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Many real-life data sets can be analyzed using Linear Mixed Models (LMMs). Since these are ordinarily based on normality assumptions, under small deviations from the model the inference can be highly unstable when the associated parameters…

统计方法学 · 统计学 2024-02-06 Giovanni Saraceno , Abhik Ghosh , Ayanendranath Basu , Claudio Agostinelli

This paper presents a generic analytical framework tailored for surrogate safety measures (SSMs) that is versatile across various highway geometries, capable of encompassing vehicle dynamics of differing dimensionality and fidelity, and…

系统与控制 · 电气工程与系统科学 2024-05-28 Sixu Li , Mohammad Anis , Dominique Lord , Hao Zhang , Yang Zhou , Xinyue Ye

Applying reinforcement learning to autonomous driving has garnered widespread attention. However, classical reinforcement learning methods optimize policies by maximizing expected rewards but lack sufficient safety considerations, often…

机器人学 · 计算机科学 2025-03-28 Bo Leng , Ran Yu , Wei Han , Lu Xiong , Zhuoren Li , Hailong Huang

Inspired by the Boltzmann kinetics, we propose a collision-based dynamics with a Monte Carlo solution algorithm that approximates the solution of the multi-marginal optimal transport problem via randomized pairwise swapping of sample…

人工智能 · 计算机科学 2025-08-05 Mohsen Sadr , Hossein Gorji

I study the estimation of semiparametric monotone index models in the scenario where the number of observation points $n$ is extremely large and conventional approaches fail to work due to heavy computational burdens. Motivated by the…

计量经济学 · 经济学 2023-10-31 Qingsong Yao

We develop a novel method of replica-exchange molecular dynamics (REMD) simulation, mass-scaling REMD (MSREMD) method, which improves trajectory accuracy at high temperatures, and thereby contributes to numerical stability. In addition, the…

统计力学 · 物理学 2015-06-19 Tetsuro Nagai , Takuya Takahashi

This work explores the nature of augmented importance sampling in safety-constrained model predictive control problems. When operating in a constrained environment, sampling based model predictive control and motion planning typically…

系统与控制 · 电气工程与系统科学 2022-04-13 Manan Gandhi , Hassan Almubarak , Yuichiro Aoyama , Evangelos Theodorou

In this work, we consider the distributed optimization of non-smooth convex functions using a network of computing units. We investigate this problem under two regularity assumptions: (1) the Lipschitz continuity of the global objective…

最优化与控制 · 数学 2018-06-04 Kevin Scaman , Francis Bach , Sébastien Bubeck , Yin Tat Lee , Laurent Massoulié

The validation of highly automated, perception-based driving systems must ensure that they function correctly under the full range of real-world conditions. Scenario-based testing is a prominent approach to addressing this challenge, as it…

机器人学 · 计算机科学 2025-12-15 Steffen Schäfer , Martin Cichon

This paper deals with robust inference for parametric copula models. Estimation using Canonical Maximum Likelihood might be unstable, especially in the presence of outliers. We propose to use a procedure based on the Maximum Mean…

We develop a divergence-minimization (DM) framework for robust and efficient inference in latent-mixture models. By optimizing a residual-adjusted divergence, the DM approach recovers EM as a special case and yields robust alternatives…

统计理论 · 数学 2025-11-25 Lei Li , Anand N. Vidyashankar

This paper presents a novel methodology to enforce motion safety guarantees even in the event of a sudden loss of control capabilities by any agent within a multi-agent system. This passive safety methodology permits the replacement of…

最优化与控制 · 数学 2023-05-29 Tommaso Guffanti , Simone D'Amico

Generating samples from limited information is a fundamental problem across scientific domains. Classical maximum entropy methods provide principled uncertainty quantification from moment constraints but require sampling via MCMC or…

Kernel embeddings of distributions and the Maximum Mean Discrepancy (MMD), the resulting distance between distributions, are useful tools for fully nonparametric two-sample testing and learning on distributions. However, it is rarely that…

机器学习 · 统计学 2017-11-07 Ho Chung Leon Law , Christopher Yau , Dino Sejdinovic

Unsupervised Out-of-Distribution (OOD) detection consists in identifying anomalous regions in images leveraging only models trained on images of healthy anatomy. An established approach is to tokenize images and model the distribution of…

计算机视觉与模式识别 · 计算机科学 2023-08-04 Sergio Naval Marimont , Vasilis Siomos , Giacomo Tarroni

This study presents an integrated modeling and optimization framework for a steam methane reforming (SMR) reactor, combining a mathematical model, artificial neural network (ANN)-based hybrid modeling, advanced multi-objective optimization…

化学物理 · 物理学 2025-07-11 Seyed Reza Nabavi , Zonglin Guo , Zhiyuan Wang

Labeling medical images is a major bottleneck in the field of medical imaging, as it requires domain-specific expertise, and it gets further complicated due to variability across different medical centers and different imaging devices. Such…

计算机视觉与模式识别 · 计算机科学 2026-05-06 Sapna Sachan , Rakesh Kumar Sanodiya , Amulya Kumar Mahto

Volumetry is one of the principal downstream applications of 3D medical image segmentation, for example, to detect abnormal tissue growth or for surgery planning. Conformal Prediction is a promising framework for uncertainty quantification,…

计算机视觉与模式识别 · 计算机科学 2024-07-30 Benjamin Lambert , Florence Forbes , Senan Doyle , Michel Dojat

In this paper, we develop a novel dynamic distributed optimal safe consensus protocol to simultaneously achieve safety requirements and output optimal consensus. Specifically, we construct a distributed projection optimization algorithm…

最优化与控制 · 数学 2024-01-15 Ji Ma , Shu Liang , Yiguang Hong

Subspace segmentation or subspace learning is a challenging and complicated task in machine learning. This paper builds a primary frame and solid theoretical bases for the minimal subspace segmentation (MSS) of finite samples. Existence and…

机器学习 · 计算机科学 2019-09-10 Zhenyue Zhang , Yuqing Xia