022-05-18 Jonghyuk Baek , Jiun-Shyan Chen , Kristen Susuki

Cryo-electron microscopy (cryo-EM) emerges as a pivotal technology for determining the architecture of cells, viruses, and protein assemblies at near-atomic resolution. Traditional particle picking, a key step in cryo-EM, struggles with…

Biomolecules · Quantitative Biology 2024-04-17 Chentianye Xu , Xueying Zhan , Min Xu

Unsupervised industrial anomaly detection requires accurately identifying defects without labeled data. Traditional autoencoder-based methods often struggle with incomplete anomaly suppression and loss of fine details, as their single-pass…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Rongcheng Wu , Hao Zhu , Shiying Zhang , Mingzhe Wang , Zhidong Li , Hui Li , Jianlong Zhou , Jiangtao Cui , Fang Chen , Pingyang Sun , Qiyu Liao , Ye Lin

Fast and accurate protein structure prediction is one of the major challenges in structural biology, biotechnology and molecular biomedicine. These fields require 3D protein structures for rational design of proteins with improved or novel…

Data Analysis, Statistics and Probability · Physics 2013-11-14 Lars A. Bratholm

Recently, neural networks have improved MinSum message-passing decoders for low-density parity-check (LDPC) codes by multiplying or adding weights to the messages, where the weights are determined by a neural network. The neural network…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Linfang Wang , Caleb Terrill , Richard Wesel , Dariush Divsalar

Despite considerable progress, ab initio protein structure prediction remains suboptimal. A crowdsourcing approach is the online puzzle video game Foldit, that provided several useful results that matched or even outperformed…

Biomolecules · Quantitative Biology 2020-11-09 Dimitra N. Panou , Martin Reczko

Nuclear Magnetic Resonance (NMR) spectrometry uses electro-frequency pulses to probe the resonance of a compound's nucleus, which is then analyzed to determine its structure. The acquisition time of high-resolution NMR spectra remains a…

Protein complexes are macromolecules essential to the functioning and well-being of all living organisms. As the structure of a protein complex, in particular its region of interaction between multiple protein subunits (i.e., chains), has a…

Machine Learning · Computer Science 2022-05-26 Alex Morehead , Xiao Chen , Tianqi Wu , Jian Liu , Jianlin Cheng

The computational investigation of photochemical processes often entails the calculation of excited state geometries, energies, and energy gradients. The nuclear-electronic orbital (NEO) approach treats specified nuclei, typically protons,…

An adaptive kernel method in the Bayesian framework together with a new simulation program for Rutherford backscattering spectroscopy (RBS) have been applied to the analysis of RBS data. Even in the case of strongly overlapping RBS peaks a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 U. V. Toussaint , K. Krieger , R. Fischer , V. Dose

Single Photon Emission Computed Tomography (SPECT) is one of the nuclear medicine imaging modalities used for functional analysis of animal and human organs. Gamma rays emitted from the scanned body are filtered with collimators and…

Image and Video Processing · Electrical Eng. & Systems 2020-12-15 Manu Francis , Muhammed Tarek , Mark Pickering , Murat Tahtali

Cryo-electron tomography (cryo-ET) has emerged as a powerful tool for studying the structural heterogeneity of proteins and their complexes, offering insights into macromolecular dynamics directly within cells. Driven by recent…

Biomolecules · Quantitative Biology 2025-07-01 Jackson Carrion , Joseph H. Davis

The evolutionary trajectory of a protein through sequence space is constrained by function and three-dimensional (3D) structure. Residues in spatial proximity tend to co-evolve, yet attempts to invert the evolutionary record to identify…

Biomolecules · Quantitative Biology 2015-03-13 Debora S. Marks , Lucy J. Colwell , Robert Sheridan , Thomas A. Hopf , Andrea Pagnani , Riccardo Zecchina , Chris Sander

PURPOSE: Deep learning methods for classifying prostate cancer (PCa) in ultrasound images typically employ convolutional networks (CNNs) to detect cancer in small regions of interest (ROI) along a needle trace region. However, this approach…

Application of ensemble of neural networks is becoming an imminent tool for advancing the state-of-the-art in deep reinforcement learning algorithms. However, training these large numbers of neural networks in the ensemble has an…

Machine Learning · Computer Science 2022-05-18 Hassam Sheikh , Kizza Frisbee , Mariano Phielipp

Storage systems have a strong need for substantially improving their error correction capabilities, especially for long-term storage where the accumulating errors can exceed the decoding threshold of error-correcting codes (ECCs). In this…

Information Theory · Computer Science 2018-11-12 Pulakesh Upadhyaya , Anxiao , Jiang

Cryo-electron microscopy (cryo-EM) is a technique for reconstructing the 3-dimensional (3D) structure of biomolecules (especially large protein complexes and molecular assemblies). As the resolution increases to the near-atomic scale,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Weijie Chen , Xinyan Wang , Yuhang Wang

Deep spectral methods reframe the image decomposition process as a graph partitioning task by extracting features using self-supervised learning and utilizing the Laplacian of the affinity matrix to obtain eigensegments. However, instance…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Farnoosh Arefi , Amir M. Mansourian , Shohreh Kasaei

Resonance assignment is a critical first step in the investigation of protein structures using NMR spectroscopy. The development of assignment methods that require less experimental data is possible with prior knowledge of the…

Biomolecules · Quantitative Biology 2019-11-05 P. Shealy , R. Mukhopadhyay , S. Smith , H. Valafar