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In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

Numerical Analysis · Mathematics 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

Recovering clear structures from severely blurry inputs is a challenging problem due to the large movements between the camera and the scene. Although some works apply segmentation maps on human face images for deblurring, they cannot…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Pei Wang , Danna Xue , Yu Zhu , Jinqiu Sun , Qingsen Yan , Sung-eui Yoon , Yanning Zhang

The Dirichlet Process Mixture Model (DPMM) is a Bayesian non-parametric approach widely used for density estimation and clustering. In this manuscript, we study the choice of prior for the variance or precision matrix when Gaussian kernels…

Methodology · Statistics 2022-02-09 Wei Jing , Michail Papathomas , Silvia Liverani

With the proliferation of sophisticated cameras in modern society, the demand for accurate and visually pleasing images is increasing. However, the quality of an image captured by a camera may be degraded by noise. Thus, some processing of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-18 Kelum Gajamannage

Retouching is an essential task in post-manipulation of raw photographs. Generative editing, guided by text or strokes, provides a new tool accessible to users but can easily change the identity of the original objects in unacceptable and…

Graphics · Computer Science 2025-05-12 Niladri Shekhar Dutt , Duygu Ceylan , Niloy J. Mitra

The Expectation-Maximization (EM) algorithm is one of the most popular methods used to solve the problem of parametric distribution-based clustering in unsupervised learning. In this paper, we propose to analyze a generalized EM (GEM)…

Optimization and Control · Mathematics 2021-05-19 Sarthak Chatterjee , Orlando Romero , Sérgio Pequito

We treat an image restoration problem with a Poisson noise chan- nel using a Bayesian framework. The Poisson randomness might be appeared in observation of low contrast object in the field of imaging. The noise observation is often hard to…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Hayaru Shouno

Multiple patterning lithography (MPL) is regarded as one of the most promising ways of overcoming the resolution limitations of conventional optical lithography due to the delay of next-generation lithography technology. As the feature size…

Artificial Intelligence · Computer Science 2023-03-28 Guojin Chen , Haoyu Yang , Bei Yu

Free-form image inpainting is the task of reconstructing parts of an image specified by an arbitrary binary mask. In this task, it is typically desired to generalize model capabilities to unseen mask types, rather than learning certain mask…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Moein Heidari , Alireza Morsali , Tohid Abedini , Samin Heydarian

Recently, learned image compression methods have developed rapidly and exhibited excellent rate-distortion performance when compared to traditional standards, such as JPEG, JPEG2000 and BPG. However, the learning-based methods suffer from…

Image and Video Processing · Electrical Eng. & Systems 2022-06-24 Bowen Li , Yao Xin , Youneng Bao , Fanyang Meng , Yongsheng Liang , Wen Tan

Although significant progress has been made in enhancing visibility, retrieving texture details, and mitigating noise in Low-Light (LL) images, the challenge persists in applying current Low-Light Image Enhancement (LLIE) methods to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Han Zhou , Wei Dong , Xiaohong Liu , Yulun Zhang , Guangtao Zhai , Jun Chen

Endmember variability is an important factor for accurately unveiling vital information relating the pure materials and their distribution in hyperspectral images. Recently, the extended linear mixing model (ELMM) has been proposed as a…

Computer Vision and Pattern Recognition · Computer Science 2017-10-24 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

3D Gaussian Splatting (3DGS) has emerged as a core technique for 3D representation. Its effectiveness largely depends on precise camera poses and accurate point cloud initialization, which are often derived from pretrained Multi-View Stereo…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Chong Cheng , Zijian Wang , Sicheng Yu , Yu Hu , Nanjie Yao , Hao Wang

Density modeling is notoriously difficult for high dimensional data. One approach to the problem is to search for a lower dimensional manifold which captures the main characteristics of the data. Recently, the Gaussian Process Latent…

Machine Learning · Statistics 2010-07-14 Hannes Nickisch , Carl Edward Rasmussen

This paper addresses the problem of object recognition given a set of images as input (e.g., multiple camera sources and video frames). Convolutional neural network (CNN)-based frameworks do not exploit these sets effectively, processing a…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Lincon S. Souza , Naoya Sogi , Bernardo B. Gatto , Takumi Kobayashi , Kazuhiro Fukui

Region-of-Interest (ROI)-based image compression allocates bits unevenly according to the semantic importance of different regions. Such differentiated coding typically induces a sharp-peaked and heavy-tailed distribution. This distribution…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Kai Hu , Junfu Tan , Fang Xu , Ramy Samy , Yu Liu

The Gaussian process latent variable model (GPLVM) is a popular probabilistic method used for nonlinear dimension reduction, matrix factorization, and state-space modeling. Inference for GPLVMs is computationally tractable only when the…

Machine Learning · Statistics 2023-06-16 Michael Minyi Zhang , Gregory W. Gundersen , Barbara E. Engelhardt

Gaussian Mixture Models (GMM) do not adapt well to curved and strongly nonlinear data. However, we can use Gaussians in the curvilinear coordinate systems to solve this problem. Moreover, such a solution allows for the adaptation of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Krzysztof Byrski , Przemysław Spurek , Jacek Tabor

Gaussian Mixture Models are a powerful tool in Data Science and Statistics that are mainly used for clustering and density approximation. The task of estimating the model parameters is in practice often solved by the Expectation…

Machine Learning · Statistics 2022-08-25 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

Learning Gaussian Mixture Models (GMMs) is a fundamental problem in machine learning, with the Expectation-Maximization (EM) algorithm and its popular variant gradient EM being arguably the most widely used algorithms in practice. In the…

Machine Learning · Computer Science 2025-06-10 Mo Zhou , Weihang Xu , Maryam Fazel , Simon S. Du