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Recent advances in quantum technology have led to the development and the manufacturing of programmable quantum annealers that promise to solve certain combinatorial optimization problems faster than their classical counterparts.…

Quantum Physics · Physics 2021-05-26 Yu-Lin Zheng , Wen Zhang , Cheng Zhou , Wei Geng

Eigenvector localization refers to the situation when most of the components of an eigenvector are zero or near-zero. This phenomenon has been observed on eigenvectors associated with extremal eigenvalues, and in many of those cases it can…

Discrete Mathematics · Computer Science 2011-09-08 Mihai Cucuringu , Michael W. Mahoney

Hyperspectral image (HSI) classification is gaining a lot of momentum in present time because of high inherent spectral information within the images. However, these images suffer from the problem of curse of dimensionality and usually…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Shivam Pande , Nassim Ait Ali Braham , Yi Wang , Conrad M Albrecht , Biplab Banerjee , Xiao Xiang Zhu

With the development of quantum algorithms, high-cost computations are being scrutinized in the hope of a quantum advantage. While graphs offer a convenient framework for multiple real-world problems, their analytics still comes with high…

Quantum Physics · Physics 2020-11-11 Slimane Thabet , Jean-Francois Hullo

We propose a new approach, multi-view Laplacian support vector machines (SVMs), for semi-supervised learning under the multi-view scenario. It integrates manifold regularization and multi-view regularization into the usual formulation of…

Machine Learning · Computer Science 2013-07-29 Shiliang Sun

We focus on developing a novel scalable graph-based semi-supervised learning (SSL) method for a small number of labeled data and a large amount of unlabeled data. Due to the lack of labeled data and the availability of large-scale unlabeled…

Machine Learning · Computer Science 2019-12-06 Zitong Wang , Li Wang , Raymond Chan , Tieyong Zeng

Deep networks are successfully used as classification models yielding state-of-the-art results when trained on a large number of labeled samples. These models, however, are usually much less suited for semi-supervised problems because of…

Machine Learning · Computer Science 2018-12-05 Elad Hoffer , Nir Ailon

The graph Laplacian plays key roles in information processing of relational data, and has analogies with the Laplacian in differential geometry. In this paper, we generalize the analogy between graph Laplacian and differential geometry to…

Machine Learning · Statistics 2022-08-17 Shota Saito , Danilo P Mandic , Hideyuki Suzuki

We propose a graph semi-supervised learning framework for classification tasks on data manifolds. Motivated by the manifold hypothesis, we model data as points sampled from a low-dimensional manifold $\mathcal{M} \subset \mathbb{R}^F$. The…

Machine Learning · Computer Science 2025-11-03 Caio F. Deberaldini Netto , Zhiyang Wang , Luana Ruiz

Deep learning demands a huge amount of well-labeled data to train the network parameters. How to use the least amount of labeled data to obtain the desired classification accuracy is of great practical significance, because for many…

Machine Learning · Computer Science 2019-12-20 Xiao Han , Zihao Wang , Enmei Tu , Gunnam Suryanarayana , Jie Yang

Graph Convolutional Networks (GCNs) have proven to be successful tools for semi-supervised classification on graph-based datasets. We propose a new GCN variant whose three-part filter space is targeted at dense graphs. Examples include…

Machine Learning · Computer Science 2021-01-29 Dominik Alfke , Martin Stoll

In this work, we propose a simple yet effective meta-learning algorithm in semi-supervised learning. We notice that most existing consistency-based approaches suffer from overfitting and limited model generalization ability, especially when…

Machine Learning · Computer Science 2021-03-18 Xin-Yu Zhang , Taihong Xiao , Haolin Jia , Ming-Ming Cheng , Ming-Hsuan Yang

The ability to learn good representations of states is essential for solving large reinforcement learning problems, where exploration, generalization, and transfer are particularly challenging. The Laplacian representation is a promising…

Machine Learning · Computer Science 2024-04-04 Diego Gomez , Michael Bowling , Marlos C. Machado

The efficiency of graph-based semi-supervised algorithms depends on the graph of instances on which they are applied. The instances are often in a vectorial form before a graph linking them is built. The construction of the graph relies on…

Machine Learning · Computer Science 2016-02-19 Pauline Wauquier , Mikaela Keller

Partitioning a graph into three pieces, with two of them large and connected, and the third a small ``separator'' set, is useful for improving the performance of a number of combinatorial algorithms. This is done using the second…

Numerical Analysis · Mathematics 2025-10-20 David De Wit

In practical domains, high-dimensional data are usually associated with diverse semantic labels, whereas traditional feature selection methods are designed for single-label data. Moreover, existing multi-label methods encounter two main…

Machine Learning · Computer Science 2025-05-26 Yan Zhong , Xingyu Wu , Xinping Zhao , Li Zhang , Xinyuan Song , Lei Shi , Bingbing Jiang

Semi-supervised learning for medical image segmentation is an important area of research for alleviating the huge cost associated with the construction of reliable large-scale annotations in the medical domain. Recent semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Chae Eun Lee , Hyelim Park , Yeong-Gil Shin , Minyoung Chung

In the literature, most existing graph-based semi-supervised learning (SSL) methods only use the label information of observed samples in the label propagation stage, while ignoring such valuable information when learning the graph. In this…

Computer Vision and Pattern Recognition · Computer Science 2017-02-14 Liansheng Zhuang , Zihan Zhou , Jingwen Yin , Shenghua Gao , Zhouchen Lin , Yi Ma , Nenghai Yu

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

Semi-supervised learning techniques are gaining popularity due to their capability of building models that are effective, even when scarce amounts of labeled data are available. In this paper, we present a framework and specific tasks for…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Antonio Montanaro , Diego Valsesia , Giulia Fracastoro , Enrico Magli