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Nonlinear dimensionality reduction (NLDR) algorithms such as Isomap, LLE and Laplacian Eigenmaps address the problem of representing high-dimensional nonlinear data in terms of low-dimensional coordinates which represent the intrinsic…

Algebraic Topology · Mathematics 2009-06-12 Vin de Silva , Mikael Vejdemo-Johansson

Deep neural network based methods have achieved promising results for CT metal artifact reduction (MAR), most of which use many synthesized paired images for training. As synthesized metal artifacts in CT images may not accurately reflect…

Image and Video Processing · Electrical Eng. & Systems 2020-07-09 Chuang Niu , Wenxiang Cong , Fenglei Fan , Hongming Shan , Mengzhou Li , Jimin Liang , Ge Wang

Dimensionality reduction is a topic of recent interest. In this paper, we present the classification constrained dimensionality reduction (CCDR) algorithm to account for label information. The algorithm can account for multiple classes as…

Machine Learning · Statistics 2009-09-29 Raviv Raich , Jose A. Costa , Steven B. Damelin , Alfred O. Hero

Dimensionality reduction is a common method for analyzing and visualizing high-dimensional data across domains. Dimensionality-reduction algorithms involve complex optimizations and the reduced dimensions computed by these algorithms…

Human-Computer Interaction · Computer Science 2017-08-16 Marco Cavallo , Çağatay Demiralp

Stochastic neighbor embedding (SNE) methods $t$-SNE, UMAP are two most popular dimensionality reduction methods for data visualization. Contrastive learning, especially self-supervised contrastive learning (SSCL), has showed great success…

Machine Learning · Computer Science 2023-09-18 Yi Zhang

Visualizing high-dimensional data is essential for understanding biomedical data and deep learning models. Neighbor embedding methods, such as t-SNE and UMAP, are widely used but can introduce misleading visual artifacts. We find that the…

Methodology · Statistics 2025-04-02 Zhexuan Liu , Rong Ma , Yiqiao Zhong

Dimensionality Reduction (DR) scatterplot layouts have become a ubiquitous visualization tool for analyzing multidimensional datasets. Despite their popularity, such scatterplots suffer from occlusion, especially when informative glyphs are…

Computer Vision and Pattern Recognition · Computer Science 2023-10-12 Gladys M. Hilasaca , Wilson E. Marcílio-Jr , Danilo M. Eler , Rafael M. Martins , Fernando V. Paulovich

DR-submodular continuous functions are important objectives with wide real-world applications spanning MAP inference in determinantal point processes (DPPs), and mean-field inference for probabilistic submodular models, amongst others.…

Machine Learning · Computer Science 2019-05-27 An Bian , Kfir Y. Levy , Andreas Krause , Joachim M. Buhmann

Visualizing high-dimensional data is an essential task in Data Science and Machine Learning. The Centroid-Encoder (CE) method is similar to the autoencoder but incorporates label information to keep objects of a class close together in the…

Machine Learning · Computer Science 2020-03-03 Tomojit Ghosh , Michael Kirby

Dimensionality reduction (DR) techniques inherently distort the original structure of input high-dimensional data, producing imperfect low-dimensional embeddings. Diverse distortion measures have thus been proposed to evaluate the…

Machine Learning · Computer Science 2023-08-14 Hyeon Jeon , Aeri Cho , Jinhwa Jang , Soohyun Lee , Jake Hyun , Hyung-Kwon Ko , Jaemin Jo , Jinwook Seo

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez

Non-linear dimensionality reduction can be performed by \textit{manifold learning} approaches, such as Stochastic Neighbour Embedding (SNE), Locally Linear Embedding (LLE) and Isometric Feature Mapping (ISOMAP). These methods aim to produce…

Machine Learning · Statistics 2021-12-09 Theodoulos Rodosthenous , Vahid Shahrezaei , Marina Evangelou

Learning representations that capture both intrinsic data geometry and target-relevant structure remains a fundamental challenge, particularly in settings where data reduction must balance compression with predictive fidelity. While…

Machine Learning · Computer Science 2026-05-28 Sai-Aakash Ramesh , Archit Sood , Andrew Corbett , Tim Dodwell

Visual Place Recognition (VPR) is fundamental for the global re-localization of robots and devices, enabling them to recognize previously visited locations based on visual inputs. This capability is crucial for maintaining accurate mapping…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Oliver Grainge , Michael Milford , Indu Bodala , Sarvapali D. Ramchurn , Shoaib Ehsan

A plethora of dimensionality reduction techniques have emerged over the past decades, leaving researchers and analysts with a wide variety of choices for reducing their data, all the more so given some techniques come with additional…

Machine Learning · Computer Science 2021-05-20 Cristina Morariu , Adrien Bibal , Rene Cutura , Benoît Frénay , Michael Sedlmair

Adversarial patch-based attacks have shown to be a major deterrent towards the reliable use of machine learning models. These attacks involve the strategic modification of localized patches or specific image areas to deceive trained machine…

Cryptography and Security · Computer Science 2023-11-22 Nandish Chattopadhyay , Amira Guesmi , Muhammad Abdullah Hanif , Bassem Ouni , Muhammad Shafique

Dimensionality reduction algorithms are standard tools in a researcher's toolbox. Dimensionality reduction algorithms are frequently used to augment downstream tasks such as machine learning, data science, and also are exploratory methods…

Machine Learning · Computer Science 2022-02-24 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Meredith Wolf , Hongjun Suh , Weiyu Zong , Peter Chin

Projections, or dimensionality reduction methods, are techniques of choice for the visual exploration of high-dimensional data. Many such techniques exist, each one of them having a distinct visual signature - i.e., a recognizable way to…

Human-Computer Interaction · Computer Science 2026-02-25 Alister Machado , Alexandru Telea , Michael Behrisch

Deep Neural Networks (DNNs) are usually over-parameterized, causing excessive memory and interconnection cost on the hardware platform. Existing pruning approaches remove secondary parameters at the end of training to reduce the model size;…

Machine Learning · Computer Science 2019-11-12 Gokul Krishnan , Xiaocong Du , Yu Cao

Diminished reality (DR) refers to the removal of real objects from the environment by virtually replacing them with their background. Modern DR frameworks use inpainting to hallucinate unobserved regions. While recent deep learning-based…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Christina Gsaxner , Shohei Mori , Dieter Schmalstieg , Jan Egger , Gerhard Paar , Werner Bailer , Denis Kalkofen
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