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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

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

Graph kernels have become an established and widely-used technique for solving classification tasks on graphs. This survey gives a comprehensive overview of techniques for kernel-based graph classification developed in the past 15 years. We…

Machine Learning · Computer Science 2020-02-05 Nils M. Kriege , Fredrik D. Johansson , Christopher Morris

Multi-scale deep CNNs have been used successfully for problems mapping each pixel to a label, such as depth estimation and semantic segmentation. It has also been shown that such architectures are reusable and can be used for multiple…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Arsalan Mousavian , Hamed Pirsiavash , Jana Kosecka

Given the recent advances with image-generating algorithms, deep image completion methods have made significant progress. However, state-of-art methods typically provide poor cross-scene generalization, and generated masked areas often…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Pourya Shamsolmoali , Masoumeh Zareapoor , Eric Granger

This paper proposes an affinity fusion graph framework to effectively connect different graphs with highly discriminating power and nonlinearity for natural image segmentation. The proposed framework combines adjacency-graphs and kernel…

Computer Vision and Pattern Recognition · Computer Science 2021-01-18 Yang Zhang , Moyun Liu , Jingwu He , Fei Pan , Yanwen Guo

Used in the paper is an overcomplete piecewise-polynomial image model incorporating sparsity. The paper shows that using such a model, the edges in the image can be resolved robustly with respect to noise. Two variants of the proposed…

Optimization and Control · Mathematics 2018-10-16 Michaela Novosadová , Pavel Rajmic

This paper addresses semantic image segmentation by incorporating rich information into Markov Random Field (MRF), including high-order relations and mixture of label contexts. Unlike previous works that optimized MRFs using iterative…

Computer Vision and Pattern Recognition · Computer Science 2015-09-25 Ziwei Liu , Xiaoxiao Li , Ping Luo , Chen Change Loy , Xiaoou Tang

This paper studies inference acceleration using distributed convolutional neural networks (CNNs) in collaborative edge computing network. To avoid inference accuracy loss in inference task partitioning, we propose receptive field-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-26 Nan Li , Alexandros Iosifidis , Qi Zhang

In computer vision pixelwise dense prediction is the task of predicting a label for each pixel in the image. Convolutional neural networks achieve good performance on this task, while being computationally efficient. In this paper we carry…

Computation and Language · Computer Science 2016-12-15 Tom Sercu , Vaibhava Goel

The present work deals with active sampling of graph nodes representing training data for binary classification. The graph may be given or constructed using similarity measures among nodal features. Leveraging the graph for classification…

Machine Learning · Statistics 2018-10-17 Dimitris Berberidis , Georgios B. Giannakis

Recent progress of deep image classification models has provided great potential to improve state-of-the-art performance in related computer vision tasks. However, the transition to semantic segmentation is hampered by strict memory…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Ivan Krešo , Josip Krapac , Siniša Šegvić

Image segmentation is a popular area of research in computer vision that has many applications in automated image processing. A recent technique called piecewise flat embeddings (PFE) has been proposed for use in image segmentation; PFE…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Renee T. Meinhold , Tyler L. Hayes , Nathan D. Cahill

In this paper, we propose an accurate edge detector using richer convolutional features (RCF). Since objects in nature images have various scales and aspect ratios, the automatically learned rich hierarchical representations by CNNs are…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Yun Liu , Ming-Ming Cheng , Xiaowei Hu , Kai Wang , Xiang Bai

Face parsing infers a pixel-wise label to each facial component, which has drawn much attention recently. Previous methods have shown their efficiency in face parsing, which however overlook the correlation among different face regions. The…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Gusi Te , Yinglu Liu , Wei Hu , Hailin Shi , Tao Mei

This paper presents a methodology for image classification using Graph Neural Network (GNN) models. We transform the input images into region adjacency graphs (RAGs), in which regions are superpixels and edges connect neighboring…

Machine Learning · Computer Science 2020-11-17 Pedro H. C. Avelar , Anderson R. Tavares , Thiago L. T. da Silveira , Cláudio R. Jung , Luís C. Lamb

This paper considers belief propagation algorithm over pair-wise graphical models to develop low complexity, iterative multiple-input multiple-output (MIMO) detectors. The pair-wise graphical model is a bipartite graph where a pair of…

Information Theory · Computer Science 2013-04-09 Seokhyun Yoon , Chan-Byoung Chae

Link prediction in structured-data is an important problem for many applications, especially for recommendation systems. Existing methods focus on how to learn the node representation based on graph-based structure. High-dimensional sparse…

Social and Information Networks · Computer Science 2021-12-28 Yifei Zhao , Mingdong Ou , Rongzhi Zhang , Meng Li

A connected component labeling algorithm is developed for implicitly-defined domains specified by multivariate polynomials. The algorithm operates by recursively subdividing the constraint domain into hyperrectangular subcells until the…

Numerical Analysis · Mathematics 2022-11-29 Robert I. Saye

A graph neural network transforms features in each vertex's neighborhood into a vector representation of the vertex. Afterward, each vertex's representation is used independently for predicting its label. This standard pipeline implicitly…

Machine Learning · Computer Science 2020-06-18 Junteng Jia , Austin R. Benson