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The ability to develop or evolve software or software-based systems/services with defined and guaranteed quality in a predictable way is becoming increasingly important. Essential - though not exclusive - prerequisites for this are the…

Predictive multiplicity occurs when classification models with statistically indistinguishable performances assign conflicting predictions to individual samples. When used for decision-making in applications of consequence (e.g., lending,…

机器学习 · 计算机科学 2022-10-21 Hsiang Hsu , Flavio du Pin Calmon

Computational models in chemistry rely on a number of approximations. The effect of such approximations on observables derived from them is often unpredictable. Therefore, it is challenging to quantify the uncertainty of a computational…

化学物理 · 物理学 2017-04-21 Gregor N. Simm , Jonny Proppe , Markus Reiher

We point out a general framework that encompasses most cases in which quantum effects enable an increase in precision when estimating a parameter (quantum metrology). The typical quantum precision-enhancement is of the order of the square…

量子物理 · 物理学 2009-11-11 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

Methods of general applicability are searched for in swarm intelligence with the aim of gaining new insights about natural swarms and to develop design methodologies for artificial swarms. An ideal solution could be a `swarm calculus' that…

神经与进化计算 · 计算机科学 2013-03-19 Heiko Hamann

Uncertainty quantification of complex technical systems is often based on a computer model of the system. As all models such a computer model is always wrong in the sense that it does not describe the reality perfectly. The purpose of this…

系统与控制 · 电气工程与系统科学 2020-12-18 Sebastian Kersting , Michael Kohler

Discrete-time random walks and their extensions are common tools for analyzing animal movement data. In these analyses, resolution of temporal discretization is a critical feature. Ideally, a model both mirrors the relevant temporal scale…

定量方法 · 定量生物学 2015-08-27 Ulrike E. Schlägel , Mark A. Lewis

Efficient methods for characterizing the performance of quantum measurements are important in the experimental quantum sciences. Ideally, one requires both a physically relevant distinguishability measure between measurement operations and…

量子物理 · 物理学 2015-06-12 Easwar Magesan , Paola Cappellaro

To describe certain facets of non-classicality, it is necessary to quantify properties of operations instead of states. This is the case if one wants to quantify how well an operation detects non-classicality, which is a necessary…

量子物理 · 物理学 2019-05-22 Thomas Theurer , Dario Egloff , Lijian Zhang , Martin B. Plenio

This paper is concerned with a simulation study for a stochastic production network model, where the capacities of machines may change randomly. We introduce performance measures motivated by risk measures from finance leading to a…

最优化与控制 · 数学 2019-05-14 Simone Göttlich , Stephan Knapp

Quantum instruments describe both the classical output and the updated quantum state in a measurement process. To do this in a non-trivial way, instruments must have the capability to interact coherently with the state that they measure.…

量子物理 · 物理学 2026-03-31 Chung-Yun Hsieh , Armin Tavakoli , Huan-Yu Ku , Paul Skrzypczyk

Increasingly sophisticated programmable quantum simulators and quantum computers are opening unprecedented opportunities for exploring and exploiting the properties of highly entangled complex quantum systems. The complexity of large…

The difficulty in manipulating quantum resources deterministically often necessitates the use of probabilistic protocols, but the characterization of their capabilities and limitations has been lacking. We develop a general approach to this…

量子物理 · 物理学 2022-03-22 Bartosz Regula

To quantify single mode nonclassicality, we start from an operational approach. A positive semi-definite observable is introduced to describe a measurement setup. The quantification is based on the negativity of the normally ordered version…

量子物理 · 物理学 2012-11-29 C. Gehrke , J. Sperling , W. Vogel

We propose a novel modular debiasing technique applicable to any discrete random source, addressing the fundamental challenge of reliably extracting high-quality randomness from inherently imperfect physical processes. The method involves…

数据分析、统计与概率 · 物理学 2025-05-12 Eduardo Gueron

Energy systems modellers often resort to simplified system representations and deterministic model formulations (i.e., not considering uncertainty) to preserve computational tractability. However, reduced levels of detail and neglected…

物理与社会 · 物理学 2022-08-18 Maria Yliruka , Stefano Moret , Nilay Shah

In this research, starting from a widely accepted definition of risk, we support the idea that risk reduction is a more realistic objective than risk minimization, which represents a theoretical utopia. Furthermore, significant risk…

风险管理 · 定量金融 2026-05-01 Pierpaolo Uberti

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states which are free (because they can be…

量子物理 · 物理学 2015-06-11 Michał Horodecki , Jonathan Oppenheim

A central problem in uncertainty quantification is how to characterize the impact that our incomplete knowledge about models has on the predictions we make from them. This question naturally lends itself to a probabilistic formulation, by…

统计力学 · 物理学 2018-09-03 Giovanni Dematteis , Tobias Grafke , Eric Vanden-Eijnden

I introduce a generic method for inference on entire quantile and regression quantile processes in the presence of a finite number of large and arbitrarily heterogeneous clusters. The method asymptotically controls size by generating…

计量经济学 · 经济学 2023-06-16 Andreas Hagemann