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An exact algorithm is presented for solving edge weighted graph partitioning problems. The algorithm is based on a branch and bound method applied to a continuous quadratic programming formulation of the problem. Lower bounds are obtained…

Optimization and Control · Mathematics 2009-12-10 William Hager , Dzung Phan , Hongchao Zhang

Point cloud segmentation is the foundation of 3D environmental perception for modern intelligent systems. To solve this problem and image segmentation, conditional random fields (CRFs) are usually formulated as discrete models in label…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Fei Yang , Franck Davoine , Huan Wang , Zhong Jin

We consider the class of optimization problems arising from computationally intensive L1-regularized M-estimators, where the function or gradient values are very expensive to compute. A particular instance of interest is the L1-regularized…

Machine Learning · Statistics 2015-01-26 Kai Zhong , Ian E. H. Yen , Inderjit S. Dhillon , Pradeep Ravikumar

Weakly-supervised segmentation with label-efficient sparse annotations has attracted increasing research attention to reduce the cost of laborious pixel-wise labeling process, while the pairwise affinity modeling techniques play an…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Wentong Li , Yuqian Yuan , Song Wang , Wenyu Liu , Dongqi Tang , Jian Liu , Jianke Zhu , Lei Zhang

Objective: Deformable image registration is a fundamental problem in medical image analysis, with applications such as longitudinal studies, population modeling, and atlas based image segmentation. Registration is often phrased as an…

Computer Vision and Pattern Recognition · Computer Science 2018-10-22 Simon Ekström , Filip Malmberg , Håkan Ahlström , Joel Kullberg , Robin Strand

In image processing, image segmentation is the process of partitioning a digital image into multiple image segment. Among state-of-the-art methods, Markov Random Fields (MRF) can be used to model dependencies between pixels, and achieve a…

Emerging Technologies · Computer Science 2024-01-05 Timothe Presles , Cyrille Enderli , Gilles Burel , El Houssain Baghious

We present a one-shot method for compressing large labeled graphs called Random Edge Coding. When paired with a parameter-free model based on P\'olya's Urn, the worst-case computational and memory complexities scale quasi-linearly and…

Machine Learning · Computer Science 2023-05-18 Daniel Severo , James Townsend , Ashish Khisti , Alireza Makhzani

While most existing segmentation methods usually combined the powerful feature extraction capabilities of CNNs with Conditional Random Fields (CRFs) post-processing, the result always limited by the fault of CRFs . Due to the notoriously…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 ZengShun Zhaoa , Yulong Wang , Ke Liu , Haoran Yang , Qian Sun , Heng Qiao

We describe a new optimization scheme for finding high-quality correlation clusterings in planar graphs that uses weighted perfect matching as a subroutine. Our method provides lower-bounds on the energy of the optimal correlation…

Computer Vision and Pattern Recognition · Computer Science 2012-08-03 Julian Yarkony , Alexander T. Ihler , Charless C. Fowlkes

Graph-regularized semi-supervised learning has been used effectively for classification when (i) instances are connected through a graph, and (ii) labeled data is scarce. If available, using multiple relations (or graphs) between the…

Machine Learning · Computer Science 2015-10-22 Junting Ye , Leman Akoglu

Centered Gaussian random fields (GRFs) indexed by compacta such as smooth, bounded Euclidean domains or smooth, compact and orientable manifolds are determined by their covariance operators. We consider centered GRFs given as variational…

Statistics Theory · Mathematics 2021-03-09 Helmut Harbrecht , Lukas Herrmann , Kristin Kirchner , Christoph Schwab

We propose a novel spatially continuous framework for convex relaxations based on functional lifting. Our method can be interpreted as a sublabel-accurate solution to multilabel problems. We show that previously proposed functional lifting…

Computer Vision and Pattern Recognition · Computer Science 2015-12-07 Thomas Möllenhoff , Emanuel Laude , Michael Moeller , Jan Lellmann , Daniel Cremers

The standard training method of Conditional Random Fields (CRFs) is very slow for large-scale applications. As an alternative, piecewise training divides the full graph into pieces, trains them independently, and combines the learned…

Machine Learning · Computer Science 2012-12-05 Zhemin Zhu , Djoerd Hiemstra , Peter Apers , Andreas Wombacher

An autonomous variational inference algorithm for arbitrary graphical models requires the ability to optimize variational approximations over the space of model parameters as well as over the choice of tractable families used for the…

Machine Learning · Computer Science 2012-07-19 Eric P. Xing , Michael I. Jordan , Stuart Russell

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

Social and Information Networks · Computer Science 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke

With the rising popularity of intelligent mobile devices, it is of great practical significance to develop accurate, realtime and energy-efficient image Super-Resolution (SR) inference methods. A prevailing method for improving the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-20 Hu Wang , Peng Chen , Bohan Zhuang , Chunhua Shen

Clustered Federated Multitask Learning (CFL) has gained considerable attention as an effective strategy for overcoming statistical challenges, particularly when dealing with non independent and identically distributed (non IID) data across…

Networking and Internet Architecture · Computer Science 2024-01-22 Moqbel Hamood , Abdullatif Albaseer , Mohamed Abdallah , Ala Al-Fuqaha

In this paper, we propose a new graph-based transform and illustrate its potential application to signal compression. Our approach relies on the careful design of a graph that optimizes the overall rate-distortion performance through an…

Information Theory · Computer Science 2019-07-31 Giulia Fracastoro , Dorina Thanou , Pascal Frossard

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

We propose a new CNN-CRF end-to-end learning framework, which is based on joint stochastic optimization with respect to both Convolutional Neural Network (CNN) and Conditional Random Field (CRF) parameters. While stochastic gradient descent…

Computer Vision and Pattern Recognition · Computer Science 2016-09-15 Alexander Kirillov , Dmitrij Schlesinger , Shuai Zheng , Bogdan Savchynskyy , Philip H. S. Torr , Carsten Rother