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High-dimensional k-sample comparison is a common applied problem. We construct a class of easy-to-implement nonparametric distribution-free tests based on new tools and unexplored connections with spectral graph theory. The test is shown to…

统计方法学 · 统计学 2019-08-12 Subhadeep , Mukhopadhyay , Kaijun Wang

Autonomous vehicles (AVs) require extensive testing in simulation, but test case generation for driving scenarios is laborious. The desired scenarios are often out-of-distribution and have precise requirements on interactions with the AV…

机器人学 · 计算机科学 2026-05-11 Frieda Rong , Chris Zhang , Kelvin Wong , Raquel Urtasun

Despite the extent of recent advances in Machine Learning (ML) and Neural Networks, providing formal guarantees on the behavior of these systems is still an open problem, and a crucial requirement for their adoption in regulated or…

机器学习 · 计算机科学 2024-10-01 Matteo Francobaldi , Michele Lombardi

Conformal prediction provides prediction sets with finite-sample marginal coverage, but many applications require coverage guarantees that adapt to individual test points, a subpopulation, or a structural component of the data. Existing…

统计方法学 · 统计学 2026-05-27 Yinjie Min , Liuhua Peng , Changliang Zou

There is a growing trend toward AI systems interacting with humans to revolutionize a range of application domains such as healthcare and transportation. However, unsafe human-machine interaction can lead to catastrophic failures. We…

人工智能 · 计算机科学 2024-12-19 Shuyang Dong , Meiyi Ma , Josephine Lamp , Sebastian Elbaum , Matthew B. Dwyer , Lu Feng

We present a framework for merging unit tests for autonomous systems. Typically, it is intractable to test an autonomous system for every scenario in its operating environment. The question of whether it is possible to design a single test…

系统与控制 · 电气工程与系统科学 2022-04-07 Josefine Graebener , Apurva Badithela , Richard M. Murray

Safety validation of autonomous driving systems requires high-risk scenario coverage, clear collision semantics, executable trajectories, and attributable multi-vehicle interactions. Existing safety-critical scenario generation methods…

机器人学 · 计算机科学 2026-05-20 Cheng Wang , Chen Xiong , Ziwen Wang , Yuchen Zhou , Qiang Liu

Optimization-based methods are widely used for computing fast, diverse solutions for complex tasks such as collision-free movement or planning in the presence of contacts. However, most of these methods require enforcing non-penetration…

机器人学 · 计算机科学 2025-10-01 Akshay Jaitly , Devesh K. Jha , Kei Ota , Yuki Shirai

Diffusion models are increasingly used as powerful conditional generators, yet real deployments often involve multiple target distributions arising from different tasks, e.g., diverse prompt domains in text-to-image generation, or multiple…

机器学习 · 计算机科学 2026-05-26 Ziheng Cheng , Yixiao Huang , Hanlin Zhu , Haoran Geng , Somayeh Sojoudi , Jitendra Malik , Pieter Abbeel , Xin Guo

Evaluating conditional coverage remains one of the most persistent challenges in assessing the reliability of predictive systems. Although conformal methods can give guarantees on marginal coverage, no method can guarantee to produce sets…

机器学习 · 统计学 2025-12-15 Sacha Braun , David Holzmüller , Michael I. Jordan , Francis Bach

We examine the linear regression problem in a challenging high-dimensional setting with correlated predictors where the vector of coefficients can vary from sparse to dense. In this setting, we propose a combination of probabilistic…

统计方法学 · 统计学 2025-05-13 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

We discuss the (re-)construction of quasiprobability representations from generic measurements, including noisy ones. Based on the measurement under study, quasiprobabilities and the associated concept of nonclassicality are introduced. A…

量子物理 · 物理学 2025-11-07 Jan Sperling , Laura Ares , Elizabeth Agudelo

We consider the problem of constructing quantum operations or channels, if they exist, that transform a given set of quantum states $\{\rho_1, \dots, \rho_k\}$ to another such set $\{\hat\rho_1, \dots, \hat\rho_k\}$. In other words, we must…

Navigation is a very crucial aspect of autonomous vehicle ecosystem which heavily relies on collecting and processing large amounts of data in various states and taking a confident and safe decision to define the next vehicle maneuver. In…

新兴技术 · 计算机科学 2025-06-23 Hemanth Kannamarlapudi , Sowmya Chintalapudi

The development of new assessment methods for the performance of automated vehicles is essential to enable the deployment of automated driving technologies, due to the complex operational domain of automated vehicles. One contributing…

We propose Kernel Predictive Control (KPC), a learning-based predictive control strategy that enjoys deterministic guarantees of safety. Noise-corrupted samples of the unknown system dynamics are used to learn several models through the…

系统与控制 · 电气工程与系统科学 2020-11-24 Emilio T. Maddalena , Paul Scharnhorst , Yuning Jiang , Colin N. Jones

We present an approach for designing correct-by-construction neural networks (and other machine learning models) that are guaranteed to be consistent with a collection of input-output specifications before, during, and after algorithm…

机器学习 · 计算机科学 2020-01-31 Stephen Mell , Olivia Brown , Justin Goodwin , Sung-Hyun Son

Network theory has played a dominant role in understanding the structure of complex systems and their dynamics. Recently, quantum complex networks, i.e. collections of quantum systems in a non-regular topology, have been explored leading to…

The goal of autonomous vehicles is to navigate public roads safely and comfortably. To enforce safety, traditional planning approaches rely on handcrafted rules to generate trajectories. Machine learning-based systems, on the other hand,…

This paper is about models for a vector of probabilities whose elements must have a multiplicative structure and sum to 1 at the same time; in certain applications, as basket analysis, these models may be seen as a constrained version of…

统计理论 · 数学 2018-04-17 Antonio Forcina