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When using graphs and graph transformations to model systems, consistency is an important concern. While consistency has primarily been viewed as a binary property, i.e., a graph is consistent or inconsistent with respect to a set of…

Software Engineering · Computer Science 2026-03-11 Lars Fritsche , Alexander Lauer , Maximilian Kratz , Andy Schürr , Gabriele Taentzer

We investigate an application of a mathematically robust minimization method -- the gradient method -- to the consistencization problem of a pairwise comparisons (PC) matrix. Our approach sheds new light on the notion of a priority vector…

Rings and Algebras · Mathematics 2022-07-19 Jean-Pierre Magnot , Jiří Mazurek , Viera Čerňanová

We introduce a neural network architecture to solve inverse problems linked to a one-dimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function…

Optimization and Control · Mathematics 2021-06-01 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

Recognizing symmetries in data allows for significant boosts in neural network training, which is especially important where training data are limited. In many cases, however, the exact underlying symmetry is present only in an idealized…

High Energy Physics - Phenomenology · Physics 2025-04-07 Seth Nabat , Aishik Ghosh , Edmund Witkowski , Gregor Kasieczka , Daniel Whiteson

Anomaly detection is defined as the problem of finding data points that do not follow the patterns of the majority. Among the various proposed methods for solving this problem, classification-based methods, including one-class Support…

Optimization and Control · Mathematics 2023-12-05 Amir Hossein Noormohammadia , Seyed Ali MirHassania , Farnaz Hooshmand Khaligh

The problem of demand inversion - a crucial step in the estimation of random utility discrete-choice models - is equivalent to the determination of stable outcomes in two-sided matching models. This equivalence applies to random utility…

Econometrics · Economics 2021-11-30 Odran Bonnet , Alfred Galichon , Yu-Wei Hsieh , Keith O'Hara , Matt Shum

We examine the problem of allocating a given total storage budget in a distributed storage system for maximum reliability. A source has a single data object that is to be coded and stored over a set of storage nodes; it is allowed to store…

Information Theory · Computer Science 2016-11-15 Derek Leong , Alexandros G. Dimakis , Tracey Ho

The most fundamental model of a molecule is a cloud of unordered atoms, even without chemical bonds that can depend on thresholds for distances and angles. The strongest equivalence between clouds of atoms is rigid motion, which is a…

Computational Geometry · Computer Science 2023-11-01 Vitaliy Kurlin

Uncertainty quantification for full-waveform inversion provides a probabilistic characterization of the ill-conditioning of the problem, comprising the sensitivity of the solution with respect to the starting model and data noise. This…

Geophysics · Physics 2020-04-20 Gabrio Rizzuti , Ali Siahkoohi , Philipp A. Witte , Felix J. Herrmann

For text retrieval systems, the assumption that all data structures reside in main memory is increasingly common. In this context, we present a novel incremental inverted indexing algorithm for web-scale collections that directly constructs…

Information Retrieval · Computer Science 2013-05-06 Nima Asadi , Jimmy Lin

Data integration is a notoriously difficult and heuristic-driven process, especially when ground-truth data are not readily available. This paper presents a measure of uncertainty by providing maximal and minimal ranges of a query outcome…

Databases · Computer Science 2023-09-12 Deniz Turkcapar , Sanjay Krishnan

For numerous parameter and state estimation problems, assimilating new data as they become available can help produce accurate and fast inference of unknown quantities. While most existing algorithms for solving those kind of ill-posed…

Numerical Analysis · Mathematics 2022-07-28 Neil K. Chada , Marco A. Iglesias , Shuai Lu , Frank Werner

Mixture models have received considerable attention recently and Newton [Sankhy\={a} Ser. A 64 (2002) 306--322] proposed a fast recursive algorithm for estimating a mixing distribution. We prove almost sure consistency of this recursive…

Statistics Theory · Mathematics 2009-08-25 Surya T. Tokdar , Ryan Martin , Jayanta K. Ghosh

Consistent hashing is a technique for distributing data across a network of nodes in a way that minimizes reorganization when nodes join or leave the network. It is extensively applied in modern distributed systems as a fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Massimo Coluzzi , Amos Brocco , Alessandro Antonucci , Tiziano Leidi

The majority of modern systems exhibit sophisticated concurrent behaviour, where several system components modify and observe the system state with fine-grained atomicity. Many systems (e.g., multi-core processors, real-time controllers)…

Logic in Computer Science · Computer Science 2013-05-28 Brijesh Dongol , John Derrick

Coherence is a basic phenomenon in quantum mechanics and considered to be an essential resource in quantum information processing. Although the quantification of coherence has attracted a lot of interest, the lack of efficient methods to…

Quantum Physics · Physics 2019-06-18 Xiao-Dong Yu , Otfried Gühne

The article presents a systematic review of the results of the development of the theoretical basis and the pilot implementation of data storage technology with automatic replenishment of data from sources belonging to different thematic…

Databases · Computer Science 2021-03-30 V. K. Ivanov

There has recently been renewed recognition of the need to understand the consistency properties that must be preserved when a generalized matrix inverse is required. The most widely known generalized inverse, the Moore-Penrose…

Numerical Analysis · Computer Science 2018-08-03 Jeffrey Uhlmann

We investigate the problem of inconsistency measurement on large knowledge bases by considering stream-based inconsistency measurement, i.e., we investigate inconsistency measures that cannot consider a knowledge base as a whole but process…

Artificial Intelligence · Computer Science 2015-05-21 Matthias Thimm

Inverse problems exist in a wide variety of physical domains from aerospace engineering to medical imaging. The goal is to infer the underlying state from a set of observations. When the forward model that produced the observations is…

Machine Learning · Computer Science 2023-01-06 Chelsea Sidrane , Sydney Katz , Anthony Corso , Mykel J. Kochenderfer