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This paper introduces a new family of reconstruction codes which is motivated by applications in DNA data storage and sequencing. In such applications, DNA strands are sequenced by reading some subset of their substrings. While previous…

Information Theory · Computer Science 2023-04-21 Yonatan Yehezkeally , Daniella Bar-Lev , Sagi Marcovich , Eitan Yaakobi

We consider the problem of reconstructing graphs or labeled graphs from neighborhoods of a given radius r. Special instances of this problem include the well known: DNA shotgun assembly; the lesser-known: neural network reconstruction; and…

Probability · Mathematics 2022-08-19 Elchanan Mossel , Nathan Ross

In this paper, we study the parallel query complexity of reconstructing biological and digital phylogenetic trees from simple queries involving their nodes. This is motivated from computational biology, data protection, and computer…

Data Structures and Algorithms · Computer Science 2020-09-10 Ramtin Afshar , Michael T. Goodrich , Pedro Matias , Martha C. Osegueda

We introduce a new algorithm called {\sc Rec-Gen} for reconstructing the genealogy or \textit{pedigree} of an extant population purely from its genetic data. We justify our approach by giving a mathematical proof of the effectiveness of…

Data Structures and Algorithms · Computer Science 2020-05-11 Younhun Kim , Elchanan Mossel , Govind Ramnarayan , Paxton Turner

The magnetic inverse source problem of reconstructing the positions and currents of very long parallel conductors is considered in a two-dimensional situation, with applications to power line measurements. The input data is the magnetic…

Mathematical Physics · Physics 2013-02-27 Martin Norgren

Due to its longevity and enormous information density, DNA is an attractive medium for archival data storage. Thanks to rapid technological advances, DNA storage is becoming practically feasible, as demonstrated by a number of experimental…

Information Theory · Computer Science 2022-11-11 Ilan Shomorony , Reinhard Heckel

In the trace reconstruction problem, one attempts to reconstruct a fixed but unknown string $x$ of length $n$ from a given number of traces $\tilde{x}$ drawn iid from the application of a noisy process (such as the deletion channel) to $x$.…

Data Structures and Algorithms · Computer Science 2024-10-17 Ittai Rubinstein

A tandem duplication denotes the process of inserting a copy of a segment of DNA adjacent to its original position. More formally, a tandem duplication can be thought of as an operation that converts a string $S = AXB$ into a string $T =…

Computational Complexity · Computer Science 2021-03-16 Ferdinando Cicalese , Nicolò Pilati

Motivated by the sequence reconstruction problem initiated by Levenshtein, reconstruction codes were introduced by Cai \emph{et al}. to combat errors when a fixed number of noisy channels are available. The central problem on this topic is…

Information Theory · Computer Science 2022-07-05 Rongsheng Wu , Xiande Zhang

To address a looming crisis of unreproducible evaluation for named entity recognition, we propose guidelines and introduce SeqScore, a software package to improve reproducibility. The guidelines we propose are extremely simple and center…

Computation and Language · Computer Science 2021-11-08 Chester Palen-Michel , Nolan Holley , Constantine Lignos

In molecular phylogeny, relationships among organisms are reconstructed using DNA or protein sequences and are displayed as trees. A linear increase in the number of sequences results in an exponential increase of possible trees. Thus,…

Genomics · Quantitative Biology 2007-05-23 Kerstin Hoef-Emden

The reconstruction of transmission trees for epidemics from genetic data has been the subject of some recent interest. It has been demonstrated that the transmission tree structure can be investigated by augmenting internal nodes of a…

Populations and Evolution · Quantitative Biology 2016-01-07 Matthew Hall , Andrew Rambaut

Particle tracking in biological imaging is concerned with reconstructing the trajectories, locations, or velocities of the targeting particles. The standard approach of particle tracking consists of two steps: first reconstructing…

Signal Processing · Electrical Eng. & Systems 2022-04-11 Ping Liu , Habib Ammari

The {\em insertion-deletion channel} takes as input a binary string $x \in\{0, 1\}^n$, and outputs a string $\widetilde{x}$ where some of the bits have been deleted and others inserted independently at random. In the {\em trace…

Information Theory · Computer Science 2022-08-15 Ittai Rubinstein

One of the defining features of living systems is their adaptability to changing environmental conditions. This requires organisms to extract temporal and spatial features of their environment, and use that information to compute the…

Neurons and Cognition · Quantitative Biology 2024-02-27 Maria Sol Vidal-Saez , Oscar Vilarroya , Jordi Garcia-Ojalvo

The idea of computing with DNA was given by Tom Head in 1987, however in 1994 in a seminal paper, the actual successful experiment for DNA computing was performed by Adleman. The heart of the DNA computing is the DNA hybridization, however,…

Information Theory · Computer Science 2016-07-04 Dixita Limbachiya , Bansari Rao , Manish K. Gupta

The reconstruction of phylogenies from DNA or protein sequences is a major task of computational evolutionary biology. Common phenomena, notably variations in mutation rates across genomes and incongruences between gene lineage histories,…

Probability · Mathematics 2012-11-30 Elchanan Mossel , Sebastien Roch

Most of the fastest-growing string collections today are repetitive, that is, most of the constituent documents are similar to many others. As these collections keep growing, a key approach to handling them is to exploit their…

Information Retrieval · Computer Science 2017-05-22 Travis Gagie , Aleksi Hartikainen , Kalle Karhu , Juha Kärkkäinen , Gonzalo Navarro , Simon J. Puglisi , Jouni Sirén

Reconstruction of gene regulatory networks or 'reverse-engineering' is a process of identifying gene interaction networks from experimental microarray gene expression profile through computation techniques. In this paper, we tried to…

Computational Engineering, Finance, and Science · Computer Science 2014-08-25 Khalid Raza , Rafat Parveen

DNA replication stands as one of the fundamental biological processes crucial for cellular functioning. Recent experimental developments enable the study of replication dynamics at the single-molecule level for complete genomes,…

Optimization and Control · Mathematics 2024-11-22 Clara Lage , Nelly Pustelnik , Benjamin Audit , Jean-Michel Arbona , Rémi Gribonval