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This paper introduces and demonstrates a computational pipeline for the statistical analysis of shape graph datasets, namely geometric networks embedded in 2D or 3D spaces. Unlike traditional abstract graphs, our purpose is not only to…

Machine Learning · Computer Science 2026-02-19 Murad Hossen , Demetrio Labate , Nicolas Charon

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

All techniques for denoising involve a notion of a true (noise-free) image, and a hypothesis space. The hypothesis space may reconstruct the image directly as a grayscale valued function, or indirectly by its Fourier or wavelet spectrum.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Sajal Chakroborty , Suddhasattwa Das

The ever-increasing parameter counts of deep learning models necessitate effective compression techniques for deployment on resource-constrained devices. This paper explores the application of information geometry, the study of…

Machine Learning · Computer Science 2025-07-15 Zakhar Shumaylov , Vasileios Tsiaras , Yannis Stylianou

We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

Image and Video Processing · Electrical Eng. & Systems 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

Morphological and diagnostic evaluation of pediatric musculoskeletal system is crucial in clinical practice. However, most segmentation models do not perform well on scarce pediatric imaging data. We propose a new pre-trained regularized…

Image and Video Processing · Electrical Eng. & Systems 2022-07-21 Arnaud Boutillon , Bhushan Borotikar , Valérie Burdin , Pierre-Henri Conze

Image segmentation is often performed on medical images for identifying diseases in clinical evaluation. Hence it has become one of the major research areas. Conventional image segmentation techniques are unable to provide satisfactory…

Computer Vision and Pattern Recognition · Computer Science 2017-02-13 Pratik Kalshetti , Manas Bundele , Parag Rahangdale , Dinesh Jangra , Chiranjoy Chattopadhyay , Gaurav Harit , Abhay Elhence

We propose an efficient linear-time graph-based divisive cluster analysis approach called Reductive Clustering. The approach tries to reveal the hierarchical structural information through reducing the graph into a more concise one…

Artificial Intelligence · Computer Science 2020-09-28 Ching Tarn , Yinan Zhang , Ye Feng

This review presents various image segmentation methods using complex networks. Image segmentation is one of the important steps in image analysis as it helps analyze and understand complex images. At first, it has been tried to classify…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Amin Rezaei , Fatemeh Asadi

Graph signal processing (GSP) provides a powerful framework for analyzing signals arising in a variety of domains. In many applications of GSP, multiple network structures are available, each of which captures different aspects of the same…

Machine Learning · Statistics 2021-11-03 Michael Weylandt , George Michailidis , T. Mitchell Roddenberry

Non-linear kernel methods can be approximated by fast linear ones using suitable explicit feature maps allowing their application to large scale problems. We investigate how convolution kernels for structured data are composed from base…

Machine Learning · Computer Science 2019-11-26 Nils M. Kriege , Marion Neumann , Christopher Morris , Kristian Kersting , Petra Mutzel

Kernel methods are considered an effective technique for on-line learning. Many approaches have been developed for compactly representing the dual solution of a kernel method when the problem imposes memory constraints. However, in…

Machine Learning · Computer Science 2016-07-21 Giovanni Da San Martino , Nicolò Navarin , Alessandro Sperduti

The inverse conductivity problem aims at determining the unknown conductivity inside a bounded domain from boundary measurements. In practical applications, algorithms based on minimizing a regularized residual functional subject to PDE…

Numerical Analysis · Mathematics 2025-10-02 Lefu Cai , Zhixin Liu , Minghui Song , Xianchao Wang

Lightweight model design has become an important direction in the application of deep learning technology, pruning is an effective mean to achieve a large reduction in model parameters and FLOPs. The existing neural network pruning methods…

Machine Learning · Computer Science 2021-11-19 Zhuangzhi Chen , Jingyang Xiang , Yao Lu , Qi Xuan , Xiaoniu Yang

3D shape editing is widely used in a range of applications such as movie production, computer games and computer aided design. It is also a popular research topic in computer graphics and computer vision. In past decades, researchers have…

Graphics · Computer Science 2021-03-03 Yu-Jie Yuan , Yu-Kun Lai , Tong Wu , Lin Gao , Ligang Liu

We consider the problem of classifying graphs using graph kernels. We define a new graph kernel, called the generalized shortest path kernel, based on the number and length of shortest paths between nodes. For our example classification…

Data Structures and Algorithms · Computer Science 2015-11-20 Linus Hermansson , Fredrik D. Johansson , Osamu Watanabe

Recovering an image from a noisy observation is a key problem in signal processing. Recently, it has been shown that data-driven approaches employing convolutional neural networks can outperform classical model-based techniques, because…

Image and Video Processing · Electrical Eng. & Systems 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

We introduce a new spectral method for image segmentation that incorporates long range relationships for global appearance modeling. The approach combines two different graphs, one is a sparse graph that captures spatial relationships…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Jeova F. S. Rocha Neto , Pedro F. Felzenszwalb

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity. Popular applications are image denoising, sparse regression…

Optimization and Control · Mathematics 2021-11-15 Bennet Gebken , Katharina Bieker , Sebastian Peitz
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