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High-dimensional image data often require dimensionality reduction before further analysis. This paper provides a purely analytical comparison of two linear techniques-Principal Component Analysis (PCA) and Singular Value Decomposition…

Computer Vision and Pattern Recognition · Computer Science 2025-06-27 Michael Gyimadu , Gregory Bell , Ph. D

Principal Subspace Analysis (PSA) -- and its sibling, Principal Component Analysis (PCA) -- is one of the most popular approaches for dimensionality reduction in signal processing and machine learning. But centralized PSA/PCA solutions are…

Machine Learning · Computer Science 2021-11-25 Arpita Gang , Bingqing Xiang , Waheed U. Bajwa

Molecular simulations produce very high-dimensional data-sets with millions of data points. As analysis methods are often unable to cope with so many dimensions, it is common to use dimensionality reduction and clustering methods to reach a…

Machine Learning · Statistics 2017-11-03 Stefan Doerr , Igor Ariz-Extreme , Matthew J. Harvey , Gianni De Fabritiis

In this work we show that the classification performance of high-dimensional structural MRI data with only a small set of training examples is improved by the usage of dimension reduction methods. We assessed two different dimension…

Machine Learning · Computer Science 2015-05-27 Andreas Grünauer , Markus Vincze

This paper presents an extensive empirical study on the integration of dimensionality reduction techniques with advanced unsupervised time series anomaly detection models, focusing on the MUTANT and Anomaly-Transformer models. The study…

Machine Learning · Computer Science 2024-03-08 Mahsun Altin , Altan Cakir

Autoregressive large language models (LLMs) are bottlenecked by sequential decoding, where each new token typically requires executing all transformer layers. Existing dynamic-depth and layer-skipping methods reduce this cost, but often…

Computation and Language · Computer Science 2026-01-07 Hossein Rajabzadeh , Maryam Dialameh , Chul B. Park , Il-Min Kim , Hyock Ju Kwon

Estimating intrinsic dimensionality of data is a classic problem in pattern recognition and statistics. Principal Component Analysis (PCA) is a powerful tool in discovering dimensionality of data sets with a linear structure; it, however,…

Computer Vision and Pattern Recognition · Computer Science 2010-02-11 Mingyu Fan , Nannan Gu , Hong Qiao , Bo Zhang

Random Projection (RP) technique has been widely applied in many scenarios because it can reduce high-dimensional features into low-dimensional space within short time and meet the need of real-time analysis of massive data. There is an…

Machine Learning · Computer Science 2017-06-20 Haozhe Xie , Jie Li , Qiaosheng Zhang , Yadong Wang

Sparse principal component analysis (PCA) aims at mapping large dimensional data to a linear subspace of lower dimension. By imposing loading vectors to be sparse, it performs the double duty of dimension reduction and variable selection.…

Machine Learning · Statistics 2024-01-17 Jasin Machkour , Arnaud Breloy , Michael Muma , Daniel P. Palomar , Frédéric Pascal

Low-Rank Adaptation (LoRA) is currently the most commonly used Parameter-efficient fine-tuning (PEFT) method, it introduces auxiliary parameters for each layer to fine-tune the pre-trained model under limited computing resources. However,…

Machine Learning · Computer Science 2024-06-19 Hongyun Zhou , Xiangyu Lu , Wang Xu , Conghui Zhu , Tiejun Zhao , Muyun Yang

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

Machine Learning · Computer Science 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

The scalability of statistical estimators is of increasing importance in modern applications. One approach to implementing scalable algorithms is to compress data into a low dimensional latent space using dimension reduction methods. In…

Machine Learning · Statistics 2015-04-14 Gregory Darnell , Stoyan Georgiev , Sayan Mukherjee , Barbara E Engelhardt

Modern safety-critical systems are heterogeneous, complex, and highly dynamic. They require reliability evaluation methods that go beyond the classical static methods such as fault trees, event trees, or reliability block diagrams.…

Logic in Computer Science · Computer Science 2020-04-15 Clemens Dubslaff , Andrey Morozov , Christel Baier , Klaus Janschek

LoRA-based large model parameter-efficient fine-tuning (PEFT) methods use low-rank de- composition to approximate updates to model parameters. However, compared to full- parameter fine-tuning, low-rank updates often lead to a performance…

Computation and Language · Computer Science 2025-08-26 Haojie Zhang

This research gauges the ability of deep reinforcement learning (DRL) techniques to assist the optimization and control of fluid mechanical systems. It combines a novel, "degenerate" version of the proximal policy optimization (PPO)…

Optimization and Control · Mathematics 2021-05-19 H. Ghraieb , J. Viquerat , A. Larcher , P. Meliga , E. Hachem

Despite dropout's ubiquity in machine learning, its effectiveness as a form of data augmentation remains under-explored. We address two key questions: (i) When is dropout effective as an augmentation strategy? (ii) Is dropout uniquely…

Machine Learning · Computer Science 2025-06-02 Rickard Brüel-Gabrielsson , Tongzhou Wang , Manel Baradad , Justin Solomon

This study investigates privacy leakage in dimensionality reduction methods through a novel machine learning-based reconstruction attack. Employing an informed adversary threat model, we develop a neural network capable of reconstructing…

Cryptography and Security · Computer Science 2025-06-03 Chayadon Lumbut , Donlapark Ponnoprat

Supervised fine-tuning is the most common method to adapt large language models (LLMs) to downstream tasks, but full fine-tuning LLMs requires massive computational resources. Recently, parameter-efficient fine-tuning (PEFT) methods have…

Computation and Language · Computer Science 2024-02-27 Xiangdi Meng , Damai Dai , Weiyao Luo , Zhe Yang , Shaoxiang Wu , Xiaochen Wang , Peiyi Wang , Qingxiu Dong , Liang Chen , Zhifang Sui

Dimensionality reduction of decision variables is a practical and classic method to reduce the computational burden in linear and Nonlinear Model Predictive Control (NMPC). Available results range from early move-blocking ideas to…

Optimization and Control · Mathematics 2023-06-30 Guanru Pan , Timm Faulwasser

Deep neural networks have dramatically achieved great success on a variety of challenging tasks. However, most successful DNNs have an extremely complex structure, leading to extensive research on model compression.As a significant area of…

Machine Learning · Computer Science 2020-04-13 Haipeng Jia , Xueshuang Xiang , Da Fan , Meiyu Huang , Changhao Sun , Yang He