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We consider the problem of propagating the uncertainty from a possibly large number of random inputs through a computationally expensive model. Stratified sampling is a well-known variance reduction strategy, but its application, thus far,…

Numerical Analysis · Mathematics 2026-03-06 Gianluca Geraci , Daniele E. Schiavazzi , Andrea Zanoni

In this paper we propose Structuring AutoEncoders (SAE). SAEs are neural networks which learn a low dimensional representation of data which are additionally enriched with a desired structure in this low dimensional space. While traditional…

Machine Learning · Computer Science 2019-08-20 Marco Rudolph , Bastian Wandt , Bodo Rosenhahn

We propose a novel algorithm for supervised dimensionality reduction named Manifold Partition Discriminant Analysis (MPDA). It aims to find a linear embedding space where the within-class similarity is achieved along the direction that is…

Machine Learning · Computer Science 2020-11-24 Yang Zhou , Shiliang Sun

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

Clustering in high dimension spaces is a difficult task; the usual distance metrics may no longer be appropriate under the curse of dimensionality. Indeed, the choice of the metric is crucial, and it is highly dependent on the dataset…

Machine Learning · Computer Science 2023-02-14 Simo Alami. C , Rim Kaddah , Jesse Read

Manifold learning methods are an invaluable tool in today's world of increasingly huge datasets. Manifold learning algorithms can discover a much lower-dimensional representation (embedding) of a high-dimensional dataset through non-linear…

Machine Learning · Computer Science 2021-08-24 Andrew Lensen , Bing Xue , Mengjie Zhang

Semantic medical image segmentation using deep learning has recently achieved high accuracy, making it appealing to clinical problems such as radiation therapy. However, the lack of high-quality semantically labelled data remains a…

Image and Video Processing · Electrical Eng. & Systems 2023-03-13 Wei Dai , Siyu Liu , Craig B. Engstrom , Shekhar S. Chandra

Deep metric learning (DML) is a cornerstone of many computer vision applications. It aims at learning a mapping from the input domain to an embedding space, where semantically similar objects are located nearby and dissimilar objects far…

Computer Vision and Pattern Recognition · Computer Science 2021-09-10 Artsiom Sanakoyeu , Pingchuan Ma , Vadim Tschernezki , Björn Ommer

The growing volume of data produced by large astronomical surveys necessitates the development of efficient analysis techniques capable of effectively managing high-dimensional datasets. This study addresses this need by demonstrating some…

This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data. By examining the topology of small regions around each point, one can…

Algebraic Topology · Mathematics 2022-05-25 Bernadette J Stolz , Jared Tanner , Heather A Harrington , Vidit Nanda

This paper demonstrates that spatial information can be used to learn interpretable representations in medical images using Self-Supervised Learning (SSL). Our proposed method, ISImed, is based on the observation that medical images exhibit…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Nabil Jabareen , Dongsheng Yuan , Sören Lukassen

Unsupervised landmarks discovery (ULD) for an object category is a challenging computer vision problem. In pursuit of developing a robust ULD framework, we explore the potential of a recent paradigm of self-supervised learning algorithms,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Siddharth Tourani , Ahmed Alwheibi , Arif Mahmood , Muhammad Haris Khan

Many successful methods have been proposed for learning low dimensional representations on large-scale networks, while almost all existing methods are designed in inseparable processes, learning embeddings for entire networks even when only…

Machine Learning · Computer Science 2019-02-27 Ziyao Li , Liang Zhang , Guojie Song

Signed network embedding is an approach to learn low-dimensional representations of nodes in signed networks with both positive and negative links, which facilitates downstream tasks such as link prediction with general data mining…

Social and Information Networks · Computer Science 2021-04-30 Dengcheng Yan , Youwen Zhang , Wei Li , Yiwen Zhang

Unsupervised attributed graph representation learning is challenging since both structural and feature information are required to be represented in the latent space. Existing methods concentrate on learning latent representation via…

Machine Learning · Computer Science 2021-04-28 Zelin Zang , Siyuan Li , Di Wu , Jianzhu Guo , Yongjie Xu , Stan Z. Li

Determining phenotypes of diseases can have considerable benefits for in-hospital patient care and to drug development. The structure of high dimensional data sets such as electronic health records are often represented through an embedding…

Self-Supervised Learning (SSL) presents an exciting opportunity to unlock the potential of vast, untapped clinical datasets, for various downstream applications that suffer from the scarcity of labeled data. While SSL has revolutionized…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Tassilo Wald , Constantin Ulrich , Stanislav Lukyanenko , Andrei Goncharov , Alberto Paderno , Maximilian Miller , Leander Maerkisch , Paul F. Jäger , Klaus Maier-Hein

Stochastic Neighbor Embedding (SNE) algorithms like UMAP and tSNE often produce visualizations that do not preserve the geometry of noisy and high dimensional data. In particular, they can spuriously separate connected components of the…

Machine Learning · Computer Science 2025-09-05 Tristan Luca Saidi , Abigail Hickok , Bastian Rieck , Andrew J. Blumberg

Auto-Encoder (AE)-based deep subspace clustering (DSC) methods have achieved impressive performance due to the powerful representation extracted using deep neural networks while prioritizing categorical separability. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Juncheng Lv , Zhao Kang , Xiao Lu , Zenglin Xu

Training a diverse ensemble of models has several practical applications such as providing candidates for model selection with better out-of-distribution (OOD) generalization, and enabling the detection of OOD samples via Bayesian…

Machine Learning · Computer Science 2024-09-26 Alexander Rubinstein , Luca Scimeca , Damien Teney , Seong Joon Oh
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