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Modeling is a central concern in both science and engineering. However, we need a new fundamental theory to address the challenges of the digital age. In this paper, we first explain why modeling is fundamental and which challenges must be…

Software Engineering · Computer Science 2025-08-28 Peter Fettke , Wolfgang Reisig

Magnet stability and reproducibility have become increasingly important as greater precision and beams with smaller dimension are required for research, medical and other purpose. The observed causes of mechanical and electrical instability…

Accelerator Physics · Physics 2011-03-09 N. Marks

Given a power grid and a transmission (coupling) strength, basin stability is a measure of synchronization stability for individual nodes. Earlier studies have focused on the basin stability's dependence of the position of the nodes in the…

Chaotic Dynamics · Physics 2016-07-01 Heetae Kim , Sang Hoon Lee , Petter Holme

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

Artificial Intelligence · Computer Science 2012-07-19 Leila Amgoud , Henri Prade

An explanation for the political processes leading to the sudden collapse of empires and states would be useful for understanding both historical and contemporary political events. We seek a general description of state collapse spanning…

Physics and Society · Physics 2015-06-16 Daniel John Lawson , Neeraj Oak

We argue that robustness of explanations---i.e., that similar inputs should give rise to similar explanations---is a key desideratum for interpretability. We introduce metrics to quantify robustness and demonstrate that current methods do…

Machine Learning · Computer Science 2018-06-22 David Alvarez-Melis , Tommi S. Jaakkola

Many set theorists point to the linearity phenomenon in the hierarchy of consistency strength, by which natural theories tend to be linearly ordered and indeed well ordered by consistency strength. Why should it be linear? In this paper I…

Logic · Mathematics 2022-08-29 Joel David Hamkins

Short answer: Yes, Long answer: No! Indeed, research on adversarial robustness has led to invaluable insights helping us understand and explore different aspects of the problem. Many attacks and defenses have been proposed over the last…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Ali Borji

Faithful explanations are essential for machine learning models in high-stakes applications. Inherently interpretable models are well-suited for these applications because they naturally provide faithful explanations by revealing their…

Machine Learning · Computer Science 2025-02-28 Chudi Zhong , Panyu Chen , Cynthia Rudin

Here we briefly reflect on the philosophical foundations that ground the quest towards ever-detailed models and identify four practical dangers derived from this pursuit: explosion of the model's uncertainty space, model black-boxing,…

General Literature · Computer Science 2022-11-01 Arnald Puy , Andrea Saltelli

The persistent challenge of formulating ontic structuralism in a rigorous manner, which prioritizes structures over the entities they contain, calls for a transformation of traditional logical frameworks. I argue that Univalent Foundations…

History and Philosophy of Physics · Physics 2024-07-22 Lu Chen

Performing dependability evaluation along with other analyses at architectural level allows both making architectural tradeoffs and predicting the effects of architectural decisions on the dependability of an application. This paper gives…

Software Engineering · Computer Science 2008-09-25 Ana-Elena Rugina , Peter H. Feiler , Karama Kanoun , Mohamed Kaaniche

The relationship between overparameterization, stability, and generalization remains incompletely understood in the setting of discontinuous classifiers. We address this gap by establishing a generalization bound for finite function classes…

Machine Learning · Computer Science 2026-03-04 Jonas von Berg , Adalbert Fono , Massimiliano Datres , Sohir Maskey , Gitta Kutyniok

Sensor-driven systems are increasingly ubiquitous: they provide both data and information that can facilitate real-time decision-making and autonomous actuation, as well as enabling informed policy choices by service providers and…

Software Engineering · Computer Science 2019-02-07 Muffy Calder , Simon Dobson , Michael Fisher , Julie McCann

Conventional approaches to grasp planning require perfect knowledge of an object's pose and geometry. Uncertainties in these quantities induce uncertainties in the quality of planned grasps, which can lead to failure. Classically, grasp…

Robotics · Computer Science 2024-08-30 Albert H. Li , Preston Culbertson , Aaron D. Ames

We develop foundational aspects of stability theory in affine logic. On the one hand, we prove appropriate affine versions of many classical results, including definability of types, existence of non-forking extensions, and other…

Logic · Mathematics 2026-03-11 Itaï Ben Yaacov , Tomás Ibarlucía

The rock heterogeneity exists widely in fault zones; however, the intrinsic mechanism of how it affects the mechanical behavior of faults is poorly understood. To develop a quantitative understanding of the effect of the rock heterogeneity…

Geophysics · Physics 2023-11-29 Shaobo Han , Xiaoying Zhuang , Quanzhou Yao , Qianlong Zhou , Xiaodong Hu

Accountability aims to provide explanations for why unwanted situations occurred, thus providing means to assign responsibility and liability. As such, accountability has slightly different meanings across the sciences. In computer science,…

Computers and Society · Computer Science 2016-08-30 Severin Kacianka , Florian Kelbert , Alexander Pretschner

Sea-levels are rising in many areas around the world, posing risks to coastal communities and infrastructures. Strategies for managing these flood risks present decision challenges that require a combination of geophysical, economic, and…

Constructed facilities should be robust with respect to the loss of load-bearing elements due to abnormal events. Yet, strengthening structures to withstand such damage has a significant impact on construction costs. Strengthening costs…

Systems and Control · Electrical Eng. & Systems 2022-02-01 Andre T. Beck , Lucas da Rosa Ribeiro , Marcos Valdebenito , Hector Jensen