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Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein…

最优化与控制 · 数学 2026-04-07 Irina Wang , Cole Becker , Bart Van Parys , Bartolomeo Stellato

Among the different possible strategies for evaluating the reliability of individual predictions of classifiers, robustness quantification stands out as a method that evaluates how much uncertainty a classifier could cope with before…

机器学习 · 计算机科学 2026-03-25 Rodrigo F. L. Lassance , Jasper De Bock

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…

统计计算 · 统计学 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

Uncertainty is prevalent in engineering design, data-driven problems, and decision making broadly. Due to inherent risk-averseness and ambiguity about assumptions, it is common to address uncertainty by formulating and solving conservative…

最优化与控制 · 数学 2024-04-05 Johannes O. Royset

Combining efficient and safe control for safety-critical systems is challenging. Robust methods may be overly conservative, whereas probabilistic controllers require a trade-off between efficiency and safety. In this work, we propose a…

系统与控制 · 电气工程与系统科学 2022-09-16 Tim Brüdigam , Robert Jacumet , Dirk Wollherr , Marion Leibold

In the current work we introduce a novel estimation of distribution algorithm to tackle a hard combinatorial optimization problem, namely the single-machine scheduling problem, with uncertain delivery times. The majority of the existing…

数据结构与算法 · 计算机科学 2013-12-05 Boris Mitavskiy , Jun He

In reinforcement learning, robust policies for high-stakes decision-making problems with limited data are usually computed by optimizing the percentile criterion, which minimizes the probability of a catastrophic failure. Unfortunately,…

机器学习 · 计算机科学 2021-03-01 Elita A. Lobo , Mohammad Ghavamzadeh , Marek Petrik

Adversarial examples pose a security threat to many critical systems built on neural networks (such as face recognition systems, and self-driving cars). While many methods have been proposed to build robust models, how to build certifiably…

机器学习 · 计算机科学 2023-09-06 Ruihan Zhang , Peixin Zhang , Jun Sun

Robust Bayesian analysis has been mainly devoted to detecting and measuring robustness w.r.t. the prior distribution. Many contributions in the literature aim to define suitable classes of priors which allow the computation of variations of…

统计理论 · 数学 2025-09-04 Antonio Di Noia , Fabrizio Ruggeri , Antonietta Mira

A common problem in the optimization of structures is the handling of uncertainties in the parameters. If the parameters appear in the constraints, the uncertainties can lead to an infinite number of constraints. Usually the constraints…

最优化与控制 · 数学 2012-05-01 Daniel P. Mohr , Ina Stein , Thomas Matzies , Christina A. Knapek

Despite numerous countermeasures proposed by practitioners and researchers, remote control-flow alteration of programs with memory-safety vulnerabilities continues to be a realistic threat. Guaranteeing that complex software is completely…

密码学与安全 · 计算机科学 2017-02-20 Martín Ochoa , Sebastian Banescu , Cynthia Disenfeld , Gilles Barthe , Vijay Ganesh

From the statistical learning perspective, complexity control via explicit regularization is a necessity for improving the generalization of over-parameterized models. However, the impressive generalization performance of neural networks…

机器学习 · 计算机科学 2021-02-09 Taejong Joo , Uijung Chung

Users of program analyses expect that results change predictably in response to changes in their programs, but many analyses fail to provide such robustness. This paper introduces a theoretical framework that provides a unified language to…

编程语言 · 计算机科学 2026-04-14 Zachary Kincaid , Shaowei Zhu

Finite-precision floating point arithmetic unavoidably introduces rounding errors which are traditionally bounded using a worst-case analysis. However, worst-case analysis might be overly conservative because worst-case errors can be…

数值分析 · 数学 2019-12-11 Fredrik Dahlqvist , Rocco Salvia , George A Constantinides

One of the major limitations for the employment of model-based planning and scheduling in practical applications is the need of costly re-planning when an incongruence between the observed reality and the formal model is encountered during…

人工智能 · 计算机科学 2019-11-19 Michael Cashmore , Alessandro Cimatti , Daniele Magazzeni , Andrea Micheli , Parisa Zehtabi

Robust planning in interactive scenarios requires predicting the uncertain future to make risk-aware decisions. Unfortunately, due to long-tail safety-critical events, the risk is often under-estimated by finite-sampling approximations of…

机器学习 · 计算机科学 2023-01-13 Haruki Nishimura , Jean Mercat , Blake Wulfe , Rowan McAllister , Adrien Gaidon

Regression methods are fundamental for scientific and technological applications. However, fitted models can be highly unreliable outside of their training domain, and hence the quantification of their uncertainty is crucial in many of…

机器学习 · 统计学 2024-03-05 Filippo Bigi , Sanggyu Chong , Michele Ceriotti , Federico Grasselli

Trustworthy artificial intelligence increasingly relies on probabilistic computation to achieve robustness, interpretability, security and privacy. In practical systems, such workloads interleave deterministic data access with repeated…

机器学习 · 计算机科学 2026-03-27 Xueji Zhao , Likai Pei , Jianbo Liu , Kai Ni , Ningyuan Cao

Probabilistic control design is founded on the principle that a rational agent attempts to match modelled with an arbitrary desired closed-loop system trajectory density. The framework was originally proposed as a tractable alternative to…

机器学习 · 计算机科学 2023-11-16 Tom Lefebvre

Robustness of neural networks has recently attracted a great amount of interest. The many investigations in this area lack a precise common foundation of robustness concepts. Therefore, in this paper, we propose a rigorous and flexible…

机器学习 · 计算机科学 2021-06-01 Alessandro Tibo , Manfred Jaeger , Kim G. Larsen