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We propose a novel method for selective classification (SC), a problem which allows a classifier to abstain from predicting some instances, thus trading off accuracy against coverage (the fraction of instances predicted). In contrast to…

机器学习 · 计算机科学 2021-10-26 Aditya Gangrade , Anil Kag , Venkatesh Saligrama

Handling model mismatch is a common challenge in model predictive control (MPC). While robust MPC is effective, its conservatism often makes it less desirable. Certainty-equivalence MPC (CE-MPC), which uses a nominal model, offers an…

最优化与控制 · 数学 2026-02-10 Changrui Liu , Shengling Shi , Bart De Schutter

Ensuring the safety of autonomous vehicles, given the uncertainty in sensing other road users, is an open problem. Moreover, separate safety specifications for perception and planning components raise how to assess the overall system…

多智能体系统 · 计算机科学 2021-07-22 Julian Bernhard , Patrick Hart , Amit Sahu , Christoph Schöller , Michell Guzman Cancimance

Cyber Physical Systems (CPS) are becoming ubiquitous and affect the physical world, yet security is seldom at the forefront of their design. This is especially true of robotic control algorithms which seldom consider the effect of a cyber…

机器人学 · 计算机科学 2018-03-07 Alexander Ivanov , Mark Campbell

This tutorial focuses on efficient methods to predictive monitoring (PM), the problem of detecting at runtime future violations of a given requirement from the current state of a system. While performing model checking at runtime would…

人工智能 · 计算机科学 2023-12-05 Francesca Cairoli , Luca Bortolussi , Nicola Paoletti

In automated driving, risk describes potential harm to passengers of an autonomous vehicle (AV) and other road users. Recent studies suggest that human-like driving behavior emerges from embedding risk in AV motion planning algorithms.…

最优化与控制 · 数学 2025-07-17 Leon Tolksdorf , Arturo Tejada , Nathan van de Wouw , Christian Birkner

Conformal Prediction (CP) is a distribution-free method for constructing prediction sets with marginal finite-sample coverage guarantees, making it a suitable framework for reliable uncertainty quantification in safety-critical object…

计算机视觉与模式识别 · 计算机科学 2026-05-11 Christopher Ries , Moussa Kassem Sbeyti , Nicolas Bianco , Nadja Klein

In this paper, we address the problem of designing stochastic model predictive control (MPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is twofold. First, motivated by the difficulty of…

系统与控制 · 电气工程与系统科学 2024-06-21 Mirko Fiacchini , Martina Mammarella , Fabrizio Dabbene

Ordinal classification has been widely applied in many high-stakes applications, e.g., medical imaging and diagnosis, where reliable uncertainty quantification (UQ) is essential for decision making. Conformal prediction (CP) is a general UQ…

机器学习 · 计算机科学 2025-11-24 Zijian Zhang , Xinyu Chen , Yuanjie Shi , Liyuan Lillian Ma , Zifan Xu , Yan Yan

We address the optimal covariance steering (OCS) problem for stochastic discrete linear systems with additive Gaussian noise under state chance constraints and input hard constraints. Because the system state can be unbounded due to the…

最优化与控制 · 数学 2019-10-01 Kazuhide Okamoto , Panagiotis Tsiotras

Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

统计方法学 · 统计学 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

Foundation models often generate unreliable answers, while heuristic uncertainty estimators fail to fully distinguish correct from incorrect outputs, causing users to accept erroneous answers without any statistical guarantee. We address…

人工智能 · 计算机科学 2026-05-27 Zhiyuan Wang , Aniri , Tianlong Chen , Yue Zhang , Heng Tao Shen , Xiaoshuang Shi , Kaidi Xu

This paper is on Bayesian inference for parametric statistical models that are defined by a stochastic simulator which specifies how data is generated. Exact sampling is then possible but evaluating the likelihood function is typically…

机器学习 · 统计学 2020-03-02 Borislav Ikonomov , Michael U. Gutmann

Optimization via simulation (OvS) procedures that assume the simulation inputs are generated from the real-world distributions are subject to the risk of selecting a suboptimal solution when the distributions are substituted with input…

统计方法学 · 统计学 2021-01-20 Eunhye Song

This paper proposes a safety analysis method that facilitates a tunable balance between the worst-case and risk-neutral perspectives. First, we define a risk-sensitive safe set to specify the degree of safety attained by a stochastic…

系统与控制 · 电气工程与系统科学 2020-07-28 Margaret P. Chapman , Jonathan P. Lacotte , Kevin M. Smith , Insoon Yang , Yuxi Han , Marco Pavone , Claire J. Tomlin

Safety assurance is critical in the planning and control of robotic systems. For robots operating in the real world, the safety-critical design often needs to explicitly address uncertainties and the pre-computed guarantees often rely on…

机器人学 · 计算机科学 2024-07-09 Hao Zhou , Yanze Zhang , Wenhao Luo

Evaluating rare-event forecasts is challenging because standard metrics collapse as event prevalence declines. Measures such as F1-score, AUPRC, MCC, and accuracy induce degenerate thresholds -- converging to zero or one -- and their values…

统计方法学 · 统计学 2025-12-02 Sotirios D. Nikolopoulos

Verifying probabilistic forecasts for extreme events is a highly active research area because popular media and public opinions are naturally focused on extreme events, and biased conclusions are readily made. In this context, classical…

统计方法学 · 统计学 2023-02-09 Maxime Taillardat , Anne-Laure Fougères , Philippe Naveau , Raphaël de Fondeville

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

最优化与控制 · 数学 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

系统与控制 · 电气工程与系统科学 2025-09-04 J. Wehbeh , E. C. Kerrigan