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We generalize the problem of reconstructing strings from their substring compositions first introduced by Acharya et al. in 2015 motivated by polymer-based advanced data storage systems utilizing mass spectrometry. Namely, we see strings as…

Combinatorics · Mathematics 2025-04-02 Antoine Dailly , Tuomo Lehtilä

We present methods for repairing traces against specifications given as temporal behavior trees (TBT). TBT are a specification formalism for action sequences in robotics and cyber-physical systems, where specifications of sub-behaviors,…

Logic in Computer Science · Computer Science 2026-04-21 Sebastian Schirmer , Philipp Schitz , Johann C. Dauer , Bernd Finkbeiner , Sriram Sankaranarayanan

The paper considers the problem of performing a task defined on a model parameter that is only observed indirectly through noisy data in an ill-posed inverse problem. A key aspect is to formalize the steps of reconstruction and task as…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Jonas Adler , Sebastian Lunz , Olivier Verdier , Carola-Bibiane Schönlieb , Ozan Öktem

Developments in machine learning together with the increasing usage of sensor data challenge the reliance on deterministic logs, requiring new process mining solutions for uncertain, and in particular stochastically known, logs. In this…

Machine Learning · Computer Science 2023-07-31 Eli Bogdanov , Izack Cohen , Avigdor Gal

The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and…

Data Analysis, Statistics and Probability · Physics 2017-05-01 Wenxu Wang , Ying-Cheng Lai , Celso Grebogi

In this work, we present a solution to the challenging problem of reconstructing liquids from image data. The challenges in reconstructing liquids, which is not faced in previous reconstruction works on rigid and deforming surfaces, lies in…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 Florian Richter , Ryan K. Orosco , Michael C. Yip

This article is concerned with the derivation of numerical reconstruction schemes for the inverse moving source problem on determining source profiles in (time-fractional) evolution equations. As a continuation of the theoretical result on…

Numerical Analysis · Mathematics 2021-03-26 Yikan Liu

De novo assembly is the process of reconstructing the genome sequence of an organism from sequencing reads. Genome sequences are essential to biology, and assembly has been a central problem in bioinformatics for four decades. Until…

Genomics · Quantitative Biology 2023-08-16 Heng Li , Richard Durbin

Track reconstruction is a vital aspect of High-Energy Physics (HEP) and plays a critical role in major experiments. In this study, we delve into unexplored avenues for particle track reconstruction and hit clustering. Firstly, we enhance…

Regenerating codes are a class of codes proposed for providing reliability of data and efficient repair of failed nodes in distributed storage systems. In this paper, we address the fundamental problem of handling errors and erasures during…

Information Theory · Computer Science 2015-03-20 K. V. Rashmi , Nihar B. Shah , Kannan Ramchandran , P. Vijay Kumar

We investigate the amount of primordial information that can be reconstructed from spectroscopic galaxy surveys, as well as what sets the noise in reconstruction at low wavenumbers, by studying a simplified universe in which galaxies are…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-23 Matthew McQuinn

Reconstructing an image from noisy and incomplete measurements is a central task in several image processing applications. In recent years, state-of-the-art reconstruction methods have been developed based on recent advances in deep…

Computer Vision and Pattern Recognition · Computer Science 2023-04-17 Christoph Angermann , Simon Göppel , Markus Haltmeier

Reconstructing spectral functions from propagator data is difficult as solving the analytic continuation problem or applying an inverse integral transformation are ill-conditioned problems. Recent work has proposed using neural networks to…

High Energy Physics - Lattice · Physics 2022-12-26 Thibault Lechien , David Dudal

In most safety-critical domains the need for traceability is prescribed by certifying bodies. Trace links are generally created among requirements, design, source code, test cases and other artifacts, however, creating such links manually…

Software Engineering · Computer Science 2018-04-10 Jin Guo , Jinghui Cheng , Jane Cleland-Huang

With recent progress in deep generative models, the problem of identifying synthetic data and comparing their underlying generative processes has become an imperative task for various reasons, including fighting visual misinformation and…

Machine Learning · Computer Science 2022-06-07 Hae Jin Song , Wael AbdAlmageed

Assume you encounter an inverse problem that shall be solved for a large number of data, but no ground-truth data is available. To emulate this encounter, in this study, we assume it is unknown how to solve the imaging problem of Computed…

Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical reconstruction method and then apply a neural network to improve…

Numerical Analysis · Mathematics 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

The growing adoption of IT-systems for modeling and executing (business) processes or services has thrust the scientific investigation towards techniques and tools which support more complex forms of process analysis. Many of them, such as…

Artificial Intelligence · Computer Science 2017-06-02 Riccardo De Masellis , Chiara Di Francescomarino , Chiara Ghidini , Sergio Tessaris

A method based on mapping a symbolic sequence into a set of patterns (strings resulting from the sequence parsing) is proposed as a tool for the reconstruction of ancestral sequences. The set union of patterns comprises all the patterns…

Genomics · Quantitative Biology 2015-04-16 Bohdan Kozarzewski

Gene finding is the task of identifying the locations of coding sequences within the vast amount of genetic code contained in the genome. With an ever increasing quantity of raw genome sequences, gene finding is an important avenue towards…

Genomics · Quantitative Biology 2025-05-07 Frederikke I. Marin , Dennis Pultz , Wouter Boomsma
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