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The quest for simplification in physics drives the exploration of concise mathematical representations for complex systems. This Dissertation focuses on the concept of dimensionality reduction as a means to obtain low-dimensional…

Machine Learning · Computer Science 2024-10-31 Eslam Abdelaleem

When faced with new data, we often conduct a cluster analysis to obtain a better understanding of the data's structure and the archetypical samples present in the data. This process often includes visualization of the data, either as a way…

Applications · Statistics 2026-04-06 Justin Lin , Julia Fukuyama

We present a new nonlinear dimensionality reduction method, MAPLE, that enhances UMAP by improving manifold modeling. MAPLE employs a self-supervised learning approach to more efficiently encode low-dimensional manifold geometry. Central to…

Machine Learning · Computer Science 2026-05-15 Zeyang Huang , Takanori Fujiwara , Angelos Chatzimparmpas , Wandrille Duchemin , Andreas Kerren

Dimensionality reduction algorithms are often used to visualise high-dimensional data. Previously, studies have used prior information to enhance or suppress expected patterns in projections. In this paper, we adapt such techniques for…

Machine Learning · Computer Science 2024-05-16 Daniel M. Bot , Jan Aerts

We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian densities. Information on the dimension reduction subspace is obtained from the variation on group means and,…

Methodology · Statistics 2015-08-10 Luca Scrucca

Mamba-based vision models have gained extensive attention as a result of being computationally more efficient than attention-based models. However, spatial redundancy still exists in these models, represented by token and block redundancy.…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Mengxuan Wu , Zekai Li , Zhiyuan Liang , Moyang Li , Xuanlei Zhao , Samir Khaki , Zheng Zhu , Xiaojiang Peng , Konstantinos N. Plataniotis , Kai Wang , Wangbo Zhao , Yang You

To reconstruct the 3D geometry from calibrated images, learning-based multi-view stereo (MVS) methods typically perform multi-view depth estimation and then fuse depth maps into a mesh or point cloud. To improve the computational…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Fangjinhua Wang , Qingshan Xu , Yew-Soon Ong , Marc Pollefeys

Although deep neural networks have made remarkable achievements in the field of automatic modulation recognition (AMR), these models often require a large amount of labeled data for training. However, in many practical scenarios, the…

Machine Learning · Computer Science 2025-07-17 Yao Lu , Hongyu Gao , Zhuangzhi Chen , Dongwei Xu , Yun Lin , Qi Xuan , Guan Gui

Image denoising is a fundamental problem in computational photography, where achieving high perception with low distortion is highly demanding. Current methods either struggle with perceptual quality or suffer from significant distortion.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Tong Li , Hansen Feng , Lizhi Wang , Zhiwei Xiong , Hua Huang

Data-driven problem solving in many real-world applications involves analysis of time-dependent multivariate data, for which dimensionality reduction (DR) methods are often used to uncover the intrinsic structure and features of the data.…

Human-Computer Interaction · Computer Science 2021-10-28 Takanori Fujiwara , Shilpika , Naohisa Sakamoto , Jorji Nonaka , Keiji Yamamoto , Kwan-Liu Ma

We first show that the commonly used dimensionality reduction (DR) methods such as t-SNE and LargeVis poorly capture the global structure of the data in the low dimensional embedding. We show this via a number of tests for the DR methods…

Machine Learning · Computer Science 2018-03-05 Ehsan Amid , Manfred K. Warmuth

Large Multimodal Models (LMMs), or Vision-Language Models (VLMs), have shown impressive capabilities in a wide range of visual tasks. However, they often struggle with fine-grained visual reasoning, failing to identify domain-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-02-26 Yucheng Shi , Quanzheng Li , Jin Sun , Xiang Li , Ninghao Liu

Data visualization (DV) is the fundamental and premise tool to improve the efficiency in conveying the insights behind the big data, which has been widely accepted in existing data-driven world. Task automation in DV, such as converting…

Computation and Language · Computer Science 2025-05-28 Zhuoyue Wan , Yuanfeng Song , Shuaimin Li , Chen Jason Zhang , Raymond Chi-Wing Wong

In recent years, considerable attention has been devoted to the regularization models due to the presence of high-dimensional data in scientific research. Sparse support vector machine (SVM) are useful tools in high-dimensional data…

Computation · Statistics 2023-12-27 Jiawei Wen

In recent years, machine learning (ML) has gained significant popularity in the field of chemical informatics and electronic structure theory. These techniques often require researchers to engineer abstract "features" that encode chemical…

Human-Computer Interaction · Computer Science 2022-07-11 Xiangyun Lei , Fred Hohman , Duen Horng Chau , Andrew J. Medford

Effective visual accessibility in Virtual Reality (VR) is crucial for Blind and Low Vision (BLV) users. However, designing visual accessibility systems is challenging due to the complexity of 3D VR environments and the need for techniques…

Human-Computer Interaction · Computer Science 2025-02-07 Junlong Chen , Rosella P. Galindo Esparza , Vanja Garaj , Per Ola Kristensson , John Dudley

Empirical interpolation method (EIM) is a well-known technique to efficiently approximate parameterized functions. This paper proposes to use EIM algorithm to efficiently reduce the dimension of the training data within supervised machine…

Machine Learning · Computer Science 2023-05-18 Harbir Antil , Madhu Gupta , Randy Price

Representation learning and unsupervised learning are two central topics of machine learning and signal processing. Deep learning is one of the most effective unsupervised representation learning approach. The main contributions of this…

Machine Learning · Computer Science 2014-01-06 Xiao-Lei Zhang , Ji Wu

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

Vision-and-language (V-L) tasks require the system to understand both vision content and natural language, thus learning fine-grained joint representations of vision and language (a.k.a. V-L representations) is of paramount importance.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Fenglin Liu , Xian Wu , Shen Ge , Xuancheng Ren , Wei Fan , Xu Sun , Yuexian Zou