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This article deals with different generalizations of the discrete stability property. Three possible definitions of discrete stability are introduced, followed by a study of some particular cases of discrete stable distributions and their…

Probability · Mathematics 2015-02-10 Lenka Slámová , Lev B. Klebanov

Consistency, defined as the requirement that a series of measurements of the same project carried out by different raters using the same method should produce similar results, is one of the most important aspects to be taken into account in…

Software Engineering · Computer Science 2007-05-23 R. Asensio Monge , F. Sanchis Marco , F. Torre Cervigon

In this article I propose an approach for defining replicability for prediction rules. Motivated by a recent NAS report, I start from the perspective that replicability is obtaining consistent results across studies suitable to address the…

Methodology · Statistics 2023-05-03 Giovanni Parmigiani

The concept of stability has a long history in the field of dynamical systems: stable invariant objects are the ones that would be expected to be observed in experiments and numerical simulations. Heteroclinic networks are invariant objects…

Dynamical Systems · Mathematics 2025-03-06 Sofia B. S. D. Castro , Claire M. Postlethwaite , Alastair M. Rucklidge

Extensively evaluating the capabilities of (large) language models is difficult. Rapid development of state-of-the-art models induce benchmark saturation, while creating more challenging datasets is labor-intensive. Inspired by the recent…

Computation and Language · Computer Science 2025-06-02 Alan Sun

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

In two earlier papers we derived congruence formats with regard to transition system specifications for weak semantics on the basis of a decomposition method for modal formulas. The idea is that a congruence format for a semantics must…

Logic in Computer Science · Computer Science 2019-08-20 Wan Fokkink , Rob van Glabbeek , Bas Luttik

Over the last thirty years, numerous consistency conditions for replicated data have been proposed and implemented. Popular examples of such conditions include linearizability (or atomicity), sequential consistency, causal consistency, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-23 Roy Friedman , Michel Raynal , François Taïani

The ability to achieve coordinated behavior -- engineered or emergent -- on networked systems has attracted widespread interest over several fields. This interest has led to remarkable advances in developing a theoretical understanding of…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Hancheng Min , Richard Pates , Enrique Mallada

Causal consistency is one of the most adopted consistency criteria for distributed implementations of data structures. It ensures that operations are executed at all sites according to their causal precedence. We address the issue of…

Logic in Computer Science · Computer Science 2016-11-16 Ahmed Bouajjani , Constantin Enea , Rachid Guerraoui , Jad Hamza

Data store replication results in a fundamental trade-off between operation latency and data consistency. In this paper, we examine this trade-off in the context of quorum-replicated data stores. Under partial, or non-strict quorum…

In this paper we quantify the consistency of word usage in written texts represented by complex networks, where words were taken as nodes, by measuring the degree of preservation of the node neighborhood.} Words were considered highly…

Physics and Society · Physics 2013-02-19 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa

Robustness is a correctness notion for concurrent programs running under relaxed consistency models. The task is to check that the relaxed behavior coincides (up to traces) with sequential consistency (SC). Although computationally simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-16 Egor Derevenetc , Roland Meyer , Sebastian Schweizer

We present a novel mathematical framework for the specification and analysis of fault-resilient distributed protocols and their implementations, with the following components: 1. Transition systems that allow the specification and analysis…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-21 Ehud Shapiro

Science is a social process with far-reaching impact on our modern society. In the recent years, for the first time we are able to scientifically study the science itself. This is enabled by massive amounts of data on scientific…

Digital Libraries · Computer Science 2015-05-21 Lovro Šubelj , Marko Bajec , Biljana Mileva Boshkoska , Andrej Kastrin , Zoran Levnajić

The notion of stiffness, which originated in several applications of a different nature, has dominated the activities related to the numerical treatment of differential problems for the last fifty years. Contrary to what usually happens in…

Numerical Analysis · Mathematics 2011-01-24 Luigi Brugnano , Francesca Mazzia , Donato Trigiante

Weak-memory models are standard formal specifications of concurrency across hardware, programming languages, and distributed systems. A fundamental computational problem is consistency testing: is the observed execution of a concurrent…

Programming Languages · Computer Science 2023-11-16 Soham Chakraborty , Shankaranarayanan Krishna , Umang Mathur , Andreas Pavlogiannis

Multimodal learning systems often face substantial uncertainty due to noisy data, low-quality labels, and heterogeneous modality characteristics. These issues become especially critical in human-computer interaction settings, where data…

Artificial Intelligence · Computer Science 2025-11-21 Hyo-Jeong Jang

This work deals with the stability analysis of nonlinear sampled-data systems under nonuniform sampling. It establishes novel relationships between the stability property of the exact discrete-time model for a given sequence of (aperiodic)…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Alexis J. Vallarella , Hernan Haimovich

In this article, we study finite dynamical systems defined over graphs, where the functions are applied asynchronously. Our goal is to quantify and understand stability of the dynamics with respect to the update sequence, and to relate this…

Dynamical Systems · Mathematics 2009-09-10 Matthew Macauley , Henning S. Mortveit
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