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The dominant approach to generating from language models subject to some constraint is locally constrained decoding (LCD), incrementally sampling tokens at each time step such that the constraint is never violated. Typically, this is…

Motivated by applications to DNA storage, we study reconstruction and list-reconstruction schemes for integer vectors that suffer from limited-magnitude errors. We characterize the asymptotic size of the intersection of error balls in…

Information Theory · Computer Science 2021-08-24 Hengjia Wei , Moshe Schwartz

We consider the problem of coding for the substring channel, in which information strings are observed only through their (multisets of) substrings. Due to existing DNA sequencing techniques and applications in DNA-based storage systems,…

Information Theory · Computer Science 2024-03-27 Yonatan Yehezkeally , Nikita Polyanskii

DNA-based data storage has been attracting significant attention due to its extremely high data storage density, low power consumption, and long duration compared to conventional data storage media. Despite the recent advancements in DNA…

Information Theory · Computer Science 2024-11-12 Yi Ding , Xuan He , Tuan Thanh Nguyen , Wentu Song , Zohar Yakhini , Eitan Yaakobi , Linqiang Pan , Xiaohu Tang , Kui Cai

Maximum run-length limited codes are constraint codes used in communication and data storage systems. Insertion/deletion correcting codes correct insertion or deletion errors caused in transmitted sequences and are used for combating…

Information Theory · Computer Science 2020-12-29 Reona Takemoto , Takayuki Nozaki

Modern biological science produces vast amounts of genomic sequence data. This is fuelling the need for efficient algorithms for sequence compression and analysis. Data compression and the associated techniques coming from information…

Data Structures and Algorithms · Computer Science 2011-09-05 Heba Afify , Muhammad Islam , Manal Abdel Wahed

As DNA data storage moves closer to practical deployment, minimizing sequencing coverage depth is essential to reduce both operational costs and retrieval latency. This paper addresses the recently studied Random Access Problem, which…

Information Theory · Computer Science 2026-01-13 Chen Wang , Eitan Yaakobi

Generative models can produce synthetic patient records for analytical tasks when real data is unavailable or limited. However, current methods struggle with adhering to domain-specific knowledge and removing invalid data. We present…

Machine Learning · Computer Science 2023-12-22 Brandon Theodorou , Shrusti Jain , Cao Xiao , Jimeng Sun

We present a finite blocklength performance bound for a DNA storage channel with insertions, deletions, and substitutions. The considered bound -- the dependency testing (DT) bound, introduced by Polyanskiy et al. in 2010 -- provides an…

Information Theory · Computer Science 2023-08-07 Issam Maarouf , Gianluigi Liva , Eirik Rosnes , Alexandre Graell i Amat

DNA has immense potential as an emerging data storage medium. The principle of DNA storage is the conversion and flow of digital information between binary code stream, quaternary base, and actual DNA fragments. This process will inevitably…

Information Retrieval · Computer Science 2022-10-21 Yun Qin , Fei Zhu , Bo Xi

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

DNA data storage systems encode digital data into DNA strands, enabling dense and durable storage. Efficient data retrieval depends on coverage depth, a key performance metric. We study the random access coverage depth problem and focus on…

Information Theory · Computer Science 2025-07-29 Şeyma Bodur , Stefano Lia , Hiram H. López , Rati Ludhani , Alberto Ravagnani , Lisa Seccia

This paper focuses on pattern matching in the DNA sequence. It was inspired by a previously reported method that proposes encoding both pattern and sequence using prime numbers. Although fast, the method is limited to rather small pattern…

Computer Vision and Pattern Recognition · Computer Science 2016-11-21 Janja Paliska Soldo , Ana Sovic Krzic , and Damir Sersic

The biochemical processes underlying DNA data storage, including synthesis, amplification, and sequencing, are inherently noisy. Consequently, base-level insertion, deletion, and substitution (IDS) errors, as well as sequence-level…

Information Theory · Computer Science 2026-03-17 Ramy Khabbaz , Jérémy Mateos , Marc Antonini , Serge Kas Hanna

Recent experiments have demonstrated the feasibility of storing digital information in macromolecules such as DNA and protein. However, the DNA storage channel is prone to errors such as deletions, insertions, and substitutions. During the…

Information Theory · Computer Science 2024-10-22 Aryan Abbasian , Mahtab Mirmohseni , Masoumeh Nasiri Kenari

In this review paper, we delve into the nascent field of molecular data storage, focusing on system implementations and code constructions. We start by providing an overview of basic concepts in synthetic and computational biology.…

Emerging Technologies · Computer Science 2023-10-10 Olgica Milenkovic , Chao Pan

The efficient storage of digital data is becoming very challenging over the years due to the exponential increase in the generation of data which can't compete with the existing storage resources. Furthermore, the infrequently accessed data…

Emerging Technologies · Computer Science 2021-03-18 Melpomeni Dimopoulou , Eva Gil San Antonio , Marc Antonini

Biological data mainly comprises of Deoxyribonucleic acid (DNA) and protein sequences. These are the biomolecules which are present in all cells of human beings. Due to the self-replicating property of DNA, it is a key constitute of genetic…

Other Quantitative Biology · Quantitative Biology 2020-06-04 Shakeela Bibi , Javed Iqbal , Adnan Iftekhar , Mir Hassan

Deep neural networks (DNNs) frequently contain far more weights, represented at a higher precision, than are required for the specific task which they are trained to perform. Consequently, they can often be compressed using techniques such…

Machine Learning · Computer Science 2020-12-03 Vinu Joseph , Saurav Muralidharan , Animesh Garg , Michael Garland , Ganesh Gopalakrishnan

Decoding sequences that stem from multiple transmissions of a codeword over an insertion, deletion, and substitution channel is a critical component of efficient deoxyribonucleic acid (DNA) data storage systems. In this paper, we consider a…

Information Theory · Computer Science 2022-09-13 Issam Maarouf , Andreas Lenz , Lorenz Welter , Antonia Wachter-Zeh , Eirik Rosnes , Alexandre Graell i Amat
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