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We provide a framework for compositional and iterative design and verification of systems with quantitative information, such as rewards, time or energy. It is based on disjunctive modal transition systems where we allow actions to bear…

计算机科学中的逻辑 · 计算机科学 2017-02-09 Uli Fahrenberg , Jan Křetínský , Axel Legay , Louis-Marie Traonouez

The focus of this article is the approximation of functions which are analytic on a compact interval except at the endpoints. Typical numerical methods for approximating such functions depend upon the use of particular conformal maps from…

数值分析 · 数学 2014-05-05 Ben Adcock , Mark Richardson

Data-driven reachability analysis enables safety verification when first-principles models are unavailable. This requires constructing sets of system models consistent with measured trajectories and noise assumptions. Existing approaches…

系统与控制 · 电气工程与系统科学 2026-04-07 Peng Xie , Zhen Zhang , Rolf Findeisen , Amr Alanwar

As data becomes the fuel driving technological and economic growth, a fundamental challenge is how to quantify the value of data in algorithmic predictions and decisions. For example, in healthcare and consumer markets, it has been…

机器学习 · 统计学 2019-06-11 Amirata Ghorbani , James Zou

We consider the task of lossy compression of high-dimensional vectors through quantization. We propose the approach that learns quantization parameters by minimizing the distortion of scalar products and squared distances between pairs of…

计算机视觉与模式识别 · 计算机科学 2016-06-07 Artem Babenko , Relja Arandjelović , Victor Lempitsky

Conformal prediction is a popular, modern technique for providing valid predictive inference for arbitrary machine learning models. Its validity relies on the assumptions of exchangeability of the data, and symmetry of the given model…

统计方法学 · 统计学 2023-03-20 Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas , Ryan J. Tibshirani

Optimized jet substructure observables for identifying boosted topologies will play an essential role in maximizing the physics reach of the Large Hadron Collider. Ideally, the design of discriminating variables would be informed by…

高能物理 - 唯象学 · 物理学 2015-06-22 Andrew J. Larkoski , Ian Moult , Duff Neill

This study presents a scalable data-driven algorithm designed to efficiently address the challenging problem of reachability analysis. Analysis of cyber-physical systems (CPS) relies typically on parametric physical models of dynamical…

机器人学 · 计算机科学 2025-05-22 Navid Hashemi , Lars Lindemann , Jyotirmoy Deshmukh

The widespread adoption of renewable energy poses a challenge in maintaining a feasible operating point in highly variable scenarios. This paper demonstrates that, within a feasible region of a power system that meets practical stability…

系统与控制 · 电气工程与系统科学 2026-03-24 Qirui Zheng , Dan Wu , Franz-Erich Wolter , Sijia Geng

In this paper some new proposals for method comparison are presented. On the one hand, two new robust regressions, the M-Deming and the MM-Deming, have been developed by modifying Linnet's method of the weighted Deming regression. The…

统计方法学 · 统计学 2021-05-12 Giorgio Pioda

Compositional data consist of known compositions vectors whose components are positive and defined in the interval (0,1) representing proportions or fractions of a "whole". The sum of these components must be equal to one. Compositional…

应用统计 · 统计学 2015-07-02 Taciana K. O. Shimizu , Francisco Louzada , Adriano K. Suzuki , Ricardo S. Ehlers

We develop a method to generate prediction sets with a guaranteed coverage rate that is robust to corruptions in the training data, such as missing or noisy variables. Our approach builds on conformal prediction, a powerful framework to…

机器学习 · 计算机科学 2025-01-10 Shai Feldman , Yaniv Romano

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

We compute the leading radiative correction to the Casimir force between two parallel plates in the $\lambda\Phi^4$ theory. Dirichlet and periodic boundary conditions are considered. A heuristic approach, in which the Casimir energy is…

高能物理 - 理论 · 物理学 2013-05-29 Luiz C. de Albuquerque , R. M. Cavalcanti

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

统计方法学 · 统计学 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

Change point tests for abrupt changes in the mean of functional data, i.e., random elements in infinite-dimensional Hilbert spaces, are either based on dimension reduction techniques, e.g., based on principal components, or directly based…

统计理论 · 数学 2026-01-23 Claudia Kirch , Hedvika Ranošová , Martin Wendler

A method to reconstruct fields, source strengths and physical parameters based on Gaussian process regression is presented for the case where data are known to fulfill a given linear differential equation with localized sources. The…

数据分析、统计与概率 · 物理学 2019-09-10 Christopher G. Albert

Compositional data are contemporarily defined as positive vectors, the ratios among whose elements are of interest to the researcher. Financial statement analysis by means of accounting ratios a.k.a. financial ratios fulfils this definition…

统计金融 · 定量金融 2026-05-29 Germà Coenders , Núria Arimany Serrat

Mortality forecasting is crucial for demographic planning and actuarial studies, especially for projecting population ageing and longevity risk. Classical approaches largely rely on extrapolative methods, such as the Lee-Carter (LC) model,…

应用统计 · 统计学 2026-02-24 Han Ying Lim , Dharini Pathmanathan , Sophie Dabo-Niang

nimCSO is a high-performance tool implementing several methods for selecting components (data dimensions) in compositional datasets, which optimize the data availability and density for applications such as machine learning. Making said…

材料科学 · 物理学 2024-12-17 Adam M. Krajewski , Arindam Debnath , Wesley F. Reinhart , Allison M. Beese , Zi-Kui Liu