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High dimensional data analysis for exploration and discovery includes three fundamental tasks: dimensionality reduction, clustering, and visualization. When the three associated tasks are done separately, as is often the case thus far,…

Machine Learning · Computer Science 2020-12-02 Stan Z. Li , Lirong Wu , Zelin Zang

Anomalies are samples that significantly deviate from the rest of the data and their detection plays a major role in building machine learning models that can be reliably used in applications such as data-driven design and novelty…

Machine Learning · Statistics 2023-06-19 Amin Yousefpour , Mehdi Shishehbor , Zahra Zanjani Foumani , Ramin Bostanabad

Dimension reduction (DR) algorithms have proven to be extremely useful for gaining insight into large-scale high-dimensional datasets, particularly finding clusters in transcriptomic data. The initial phase of these DR methods often…

Machine Learning · Computer Science 2025-10-15 Yingfan Wang , Yiyang Sun , Haiyang Huang , Cynthia Rudin

Unsupervised feature learning for point clouds has been vital for large-scale point cloud understanding. Recent deep learning based methods depend on learning global geometry from self-reconstruction. However, these methods are still…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Zhizhong Han , Xiyang Wang , Yu-Shen Liu , Matthias Zwicker

This paper explores a fully unsupervised deep learning approach for computing distance-preserving maps that generate low-dimensional embeddings for a certain class of manifolds. We use the Siamese configuration to train a neural network to…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Gautam Pai , Ronen Talmon , Alex Bronstein , Ron Kimmel

This paper presents a novel unsupervised segmentation method for 3D medical images. Convolutional neural networks (CNNs) have brought significant advances in image segmentation. However, most of the recent methods rely on supervised…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Takayasu Moriya , Holger R. Roth , Shota Nakamura , Hirohisa Oda , Kai Nagara , Masahiro Oda , Kensaku Mori

Classical unsupervised learning methods like clustering and linear dimensionality reduction parametrize large-scale geometry when it is discrete or linear, while more modern methods from manifold learning find low dimensional representation…

Machine Learning · Computer Science 2025-09-23 Luis Scoccola , Uzu Lim , Heather A. Harrington

Deep neural networks have gained tremendous success in a broad range of machine learning tasks due to its remarkable capability to learn semantic-rich features from high-dimensional data. However, they often require large-scale labelled…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Hu Wang , Guansong Pang , Chunhua Shen , Congbo Ma

Contrastive self-supervised learning based on point-wise comparisons has been widely studied for vision tasks. In the visual cortex of the brain, neuronal responses to distinct stimulus classes are organized into geometric structures known…

Machine Learning · Computer Science 2026-01-06 Guanming Zhang , David J. Heeger , Stefano Martiniani

We propose a novel approach to unsupervised learning by constructing a non-linear embedding of the data into a low-dimensional space followed by any conventional clustering algorithm. The embedding promotes clusterability of the data and is…

Machine Learning · Computer Science 2025-03-24 Malihehsadat Chavooshi , Alexander V. Mamonov

Clustering on the data with multiple aspects, such as multi-view or multi-type relational data, has become popular in recent years due to their wide applicability. The approach using manifold learning with the Non-negative Matrix…

Machine Learning · Computer Science 2020-09-08 Khanh Luong , Richi Nayak

We present Low Distortion Local Eigenmaps (LDLE), a manifold learning technique which constructs a set of low distortion local views of a dataset in lower dimension and registers them to obtain a global embedding. The local views are…

Spectral Theory · Mathematics 2021-12-21 Dhruv Kohli , Alexander Cloninger , Gal Mishne

Nonlinear dimension reduction (NLDR) techniques such as tSNE, and UMAP provide a low-dimensional representation of high-dimensional data ($p\text{-}D$) by applying a nonlinear transformation. NLDR often exaggerates random patterns. But NLDR…

For manifold learning, it is assumed that high-dimensional sample/data points are embedded on a low-dimensional manifold. Usually, distances among samples are computed to capture an underlying data structure. Here we propose a metric…

Machine Learning · Computer Science 2019-09-20 Fenglei Fan , Ziyu Su , Yueyang Teng , Ge Wang

Recent advancements in multimodal pre-training models have significantly advanced computational pathology. However, current approaches predominantly rely on visual-language models, which may impose limitations from a molecular perspective…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Minghao Han , Dingkang Yang , Jiabei Cheng , Xukun Zhang , Linhao Qu , Zizhi Chen , Lihua Zhang

Manifold learning techniques for nonlinear dimension reduction assume that high-dimensional feature vectors lie on a low-dimensional manifold, then attempt to exploit manifold structure to obtain useful low-dimensional Euclidean…

Machine Learning · Statistics 2021-10-25 Michael W. Trosset , Gokcen Buyukbas

Collecting large annotated datasets in Remote Sensing is often expensive and thus can become a major obstacle for training advanced machine learning models. Common techniques of addressing this issue, based on the underlying idea of…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Rahul Ghosh , Xiaowei Jia , Chenxi Lin , Zhenong Jin , Vipin Kumar

The graph embedding (GE) methods have been widely applied for dimensionality reduction of hyperspectral imagery (HSI). However, a major challenge of GE is how to choose proper neighbors for graph construction and explore the spatial…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Hong Huang , Guangyao Shi , Haibo He , Yule Duan , Fulin Luo

Magnetic Resonance (MR) images suffer from various types of artifacts due to motion, spatial resolution, and under-sampling. Conventional deep learning methods deal with removing a specific type of artifact, leading to separately trained…

Image and Video Processing · Electrical Eng. & Systems 2023-04-14 Arun Palla , Sriprabha Ramanarayanan , Keerthi Ram , Mohanasankar Sivaprakasam

Deep learning methods have played a more and more important role in hyperspectral image classification. However, the general deep learning methods mainly take advantage of the information of sample itself or the pairwise information between…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Zhiqiang Gong , Weidong Hu , Xiaoyong Du , Ping Zhong , Panhe Hu