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This paper presents a new method for anomaly detection in automated systems with time and compute sensitive requirements, such as autonomous driving, with unparalleled efficiency. As systems like autonomous driving become increasingly…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Andrew Gao , Jun Liu

Structured variational inference constitutes a core methodology in modern statistical applications. Unlike mean-field variational inference, the approximate posterior is assumed to have interdependent structure. We consider the natural…

Machine Learning · Statistics 2025-11-14 Shunan Sheng , Bohan Wu , Bennett Zhu , Sinho Chewi , Aram-Alexandre Pooladian

The Bayesian inference approach is widely used to tackle inverse problems due to its versatile and natural ability to handle ill-posedness. However, it often faces challenges when dealing with situations involving continuous fields or…

Numerical Analysis · Mathematics 2023-08-28 Xinchao Jiang , Xin Wang , Ziming Wen , Hu Wang

This paper considers data-driven chance-constrained stochastic optimization problems in a Bayesian framework. Bayesian posteriors afford a principled mechanism to incorporate data and prior knowledge into stochastic optimization problems.…

Statistics Theory · Mathematics 2023-08-07 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

We present here a general framework and a specific algorithm for predicting the destination, route, or more generally a pattern, of an ongoing journey, building on the recent work of [Y. Lassoued, J. Monteil, Y. Gu, G. Russo, R. Shorten,…

Machine Learning · Computer Science 2018-09-03 Jonathan P. Epperlein , Julien Monteil , Mingming Liu , Yingqi Gu , Sergiy Zhuk , Robert Shorten

We propose a distributed (single) target tracking scheme based on networked estimation and consensus algorithms over static sensor networks. The tracking part is based on linear time-difference-of-arrival (TDOA) measurement proposed in our…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Mohammadreza Doostmohammadian , Mohammad Pirani , Usman A. Khan

We study a Bayesian approach to nonparametric estimation of the periodic drift function of a one-dimensional diffusion from continuous-time data. Rewriting the likelihood in terms of local time of the process, and specifying a Gaussian…

Methodology · Statistics 2013-02-14 Y. Pokern , A. M. Stuart , J. H. van Zanten

The prior distribution on parameters of a sampling distribution is the usual starting point for Bayesian uncertainty quantification. In this paper, we present a different perspective which focuses on missing observations as the source of…

Methodology · Statistics 2021-11-23 Edwin Fong , Chris Holmes , Stephen G. Walker

Separating sources is a common challenge in applications such as speech enhancement and telecommunications, where distinguishing between overlapping sounds helps reduce interference and improve signal quality. Additionally, in multichannel…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-25 Linda Fabiani , Sebastian J. Schlecht , Isabel Haasler , Filip Elvander

We investigate the stochastic transfer synchronization problem, which seeks to synchronize the timetables of different routes in a transit network to reduce transfer waiting times, delay times, and unnecessary in-vehicle times. We present a…

Optimization and Control · Mathematics 2024-03-06 Zahra Ansarilari , Merve Bodur , Amer Shalaby

Public transport in sub-Saharan Africa (SSA) often operates in overcrowded conditions where existing automated systems fail to capture reliable passenger flow data. Leveraging onboard CCTV already deployed for security, we present a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Nthenya Kyatha , Jay Taneja

Diffusion Models (DMs) have achieved remarkable progress in generative modeling. However, the mismatch between the forward terminal distribution and reverse initial distribution introduces prior error, leading to deviations of sampling…

Machine Learning · Computer Science 2026-02-06 Zhanpeng Wang , Shenghao Li , Jiameng Che , Chen Wang , Shangling Jui , Na Lei , Zhongxuan Luo

Moment-based estimation filters have successfully aided spacecraft navigation for decades. However, future missions plan to venture into deep-space regimes with significant round-trip light-time telecommunication delays, operate in…

Earth and Planetary Astrophysics · Physics 2025-08-13 Benjamin L. Hanson , Todd A. Ely , Thomas R. Bewley , Aaron J. Rosengren

When deploying a trained machine learning model in the real world, it is inevitable to receive inputs from out-of-distribution (OOD) sources. For instance, in continual learning settings, it is common to encounter OOD samples due to the…

Machine Learning · Computer Science 2024-01-23 Chuanwen Feng , Wenlong Chen , Ao Ke , Yilong Ren , Xike Xie , S. Kevin Zhou

To deploy machine learning models in the real world, researchers have proposed many OOD detection algorithms to help models identify unknown samples during the inference phase and prevent them from making untrustworthy predictions. Unlike…

Machine Learning · Computer Science 2025-02-25 Heng Gao , Zhuolin He , Jian Pu

Deep neural networks (DNNs) often produce overconfident predictions on out-of-distribution (OOD) inputs, undermining their reliability in open-world environments. Singularities in semi-discrete optimal transport (OT) mark regions of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Keke Tang , Ziyong Du , Xiaofei Wang , Weilong Peng , Peican Zhu , Zhihong Tian

In this paper, we consider objective Bayesian inference of the generalized exponential distribution using the independence Jeffreys prior and validate the propriety of the posterior distribution under a family of structured priors. We…

Methodology · Statistics 2023-09-26 Aojun Li , Keying Ye , Min Wang

A crucial task in predictive maintenance is estimating the remaining useful life of physical systems. In the last decade, deep learning has improved considerably upon traditional model-based and statistical approaches in terms of predictive…

Machine Learning · Computer Science 2024-02-05 Luca Della Libera , Jacopo Andreoli , Davide Dalle Pezze , Mirco Ravanelli , Gian Antonio Susto

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

Machine Learning · Statistics 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato

In route selection problems, the driver's personal preferences will determine whether she prefers a route with a travel time that has a relatively low mean and high variance over one that has relatively high mean and low variance. In…

Optimization and Control · Mathematics 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra
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