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We consider the problem of maintaining sparsity in private distributed storage of confidential machine learning data. In many applications, e.g., face recognition, the data used in machine learning algorithms is represented by sparse…

Information Theory · Computer Science 2022-06-15 Marvin Xhemrishi , Maximilian Egger , Rawad Bitar

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

Machine Learning · Computer Science 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

We present a tensorization algorithm for constructing tensor train/matrix product state (MPS) representations of functions, drawing on sketching and cross interpolation ideas. The method only requires black-box access to the target function…

Numerical Analysis · Mathematics 2026-01-21 José Ramón Pareja Monturiol , Alejandro Pozas-Kerstjens , David Pérez-García

Synthetic data generation is a key technique in modern artificial intelligence, addressing data scarcity, privacy constraints, and the need for diverse datasets in training robust models. In this work, we propose a method for generating…

Data privacy is an important issue for organizations and enterprises to securely outsource data storage, sharing, and computation on clouds / fogs. However, data encryption is complicated in terms of the key management and distribution;…

Cryptography and Security · Computer Science 2021-01-13 Jenn-Bing Ong , Wee-Keong Ng , Ivan Tjuawinata , Chao Li , Jielin Yang , Sai None Myne , Huaxiong Wang , Kwok-Yan Lam , C. -C. Jay Kuo

Tensor-valued data, increasingly common in distributed big data applications like autonomous driving and smart healthcare, poses unique challenges for privacy protection due to its multidimensional structure and the risk of losing critical…

Cryptography and Security · Computer Science 2025-09-12 Yachao Yuan , Xiao Tang , Yu Huang , Yingwen Wu , Jin Wang

In this paper, we resolve many of the key algorithmic questions regarding robustness, memory efficiency, and differential privacy of tensor decomposition. We propose simple variants of the tensor power method which enjoy these strong…

Machine Learning · Statistics 2016-12-16 Yining Wang , Animashree Anandkumar

With the extensive applications of machine learning, the issue of private or sensitive data in the training examples becomes more and more serious: during the training process, personal information or habits may be disclosed to unexpected…

Quantum Physics · Physics 2017-08-01 Shenggang Ying , Mingsheng Ying , Yuan Feng

In this paper we show how tensor networks help in developing explainability of machine learning algorithms. Specifically, we develop an unsupervised clustering algorithm based on Matrix Product States (MPS) and apply it in the context of a…

Machine Learning · Computer Science 2025-04-28 Borja Aizpurua , Samuel Palmer , Roman Orus

Tensor network algorithms seek to minimize correlations to compress the classical data representing quantum states. Tensor network algorithms and similar tools---called tensor network methods---form the backbone of modern numerical methods…

Quantum Physics · Physics 2021-04-08 Andrey Kardashin , Alexey Uvarov , Jacob Biamonte

We propose a restricted class of tensor network state, built from number-state preserving tensors, for supervised learning tasks. This class of tensor network is argued to be a natural choice for classifiers as (i) they map classical data…

Quantum Physics · Physics 2019-05-17 Glen Evenbly

The problem we address is the following: how can a user employ a predictive model that is held by a third party, without compromising private information. For example, a hospital may wish to use a cloud service to predict the readmission…

Machine Learning · Computer Science 2014-12-25 Pengtao Xie , Misha Bilenko , Tom Finley , Ran Gilad-Bachrach , Kristin Lauter , Michael Naehrig

Machine learning in clinical settings must balance predictive accuracy, interpretability, and privacy. Models such as logistic regression (LR) offer transparency, while neural networks (NNs) provide greater predictive power; yet both remain…

Machine Learning · Computer Science 2026-02-09 José Ramón Pareja Monturiol , Juliette Sinnott , Roger G. Melko , Mohammad Kohandel

Machine learning (ML) methods have been widely used in genomic studies. However, genomic data are often held by different stakeholders (e.g. hospitals, universities, and healthcare companies) who consider the data as sensitive information,…

Cryptography and Security · Computer Science 2020-03-03 Cheng Hong , Zhicong Huang , Wen-jie Lu , Hunter Qu , Li Ma , Morten Dahl , Jason Mancuso

Privacy-preserving machine learning in data-sharing processes is an ever-critical task that enables collaborative training of Machine Learning (ML) models without the need to share the original data sources. It is especially relevant when…

The foreseen growing role of outsourced machine learning services is raising concerns about the privacy of user data. Several technical solutions are being proposed to address the issue. Hardware security modules in cloud data centres…

Cryptography and Security · Computer Science 2019-10-07 Marc Joye , Fabien A. P. Petitcolas

The use of trusted hardware has become a promising solution to enable privacy-preserving machine learning. In particular, users can upload their private data and models to a hardware-enforced trusted execution environment (e.g. an enclave…

Hardware Architecture · Computer Science 2020-11-13 Peichen Xie , Xuanle Ren , Guangyu Sun

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

Machine learning is a promising application of quantum computing, but challenges remain as near-term devices will have a limited number of physical qubits and high error rates. Motivated by the usefulness of tensor networks for machine…

Quantum Physics · Physics 2019-02-07 William Huggins , Piyush Patel , K. Birgitta Whaley , E. Miles Stoudenmire

With the advent of machine learning in applications of critical infrastructure such as healthcare and energy, privacy is a growing concern in the minds of stakeholders. It is pivotal to ensure that neither the model nor the data can be used…

Machine Learning · Computer Science 2021-12-01 Dominique Mercier , Adriano Lucieri , Mohsin Munir , Andreas Dengel , Sheraz Ahmed
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