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We consider amortized Bayesian inference for nonlinear inverse problems in settings where only samples from the joint distribution of parameters and observations are available. Classical methods such as Markov chain Monte Carlo require…

数值分析 · 数学 2026-05-19 Hojjat Kaveh , Ricardo Baptista , Andrew M. Stuart

Trajectory prediction is central to the safe and seamless operation of autonomous vehicles (AVs). In deployment, however, prediction models inevitably face distribution shifts between training data and real-world conditions, where rare or…

计算机视觉与模式识别 · 计算机科学 2026-03-16 Tongfei Guo , Lili Su

This paper presents a study of the large-sample behavior of the posterior distribution of a structural parameter which is partially identified by moment inequalities. The posterior density is derived based on the limited information…

统计理论 · 数学 2010-01-13 Yuan Liao , Wenxin Jiang

Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination traffic flows, X, given the observable link traffic flows, Y, and a binary routing matrix, A, which are…

网络与互联网体系结构 · 计算机科学 2021-12-20 Syed Muhammad Atif , Nicolas Gillis , Sameer Qazi , Imran Naseem

Passenger request prediction is essential for operations planning, control, and management in ride-sharing platforms. While the demand prediction problem has been studied extensively, the Origin-Destination (OD) flow prediction of…

机器学习 · 计算机科学 2024-01-26 Aqsa Ashraf Makhdomi , Iqra Altaf Gillani

Like mean, quantile and variance, mode is also an important measure of central tendency and data summary. Many practical questions often focus on "Which element (gene or file or signal) occurs most often or is the most typical among all…

统计方法学 · 统计学 2012-08-03 Keming Yu , Katerina Aristodemou

Parameter estimation and associated uncertainty quantification is an important problem in dynamical systems characterized by ordinary differential equation (ODE) models that are often nonlinear. Typically, such models have analytically…

统计计算 · 统计学 2024-03-26 Wai Meng Kwok , Sarat Chandra Dass , George Streftaris

In Bayesian applications, there is a huge interest in rapid and accurate estimation of the posterior distribution, particularly for high dimensional or hierarchical models. In this article, we propose to use optimization to solve for a…

统计计算 · 统计学 2021-03-12 Leo L. Duan

This article considers the stochastic on-time arrival problem in transit networks where both the travel time and the waiting time for transit services are stochastic. A specific challenge of this problem is the combinatorial solution space…

数据结构与算法 · 计算机科学 2018-12-04 Yang Liu , Sebastien Blandin , Samitha Samaranayake

Motivated by the need to analyze large, decentralized datasets, distributed Bayesian inference has become a critical research area across multiple fields, including statistics, electrical engineering, and economics. This paper establishes…

统计理论 · 数学 2025-07-08 Bohan Wu , César A. Uribe

Past research on pedestrian trajectory forecasting mainly focused on deterministic predictions which provide only point estimates of future states. These future estimates can help an autonomous vehicle plan its trajectory and avoid…

机器学习 · 计算机科学 2023-01-16 Anshul Nayak , Azim Eskandarian , Zachary Doerzaph

Reliability plays a key role in the experience of a rail traveler. The reliability of journeys involving transfers is affected by the reliability of the transfers and the consequences of missing a transfer, as well as the possible delay of…

应用统计 · 统计学 2025-04-25 Nikolaus Stratil-Sauer , Nils Breyer

Despite the significant research efforts on trajectory prediction for automated driving, limited work exists on assessing the prediction reliability. To address this limitation we propose an approach that covers two sources of error, namely…

机器人学 · 计算机科学 2023-08-07 Julian Wiederer , Julian Schmidt , Ulrich Kressel , Klaus Dietmayer , Vasileios Belagiannis

The problem of locating an odor source in turbulent flows is central to key applications such as environmental monitoring and disaster response. We address this challenge by designing an algorithm based on Bayesian inference, which uses…

流体动力学 · 物理学 2025-04-11 Lorenzo Piro , Robin A. Heinonen , Massimo Cencini , Luca Biferale

Bayesian and frequentist inference are two fundamental paradigms in statistical estimation. Bayesian methods treat hypotheses as random variables, incorporating priors and updating beliefs via Bayes' theorem, whereas frequentist methods…

机器学习 · 计算机科学 2025-02-18 Sarthak Mittal , Yoshua Bengio , Nikolay Malkin , Guillaume Lajoie

Inverse problems, i.e., estimating parameters of physical models from experimental data, are ubiquitous in science and engineering. The Bayesian formulation is the gold standard because it alleviates ill-posedness issues and quantifies…

机器学习 · 统计学 2024-05-28 Sharmila Karumuri , Ilias Bilionis

Detecting Out-of-Distribution (OOD) inputs is crucial for improving the reliability of deep neural networks in the real-world deployment. In this paper, inspired by the inherent distribution shift between ID and OOD data, we propose a novel…

计算机视觉与模式识别 · 计算机科学 2024-10-11 Ao Ke , Wenlong Chen , Chuanwen Feng , Yukun Cao , Xike Xie , S. Kevin Zhou , Lei Feng

Accurate spatial-temporal prediction of network-based travelers' requests is crucial for the effective policy design of ridesharing platforms. Having knowledge of the total demand between various locations in the upcoming time slots enables…

机器学习 · 计算机科学 2025-04-01 Run Yang , Runpeng Dai , Siran Gao , Xiaocheng Tang , Fan Zhou , Hongtu Zhu

In the field of operational modal analysis (OMA), obtained modal information is frequently used to assess the current state of aerospace, mechanical, offshore and civil structures. However, the stochasticity of operational systems and the…

机器学习 · 统计学 2025-07-04 Brandon J. O'Connell , Max D. Champneys , Timothy J. Rogers

Ordinary differential equation (ODE) models are widely used to describe systems in many areas of science. To ensure these models provide accurate and interpretable representations of real-world dynamics, it is often necessary to infer…

统计方法学 · 统计学 2026-03-24 Selva Salimi , David J. Warne , Christopher Drovandi