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We propose a Gaussian mixture model for background subtraction in infrared imagery. Following a Bayesian approach, our method automatically estimates the number of Gaussian components as well as their parameters, while simultaneously it…

计算机视觉与模式识别 · 计算机科学 2015-06-30 Konstantinos Makantasis , Anastasios Doulamis , Nikolaos Doulamis

Gaussian processes (GPs) are powerful models for human-in-the-loop experiments due to their flexibility and well-calibrated uncertainty. However, GPs modeling human responses typically ignore auxiliary information, including a priori domain…

机器学习 · 计算机科学 2025-03-07 Kaiwen Wu , Craig Sanders , Benjamin Letham , Phillip Guan

Directed acyclic graphical models (DAGs) are often used to describe common structural properties in a family of probability distributions. This paper addresses the question of classifying DAGs up to an isomorphism. By considering Gaussian…

信息论 · 计算机科学 2014-12-24 Hajir Roozbehani , Yury Polyanskiy

This work provides a computationally efficient and statistically consistent moment-based estimator for mixtures of spherical Gaussians. Under the condition that component means are in general position, a simple spectral decomposition…

机器学习 · 计算机科学 2012-10-30 Daniel Hsu , Sham M. Kakade

Learning a common representation space between vision and language allows deep networks to relate objects in the image to the corresponding semantic meaning. We present a model that learns a shared Gaussian mixture representation imposing…

计算机视觉与模式识别 · 计算机科学 2022-06-15 Stephan Alaniz , Marco Federici , Zeynep Akata

Color transfer, which plays a key role in image editing, has attracted noticeable attention recently. It has remained a challenge to date due to various issues such as time-consuming manual adjustments and prior segmentation issues. In this…

计算机视觉与模式识别 · 计算机科学 2022-01-07 Chunzhi Gu , Xuequan Lu , Chao Zhang

Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices. We expand upon recent results in spectral analysis for…

统计理论 · 数学 2022-03-23 Denis Gaidashev , Ralf Pihlström , Martin Ryner

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

机器学习 · 计算机科学 2023-03-09 Florence Regol , Mark Coates

We consider a simulation optimization problem for a context-dependent decision-making. A Gaussian mixture model is proposed to capture the performance clustering phenomena of context-dependent designs. Under a Bayesian framework, we develop…

统计方法学 · 统计学 2020-12-15 Haidong Li , Henry Lam , Yijie Peng

We present a new subspace-based method to construct probabilistic models for high-dimensional data and highlight its use in anomaly detection. The approach is based on a statistical estimation of probability density using densities of…

机器学习 · 计算机科学 2021-08-16 Cetin Savkli , Catherine Schwartz

We derive an explicit link between Gaussian Markov random fields on metric graphs and graphical models, and in particular show that a Markov random field restricted to the vertices of the graph is, under mild regularity conditions, a…

概率论 · 数学 2025-01-08 David Bolin , Alexandre B. Simas , Jonas Wallin

We consider unsupervised estimation of mixtures of discrete graphical models, where the class variable corresponding to the mixture components is hidden and each mixture component over the observed variables can have a potentially different…

机器学习 · 统计学 2012-07-03 A. Anandkumar , D. Hsu , F. Huang , S. M. Kakade

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

机器学习 · 统计学 2016-03-10 Umamahesh Srinivas

A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

机器学习 · 计算机科学 2014-08-12 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

机器学习 · 统计学 2013-03-25 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

In recent years, diffusion models have gained popularity for their ability to generate higher-quality images in comparison to GAN models. However, like any other large generative models, these models require a huge amount of data,…

计算机视觉与模式识别 · 计算机科学 2023-12-21 Rajesh Shrestha , Bowen Xie

We develop here a semiparametric Gaussian mixture model (SGMM) for unsupervised learning with valuable spatial information taken into consideration. Specifically, we assume for each instance a random location. Then, conditional on this…

统计方法学 · 统计学 2025-10-21 Baichen Yu , Jin Liu , Hansheng Wang

Natural image statistics exhibit hierarchical dependencies across multiple scales. Representing such prior knowledge in non-factorial latent tree models can boost performance of image denoising, inpainting, deconvolution or reconstruction…

计算机视觉与模式识别 · 计算机科学 2012-07-03 Young Jun Ko , Matthias Seeger

The standard procedures for analysing hierarquical or grouped data are by (non)linear mixed models or generalized mixed models. However, the generalized additive models for location, scale and shape (GAMLSSs) also allow different types of…

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

统计方法学 · 统计学 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil