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In this paper, we propose a unified framework for sampling, clustering and embedding data points in semi-metric spaces. For a set of data points $\Omega=\{x_1, x_2, \ldots, x_n\}$ in a semi-metric space, we consider a complete graph with…

Social and Information Networks · Computer Science 2017-08-02 Chia-Tai Chang , Cheng-Shang Chang

Autoencoding is a popular method in representation learning. Conventional autoencoders employ symmetric encoding-decoding procedures and a simple Euclidean latent space to detect hidden low-dimensional structures in an unsupervised way.…

Machine Learning · Computer Science 2024-10-07 Stefan C. Schonsheck , Scott Mahan , Timo Klock , Alexander Cloninger , Rongjie Lai

We propose a novel method of introducing structure into existing machine learning techniques by developing structure-based similarity and distance measures. To learn structural information, low-dimensional structure of the data is captured…

Machine Learning · Statistics 2011-10-27 Joseph Wang , Venkatesh Saligrama , David A. Castañón

Subspace clustering algorithms are notorious for their scalability issues because building and processing large affinity matrices are demanding. In this paper, we introduce a method that simultaneously learns an embedding space along…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Tong Zhang , Pan Ji , Mehrtash Harandi , Richard Hartley , Ian Reid

$t$-SNE is an embedding method that the data science community has widely Two interesting characteristics of t-SNE are the structure preservation property and the answer to the crowding problem, where all neighbors in high dimensional space…

Machine Learning · Computer Science 2021-09-23 Gaëlle Candel , David Naccache

AI-enabled precision medicine promises a transformational improvement in healthcare outcomes by enabling data-driven personalized diagnosis, prognosis, and treatment. However, the well-known "curse of dimensionality" and the clustered…

Machine Learning · Computer Science 2023-05-19 Amanda M. Buch , Conor Liston , Logan Grosenick

Unsupervised clustering is one of the most fundamental challenges in machine learning. A popular hypothesis is that data are generated from a union of low-dimensional nonlinear manifolds; thus an approach to clustering is identifying and…

Machine Learning · Computer Science 2017-12-27 Dejiao Zhang , Yifan Sun , Brian Eriksson , Laura Balzano

Learning representations of well-trained neural network models holds the promise to provide an understanding of the inner workings of those models. However, previous work has either faced limitations when processing larger networks or was…

Machine Learning · Computer Science 2024-06-17 Konstantin Schürholt , Michael W. Mahoney , Damian Borth

Manifold learning techniques, such as Locally linear embedding (LLE), are designed to preserve the local neighborhood structures of high-dimensional data during dimensionality reduction. Traditional LLE employs Euclidean distance to define…

Machine Learning · Computer Science 2025-04-10 Ali Goli , Mahdieh Alizadeh , Hadi Sadoghi Yazdi

Adding attributes for nodes to network embedding helps to improve the ability of the learned joint representation to depict features from topology and attributes simultaneously. Recent research on the joint embedding has exhibited a…

Machine Learning · Computer Science 2018-05-01 Weiyi Liu , Zhining Liu , Toyotaro Suzumura , Guangmin Hu

Most existing distance metric learning approaches use fully labeled data to learn the sample similarities in an embedding space. We present a self-training framework, SLADE, to improve retrieval performance by leveraging additional…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jiali Duan , Yen-Liang Lin , Son Tran , Larry S. Davis , C. -C. Jay Kuo

Local discriminative representation is needed in many medical image analysis tasks such as identifying sub-types of lesion or segmenting detailed components of anatomical structures. However, the commonly applied supervised representation…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Huai Chen , Jieyu Li , Renzhen Wang , Yijie Huang , Fanrui Meng , Deyu Meng , Qing Peng , Lisheng Wang

High fidelity representation of shapes with arbitrary topology is an important problem for a variety of vision and graphics applications. Owing to their limited resolution, classical discrete shape representations using point clouds, voxels…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Rahul Venkatesh , Sarthak Sharma , Aurobrata Ghosh , Laszlo Jeni , Maneesh Singh

High-dimensional time series are common in many domains. Since human cognition is not optimized to work well in high-dimensional spaces, these areas could benefit from interpretable low-dimensional representations. However, most…

Machine Learning · Computer Science 2019-01-07 Vincent Fortuin , Matthias Hüser , Francesco Locatello , Heiko Strathmann , Gunnar Rätsch

Low-dimensional embeddings are widely used as visual summaries of high-dimensional data and to enable downstream scientific discoveries. Yet, popular nonlinear dimension reduction methods, such as t-SNE and UMAP, are often selected based on…

Machine Learning · Statistics 2026-05-29 Irene Chang , Tarek M. Zikry , Genevera I. Allen

Supervised deep learning techniques show promise in medical image analysis. However, they require comprehensive annotated data sets, which poses challenges, particularly for rare diseases. Consequently, unsupervised anomaly detection (UAD)…

Image and Video Processing · Electrical Eng. & Systems 2024-03-22 Finn Behrendt , Debayan Bhattacharya , Lennart Maack , Julia Krüger , Roland Opfer , Robin Mieling , Alexander Schlaefer

Unsupervised disentangled representation learning is a long-standing problem in computer vision. This work proposes a novel framework for performing image clustering from deep embeddings by combining instance-level contrastive learning with…

Machine Learning · Computer Science 2021-10-05 Ramakrishnan Sundareswaran , Jansel Herrera-Gerena , John Just , Ali Jannesari

Contrastive learning, which aims to capture general representation from unlabeled images to initialize the medical analysis models, has been proven effective in alleviating the high demand for expensive annotations. Current methods mainly…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Huai Chen , Renzhen Wang , Xiuying Wang , Jieyu Li , Qu Fang , Hui Li , Jianhao Bai , Qing Peng , Deyu Meng , Lisheng Wang

Subspace clustering aims to group data points that lie in a union of low-dimensional subspaces and finds wide application in computer vision, hyperspectral imaging, and recommendation systems. However, most existing methods assume fully…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Huanran Li , Daniel Pimentel-Alarcón

Semi-Supervised Learning (SSL) and Unsupervised Domain Adaptation (UDA) enhance the model performance by exploiting information from labeled and unlabeled data. The clustering assumption has proven advantageous for learning with limited…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Durgesh Singh , Ahcène Boubekki , Robert Jenssen , Michael Kampffmeyer