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The increasing complexity of modern robotic systems and the environments they operate in necessitates the formal consideration of safety in the presence of imperfect measurements. In this paper we propose a rigorous framework for…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Ryan K. Cosner , Andrew W. Singletary , Andrew J. Taylor , Tamas G. Molnar , Katherine L. Bouman , Aaron D. Ames

Model Predictive Control (MPC) is a powerful framework for constrained control, but its performance and safety can be severely degraded when the prediction model is learned online and thus remains uncertain. In this work, we develop a…

Optimization and Control · Mathematics 2025-12-01 Yingke Li , Yifan Lin , Enlu Zhou , Fumin Zhang

This article introduces methods for constructing prediction bounds or intervals for the number of future failures from heterogeneous reliability field data. We focus on within-sample prediction where early data from a failure-time process…

Methodology · Statistics 2021-04-13 Colin Lewis-Beck , Qinglong Tian , William Q. Meeker

We propose a new approach to Bayesian prediction that caters for models with a large number of parameters and is robust to model misspecification. Given a class of high-dimensional (but parametric) predictive models, this new approach…

Methodology · Statistics 2022-05-13 David T. Frazier , Ruben Loaiza-Maya , Gael M. Martin , Bonsoo Koo

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

Systems and Control · Computer Science 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

We present recent advances in formal verification and control for autonomous systems with practical safety guarantees enabled by conformal prediction (CP), a statistical tool for uncertainty quantification. This survey is particularly…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Lars Lindemann , Yiqi Zhao , Xinyi Yu , George J. Pappas , Jyotirmoy V. Deshmukh

In this paper, a novel, dual-mode model predictive control framework is introduced that combines the dynamic window approach to navigation with reference tracking controllers. This adds a deliberative component to the obstacle avoidance…

Systems and Control · Computer Science 2018-08-20 Greg Droge

Deep neural networks have set the state-of-the-art in computer vision tasks such as bounding box detection and semantic segmentation. Object detectors and segmentation models assign confidence scores to predictions, reflecting the model's…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Tobias J. Riedlinger , Kira Maag , Hanno Gottschalk

Humans can robustly follow a visual trajectory defined by a sequence of images (i.e. a video) regardless of substantial changes in the environment or the presence of obstacles. We aim at endowing similar visual navigation capabilities to…

Interpretable Machine Learning faces a recurring challenge of explaining the predictions made by opaque classifiers such as ensemble models, kernel methods, or neural networks in terms that are understandable to humans. When the model is…

Machine Learning · Computer Science 2024-11-14 Frederic Koriche , Jean-Marie Lagniez , Stefan Mengel , Chi Tran

Fault detection is crucial for ensuring the safety and reliability of modern industrial systems. However, a significant scientific challenge is the lack of rigorous risk control and reliable uncertainty quantification in existing diagnostic…

Artificial Intelligence · Computer Science 2025-08-05 Mingchen Mei , Yi Li , YiYao Qian , Zijun Jia

Navigating unfamiliar environments presents significant challenges for household robots, requiring the ability to recognize and reason about novel decoration and layout. Existing reinforcement learning methods cannot be directly transferred…

Robotics · Computer Science 2025-02-20 Yiran Qin , Ao Sun , Yuze Hong , Benyou Wang , Ruimao Zhang

We present safe control of partially-observed linear time-varying systems in the presence of unknown and unpredictable process and measurement noise. We introduce a control algorithm that minimizes dynamic regret, i.e., that minimizes the…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Hongyu Zhou , Vasileios Tzoumas

We introduce a sequential learning algorithm to address a robust controller tuning problem, which in effect, finds (with high probability) a candidate solution satisfying the internal performance constraint to a chance-constrained program…

Optimization and Control · Mathematics 2021-10-19 Robert Chin , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe

This paper presents a methodology that enables projection-based model reduction for black-box high-fidelity models such as commercial CFD codes. The methodology specifically addresses the situation where the high-fidelity model may be a…

Analysis of PDEs · Mathematics 2017-10-18 S. Ashwin Renganathan , Yingjie Liu , Dimitri N. Mavris

It remains a challenge to provide safety guarantees for autonomous systems with neural perception and control. A typical approach obtains symbolic bounds on perception error (e.g., using conformal prediction) and performs verification under…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Thomas Waite , Yuang Geng , Trevor Turnquist , Ivan Ruchkin , Radoslav Ivanov

The ultimate performance of machine learning algorithms for classification tasks is usually measured in terms of the empirical error probability (or accuracy) based on a testing dataset. Whereas, these algorithms are optimized through the…

Machine Learning · Computer Science 2021-12-13 Matias Vera , Leonardo Rey Vega , Pablo Piantanida

We propose a general approach for supervised learning with structured output spaces, such as combinatorial and polyhedral sets, that is based on minimizing estimated conditional risk functions. Given a loss function defined over pairs of…

Machine Learning · Statistics 2017-02-28 Chong Yang Goh , Patrick Jaillet

As machine learning-based prediction systems are increasingly used in high-stakes situations, it is important to understand how such predictive models will perform upon deployment. Distribution-free uncertainty quantification techniques…

Machine Learning · Computer Science 2025-06-12 Jake C. Snell , Thomas L. Griffiths

We consider the problem of computing reach-avoid probabilities for iterative predictions made with Bayesian neural network (BNN) models. Specifically, we leverage bound propagation techniques and backward recursion to compute lower bounds…

Machine Learning · Computer Science 2021-06-22 Matthew Wicker , Luca Laurenti , Andrea Patane , Nicola Paoletti , Alessandro Abate , Marta Kwiatkowska