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This article develops a framework for testing general hypothesis in high-dimensional models where the number of variables may far exceed the number of observations. Existing literature has considered less than a handful of hypotheses, such…

Methodology · Statistics 2017-08-16 Yinchu Zhu , Jelena Bradic

For all its successes, Reinforcement Learning (RL) still struggles to deliver formal guarantees on the closed-loop behavior of the learned policy. Among other things, guaranteeing the safety of RL with respect to safety-critical systems is…

Systems and Control · Electrical Eng. & Systems 2020-04-03 Sebastien Gros , Mario Zanon , Alberto Bemporad

Safety validation of autonomous driving systems is extremely challenging due to the high risks and costs of real-world testing as well as the rarity and diversity of potential failures. To address these challenges, we train a denoising…

Robotics · Computer Science 2025-06-11 Juanran Wang , Marc R. Schlichting , Harrison Delecki , Mykel J. Kochenderfer

Scenario-based testing is an indispensable instrument for the comprehensive validation and verification of automated vehicles (AVs). However, finding a manageable and finite, yet representative subset of scenarios in a scalable, possibly…

Machine Learning · Computer Science 2025-07-08 Ferdinand Mütsch , Maximilian Zipfl , Nikolai Polley , J. Marius Zöllner

Quantum machine learning, as an extension of classical machine learning that harnesses quantum mechanics, facilitates effiient learning from data encoded in quantum states. Training a quantum neural network typically demands a substantial…

Quantum Physics · Physics 2026-02-17 Yongcheng Ding , Yue Ban , Mikel Sanz , José D. Martín-Guerrero , Xi Chen

The increasing use of machine-learning (ML) enabled systems in critical tasks fuels the quest for novel verification and validation techniques yet grounded in accepted system assurance principles. In traditional system development,…

Machine Learning · Computer Science 2020-02-11 Taejoon Byun , Sanjai Rayadurgam

When developing a safety-critical system it is essential to obtain an assessment of different design alternatives. In particular, an early safety assessment of the architectural design of a system is desirable. In spite of the plethora of…

Software Engineering · Computer Science 2011-07-07 Florian Leitner-Fischer , Stefan Leue

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

Uncertainty quantification is essential for deploying machine learning models in high-stakes domains such as scientific discovery and healthcare. Conformal Prediction (CP) provides finite-sample coverage guarantees under exchangeability, an…

Machine Learning · Computer Science 2026-03-30 Siddhartha Laghuvarapu , Rohan Deb , Jimeng Sun

This paper presents a scenario generation framework that creates diverse, parametrized, and safety-critical driving situations to validate the safety features of autonomous vehicles in simulation [15]. By modeling factors such as road…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Kiruthiga Chandra Shekar , Aliasghar Moj Arab

Existing neural network-based autonomous systems are shown to be vulnerable against adversarial attacks, therefore sophisticated evaluation on their robustness is of great importance. However, evaluating the robustness only under the…

Machine Learning · Computer Science 2020-12-29 Wenhao Ding , Baiming Chen , Bo Li , Kim Ji Eun , Ding Zhao

Autonomous cars are subjected to several different kind of inputs (other cars, road structure, etc.) and, therefore, testing the car under all possible conditions is impossible. To tackle this problem, scenario-based testing for automated…

Software Engineering · Computer Science 2020-08-05 Thomas Laurent , Paolo Arcaini , Fuyuki Ishikawa , Anthony Ventresque

We present a novel method for testing the safety of self-driving vehicles in simulation. We propose an alternative to sensor simulation, as sensor simulation is expensive and has large domain gaps. Instead, we directly simulate the outputs…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Kelvin Wong , Qiang Zhang , Ming Liang , Bin Yang , Renjie Liao , Abbas Sadat , Raquel Urtasun

Training intelligent agents that can drive autonomously in various urban and highway scenarios has been a hot topic in the robotics society within the last decades. However, the diversity of driving environments in terms of road topology…

Robotics · Computer Science 2022-04-06 Behrad Toghi , Rodolfo Valiente , Ramtin Pedarsani , Yaser P. Fallah

Operator learning has been increasingly adopted in scientific and engineering applications, many of which require calibrated uncertainty quantification. Since the output of operator learning is a continuous function, quantifying uncertainty…

Machine Learning · Computer Science 2024-02-07 Ziqi Ma , Kamyar Azizzadenesheli , Anima Anandkumar

This paper develops a novel nonparametric significance test based on a tailored nonparametric-type projected weighting function that exhibits appealing theoretical and numerical properties. We derive the asymptotic properties of the…

Econometrics · Economics 2026-02-18 Xiaojun Song , Jichao Yuan

In this paper, we investigate a special class of quadratic-constrained quadratic programming (QCQP) with semi-definite constraints. Traditionally, since such a problem is non-convex and N-hard, the neural network (NN) is regarded as a…

Machine Learning · Computer Science 2024-07-10 Xiucheng Wang , Qi Qiu , Nan Cheng

As autonomous vehicle technology advances, the precise assessment of safety in complex traffic scenarios becomes crucial, especially in mixed-vehicle environments where human perception of safety must be taken into account. This paper…

Robotics · Computer Science 2025-03-28 Enrico Del Re , Amirhesam Aghanouri , Cristina Olaverri-Monreal

Autonomous vehicles, including self driving cars, ground robots, and drones, rely on multi-modal sensor pipelines for safe operation, yet remain vulnerable to adversarial sensor attacks. A critical gap is the lack of a systematic end-to-end…

Cryptography and Security · Computer Science 2025-11-18 Qingzhao Zhang , Shaocheng Luo , Z. Morley Mao , Miroslav Pajic , Michael K. Reiter

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin