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We present a novel framework for pricing waterfall structures by simulating the uncertainty of the cashflow generated by the underlying assets in terms of value, time, and confidence levels. Our approach incorporates various probability…

Pricing of Securities · Quantitative Finance 2025-07-18 Nicola Jean , Giacomo Le Pera , Lorenzo Giada , Claudio Nordio

Various subsystems of the Earth system may undergo critical transitions by passing a so-called tipping point, under sustained changes to forcing. For example, the Atlantic Meridional Overturning Circulation (AMOC) is of particular…

Atmospheric and Oceanic Physics · Physics 2021-11-01 Kerstin Lux , Peter Ashwin , Richard Wood , Christian Kuehn

Safe autonomous navigation is an essential and challenging problem for robots operating in highly unstructured or completely unknown environments. Under these conditions, not only robotic systems must deal with limited localisation…

Robotics · Computer Science 2020-05-27 Èric Pairet , Juan David Hernández , Marc Carreras , Yvan Petillot , Morteza Lahijanian

FEARLESS (Fluid mEchanics with Adaptively Refined Large Eddy SimulationS) is a new numerical scheme arising from the combined use of subgrid scale (SGS) model for turbulence at the unresolved length scales and adaptive mesh refinement (AMR)…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 L. Iapichino , A. Maier , W. Schmidt , J. C. Niemeyer

Fatal accidents are a major issue hindering the wide acceptance of safety-critical systems using machine-learning and deep-learning models, such as automated-driving vehicles. Quality assurance frameworks are required for such machine…

Computers and Society · Computer Science 2018-12-10 Hiroshi Kuwajima , Hirotoshi Yasuoka , Toshihiro Nakae

Empowering large language models to accurately express confidence in their answers is essential for trustworthy decision-making. Previous confidence elicitation methods, which primarily rely on white-box access to internal model information…

Computation and Language · Computer Science 2024-03-19 Miao Xiong , Zhiyuan Hu , Xinyang Lu , Yifei Li , Jie Fu , Junxian He , Bryan Hooi

We present release 2.0 of the ALPS (Algorithms and Libraries for Physics Simulations) project, an open source software project to develop libraries and application programs for the simulation of strongly correlated quantum lattice models…

Uncertainty propagation in high-dimensional nonlinear dynamic structural systems is pivotal in state-of-the-art performance-based design and risk assessment, where uncertainties from both excitations and structures, i.e., the aleatoric…

Machine Learning · Computer Science 2026-04-03 Manisha Sapkota , Min Li , Bowei Li

We present a method for systematically evaluating the correctness and robustness of instruction-tuned large language models (LLMs) for code generation via a new benchmark, Turbulence. Turbulence consists of a large set of natural language…

Software Engineering · Computer Science 2025-01-28 Shahin Honarvar , Mark van der Wilk , Alastair Donaldson

This paper proposes a mechanism to fine-tune convex approximations of probabilistic reachable sets (PRS) of uncertain dynamic systems. We consider the case of unbounded uncertainties, for which it may be impossible to find a bounded…

Robotics · Computer Science 2024-02-06 Pengcheng Wu , Sonia Martinez , Jun Chen

As machine learning becomes increasingly prevalent in critical fields such as healthcare, ensuring the safety and reliability of machine learning systems becomes paramount. A key component of reliability is the ability to estimate…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Elisabeth R. M. Heremans , Nabeel Seedat , Bertien Buyse , Dries Testelmans , Mihaela van der Schaar , Maarten De Vos

Industrial applications frequently pose a notorious challenge for state-of-the-art methods in the contexts of optimization, designing experiments and modeling unknown physical response. This problem is aggravated by limited availability of…

As the development of Large Models (LMs) progresses rapidly, their safety is also a priority. In current Large Language Models (LLMs) and Multimodal Large Language Models (MLLMs) safety workflow, evaluation, diagnosis, and alignment are…

It is no secret that many projects fail, regardless of the business sector, software projects are notoriously disaster victims, not necessarily because of technological failure, but more often due to their uncertainties. The threats…

Software Engineering · Computer Science 2014-12-12 Marcelo Marinho , Suzana Sampaio , Telma Lima , Hermano Moura

Modern coordinate measurement machines (CMM) are universal tools to measure geometric features of complex three-dimensional workpieces. To use them as reliable means of quality control, the suitability of the device for the specific…

Instrumentation and Detectors · Physics 2019-07-25 Daniel Heißelmann , Matthias Franke , Kerstin Rost , Klaus Wendt , Thomas Kistner , Carsten Schwehn

As society becomes increasingly reliant on artificial intelligence, the need to mitigate risk and harm is paramount. In response, researchers and practitioners have developed tools to detect and reduce undesired bias, commonly referred to…

Software Engineering · Computer Science 2025-05-16 Sadia Afrin Mim , Fatemeh Vares , Andrew Meenly , Brittany Johnson

Large Language Models (LLMs) have become indispensable tools across various applications, making it more important than ever to ensure the quality and the trustworthiness of their outputs. This has led to growing interest in uncertainty…

Computation and Language · Computer Science 2025-09-26 Roman Vashurin , Maiya Goloburda , Preslav Nakov , Maxim Panov

With the increasing amount of data and use of computation in science, software has become an important component in many different domains. Computing is now being used more often and in more aspects of scientific work including data…

Software Engineering · Computer Science 2013-12-17 David Koop , Juliana Freire , Claudio T. Silva

Autonomous vehicles have to navigate the surrounding environment with partial observability of other objects sharing the road. Sources of uncertainty in autonomous vehicle measurements include sensor fusion errors, limited sensor range due…

Artificial Intelligence · Computer Science 2018-12-05 Mohammad Naghshvar , Ahmed K. Sadek , Auke J. Wiggers

Turbulence remains one of the last unresolved problems of classical physics and a major bottleneck to accurate flow prediction in climate, aerospace, and energy systems. Industrial simulations therefore rely on averaged representations of…

Fluid Dynamics · Physics 2026-05-18 Zhuoran Liu , Haochen Wang , Zhuolin Zhao , Heng Xiao