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Classical Principal Component Analysis (PCA) approximates data in terms of projections on a small number of orthogonal vectors. There are simple procedures to efficiently compute various functions of the data from the PCA approximation. The…

Machine Learning · Statistics 2019-07-26 Guihong Wan , Crystal Maung , Haim Schweitzer

Efficient representations of data are essential for processing, exploration, and human understanding, and Principal Component Analysis (PCA) is one of the most common dimensionality reduction techniques used for the analysis of large,…

Computation · Statistics 2023-11-06 Olga Dorabiala , Aleksandr Aravkin , J. Nathan Kutz

Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing improved interpretation of low-rank structures by identifying localized spatial structures in the data and disambiguating…

Principal component analysis (PCA) is a well-established tool in machine learning and data processing. The principal axes in PCA were shown to be equivalent to the maximum marginal likelihood estimator of the factor loading matrix in a…

Methodology · Statistics 2019-10-25 Mengyang Gu , Weining Shen

Robust PCA methods are typically batch algorithms which requires loading all observations into memory before processing. This makes them inefficient to process big data. In this paper, we develop an efficient online robust principal…

Machine Learning · Computer Science 2017-03-22 Wei Xiao , Xiaolin Huang , Jorge Silva , Saba Emrani , Arin Chaudhuri

Secure multi-party computation-based machine learning, referred to as MPL, has become an important technology to utilize data from multiple parties with privacy preservation. While MPL provides rigorous security guarantees for the…

Cryptography and Security · Computer Science 2022-08-19 Wenqiang Ruan , Mingxin Xu , Wenjing Fang , Li Wang , Lei Wang , Weili Han

Privacy-preserving computing is crucial for multi-center machine learning in many applications such as healthcare and finance. In this paper a Multi-center Privacy Computing framework with Predictions Aggregation (MPCPA) based on denoising…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-13 Guibo Luo , Hanwen Zhang , Xiuling Wang , Mingzhi Chen , Yuesheng Zhu

Formal Concept Analysis (FCA) is extensively used in knowledge extraction, cognitive concept learning, and data mining. However, its computational demands on large-scale datasets often require outsourcing to external computing services,…

Cryptography and Security · Computer Science 2025-12-01 Qiangqiang Chen , Yunfeng Ke , Shen Li , Jinhai Li

The assignment problem is an essential problem in many application fields and frequently used to optimize resource usage. The problem is well understood and various efficient algorithms exist to solve the problem. However, it was unclear…

Cryptography and Security · Computer Science 2022-05-09 Thomas Loruenser , Florian Wohner , Stephan Krenn

Secure multi-party computation (MPC) allows a set of parties to compute a function jointly while keeping their inputs private. Compared with the MPC based on garbled circuits,some recent research results show that MPC based on secret…

Cryptography and Security · Computer Science 2020-01-07 Satsuya Ohata , Koji Nuida

Secure Multiparty Computation (MPC) can improve the security and privacy of data owners while allowing analysts to perform high quality analytics. Secure aggregation is a secure distributed mechanism to support federated deep learning…

Cryptography and Security · Computer Science 2022-05-04 Timothy Stevens , Joseph Near , Christian Skalka

Logistic regression is an algorithm widely used for binary classification in various real-world applications such as fraud detection, medical diagnosis, and recommendation systems. However, training a logistic regression model with data…

Cryptography and Security · Computer Science 2023-09-19 Jing Liu , Jamie Cui , Cen Chen

Principal Component Analysis (PCA) is a well-known multivariate technique used to decorrelate a set of vectors. PCA has been extensively applied in the past to the classification of stellar and galaxy spectra. Here we apply PCA to the…

Astrophysics · Physics 2007-05-23 I. Ferreras , B. Rogers , O. Lahav , .

Principal Component Analysis (PCA) finds the best linear representation of data, and is an indispensable tool in many learning and inference tasks. Classically, principal components of a dataset are interpreted as the directions that…

Optimization and Control · Mathematics 2019-12-24 Raphael A. Hauser , Armin Eftekhari

We introduce primed-PCA (pPCA), a two-step algorithm for speeding up the approximation of principal components. This algorithm first runs any approximate-PCA method to get an initial estimate of the principal components (priming), and then…

Machine Learning · Computer Science 2022-05-23 Bálint Máté , François Fleuret

Countries across the globe have been pushing strict regulations on the protection of personal or private data collected. The traditional centralized machine learning method, where data is collected from end-users or IoT devices, so that it…

We describe scalable protocols for solving the secure multi-party computation (MPC) problem among a large number of parties. We consider both the synchronous and the asynchronous communication models. In the synchronous setting, our…

Data Structures and Algorithms · Computer Science 2015-09-29 Varsha Dani , Valerie King , Mahnush Movahedi , Jared Saia , Mahdi Zamani

Principal component analysis (PCA), a ubiquitous dimensionality reduction technique in signal processing, searches for a projection matrix that minimizes the mean squared error between the reduced dataset and the original one. Since…

Machine Learning · Computer Science 2022-08-25 Guilherme Dean Pelegrina , Leonardo Tomazeli Duarte

Secure multiparty computation (MPC) allows data owners to train machine learning models on combined data while keeping the underlying training data private. The MPC threat model either considers an adversary who passively corrupts some…

Cryptography and Security · Computer Science 2025-05-26 Matthew Jagielski , Daniel Escudero , Rahul Rachuri , Peter Scholl

The present paper applied Principal Component Analysis (PCA) for grouping of machines and parts so that the part families can be processed in the cells formed by those associated machines. An incidence matrix with binary entries has been…

Adaptation and Self-Organizing Systems · Physics 2012-02-27 Manojit Chattopadhyay , Surajit Chattopadhyay , Pranab K Dan
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