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This paper investigates the problem of Secure Multi-party Batch Matrix Multiplication (SMBMM), where a user aims to compute the pairwise products…

Information Theory · Computer Science 2021-07-21 Jinbao Zhu , Qifa Yan , Xiaohu Tang

t-Stochastic Neighbor Embedding (t-SNE) is a non-parametric data visualization method in classical machine learning. It maps the data from the high-dimensional space into a low-dimensional space, especially a two-dimensional plane, while…

Quantum Physics · Physics 2022-02-10 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

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

High-dimensional data, characterized by many features, can be difficult to visualize effectively. Dimensionality reduction techniques, such as PCA, UMAP, and t-SNE, address this challenge by projecting the data into a lower-dimensional…

In an era where big and high-dimensional data is readily available, data scientists are inevitably faced with the challenge of reducing this data for expensive downstream computation or analysis. To this end, we present here a new method…

Methodology · Statistics 2018-06-05 Simon Mak , V. Roshan Joseph

As the volume of stored data continues to grow, identifying and protecting sensitive information within large repositories becomes increasingly challenging, especially when shared with multiple users with different roles and permissions.…

Cryptography and Security · Computer Science 2026-01-12 Mete Harun Akcay , Buse Gul Atli , Siddharth Prakash Rao , Alexandros Bakas

The clustering and visualisation of high-dimensional data is a ubiquitous task in modern data science. Popular techniques include nonlinear dimensionality reduction methods like t-SNE or UMAP. These methods face the `scale-problem' of…

Machine Learning · Statistics 2025-10-20 Jack Kendrick

Combining data from varied sources has considerable potential for knowledge discovery: collaborating data parties can mine data in an expanded feature space, allowing them to explore a larger range of scientific questions. However, data…

Machine Learning · Computer Science 2019-11-11 Erik-Jan van Kesteren , Chang Sun , Daniel L. Oberski , Michel Dumontier , Lianne Ippel

This paper presents a kernelized version of the t-SNE algorithm, capable of mapping high-dimensional data to a low-dimensional space while preserving the pairwise distances between the data points in a non-Euclidean metric. This can be…

Machine Learning · Computer Science 2023-11-22 Denis C. Ilie-Ablachim , Bogdan Dumitrescu , Cristian Rusu

Deep Neural Network (DNN) has been showing great potential in kinds of real-world applications such as fraud detection and distress prediction. Meanwhile, data isolation has become a serious problem currently, i.e., different parties cannot…

Machine Learning · Computer Science 2020-03-13 Longfei Zheng , Chaochao Chen , Yingting Liu , Bingzhe Wu , Xibin Wu , Li Wang , Lei Wang , Jun Zhou , Shuang Yang

In this paper we focus on the dynamic state estimation which harnesses a vast amount of sensing data harvested by multiple parties and recognize that in many applications, to improve collaborations between parties, the estimation procedure…

Systems and Control · Electrical Eng. & Systems 2021-01-05 Yuqing Ni , Junfeng Wu , Li Li , Ling Shi

Low-dimensional embedding techniques such as tSNE and UMAP allow visualizing high-dimensional data and therewith facilitate the discovery of interesting structure. Although they are widely used, they visualize data as is, rather than in…

Machine Learning · Computer Science 2021-03-03 Edith Heiter , Jonas Fischer , Jilles Vreeken

This paper shows that dimensionality reduction methods such as UMAP and t-SNE, can be approximately recast as MAP inference methods corresponding to a model introduced in Ravuri et al. (2023), that describes the graph Laplacian (an estimate…

Machine Learning · Statistics 2025-05-13 Aditya Ravuri , Neil D. Lawrence

This work is concerned with the continuum limit of a graph-based data visualization technique called the t-Distributed Stochastic Neighbor Embedding (t-SNE), which is widely used for visualizing data in a variety of applications, but is…

Machine Learning · Statistics 2026-04-15 Jeff Calder , Zhonggan Huang , Ryan Murray , Adam Pickarski

With the development of information technology, we have witnessed an age of data explosion which produces a large variety of data filled with redundant information. Because dimension reduction is an essential tool which embeds…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Huibing Wang , Jinjia Peng , Xianping Fu

Neighbour embeddings (NE) allow the representation of high dimensional datasets into lower dimensional spaces and are often used in data visualisation. In practice, accelerated approximations are employed to handle very large datasets.…

Machine Learning · Computer Science 2025-09-10 Pierre Lambert , Edouard Couplet , Michel Verleysen , John Aldo Lee

The t-distributed Stochastic Neighbor Embedding (t-SNE) is a powerful and popular method for visualizing high-dimensional data. It minimizes the Kullback-Leibler (KL) divergence between the original and embedded data distributions. In this…

Machine Learning · Computer Science 2018-11-06 Daniel Jiwoong Im , Nakul Verma , Kristin Branson

t-distributed stochastic neighbor embedding (t-SNE) is a well-established visualization method for complex high-dimensional data. However, the original t-SNE method is nonparametric, stochastic, and often cannot well prevserve the global…

Computer Vision and Pattern Recognition · Computer Science 2022-01-14 Zixia Zhou , Yuanyuan Wang , Boudewijn P. F. Lelieveldt , Qian Tao

The t-distributed Stochastic Neighbor Embedding (t-SNE) algorithm is a ubiquitously employed dimensionality reduction (DR) method. Its non-parametric nature and impressive efficacy motivated its parametric extension. It is however bounded…

Machine Learning · Computer Science 2020-10-06 Francesco Crecchi , Cyril de Bodt , Michel Verleysen , John A. Lee , Davide Bacciu

With increasing concerns over privacy in healthcare, especially for sensitive medical data, this research introduces a federated learning framework that combines local differential privacy and secure aggregation using Secure Multi-Party…

Machine Learning · Computer Science 2024-12-03 Mohamad Haj Fares , Ahmed Mohamed Saad Emam Saad
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