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Error-correcting codes are a method for representing data, so that one can recover the original information even if some parts of it were corrupted. The basic idea, which dates back to the revolutionary work of Shannon and Hamming about a…

Information Theory · Computer Science 2026-03-05 Mrinal Kumar , Noga Ron-Zewi

Large Transformer models routinely achieve state-of-the-art results on a number of tasks but training these models can be prohibitively costly, especially on long sequences. We introduce two techniques to improve the efficiency of…

Machine Learning · Computer Science 2020-02-19 Nikita Kitaev , Łukasz Kaiser , Anselm Levskaya

This paper reviews strategies for solving problems encountered when analyzing large genomic data sets and describes the implementation of those strategies in R by packages from the Bioconductor project. We treat the scalable processing,…

Genomics · Quantitative Biology 2014-09-11 Michael Lawrence , Martin Morgan

Various methods have been developed to analyze the association between organisms and their genomic sequences. Among them, sequence alignment is the most frequently used for comparative analysis of biological genomes. However, the…

Quantitative Methods · Quantitative Biology 2020-10-27 Yong Joon Song , Dong Jin Ji , Hye In Seo , Gyu Bum Han , Dong Ho Cho

In [1], the authors proposed a new model of DNA storage system that integrates all three steps of retrieval and introduced the concept of DNA-correcting codes, which guarantees that the output of the storage system can be decoded to the…

Information Theory · Computer Science 2023-11-17 Huawei Wu

Quantile regression is a powerful tool for robust and heterogeneous learning that has seen applications in a diverse range of applied areas. However, its broader application is often hindered by the substantial computational demands arising…

Machine Learning · Statistics 2025-08-13 Qian Tang , Yuwen Gu , Boxiang Wang

Cancer and its subtypes constitute approximately 30% of all causes of death globally and display a wide range of heterogeneity in terms of clinical and molecular responses to therapy. Molecular subtyping has enabled the use of precision…

Quantitative Methods · Quantitative Biology 2024-07-11 Anwar Khan , Boreom Lee

Developing computational tools for integrative analysis across multiple types of omics data has been of immense importance in cancer molecular biology and precision medicine research. While recent advancements have yielded integrative…

Iterative Refinement (IR) is a classical computing technique for obtaining highly precise solutions to linear systems of equations, as well as linear optimization problems. In this paper, motivated by the limited precision of quantum…

Optimization and Control · Mathematics 2023-12-19 Mohammadhossein Mohammadisiahroudi , Brandon Augustino , Pouya Sampourmahani , Tamás Terlaky

Learning in the reproducing kernel Hilbert space (RKHS) such as the support vector machine has been recognized as a promising technique. It continues to be highly effective and competitive in numerous prediction tasks, particularly in…

Machine Learning · Computer Science 2025-01-15 Gakuto Obi , Ayato Saito , Yuto Sasaki , Tsuyoshi Kato

It has been verified that the linear programming (LP) is able to formulate many real-life optimization problems, which can obtain the optimum by resorting to corresponding solvers such as OptVerse, Gurobi and CPLEX. In the past decades, a…

Optimization and Control · Mathematics 2022-01-19 Xijun Li , Qingyu Qu , Fangzhou Zhu , Jia Zeng , Mingxuan Yuan , Kun Mao , Jie Wang

Quantum computers could solve problems beyond the reach of classical devices, but this potential depends on quantum error correction (QEC) to protect fragile quantum states from noise. A central challenge in QEC is decoding: inferring…

Quantum Physics · Physics 2026-04-28 Tianyi Xu , Qinglong Liu , Maolin Wang , Fei Zhang , Zhe Zhao , Yang Wang , Ye Wei

The cyclically equivariant neural decoder was recently proposed in [Chen-Ye, International Conference on Machine Learning, 2021] to decode cyclic codes. In the same paper, a list decoding procedure was also introduced for two widely used…

Information Theory · Computer Science 2021-06-16 Xiangyu Chen , Min Ye

A new method to identify all sufficiently long repeating substrings in one or several symbol sequences is proposed. The method is based on a specific gauge applied to symbol sequences that guarantees identification of the repeating…

Genomics · Quantitative Biology 2016-04-07 Sergey Tsarev , Michael Sadovsky

Genome annotation is essential for understanding the functional elements within genomes. While automated methods are indispensable for processing large-scale genomic data, they often face challenges in accurately predicting gene structures…

Genomics · Quantitative Biology 2025-04-01 Xiaomei Li , Alex Whan , Meredith McNeil , David Starns , Jessica Irons , Samuel C. Andrew , Rad Suchecki

Genome sequence analysis plays a pivotal role in enabling many medical and scientific advancements in personalized medicine, outbreak tracing, and forensics. However, the analysis of genome sequencing data is currently bottlenecked by the…

Hardware Architecture · Computer Science 2021-11-04 Damla Senol Cali

Motion correction (MoCo) in radial MRI is a particularly challenging problem due to the unpredictability of subject movement. Current state-of-the-art (SOTA) MoCo algorithms often rely on extensive high-quality MR images to pre-train neural…

Image and Video Processing · Electrical Eng. & Systems 2025-07-16 Qing Wu , Chenhe Du , Xuanyu Tian , Jingyi Yu , Yuyao Zhang , Hongjiang Wei

Modern DNA sequencing technologies enable geneticists to rapidly identify genetic variation among many human genomes. However, isolating the minority of variants underlying disease remains an important, yet formidable challenge for medical…

Genomics · Quantitative Biology 2015-06-15 Uma Paila , Brad Chapman , Rory Kirchner , Aaron Quinlan

In this paper, we propose a new method for the augmentation of numeric and mixed datasets. The method generates additional data points by utilizing cross-validation resampling and latent variable modeling. It is particularly efficient for…

Machine Learning · Computer Science 2023-12-11 Sergey Kucheryavskiy , Sergei Zhilin

Magnetic resonance imaging (MRI) is a crucial medical imaging modality. However, long acquisition times remain a significant challenge, leading to increased costs, and reduced patient comfort. Recent studies have shown the potential of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Amirmohammad Shamaei , Alexander Stebner , Salome , Bosshart , Johanna Ospel , Gouri Ginde , Mariana Bento , Roberto Souza