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Pairwise Markov Random Fields (MRFs) or undirected graphical models are parsimonious representations of joint probability distributions. Variables correspond to nodes of a graph, with edges between nodes corresponding to conditional…

Statistics Theory · Mathematics 2018-09-18 Eric Janofsky

Gaussian boson sampling (GBS) allows for a way to demonstrate quantum supremacy with the relatively modest experimental resources of squeezed light sources, linear optics, and photon detection. In a realistic experimental setting, numerous…

Quantum Physics · Physics 2022-03-09 Junheng Shi , Tim Byrnes

We propose a Bayesian image super-resolution (SR) method with a causal Gaussian Markov random field (MRF) prior. SR is a technique to estimate a spatially high-resolution image from given multiple low-resolution images. An MRF model with…

Computer Vision and Pattern Recognition · Computer Science 2015-05-30 Takayuki Katsuki , Akira Torii , Masato Inoue

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

Machine Learning · Computer Science 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

Based on point spread function (PSF) engineering and astigmatism due to a pair of cylindrical lenses, a novel compressed imaging mechanism is proposed to achieve single-shot incoherent 3D imaging. The speckle-like PSF of the imaging system…

Optics · Physics 2021-05-24 Qiong Gao , Weidong Qu , Ming Shao , Wei Liu , Xiangzheng Cheng

This paper introduces a novel paradigm for the generalizable neural radiance field (NeRF). Previous generic NeRF methods combine multiview stereo techniques with image-based neural rendering for generalization, yielding impressive results,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Jiaxu Wang , Ziyi Zhang , Renjing Xu

A simple Gaussian size deconvolution method is routinely used to remove the blur of observed images caused by insufficient angular resolutions of existing telescopes, thereby to estimate the physical sizes of extracted sources and…

Instrumentation and Methods for Astrophysics · Physics 2023-07-26 Alexander Men'shchikov

The knowledge of the exact structure of the optical system PSF enables a high-quality image reconstruction in fluorescence microscopy. Accurate PSF models account for the vector nature of light and the phase and amplitude modifications.…

3D Gaussian Splatting (3DGS) has recently emerged in computer vision as a promising rendering technique. By adapting the principles of Elliptical Weighted Average (EWA) splatting to a modern differentiable pipeline, 3DGS enables real-time,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Ling Chen , Bao Yang

We construct a Gaussian random field (GRF) that combines fractional smoothness with spatially varying anisotropy. The GRF is defined through a stochastic partial differential equation (SPDE), where the range, marginal variance, and…

Methodology · Statistics 2025-12-23 Elling Svee , Geir-Arne Fuglstad

Gaussian conditional random fields (GCRF) are a well-known used structured model for continuous outputs that uses multiple unstructured predictors to form its features and at the same time exploits dependence structure among outputs, which…

Machine Learning · Computer Science 2019-02-04 Andrija Petrović , Mladen Nikolić , Miloš Jovanović , Boris Delibašić

Sparse-view 3D reconstruction is a major challenge in computer vision, aiming to create complete three-dimensional models from limited viewing angles. Key obstacles include: 1) a small number of input images with inconsistent information;…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Bi'an Du , Lingbei Meng , Wei Hu

In the post-pandemic era, wearing face masks has posed great challenge to the ordinary face recognition. In the previous study, researchers has applied pretrained VGG16, and ResNet50 to extract features on the elaborate curated existing…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Rui Cai , Xuying Ning , Peter N. Belhumeur

There is growing interest in the use of coded aperture imaging systems for a variety of applications. Using an analysis framework based on mutual information, we examine the fundamental limits of such systems---and the associated optimum…

Image and Video Processing · Electrical Eng. & Systems 2017-12-14 Adam Yedidia , Christos Thrampoulidis , Gregory Wornell

Diffusion models have enabled remarkably high-quality medical image generation, yet it is challenging to enforce anatomical constraints in generated images. To this end, we propose a diffusion model-based method that supports…

Image and Video Processing · Electrical Eng. & Systems 2024-06-21 Nicholas Konz , Yuwen Chen , Haoyu Dong , Maciej A. Mazurowski

We present self-speculative masked diffusions, a new class of masked diffusion generative models for discrete data that require significantly fewer function evaluations to generate samples. Standard masked diffusion models predict…

Machine Learning · Statistics 2026-03-09 Andrew Campbell , Valentin De Bortoli , Jiaxin Shi , Arnaud Doucet

Advances in photonics require photon-number resolved simulations of quantum optical experiments with Gaussian states. We demonstrate a simple and versatile method to simulate the photon statistics of general multimode Gaussian states. The…

Quantum Physics · Physics 2023-03-06 Erik Fitzke , Florian Niederschuh , Thomas Walther

Despite Neural Radiance Fields (NeRF) showing compelling results in photorealistic novel views synthesis of real-world scenes, most existing approaches require accurate prior camera poses. Although approaches for jointly recovering the…

Computer Vision and Pattern Recognition · Computer Science 2022-04-13 Shin-Fang Chng , Sameera Ramasinghe , Jamie Sherrah , Simon Lucey

Uncertainty in the wide-angle Point Spread Function (PSF) at large angles (tens of arcseconds and beyond) is one of the dominant sources of error in a number of important quantities in observational astronomy. Examples include the stellar…

Core-periphery structure is an essential mesoscale feature in complex networks. Previous researches mostly focus on discriminative approaches while in this work, we propose a generative model called masked Bayesian non-negative matrix…

Social and Information Networks · Computer Science 2024-01-17 Zhonghao Wang , Ru Yuan , Jiaye Fu , Ka-Chun Wong , Chengbin Peng
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