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In this study, we develop a method for multi-task manifold learning. The method aims to improve the performance of manifold learning for multiple tasks, particularly when each task has a small number of samples. Furthermore, the method also…

Machine Learning · Computer Science 2021-11-25 Hideaki Ishibashi , Kazushi Higa , Tetsuo Furukawa

Unsupervised domain adaptation leverages rich information from a labeled source domain to model an unlabeled target domain. Existing methods attempt to align the cross-domain distributions. However, the statistical representations of the…

Machine Learning · Computer Science 2021-11-04 Youshan Zhang , Brian D. Davison

We introduce Mediffusion -- a new method for semi-supervised learning with explainable classification based on a joint diffusion model. The medical imaging domain faces unique challenges due to scarce data labelling -- insufficient for…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Joanna Kaleta , Paweł Skierś , Jan Dubiński , Przemysław Korzeniowski , Kamil Deja

Unsupervised Domain Adaptation (UDA) is quite challenging due to the large distribution discrepancy between the source domain and the target domain. Inspired by diffusion models which have strong capability to gradually convert data…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Duo Peng , Qiuhong Ke , Yinjie Lei , Jun Liu

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

This article presents a novel method to sampling on manifolds based on the Dirichlet distribution. The proposed strategy allows to completely respect the underlying manifold around which data is observed, and to do massive samplings with…

Machine Learning · Statistics 2021-08-13 Luan S Prado , Thiago G Ritto

Unsupervised domain adaptation (UDA) aims to learn transferable knowledge from a labeled source domain and adapts a trained model to an unlabeled target domain. To bridge the gap between source and target domains, one prevailing strategy is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Xu Ma , Junkun Yuan , Yen-wei Chen , Ruofeng Tong , Lanfen Lin

A panoply of multi-view clustering algorithms has been developed to deal with prevalent multi-view data. Among them, spectral clustering-based methods have drawn much attention and demonstrated promising results recently. Despite progress,…

Machine Learning · Computer Science 2019-09-17 Zhao Kang , Guoxin Shi , Shudong Huang , Wenyu Chen , Xiaorong Pu , Joey Tianyi Zhou , Zenglin Xu

Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin

Compared to unsupervised domain adaptation, semi-supervised domain adaptation (SSDA) aims to significantly improve the classification performance and generalization capability of the model by leveraging the presence of a small amount of…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Jichang Li , Guanbin Li , Yizhou Yu

Multimodal learning leverages complementary information derived from different modalities, thereby enhancing performance in medical image segmentation. However, prevailing multimodal learning methods heavily rely on extensive well-annotated…

Computer Vision and Pattern Recognition · Computer Science 2024-09-05 Xiaogen Zhou , Yiyou Sun , Min Deng , Winnie Chiu Wing Chu , Qi Dou

Due to the over-smoothing issue, most existing graph neural networks can only capture limited dependencies with their inherently finite aggregation layers. To overcome this limitation, we propose a new kind of graph convolution, called…

Machine Learning · Computer Science 2022-06-30 Qi Chen , Yifei Wang , Yisen Wang , Jiansheng Yang , Zhouchen Lin

The rapid growth of high-dimensional datasets across various scientific domains has created a pressing need for new statistical methods to compare distributions supported on their underlying structures. Assessing similarity between datasets…

Statistics Theory · Mathematics 2025-11-27 Hongrui Chen , Rong Ma

The scarcity of labeled data often impedes the application of deep learning to the segmentation of medical images. Semi-supervised learning seeks to overcome this limitation by exploiting unlabeled examples in the learning process. In this…

Computer Vision and Pattern Recognition · Computer Science 2021-06-25 Jizong Peng , Marco Pedersoli , Christian Desrosiers

Refining raw disparity maps from different algorithms to exploit their complementary advantages is still challenging. Uncertainty estimation and complex disparity relationships among pixels limit the accuracy and robustness of existing…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Can Pu , Runzi Song , Radim Tylecek , Nanbo Li , Robert B Fisher

We introduce a data-driven approach to building reduced dynamical models through manifold learning; the reduced latent space is discovered using Diffusion Maps (a manifold learning technique) on time series data. A second round of Diffusion…

Graph neural networks (GNNs) have been widely investigated in the field of semi-supervised graph machine learning. Most methods fail to exploit adequate graph information when labeled data is limited, leading to the problem of…

Machine Learning · Computer Science 2023-03-15 Linxuan Song , Wenxuan Tu , Sihang Zhou , Xinwang Liu , En Zhu

We propose a novel framework for combining datasets via alignment of their intrinsic geometry. This alignment can be used to fuse data originating from disparate modalities, or to correct batch effects while preserving intrinsic data…

Machine Learning · Computer Science 2020-01-31 Jay S. Stanley , Scott Gigante , Guy Wolf , Smita Krishnaswamy

We develop a framework for comparing data manifolds, aimed, in particular, towards the evaluation of deep generative models. We describe a novel tool, Cross-Barcode(P,Q), that, given a pair of distributions in a high-dimensional space,…

Unsupervised domain mapping has attracted substantial attention in recent years due to the success of models based on the cycle-consistency assumption. These models map between two domains by fooling a probabilistic discriminator, thereby…

Machine Learning · Computer Science 2019-01-25 Matthew Amodio , Smita Krishnaswamy
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