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We study $\varepsilon$-stability in continuous logic. We first consider stability in a model, where we obtain a definability of types result with a better approximation than that in the literature. We also prove forking symmetry for…

Logic · Mathematics 2024-11-08 Nicolas Chavarria

Robustness is often regarded as a critical future challenge for real-world applications, where stability is essential. However, as models often learn tasks in a similar order, we hypothesize that easier tasks will be easier regardless of…

Machine Learning · Computer Science 2026-02-04 Shir Ashury-Tahan , Ariel Gera , Elron Bandel , Michal Shmueli-Scheuer , Leshem Choshen

The use of available disturbance predictions within a nominal model predictive control formulation is studied. The main challenge that arises is the loss of recursive feasibility and stability guarantees when a persistent disturbance is…

Systems and Control · Computer Science 2018-07-31 Pablo R Baldivieso-Monasterios , Paul A. Trodden

Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition,…

Optimization and Control · Mathematics 2019-09-18 Saman Cyrus , Laurent Lessard

Updating machine learning models with new information usually improves their predictive performance, yet, in many applications, it is also desirable to avoid changing the model predictions too much. This property is called stability. In…

Machine Learning · Computer Science 2024-02-22 Morten Blørstad , Berent Å. S. Lunde , Nello Blaser

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

Consistency properties of concurrent computations, e.g., sequential consistency, linearizability, or eventual consistency, are essential for devising correct concurrent algorithms. In this paper, we present a logical formalization of such…

Logic in Computer Science · Computer Science 2013-05-13 Klaus v. Gleissenthall , Andrey Rybalchenko

Simulation has played an important role in efficiently evaluating self-driving vehicles in terms of scalability. Existing methods mostly rely on heuristic-based simulation, where traffic participants follow certain human-encoded rules that…

Robotics · Computer Science 2022-08-10 Wei-Jer Chang , Yeping Hu , Chenran Li , Wei Zhan , Masayoshi Tomizuka

Compositionality is thought to be a key component of language, and various compositional benchmarks have been developed to empirically probe the compositional generalization of existing sequence processing models. These benchmarks often…

Machine Learning · Computer Science 2024-05-07 Parikshit Ram , Tim Klinger , Alexander G. Gray

Current machine learning models are evaluated through behavioral snapshots, with benchmark accuracies, win rates and outcome-based metrics. Model explanations and evaluations, however, are fundamentally intertwined: understanding why a…

Computers and Society · Computer Science 2026-05-08 Isabelle Lee , Emmy Liu , Cathy Jiao , Brihi Joshi , Dani Yogatama , Fazl Barez , Michael Saxon

Trusting machine learning algorithms requires having confidence in their outputs. Confidence is typically interpreted in terms of model reliability, where a model is reliable if it produces a high proportion of correct outputs. However,…

Machine Learning · Computer Science 2023-11-01 Jonathan Vandenburgh

To foster trust in machine learning models, explanations must be faithful and stable for consistent insights. Existing relevant works rely on the $\ell_p$ distance for stability assessment, which diverges from human perception. Besides,…

Machine Learning · Computer Science 2024-12-30 Chao Chen , Chenghua Guo , Rufeng Chen , Guixiang Ma , Ming Zeng , Xiangwen Liao , Xi Zhang , Sihong Xie

The structural analysis, i.e., the investigation of the differential-algebraic nature, of circuits containing simple elements, i.e., resistances, inductances and capacitances is well established. However, nowadays circuits contain all sorts…

Numerical Analysis · Mathematics 2019-12-12 Idoia Cortes Garcia , Sebastian Schöps , Christian Strohm , Caren Tischendorf

Mechanistic Interpretability (MI) aims to reverse-engineer model behaviors by identifying functional sub-networks. Yet, the scientific validity of these findings depends on their stability. In this work, we argue that circuit discovery is…

Machine Learning · Computer Science 2026-02-04 Maxime Méloux , François Portet , Maxime Peyrard

Research on bias in machine learning algorithms has generally been concerned with the impact of bias on predictive accuracy. We believe that there are other factors that should also play a role in the evaluation of bias. One such factor is…

Machine Learning · Computer Science 2007-05-23 Peter D. Turney

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

Explainable AI methods facilitate the understanding of model behaviour, yet, small, imperceptible perturbations to inputs can vastly distort explanations. As these explanations are typically evaluated holistically, before model deployment,…

Machine Learning · Computer Science 2024-06-05 Sara Vera Marjanović , Isabelle Augenstein , Christina Lioma

This paper develops a process-based account of scientific explanation that reconceives grounding in terms of stabilisation. Grounding theories capture hierarchical dependence but lack criteria for when explanations remain adequate under…

History and Philosophy of Physics · Physics 2026-01-05 Jonathon Sendall

An algorithm for computing the stable model semantics of logic programs is developed. It is shown that one can extend the semantics and the algorithm to handle new and more expressive types of rules. Emphasis is placed on the use of…

Logic in Computer Science · Computer Science 2007-05-23 Patrik Simons

We say that an algorithm is stable if small changes in the input result in small changes in the output. This kind of algorithm stability is particularly relevant when analyzing and visualizing time-varying data. Stability in general plays…

Data Structures and Algorithms · Computer Science 2025-03-10 Wouter Meulemans , Bettina Speckmann , Kevin Verbeek , Jules Wulms