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We study adaptive data-dependent dimensionality reduction in the context of supervised learning in general metric spaces. Our main statistical contribution is a generalization bound for Lipschitz functions in metric spaces that are…

Machine Learning · Computer Science 2015-03-26 Lee-Ad Gottlieb , Aryeh Kontorovich , Robert Krauthgamer

Large models and enormous data are essential driving forces of the unprecedented successes achieved by modern algorithms, especially in scientific computing and machine learning. Nevertheless, the growing dimensionality and model…

Machine Learning · Computer Science 2023-10-04 Yijun Dong

Dimensionality reduction is a fundamental technique in machine learning and data analysis, enabling efficient representation and visualization of high-dimensional data. This paper explores five key methods: Principal Component Analysis…

Other Statistics · Statistics 2025-02-19 Yuan-chin Ivan Chang

With the popularity of Machine Learning (ML) solutions, algorithms and data have been released faster than the capacity of processing them. In this context, the problem of Algorithm Recommendation (AR) is receiving a significant deal of…

Dimensionality reduction is often used as an initial step in data exploration, either as preprocessing for classification or regression or for visualization. Most dimensionality reduction techniques to date are unsupervised; they do not…

Machine Learning · Statistics 2020-06-17 Jake S. Rhodes , Adele Cutler , Guy Wolf , Kevin R. Moon

In this paper, the existing Scheduling Dimension Reduction (SDR) methods for Linear Parameter-Varying (LPV) models are reviewed and a Deep Neural Network (DNN) approach is developed that achieves higher model accuracy under scheduling…

Systems and Control · Electrical Eng. & Systems 2020-12-10 P. J. W. Koelewijn , R. Tóth

Developing interpretable machine learning models has become an increasingly important issue. One way in which data scientists have been able to develop interpretable models has been to use dimension reduction techniques. In this paper, we…

Machine Learning · Computer Science 2023-03-23 Sean H. Merritt , Alexander P. Christensen

We propose a direct domain adaptation (DDA) approach to enrich the training of supervised neural networks on synthetic data by features from real-world data. The process involves a series of linear operations on the input features to the NN…

Machine Learning · Computer Science 2021-08-18 Tariq Alkhalifah , Oleg Ovcharenko

Scalability of statistical estimators is of increasing importance in modern applications and dimension reduction is often used to extract relevant information from data. A variety of popular dimension reduction approaches can be framed as…

Machine Learning · Statistics 2013-11-07 Stoyan Georgiev , Sayan Mukherjee

Unsupervised Domain Adaptation (DA) exploits the supervision of a label-rich source dataset to make predictions on an unlabeled target dataset by aligning the two data distributions. In robotics, DA is used to take advantage of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Mohammad Reza Loghmani , Luca Robbiano , Mirco Planamente , Kiru Park , Barbara Caputo , Markus Vincze

The success of deep learning in computer vision is mainly attributed to an abundance of data. However, collecting large-scale data is not always possible, especially for the supervised labels. Unsupervised domain adaptation (UDA) aims to…

Computer Vision and Pattern Recognition · Computer Science 2018-01-01 Jiren Jin , Richard G. Calland , Takeru Miyato , Brian K. Vogel , Hideki Nakayama

Domain adaption (DA) allows machine learning methods trained on data sampled from one distribution to be applied to data sampled from another. It is thus of great practical importance to the application of such methods. Despite the fact…

Computer Vision and Pattern Recognition · Computer Science 2017-07-20 Hao Lu , Lei Zhang , Zhiguo Cao , Wei Wei , Ke Xian , Chunhua Shen , Anton van den Hengel

Dimensionality reduction represents a critical preprocessing step in order to increase the efficiency and the performance of many hyperspectral imaging algorithms. However, dimensionality reduction algorithms, such as the Principal…

Machine Learning · Computer Science 2024-03-28 E. Martel , R. Lazcano , J. Lopez , D. Madroñal , R. Salvador , S. Lopez , E. Juarez , R. Guerra , C. Sanz , R. Sarmiento

Unsupervised learning aims to capture the underlying structure of potentially large and high-dimensional datasets. Traditionally, this involves using dimensionality reduction (DR) methods to project data onto lower-dimensional spaces or…

Machine Learning · Computer Science 2025-06-30 Hugues Van Assel , Cédric Vincent-Cuaz , Nicolas Courty , Rémi Flamary , Pascal Frossard , Titouan Vayer

Dimensionality reduction methods are unsupervised approaches which learn low-dimensional spaces where some properties of the initial space, typically the notion of "neighborhood", are preserved. Such methods usually require propagation on…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Yannis Kalantidis , Carlos Lassance , Jon Almazan , Diane Larlus

In order to process efficiently ever-higher dimensional data such as images, sentences, or audio recordings, one needs to find a proper way to reduce the dimensionality of such data. In this regard, SVD-based methods including PCA and…

Machine Learning · Computer Science 2021-03-09 Quentin Fournier , Daniel Aloise

Dimensionality reduction is a critical step in scaling machine learning pipelines. Principal component analysis (PCA) is a standard tool for dimensionality reduction, but performing PCA over a full dataset can be prohibitively expensive. As…

Databases · Computer Science 2020-08-25 Sahaana Suri , Peter Bailis

Leveraging artificial intelligence (AI)-driven electronic design and automation (EDA) tools, high-performance computing, and parallelized algorithms are essential for next-generation microprocessor innovation, ensuring continued progress in…

Hardware Architecture · Computer Science 2025-07-21 Riadul Islam , Dhandeep Challagundla

The goal of supervised representation learning is to construct effective data representations for prediction. Among all the characteristics of an ideal nonparametric representation of high-dimensional complex data, sufficiency, low…

Machine Learning · Computer Science 2022-09-02 Jian Huang , Yuling Jiao , Xu Liao , Jin Liu , Zhou Yu

We consider multi-class classification problems for high dimensional data. Following the idea of reduced-rank linear discriminant analysis (LDA), we introduce a new dimension reduction tool with a flavor of supervised principal component…

Methodology · Statistics 2017-03-28 Yue Selena Niu , Ning Hao , Bin Dong