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We implement Bayesian model selection and parameter estimation for the case of fractional Brownian motion with measurement noise and a constant drift. The approach is tested on artificial trajectories and shown to make estimates that match…

Data Analysis, Statistics and Probability · Physics 2018-04-05 Jens Krog , Lars H. Jacobsen , Frederik W. Lund , Daniel Wüstner , Michael A. Lomholt

As recent advances in mobile camera technology have enabled the capability to capture high-resolution images, such as 4K images, the demand for an efficient deblurring model handling large motion has increased. In this paper, we discover…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Insoo Kim , Jae Seok Choi , Geonseok Seo , Kinam Kwon , Jinwoo Shin , Hyong-Euk Lee

State estimation of dynamical systems is crucial for providing new decision-making and system automation information in different applications. However, the assumptions on the standard computational models for sensor measurements can be…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Aamir Hussain Chughtai , Arslan Majal , Muhammad Tahir , Momin Uppal

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

In this paper, we propose a new framework to detect adversarial examples motivated by the observations that random components can improve the smoothness of predictors and make it easier to simulate the output distribution of a deep neural…

Machine Learning · Statistics 2024-02-26 Yao Li , Tongyi Tang , Cho-Jui Hsieh , Thomas C. M. Lee

We investigate methods for determining if a planar surface contains geometric deviations (e.g., protrusions, objects, divots, or cliffs) using only an instantaneous measurement from a miniature optical time-of-flight sensor. The key to our…

Robotics · Computer Science 2024-08-08 Carter Sifferman , William Sun , Mohit Gupta , Michael Gleicher

This paper focuses on improving object detection performance by addressing the issue of image distortions, commonly encountered in uncontrolled acquisition environments. High-level computer vision tasks such as object detection,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Vamshi Krishna Kancharla , Neelam sinha

In this paper, we aim to design and analyze distributed Bayesian estimation algorithms for sensor networks. The challenges we address are to (i) derive a distributed provably-correct algorithm in the functional space of probability…

Machine Learning · Computer Science 2025-03-25 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

Robust tracking of a target in a clutter environment is an important and challenging task. In recent years, the nearest neighbor methods and probabilistic data association filters were proposed. However, the performance of these methods…

Machine Learning · Computer Science 2020-12-18 Bahman Moraffah , Christ Richmond , Raha Moraffah , Antonia Papandreou-Suppappola

Diffuse optical tomography (DOT) utilises near-infrared light for imaging spatially distributed optical parameters, typically the absorption and scattering coefficients. The image reconstruction problem of DOT is an ill-posed inverse…

Computational Physics · Physics 2021-12-15 Meghdoot Mozumder , Andreas Hauptmann , Ilkka Nissilä , Simon R. Arridge , Tanja Tarvainen

We introduce a novel and scalable Bayesian framework for multivariate-density-density regression (DDR), designed to model relationships between multivariate distributions. Our approach addresses the critical issue of distributions residing…

Methodology · Statistics 2025-09-24 Khai Nguyen , Yang Ni , Peter Mueller

While the formulation of most data assimilation schemes assumes an unbiased observation model error, in real applications, model error with nontrivial biases is unavoidable. A practical example is the error in the radiative transfer model…

Methodology · Statistics 2016-11-17 John Harlim , Tyrus Berry

In this paper, we address the problem of estimating and removing non-uniform motion blur from a single blurry image. We propose a deep learning approach to predicting the probabilistic distribution of motion blur at the patch level using a…

Computer Vision and Pattern Recognition · Computer Science 2015-04-14 Jian Sun , Wenfei Cao , Zongben Xu , Jean Ponce

We present a learning-based approach for removing unwanted obstructions, such as window reflections, fence occlusions or raindrops, from a short sequence of images captured by a moving camera. Our method leverages the motion differences…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 Yu-Lun Liu , Wei-Sheng Lai , Ming-Hsuan Yang , Yung-Yu Chuang , Jia-Bin Huang

Salient object detection, which aims to identify and locate the most salient pixels or regions in images, has been attracting more and more interest due to its various real-world applications. However, this vision task is quite challenging,…

Computer Vision and Pattern Recognition · Computer Science 2018-04-18 Pingping Zhang , Wei Liu , Huchuan Lu , Chunhua Shen

The problem of radar detection in compound Gaussian clutter when a radar signature is not completely known has not been considered yet and is addressed in this paper. We proposed a robust technique to detect, based on the generalized…

Signal Processing · Electrical Eng. & Systems 2017-10-10 Mai P. T. Nguyen , I. Song

Most modern imaging systems incorporate a computational pipeline to infer the image of interest from acquired measurements. The Bayesian approach to solve such ill-posed inverse problems involves the characterization of the posterior…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Pakshal Bohra , Thanh-an Pham , Jonathan Dong , Michael Unser

Bayesian density deconvolution using nonparametric prior distributions is a useful alternative to the frequentist kernel based deconvolution estimators due to its potentially wide range of applicability, straightforward uncertainty…

Statistics Theory · Mathematics 2013-09-10 Abhra Sarkar , Debdeep Pati , Bani K. Mallick , Raymond J. Carroll

Blind image deblurring is an important yet very challenging problem in low-level vision. Traditional optimization based methods generally formulate this task as a maximum-a-posteriori estimation or variational inference problem, whose…

Image and Video Processing · Electrical Eng. & Systems 2021-06-08 Hui Wang , Zongsheng Yue , Qian Zhao , Deyu Meng

Modeling statistics of image priors is useful for image super-resolution, but little attention has been paid from the massive works of deep learning-based methods. In this work, we propose a Bayesian image restoration framework, where…

Image and Video Processing · Electrical Eng. & Systems 2022-04-05 Shangqi Gao , Xiahai Zhuang