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Dense conditional random fields (CRFs) have become a popular framework for modelling several problems in computer vision such as stereo correspondence and multi-class semantic segmentation. By modelling long-range interactions, dense CRFs…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Thomas Joy , Alban Desmaison , Thalaiyasingam Ajanthan , Rudy Bunel , Mathieu Salzmann , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar

Dense conditional random fields (CRF) with Gaussian pairwise potentials have emerged as a popular framework for several computer vision applications such as stereo correspondence and semantic segmentation. By modeling long-range…

Computer Vision and Pattern Recognition · Computer Science 2016-08-23 Alban Desmaison , Rudy Bunel , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar

Conditional Random Fields (CRF) have been widely used in a variety of computer vision tasks. Conventional CRFs typically define edges on neighboring image pixels, resulting in a sparse graph such that efficient inference can be performed.…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Peng Wang , Chunhua Shen , Anton van den Hengel

Are we using the right potential functions in the Conditional Random Field models that are popular in the Vision community? Semantic segmentation and other pixel-level labelling tasks have made significant progress recently due to the deep…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Måns Larsson , Anurag Arnab , Fredrik Kahl , Shuai Zheng , Philip Torr

Conditional Random Fields (CRFs) constitute a popular and efficient approach for supervised sequence labelling. CRFs can cope with large description spaces and can integrate some form of structural dependency between labels. In this…

Machine Learning · Computer Science 2015-05-14 Nataliya Sokolovska , Thomas Lavergne , Olivier Cappé , François Yvon

Most state-of-the-art techniques for multi-class image segmentation and labeling use conditional random fields defined over pixels or image regions. While region-level models often feature dense pairwise connectivity, pixel-level models are…

Computer Vision and Pattern Recognition · Computer Science 2012-10-23 Philipp Krähenbühl , Vladlen Koltun

Fully connected pairwise Conditional Random Fields (Full-CRF) with Gaussian edge weights can achieve superior results compared to sparsely connected CRFs. However, traditional methods for Full-CRFs are too expensive. Previous work develops…

Computer Vision and Pattern Recognition · Computer Science 2018-09-14 Olga Veksler

Sparse Conditional Random Field (CRF) is a powerful technique in computer vision and natural language processing for structured prediction. However, solving sparse CRFs in large-scale applications remains challenging. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Weizhong Zhang , Shuang Qiu

In this work we introduce a fully-connected graph structure in the Deep Gaussian Conditional Random Field (G-CRF) model. For this we express the pairwise interactions between pixels as the inner-products of low-dimensional embeddings,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Siddhartha Chandra , Iasonas Kokkinos

This work considers the problem of computing the canonical polyadic decomposition (CPD) of large tensors. Prior works mostly leverage data sparsity to handle this problem, which is not suitable for handling dense tensors that often arise in…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Xiao Fu , Shahana Ibrahim , Hoi-To Wai , Cheng Gao , Kejun Huang

In this work we propose a structured prediction technique that combines the virtues of Gaussian Conditional Random Fields (G-CRF) with Deep Learning: (a) our structured prediction task has a unique global optimum that is obtained exactly…

Computer Vision and Pattern Recognition · Computer Science 2016-11-30 Siddhartha Chandra , Iasonas Kokkinos

Superpixel-based Higher-order Conditional Random Fields (CRFs) are effective in enforcing long-range consistency in pixel-wise labeling problems, such as semantic segmentation. However, their major short coming is considerably longer time…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Li Sulimowicz , Ishfaq Ahmad , Alexander Aved

Linear programming (LP) relaxation is a standard technique for solving hard combinatorial optimization (CO) problems. Here we present a gradient descent algorithm which exploits the special structure of some LP relaxations induced by CO…

Optimization and Control · Mathematics 2020-11-17 Alexey Antonov

In this paper, a multi-parameterized proximal point algorithm combining with a relaxation step is developed for solving convex minimization problem subject to linear constraints. We show its global convergence and sublinear convergence rate…

Numerical Analysis · Mathematics 2019-07-11 Jianchao Bai , Ke Guo , Xiaokai Chang

Mean field approximation methodology has laid the foundation of modern Continuous Random Field (CRF) based solutions for the refinement of semantic segmentation. In this paper, we propose to relax the hard constraint of mean field…

Computer Vision and Pattern Recognition · Computer Science 2022-02-02 Xi Mo , Xiangyu Chen , Cuncong Zhong , Rui Li , Kaidong Li , Usman Sajid

Markov random fields (MRFs) are a powerful tool for modelling statistical dependencies for a set of random variables using a graphical representation. An important computational problem related to MRFs, called maximum a posteriori (MAP)…

Data Structures and Algorithms · Computer Science 2017-08-11 Alexander Bauer , Shinichi Nakajima , Nico Görnitz , Klaus-Robert Müller

The (constrained) minimization of a ratio of set functions is a problem frequently occurring in clustering and community detection. As these optimization problems are typically NP-hard, one uses convex or spectral relaxations in practice.…

Machine Learning · Statistics 2013-06-17 Thomas Bühler , Syama Sundar Rangapuram , Simon Setzer , Matthias Hein

We propose a novel compact linear programming (LP) relaxation for binary sub-modular MRF in the context of object segmentation. Our model is obtained by linearizing an $l_1^+$-norm derived from the quadratic programming (QP) form of the MRF…

Computer Vision and Pattern Recognition · Computer Science 2014-04-10 Junyan Wang , Sai-Kit Yeung

For the challenging semantic image segmentation task the most efficient models have traditionally combined the structured modelling capabilities of Conditional Random Fields (CRFs) with the feature extraction power of CNNs. In more recent…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 Marvin T. T. Teichmann , Roberto Cipolla

We present LS-CRF, a new method for very efficient large-scale training of Conditional Random Fields (CRFs). It is inspired by existing closed-form expressions for the maximum likelihood parameters of a generative graphical model with tree…

Machine Learning · Computer Science 2014-03-28 Alexander Kolesnikov , Matthieu Guillaumin , Vittorio Ferrari , Christoph H. Lampert
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