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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

In our "big data" age, the size and complexity of data is steadily increasing. Methods for dimension reduction are ever more popular and useful. Two distinct types of dimension reduction are "data-oblivious" methods such as random…

Statistics Theory · Mathematics 2021-03-30 Fan Yang , Sifan Liu , Edgar Dobriban , David P. Woodruff

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 techniques play important roles in the analysis of big data. Traditional dimensionality reduction approaches, such as principal component analysis (PCA) and linear discriminant analysis (LDA), have been studied…

Machine Learning · Computer Science 2018-05-31 Haozhe Xie , Jie Li , Hanqing Xue

The memorization of training data by neural networks raises pressing concerns for privacy and security. Recent work has shown that, under certain conditions, portions of the training set can be reconstructed directly from model parameters.…

Machine Learning · Computer Science 2025-09-26 Yehonatan Refael , Guy Smorodinsky , Ofir Lindenbaum , Itay Safran

Reconstruction attacks and defenses are essential in understanding the data leakage problem in machine learning. However, prior work has centered around empirical observations of gradient inversion attacks, lacks theoretical grounding, and…

Cryptography and Security · Computer Science 2025-03-25 Sheng Liu , Zihan Wang , Yuxiao Chen , Qi Lei

Data reconstruction attacks on machine learning models pose a substantial threat to privacy, potentially leaking sensitive information. Although defending against such attacks using differential privacy (DP) provides theoretical guarantees,…

Machine Learning · Computer Science 2025-03-11 Kristian Schwethelm , Johannes Kaiser , Moritz Knolle , Sarah Lockfisch , Daniel Rueckert , Alexander Ziller

Data reconstruction attacks on trained neural networks aim to recover the data on which the network has been trained and pose a significant threat to privacy, especially if the training dataset contains sensitive information. Here, we…

Machine Learning · Computer Science 2026-05-08 Edward Tansley , Roy Makhlouf , Estelle Massart , Coralia Cartis

This paper investigates capabilities of Privacy-Preserving Deep Learning (PPDL) mechanisms against various forms of privacy attacks. First, we propose to quantitatively measure the trade-off between model accuracy and privacy losses…

Machine Learning · Computer Science 2020-06-25 Lixin Fan , Kam Woh Ng , Ce Ju , Tianyu Zhang , Chang Liu , Chee Seng Chan , Qiang Yang

Protecting sensitive information against data exploiting attacks is an emerging research area in data mining. Over the past, several different methods have been introduced to protect individual privacy from such attacks while maximizing…

Cryptography and Security · Computer Science 2021-07-29 Hung Nguyen , Di Zhuang , Pei-Yuan Wu , Morris Chang

Gradient leakage has been identified as a potential source of privacy breaches in modern image processing systems, where the adversary can completely reconstruct the training images from leaked gradients. However, existing methods are…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Jiayang Meng , Tao Huang , Hong Chen , Cuiping Li

The widespread adoption of large language models (LLMs) has raised concerns regarding data privacy. This study aims to investigate the potential for privacy invasion through input reconstruction attacks, in which a malicious model provider…

Machine Learning · Computer Science 2024-05-24 Zhipeng Wan , Anda Cheng , Yinggui Wang , Lei Wang

Random projection is widely used as a method of dimension reduction. In recent years, its combination with standard techniques of regression and classification has been explored. Here we examine its use with principal component analysis…

Methodology · Statistics 2012-04-13 Qi Ding , Eric D. Kolaczyk

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

Dimensionality reduction techniques are widely used for visualizing high-dimensional data in two dimensions. Existing methods are typically designed to preserve either local (e.g., $t$-SNE, UMAP) or global (e.g., MDS, PCA) structure of the…

Machine Learning · Computer Science 2026-02-02 Noël Kury , Dmitry Kobak , Sebastian Damrich

We evaluate the information that can unintentionally leak into the low dimensional output of a neural network, by reconstructing an input image from a 40- or 32-element feature vector that intends to only describe abstract attributes of a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Kathleen Anderson , Thomas Martinetz

While 3D head reconstruction is widely used for modeling, existing neural reconstruction approaches rely on high-resolution multi-view images, posing notable privacy issues. Individuals are particularly sensitive to facial features, and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-02 Jiayi Kong , Xurui Song , Shuo Huai , Baixin Xu , Jun Luo , Ying He

Differential privacy (DP) is by far the most widely accepted framework for mitigating privacy risks in machine learning. However, exactly how small the privacy parameter $\epsilon$ needs to be to protect against certain privacy risks in…

Machine Learning · Computer Science 2023-08-11 Chuan Guo , Alexandre Sablayrolles , Maziar Sanjabi

Principal component analysis (PCA) is a well-known linear dimension-reduction method that has been widely used in data analysis and modeling. It is an unsupervised learning technique that identifies a suitable linear subspace for the input…

Machine Learning · Statistics 2021-09-10 Shaojie Xu , Joel Vaughan , Jie Chen , Agus Sudjianto , Vijayan Nair

Federated Learning (FL) emerged as a paradigm for conducting machine learning across broad and decentralized datasets, promising enhanced privacy by obviating the need for direct data sharing. However, recent studies show that attackers can…

Computation and Language · Computer Science 2024-11-28 Xueluan Gong , Yuji Wang , Shuaike Li , Mengyuan Sun , Songze Li , Qian Wang , Kwok-Yan Lam , Chen Chen
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