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Dimensionality reduction (DR) algorithms compress high-dimensional data into a lower dimensional representation while preserving important features of the data. DR is a critical step in many analysis pipelines as it enables visualisation,…

Machine Learning · Statistics 2023-05-26 Aditya Ravuri , Francisco Vargas , Vidhi Lalchand , Neil D. Lawrence

This work investigates the ways in which deep learning methods can benefit from random projection (RP), a classic linear dimensionality reduction method. We focus on two areas where, as we have found, employing RP techniques can improve…

Machine Learning · Computer Science 2018-12-27 Piotr Iwo Wójcik

Dimension reduction (DR) techniques such as t-SNE, UMAP, and TriMAP have demonstrated impressive visualization performance on many real world datasets. One tension that has always faced these methods is the trade-off between preservation of…

Machine Learning · Computer Science 2021-08-27 Yingfan Wang , Haiyang Huang , Cynthia Rudin , Yaron Shaposhnik

Autoencoders are widely used for dimensionality reduction, based on the assumption that high-dimensional data lies on low-dimensional manifolds. Regularized autoencoders aim to preserve manifold geometry during dimensionality reduction, but…

Machine Learning · Computer Science 2026-04-09 Qipeng Zhan , Zhuoping Zhou , Zexuan Wang , Qi Long , Li Shen

Modeling data as being sampled from a union of independent subspaces has been widely applied to a number of real world applications. However, dimensionality reduction approaches that theoretically preserve this independence assumption have…

Machine Learning · Computer Science 2016-04-08 Devansh Arpit , Ifeoma Nwogu , Venu Govindaraju

Approximate nearest neighbor (ANN) search with range filters has recently garnered significant attention. This paper delves into a generalized form of this problem, i.e., ANN search with exact range-range (RR) predicates on a range-valued…

Databases · Computer Science 2026-05-27 Yingfan Liu , Tong Wu , Jiadong Xie , Yang Zhao , Jeffrey Xu Yu , Jiangtao Cui

Embodied agents operating in complex and uncertain environments face considerable challenges. While some advanced agents handle complex manipulation tasks with proficiency, their success often hinges on extensive training data to develop…

Robotics · Computer Science 2024-04-19 Yichen Zhu , Zhicai Ou , Xiaofeng Mou , Jian Tang

Reinforcement Learning (RL) algorithms can learn robotic control tasks from visual observations, but they often require a large amount of data, especially when the visual scene is complex and unstructured. In this paper, we explore how the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Ameya Pore , Riccardo Muradore , Diego Dall'Alba

Randomized dimensionality reduction has been recognized as one of the fundamental techniques in handling high-dimensional data. Starting with the celebrated Johnson-Lindenstrauss Lemma, such reductions have been studied in depth for the…

Computational Geometry · Computer Science 2019-09-10 Ioannis Z. Emiris , Vasilis Margonis , Ioannis Psarros

Recent advance in Dense Retrieval (DR) techniques has significantly improved the effectiveness of first-stage retrieval. Trained with large-scale supervised data, DR models can encode queries and documents into a low-dimensional dense space…

Information Retrieval · Computer Science 2022-08-18 Jingtao Zhan , Qingyao Ai , Yiqun Liu , Jiaxin Mao , Xiaohui Xie , Min Zhang , Shaoping Ma

Reduced rank extrapolation (RRE) is an acceleration method typically used to accelerate the iterative solution of nonlinear systems of equations using a fixed-point process. In this context, the iterates are vectors generated from a…

Data are not only ubiquitous in society, but are increasingly complex both in size and dimensionality. Dimension reduction offers researchers and scholars the ability to make such complex, high dimensional data spaces simpler and more…

Machine Learning · Computer Science 2021-03-15 Philip D. Waggoner

Integrated artificial intelligence (AI) and communication has been recognized as a key pillar of 6G and beyond networks. In line with AI-native 6G vision, explainability and robustness in AI-driven systems are critical for establishing…

Signal Processing · Electrical Eng. & Systems 2025-01-31 Nasir Khan , Asmaa Abdallah , Abdulkadir Celik , Ahmed M. Eltawil , Sinem Coleri

A new algorithmic framework is proposed for learning autoencoders of data distributions. We minimize the discrepancy between the model and target distributions, with a \emph{relational regularization} on the learnable latent prior. This…

Machine Learning · Computer Science 2020-06-29 Hongteng Xu , Dixin Luo , Ricardo Henao , Svati Shah , Lawrence Carin

Attributed network representation learning aims at learning node embeddings by integrating network structure and attribute information. It is a challenge to fully capture the microscopic structure and the attribute semantics simultaneously,…

Artificial Intelligence · Computer Science 2021-04-13 Cong Li , Min Shi , Bo Qu , Xiang Li

Previous knowledge graph embedding approaches usually map entities to representations and utilize score functions to predict the target entities, yet they typically struggle to reason rare or emerging unseen entities. In this paper, we…

Computation and Language · Computer Science 2023-08-01 Peng Wang , Xin Xie , Xiaohan Wang , Ningyu Zhang

Entity Alignment (EA) aims to match equivalent entities in different Knowledge Graphs (KGs), which is essential for knowledge fusion and integration. Recently, embedding-based EA has attracted significant attention and many approaches have…

Computation and Language · Computer Science 2024-08-05 Zhichun Wang , Xuan Chen

Several variants of recurrent neural networks (RNNs) with orthogonal or unitary recurrent matrices have recently been developed to mitigate the vanishing/exploding gradient problem and to model long-term dependencies of sequences. However,…

Machine Learning · Computer Science 2019-11-20 Kyle Helfrich , Qiang Ye

We tackle the problem of unsupervised visual descriptors compression, which is a key ingredient of large-scale image retrieval systems. While the deep learning machinery has benefited literally all computer vision pipelines, the existing…

Machine Learning · Computer Science 2019-08-13 Stanislav Morozov , Artem Babenko

To address the challenges of reliable statistical inference in high-dimensional models, we introduce the Synthetic-data Regularized Estimator (SRE). Unlike traditional regularization methods, the SRE regularizes the complex target model via…

Statistics Theory · Mathematics 2025-03-18 Weihao Li , Dongming Huang