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This paper is dedicated to a robust ordinal method for learning the preferences of a decision maker between subsets. The decision model, derived from Fishburn and LaValle (1996) and whose parameters we learn, is general enough to be…

Artificial Intelligence · Computer Science 2023-08-08 Hugo Gilbert , Mohamed Ouaguenouni , Meltem Ozturk , Olivier Spanjaard

Feedback-based online optimization algorithms have gained traction in recent years because of their simple implementation, their ability to reject disturbances in real time, and their increased robustness to model mismatch. While the…

Optimization and Control · Mathematics 2019-05-20 Marcello Colombino , John W. Simpson-Porco , Andrey Bernstein

Robustness, the insensitivity of some of a biological system's functionalities to a set of distinct conditions, is intimately linked to fitness. Recent studies suggest that it may also play a vital role in enabling the evolution of species.…

Adaptation and Self-Organizing Systems · Physics 2011-12-15 James M Whitacre , Axel Bender

Robust modules guarantee to do only what they are supposed to do - even in the presence of untrusted, malicious clients, and considering not just the direct behaviour of individual methods, but also the emergent behaviour from calls to more…

Programming Languages · Computer Science 2022-09-20 Julian Mackay , Sophia Drossopoulou , James Noble , Susan Eisenbach

Arguably, omega-regular languages play an important role as a specification formalism in many approaches to systems monitoring via runtime verification. However, since their elements are infinite words, not every omega-regular language can…

Formal Languages and Automata Theory · Computer Science 2010-06-21 Andreas Bauer

Godelian sentences of a sufficiently strong and recursively enumerable theory, constructed in Godel's 1931 groundbreaking paper on the incompleteness theorems, are unprovable if the theory is consistent; however, they could be refutable.…

Logic · Mathematics 2022-09-21 Saeed Salehi

Robustness is widely regarded as a fundamental problem in the analysis of machine learning (ML) models. Most often robustness equates with deciding the non-existence of adversarial examples, where adversarial examples denote situations…

Machine Learning · Computer Science 2023-12-19 Yacine Izza , Joao Marques-Silva

Probabilistic omega-automata are variants of nondeterministic automata for infinite words where all choices are resolved by probabilistic distributions. Acceptance of an infinite input word can be defined in different ways: by requiring…

Formal Languages and Automata Theory · Computer Science 2009-07-29 Christel Baier , Nathalie Bertrand , Marcus Größer

Verification of discrete time or continuous time dynamical systems over the reals is known to be undecidable. It is however known that undecidability does not hold for various classes of systems: if robustness is defined as the fact that…

Computational Complexity · Computer Science 2024-02-08 Manon Blanc , Olivier Bournez

Due to the diffusion of IoT, modern software systems are often thought to control and coordinate smart devices in order to manage assets and resources, and to guarantee efficient behaviours. For this class of systems, which interact…

Logic in Computer Science · Computer Science 2024-02-14 Valentina Castiglioni , Michele Loreti , Simone Tini

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

We show that there may exist an inherent tension between the goal of adversarial robustness and that of standard generalization. Specifically, training robust models may not only be more resource-consuming, but also lead to a reduction of…

Machine Learning · Statistics 2019-09-10 Dimitris Tsipras , Shibani Santurkar , Logan Engstrom , Alexander Turner , Aleksander Madry

Persistence and permanence are properties of dynamical systems that describe the long-term behavior of the solutions, and in particular specify whether positive solutions approach the boundary of the positive orthant. Mass-action systems…

Dynamical Systems · Mathematics 2011-03-03 Gheorghe Craciun , Fedor Nazarov , Casian Pantea

We study the robustness of Bayesian persuasion to uncertainty about the receiver's preferences. We analyze two conceptually distinct notions: continuity, in which only the modeler lacks precise knowledge, but where the model's predictions…

Theoretical Economics · Economics 2026-05-28 Ronen Gradwohl , Fengming Hu , Rann Smorodinsky

We introduce highly optimized tolerance (HOT), a mechanism that connects evolving structure and power laws in interconnected systems. HOT systems arise, e.g., in biology and engineering, where design and evolution create complex systems…

Condensed Matter · Physics 2009-10-31 J. M. Carlson , John Doyle

Consider a dynamic network and a given distributed problem. At any point in time, there might exist several solutions that are equally good with respect to the problem specification, but that are different from an algorithmic perspective,…

Data Structures and Algorithms · Computer Science 2023-04-13 Swan Dubois , Laurent Feuilloley , Franck Petit , Mikaël Rabie

The trade-off between robustness and accuracy has been widely studied in the adversarial literature. Although still controversial, the prevailing view is that this trade-off is inherent, either empirically or theoretically. Thus, we dig for…

Machine Learning · Computer Science 2022-06-17 Tianyu Pang , Min Lin , Xiao Yang , Jun Zhu , Shuicheng Yan

We study properties related to relevance in non-monotonic consequence relations obtained by systems of structured argumentation. Relevance desiderata concern the robustness of a consequence relation under the addition of irrelevant…

Artificial Intelligence · Computer Science 2020-05-15 AnneMarie Borg , Christian Straßer

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

We suggest to simulate evolution of complex organisms constrained by the sole requirement of robustness in their expression patterns. This scenario is illustrated by evolving discrete logical networks with epigenetic properties. Evidence…

Statistical Mechanics · Physics 2007-05-23 Stefan Bornholdt , Kim Sneppen