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Existing approaches for diffusion on graphs, e.g., for label propagation, are mainly focused on isotropic diffusion, which is induced by the commonly-used graph Laplacian regularizer. Inspired by the success of diffusivity tensors for…

Computer Vision and Pattern Recognition · Computer Science 2016-02-23 Kwang In Kim , James Tompkin , Hanspeter Pfister , Christian Theobalt

Semi-supervised learning on graphs is an important problem in the machine learning area. In recent years, state-of-the-art classification methods based on graph neural networks (GNNs) have shown their superiority over traditional ones such…

Machine Learning · Computer Science 2021-03-05 Cheng Yang , Jiawei Liu , Chuan Shi

In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connected graphs by using direct analogue of the corresponding…

Numerical Analysis · Mathematics 2022-11-30 Farid Bozorgnia , Morteza Fotouhi , Avetik Arakelyan , Abderrahim Elmoataz

We propose and analyze a method for semi-supervised learning from partially-labeled network-structured data. Our approach is based on a graph signal recovery interpretation under a clustering hypothesis that labels of data points belonging…

Machine Learning · Computer Science 2020-01-08 Alexander Jung , Alfred O. Hero , Alexandru Mara , Saeed Jahromi , Ayelet Heimowitz , Yonina C. Eldar

Distribution regression refers to the supervised learning problem where labels are only available for groups of inputs instead of individual inputs. In this paper, we develop a rigorous mathematical framework for distribution regression…

Machine Learning · Computer Science 2021-09-30 Maud Lemercier , Cristopher Salvi , Theodoros Damoulas , Edwin V. Bonilla , Terry Lyons

Hypergraphs are a common model for multiway relationships in data, and hypergraph semi-supervised learning is the problem of assigning labels to all nodes in a hypergraph, given labels on just a few nodes. Diffusions and label spreading are…

Machine Learning · Computer Science 2022-02-14 Francesco Tudisco , Konstantin Prokopchik , Austin R. Benson

The goal in semi-supervised learning is to effectively combine labeled and unlabeled data. One way to do this is by encouraging smoothness across edges in a graph whose nodes correspond to input examples. In many graph-based methods, labels…

Machine Learning · Computer Science 2018-02-28 Nir Rosenfeld , Amir Globerson

The remarkable performance of deep neural networks depends on the availability of massive labeled data. To alleviate the load of data annotation, active deep learning aims to select a minimal set of training points to be labelled which…

Machine Learning · Computer Science 2020-03-24 Dan Kushnir , Luca Venturi

This paper presents an approach to semi-supervised learning for the classification of data using the Lipschitz Learning on graphs. We develop a graph-based semi-supervised learning framework that leverages the properties of the infinity…

Machine Learning · Computer Science 2024-11-06 Farid Bozorgnia , Yassine Belkheiri , Abderrahim Elmoataz

With the wide-spread availability of complex relational data, semi-supervised node classification in graphs has become a central machine learning problem. Graph neural networks are a recent class of easy-to-train and accurate methods for…

Machine Learning · Computer Science 2021-06-08 Junteng Jia , Cenk Baykal , Vamsi K. Potluru , Austin R. Benson

Graph convolutional networks have made great progress in graph-based semi-supervised learning. Existing methods mainly assume that nodes connected by graph edges are prone to have similar attributes and labels, so that the features smoothed…

Machine Learning · Computer Science 2022-06-13 Yating Ren , Junzhong Ji , Lingfeng Niu , Minglong Lei

We present a scalable approach for semi-supervised learning on graph-structured data that is based on an efficient variant of convolutional neural networks which operate directly on graphs. We motivate the choice of our convolutional…

Machine Learning · Computer Science 2017-02-23 Thomas N. Kipf , Max Welling

This paper considers the problem of inferring image labels from images when only a few annotated examples are available at training time. This setup is often referred to as low-shot learning, where a standard approach is to re-train the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-18 Matthijs Douze , Arthur Szlam , Bharath Hariharan , Hervé Jégou

Preparing training data for deep vision models is a labor-intensive task. To address this, generative models have emerged as an effective solution for generating synthetic data. While current generative models produce image-level category…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Quang Nguyen , Truong Vu , Anh Tran , Khoi Nguyen

Node classification is an important problem in graph data management. It is commonly solved by various label propagation methods that work iteratively starting from a few labeled seed nodes. For graphs with arbitrary compatibilities between…

Machine Learning · Computer Science 2020-03-06 Krishna Kumar P. , Paul Langton , Wolfgang Gatterbauer

This paper studies structured node classification on graphs, where the predictions should consider dependencies between the node labels. In particular, we focus on solving the problem for partially labeled graphs where it is essential to…

Machine Learning · Computer Science 2023-06-21 Hyosoon Jang , Seonghyun Park , Sangwoo Mo , Sungsoo Ahn

In this manuscript we proposed a new fractional derivative with non-local and no-singular kernel. We presented some useful properties of the new derivative and applied it to solve the fractional heat transfer model.

General Mathematics · Mathematics 2016-02-11 Abdon Atangana , Dumitru Baleanu

Graph generative models have been extensively studied in the data mining literature. While traditional techniques are based on generating structures that adhere to a pre-decided distribution, recent techniques have shifted towards learning…

Machine Learning · Computer Science 2020-04-09 Nikhil Goyal , Harsh Vardhan Jain , Sayan Ranu

We consider graph diffusion processes constructed from finite i.i.d. samples drawn from an unknown manifold embedded in ambient Euclidean space, where the graph affinity is defined by an ambient Gaussian kernel matrix. We show that the…

Machine Learning · Statistics 2026-05-26 Xiuyuan Cheng , Nan Wu

Graphs naturally lend themselves to model the complexities of Hyperspectral Image (HSI) data as well as to serve as semi-supervised classifiers by propagating given labels among nearest neighbours. In this work, we present a novel framework…

Computer Vision and Pattern Recognition · Computer Science 2021-11-01 Madeleine Kotzagiannidis , Carola-Bibiane Schönlieb