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Principal Component Analysis (PCA) is known to be the most widely applied dimensionality reduction approach. A lot of improvements have been done on the traditional PCA, in order to obtain optimal results in the dimensionality reduction of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-28 Chisom Ezinne Ogbuanya

Dimensionality reduction is a critical preprocessing step for clustering high-dimensional data, yet comprehensive evaluation of its impact across diverse methods and data types remains limited. In this study, we systematically assess the…

Machine Learning · Computer Science 2026-05-13 Ousmane Assani-Amate , Mohammadreza Bakhtyari , Émilie Roy , Vladimir Makarenkov

Recent developments in the unsupervised domain adaptation (UDA) enable the unsupervised machine learning (ML) prediction for target data, thus this will accelerate real world applications with ML models such as image recognition tasks in…

Machine Learning · Computer Science 2025-02-18 Hisashi Oshima , Tsuyoshi Ishizone , Tomoyuki Higuchi

High dimensional data and systems with many degrees of freedom are often characterized by covariance matrices. In this paper, we consider the problem of simultaneously estimating the dimension of the principal (dominant) subspace of these…

Numerical Analysis · Computer Science 2018-10-10 Shashanka Ubaru , Abd-Krim Seghouane , Yousef Saad

How to solve high-dimensional linear programs (LPs) efficiently is a fundamental question. Recently, there has been a surge of interest in reducing LP sizes using random projections, which can accelerate solving LPs independently of…

Machine Learning · Computer Science 2024-05-22 Shinsaku Sakaue , Taihei Oki

High-dimensional big data appears in many research fields such as image recognition, biology and collaborative filtering. Often, the exploration of such data by classic algorithms is encountered with difficulties due to `curse of…

Machine Learning · Computer Science 2016-07-13 Amit Bermanis , Aviv Rotbart , Moshe Salhov , Amir Averbuch

The performance of deep neural networks is well-known to be sensitive to the setting of their hyperparameters. Recent advances in reverse-mode automatic differentiation allow for optimizing hyperparameters with gradients. The standard way…

Machine Learning · Computer Science 2016-04-07 Jie Fu , Hongyin Luo , Jiashi Feng , Kian Hsiang Low , Tat-Seng Chua

Machine Learning facilitates building a large variety of models, starting from elementary linear regression models to very complex neural networks. Neural networks are currently limited by the size of data provided and the huge…

Materials Science · Physics 2023-08-25 Ruman Moulik , Ankita Phutela , Sajjan Sheoran , Saswata Bhattacharya

Domain adaptation (DA) aims to generalize a learning model across training and testing data despite the mismatch of their data distributions. In light of a theoretical estimation of upper error bound, we argue in this paper that an…

Computer Vision and Pattern Recognition · Computer Science 2018-01-01 Lingkun Luo , Liming Chen , Shiqiang Hu , Ying Lu , Xiaofang Wang

We present a novel, domain-agnostic, model-independent, unsupervised, and universally applicable Machine Learning approach for dimensionality reduction based on the principles of algorithmic complexity. Specifically, but without loss of…

Data Structures and Algorithms · Computer Science 2025-05-06 Hector Zenil , Narsis A. Kiani , Alyssa Adams , Felipe S. Abrahão , Antonio Rueda-Toicen , Allan A. Zea , Luan Ozelim , Jesper Tegnér

Semi-supervised learning algorithms reduce the high cost of acquiring labeled training data by using both labeled and unlabeled data during learning. Deep Convolutional Networks (DCNs) have achieved great success in supervised tasks and as…

Machine Learning · Statistics 2016-12-07 Tan Nguyen , Wanjia Liu , Ethan Perez , Richard G. Baraniuk , Ankit B. Patel

Unsupervised domain adaptation techniques have been successful for a wide range of problems where supervised labels are limited. The task is to classify an unlabeled `target' dataset by leveraging a labeled `source' dataset that comes from…

Machine Learning · Computer Science 2018-07-10 Issam Laradji , Reza Babanezhad

Different unsupervised models for dimensionality reduction like PCA, LLE, Shannon's mapping, tSNE, UMAP, etc. work on different principles, hence, they are difficult to compare on the same ground. Although they are usually good for…

Methodology · Statistics 2024-05-10 Subhrajyoty Roy

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

Generalization of time series prediction remains an important open issue in machine learning, wherein earlier methods have either large generalization error or local minima. We develop an analytically solvable, unsupervised learning scheme…

Machine Learning · Statistics 2022-01-21 Takuya Isomura , Taro Toyoizumi

Unsupervised domain adaptation (UDA) and domain generalization (DG) enable machine learning models trained on a source domain to perform well on unlabeled or even unseen target domains. As previous UDA&DG semantic segmentation methods are…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Lukas Hoyer , Dengxin Dai , Luc Van Gool

This paper proposes a supervised dimension reduction methodology for tensor data which has two advantages over most image-based prognostic models. First, the model does not require tensor data to be complete which expands its application to…

Machine Learning · Computer Science 2023-06-06 Chengyu Zhou , Xiaolei Fang

In many modern data sets, High dimension low sample size (HDLSS) data is prevalent in many fields of studies. There has been an increased focus recently on using machine learning and statistical methods to mine valuable information out of…

Optimization and Control · Mathematics 2023-05-23 Srivathsan Amruth , Xin Yee Lam

Unlike model-based direction of arrival (DoA) estimation algorithms, supervised learning-based DoA estimation algorithms based on deep neural networks (DNNs) are usually trained for one specific microphone array geometry, resulting in poor…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-12 Ulrik Kowalk , Simon Doclo , Joerg Bitzer

Machine learning (ML) has been well applied to studying equilibrium phase transition models, by accurately predicating critical thresholds and some critical exponents. Difficulty will be raised, however, for integrating ML into…

Statistical Mechanics · Physics 2024-02-27 Jianmin Shen , Wei Li , Shengfeng Deng , Tao Zhang