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Subsampling methods aim to select a subsample as a surrogate for the observed sample. Such methods have been used pervasively in large-scale data analytics, active learning, and privacy-preserving analysis in recent decades. Instead of…

Machine Learning · Statistics 2022-06-03 Jingyi Zhang , Cheng Meng , Jun Yu , Mengrui Zhang , Wenxuan Zhong , Ping Ma

Sampling critical testing scenarios is an essential step in intelligence testing for Automated Vehicles (AVs). However, due to the lack of prior knowledge on the distribution of critical scenarios in sampling space, we can hardly…

Robotics · Computer Science 2024-05-03 Jingwei Ge , Pengbo Wang , Cheng Chang , Yi Zhang , Danya Yao , Li Li

We present a generative modeling approach based on the variational inference framework for likelihood-free simulation-based inference. The method leverages latent variables within variational autoencoders to efficiently estimate complex…

Machine Learning · Computer Science 2025-10-20 Mayank Nautiyal , Andrey Shternshis , Andreas Hellander , Prashant Singh

Safety performance evaluation is critical for developing and deploying connected and automated vehicles (CAVs). One prevailing way is to design testing scenarios using prior knowledge of CAVs, test CAVs in these scenarios, and then evaluate…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Jingxuan Yang , Haowei Sun , Honglin He , Yi Zhang , Shuo Feng , Henry X. Liu

Considering a regression model, we address the question of testing the nullity of the regression function. The testing procedure is available when the variance of the observations is unknown and does not depend on any prior information on…

Statistics Theory · Mathematics 2019-04-08 Thi Thien Trang Bui

Evaluating the reliability of intelligent physical systems against rare safety-critical events poses a huge testing burden for real-world applications. Simulation provides a useful platform to evaluate the extremal risks of these systems…

Machine Learning · Computer Science 2021-03-09 Mansur Arief , Zhiyuan Huang , Guru Koushik Senthil Kumar , Yuanlu Bai , Shengyi He , Wenhao Ding , Henry Lam , Ding Zhao

We consider the variable selection problem for two-sample tests, aiming to select the most informative variables to determine whether two collections of samples follow the same distribution. To address this, we propose a novel framework…

Machine Learning · Statistics 2024-12-23 Jie Wang , Santanu S. Dey , Yao Xie

An open question in autonomous driving is how best to use simulation to validate the safety of autonomous vehicles. Existing techniques rely on simulated rollouts, which can be inefficient for finding rare failure events, while other…

Robotics · Computer Science 2020-06-29 Anthony Corso , Ritchie Lee , Mykel J. Kochenderfer

Testing is essential for verifying and validating control designs, especially in safety-critical applications. In particular, the control system governing an automated driving vehicle must be proven reliable enough for its acceptance on the…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Mengjia Zhu , Alberto Bemporad , Maximilian Kneissl , Hasan Esen

Autonomous vehicles are in an intensive research and development stage, and the organizations developing these systems are targeting to deploy them on public roads in a very near future. One of the expectations from fully-automated vehicles…

Robotics · Computer Science 2019-03-27 Cumhur Erkan Tuncali , Georgios Fainekos

We propose a novel calibration method for computer simulators, dealing with the problem of covariate shift. Covariate shift is the situation where input distributions for training and test are different, and ubiquitous in applications of…

Machine Learning · Statistics 2020-03-20 Keiichi Kisamori , Motonobu Kanagawa , Keisuke Yamazaki

Kernel methods on discrete domains have shown great promise for many challenging data types, for instance, biological sequence data and molecular structure data. Scalable kernel methods like Support Vector Machines may offer good predictive…

Machine Learning · Statistics 2021-05-27 Vincent Fortuin , Gideon Dresdner , Heiko Strathmann , Gunnar Rätsch

In this paper, we propose a test for the equality of multiple distributions based on kernel mean embeddings. Our framework provides a flexible way to handle multivariate or even high-dimensional data by virtue of kernel methods and allows…

Statistics Theory · Mathematics 2020-06-08 Ilmun Kim

As the popularity of autonomous vehicles has grown, many standards and regulators, such as ISO, NHTSA, and Euro NCAP, require safety validation to ensure a sufficient level of safety before deploying them in the real world. Manufacturers…

Machine Learning · Computer Science 2024-10-30 Linh Trinh , Ali Anwar , Siegfried Mercelis

Simulation-based testing remains the main approach for validating Autonomous Driving Systems. We propose a rigorous test method based on breaking down scenarios into simple ones, taking into account the fact that autopilots make decisions…

Software Engineering · Computer Science 2024-05-28 Changwen Li , Joseph Sifakis , Rongjie Yan , Jian Zhang

We present a novel distributionally robust framework for dynamic programming that uses kernel methods to design feedback control policies. Specifically, we leverage kernel mean embedding to map the transition probabilities governing the…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Licio Romao , Ashish R. Hota , Alessandro Abate

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

In supervised learning with distributional inputs in the two-stage sampling setup, relevant to applications like learning-based medical screening or causal learning, the inputs (which are probability distributions) are not accessible in the…

Machine Learning · Computer Science 2026-01-22 Christian Fiedler

A wild bootstrap method for nonparametric hypothesis tests based on kernel distribution embeddings is proposed. This bootstrap method is used to construct provably consistent tests that apply to random processes, for which the naive…

Machine Learning · Statistics 2016-09-28 Kacper Chwialkowski , Dino Sejdinovic , Arthur Gretton

Safety is an essential aspect in the facilitation of automated vehicle deployment. Current testing practices are not enough, and going beyond them leads to infeasible testing requirements, such as needing to drive billions of kilometres on…

Machine Learning · Computer Science 2019-07-12 Felix Batsch , Alireza Daneshkhah , Madeline Cheah , Stratis Kanarachos , Anthony Baxendale