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In this paper we present a novel slanted-plane MRF model which reasons jointly about occlusion boundaries as well as depth. We formulate the problem as the one of inference in a hybrid MRF composed of both continuous (i.e., slanted 3D…

Computer Vision and Pattern Recognition · Computer Science 2012-04-09 Koichiro Yamaguchi , Tamir Hazan , David McAllester , Raquel Urtasun

It is now well known that Markov random fields (MRFs) are particularly effective for modeling image priors in low-level vision. Recent years have seen the emergence of two main approaches for learning the parameters in MRFs: (1)…

Computer Vision and Pattern Recognition · Computer Science 2014-01-17 Yunjin Chen , Thomas Pock , René Ranftl , Horst Bischof

Hidden Markov Models (HMM) model a sequence of observations that are dependent on a hidden (or latent) state that follow a Markov chain. These models are widely used in diverse fields including ecology, speech recognition, and…

Optimization and Control · Mathematics 2024-09-05 Sidonie Foulon , Thérèse Truong , Anne-Louise Leutenegger , Hervé Perdry

Graphical models for structured domains are powerful tools, but the computational complexities of combinatorial prediction spaces can force restrictions on models, or require approximate inference in order to be tractable. Instead of…

Machine Learning · Computer Science 2013-09-27 Stephen Bach , Bert Huang , Ben London , Lise Getoor

Eye Movement analysis with Hidden Markov Models (EMHMM) is a method for modeling eye fixation sequences using hidden Markov models (HMMs). In this report, we run a simulation study to investigate the estimation error for learning HMMs with…

Machine Learning · Statistics 2019-06-26 Antoni B. Chan , Janet H. Hsiao

Most existing methods for object segmentation in computer vision are formulated as a labeling task. This, in general, could be transferred to a pixel-wise label assignment task, which is quite similar to the structure of hidden Markov…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Shangxuan Wu , Xinshuo Weng

Inspired by the hierarchical hidden Markov models (HHMM), we present the hierarchical semi-Markov conditional random field (HSCRF), a generalisation of embedded undirectedMarkov chains tomodel complex hierarchical, nestedMarkov processes.…

Machine Learning · Statistics 2010-09-13 Tran The Truyen , Dinh Q. Phung , Hung H. Bui , Svetha Venkatesh

Many problems in real-world applications involve predicting several random variables which are statistically related. Markov random fields (MRFs) are a great mathematical tool to encode such relationships. The goal of this paper is to…

Machine Learning · Computer Science 2015-04-29 Liang-Chieh Chen , Alexander G. Schwing , Alan L. Yuille , Raquel Urtasun

Expectation maximisation (EM) is an unsupervised learning method for estimating the parameters of a finite mixture distribution. It works by introducing "hidden" or "latent" variables via Baum's auxiliary function $Q$ that allow the joint…

Machine Learning · Computer Science 2022-05-19 Graham W. Pulford

Non-homogeneous hidden Markov models (NHHMM) are a subclass of dependent mixture models used for semi-supervised learning, where both transition probabilities between the latent states and mean parameter of the probability distribution of…

Machine Learning · Statistics 2019-12-23 Aliaksandr Hubin

In single-photon light detection and ranging (SP-LiDAR) systems, the histogram distortion due to hardware dead time fundamentally limits the precision of depth estimation. To compensate for the dead time effects, the photon registration…

Signal Processing · Electrical Eng. & Systems 2024-07-04 Weijian Zhang , Hashan K. Weerasooriya , Prateek Chennuri , Stanley H. Chan

Central to the application of many multi-view geometry algorithms is the extraction of matching points between multiple viewpoints, enabling classical tasks such as camera pose estimation and 3D reconstruction. Many approaches that…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Alexander Mai , Allen Yang , Dominique E. Meyer

Hidden Quantum Markov Models (HQMMs) can be thought of as quantum probabilistic graphical models that can model sequential data. We extend previous work on HQMMs with three contributions: (1) we show how classical hidden Markov models…

Machine Learning · Statistics 2017-10-26 Siddarth Srinivasan , Geoff Gordon , Byron Boots

Solving the Maximum a Posteriori on Markov Random Field, MRF-MAP, is a prevailing method in recent interactive image segmentation tools. Although mathematically explicit in its computational targets, and impressive for the segmentation…

Computer Vision and Pattern Recognition · Computer Science 2012-01-17 Zhao Qiyang

To build the connectomics map of the brain, we developed a new algorithm that can automatically refine the Membrane Detection Probability Maps (MDPM) generated to perform automatic segmentation of electron microscopy (EM) images. To achieve…

Neural and Evolutionary Computing · Computer Science 2015-06-22 Xundong Wu

In this paper we describe a general probabilistic framework for modeling waveforms such as heartbeats from ECG data. The model is based on segmental hidden Markov models (as used in speech recognition) with the addition of random effects to…

Applications · Statistics 2012-07-19 Seyoung Kim , Padhraic Smyth , Stefan Luther

Semantic segmentation (i.e. image parsing) aims to annotate each image pixel with its corresponding semantic class label. Spatially consistent labeling of the image requires an accurate description and modeling of the local contextual…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Hasan F. Ates , Sercan Sunetci

We aim to improve segmentation through the use of machine learning tools during region agglomeration. We propose an active learning approach for performing hierarchical agglomerative segmentation from superpixels. Our method combines…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Juan Nunez-Iglesias , Ryan Kennedy , Toufiq Parag , Jianbo Shi , Dmitri B. Chklovskii

Estimation in the deformable template model is a big challenge in image analysis. The issue is to estimate an atlas of a population. This atlas contains a template and the corresponding geometrical variability of the observed shapes. The…

Statistics Theory · Mathematics 2013-09-09 Stéphanie Allassonniere , Estelle Kuhn

We propose the NeRF-LEBM, a likelihood-based top-down 3D-aware 2D image generative model that incorporates 3D representation via Neural Radiance Fields (NeRF) and 2D imaging process via differentiable volume rendering. The model represents…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Yaxuan Zhu , Jianwen Xie , Ping Li