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This paper considers the problem of outsourcing the multiplication of two private and sparse matrices to untrusted workers. Secret sharing schemes can be used to tolerate stragglers and guarantee information-theoretic privacy of the…

Information Theory · Computer Science 2023-06-28 Maximilian Egger , Marvin Xhemrishi , Antonia Wachter-Zeh , Rawad Bitar

Secure multiparty computations enable the distribution of so-called shares of sensitive data to multiple parties such that the multiple parties can effectively process the data while being unable to glean much information about the data (at…

Cryptography and Security · Computer Science 2024-04-09 Chuan Guo , Awni Hannun , Brian Knott , Laurens van der Maaten , Mark Tygert , Ruiyu Zhu

We propose a method for strict error control in sparse approximate matrix-matrix multiplication. The method combines an error bound and a parameter sweep to select an appropriate threshold value. The scheme for error control and the sparse…

Numerical Analysis · Mathematics 2021-06-02 Anton G. Artemov , Emanuel H. Rubensson

The multiplication of matrices is an important arithmetic operation in computational mathematics. In the context of hierarchical matrices, this operation can be realized by the multiplication of structured block-wise low-rank matrices,…

Numerical Analysis · Mathematics 2018-05-24 Jürgen Dölz , Helmut Harbrecht , Michael D. Multerer

Secure Multi-Party Computation (MPC) is an important enabling technology for data privacy in modern distributed applications. Currently, proof methods for low-level MPC protocols are primarily manual and thus tedious and error-prone, and…

Cryptography and Security · Computer Science 2024-07-24 Christian Skalka , Joseph P. Near

The Gram matrix of a matrix $A$ is defined as $AA^T$ (or $A^T\!A$). Computing the Gram matrix is an important operation in many applications, such as linear regression with the least squares method, where the explicit solution formula…

Information Theory · Computer Science 2023-03-10 Okko Makkonen , Camilla Hollanti

Secure multi-party computation provides a wide array of protocols for mutually distrustful parties be able to securely evaluate functions of private inputs. Within recent years, many such protocols have been proposed representing a plethora…

Cryptography and Security · Computer Science 2023-11-16 Kenneth Goss

We investigate the problem of privacy preserving distributed matrix multiplication in edge networks using multi-party computation (MPC). Coded multi-party computation (CMPC) is an emerging approach to reduce the required number of workers…

Information Theory · Computer Science 2022-03-16 Elahe Vedadi , Yasaman Keshtkarjahromi , Hulya Seferoglu

We study coded distributed matrix multiplication from an approximate recovery viewpoint. We consider a system of $P$ computation nodes where each node stores $1/m$ of each multiplicand via linear encoding. Our main result shows that the…

Information Theory · Computer Science 2021-05-06 Haewon Jeong , Ateet Devulapalli , Viveck R. Cadambe , Flavio Calmon

We propose an efficient framework for enabling secure multi-party numerical computations in a Peer-to-Peer network. This problem arises in a range of applications such as collaborative filtering, distributed computation of trust and…

Cryptography and Security · Computer Science 2010-05-04 Danny Bickson , Tzachy Reinman , Danny Dolev , Benny Pinkas

Plaintext-ciphertext matrix multiplication (PC-MM) is an indispensable tool in privacy-preserving computations such as secure machine learning and encrypted signal processing. While there are many established algorithms for…

Cryptography and Security · Computer Science 2025-04-22 Krishna Sai Tarun Ramapragada , Utsav Banerjee

In this study, we propose a simple method for fault-tolerant Strassen-like matrix multiplications. The proposed method is based on using two distinct Strassen-like algorithms instead of replicating a given one. We have realized that using…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-11 Osman B. Guney , Suayb S. Arslan

We study two problems of private matrix multiplication, over a distributed computing system consisting of a master node, and multiple servers that collectively store a family of public matrices using Maximum-Distance-Separable (MDS) codes.…

Information Theory · Computer Science 2023-03-01 Jinbao Zhu , Songze Li , Jie Li

Matrix completion has important applications in trajectory recovery and mobile social networks. However, sending raw data containing personal, sensitive information to cloud computing nodes may lead to privacy exposure issue.The…

Cryptography and Security · Computer Science 2024-05-10 Jiahao Guo , An-Bao Xu

Federated knowledge discovery and data mining are challenged to assess the trustworthiness of data originating from autonomous sources while protecting confidentiality and privacy. Truth-finding algorithms help corroborate data from…

Cryptography and Security · Computer Science 2023-05-25 Angelo Saadeh , Pierre Senellart , Stéphane Bressan

Secure multi-party computation (MPC) is a general cryptographic technique that allows distrusting parties to compute a function of their individual inputs, while only revealing the output of the function. It has found applications in areas…

Logic in Computer Science · Computer Science 2019-12-18 Helene Haagh , Aleksandr Karbyshev , Sabine Oechsner , Bas Spitters , Pierre-Yves Strub

In the Internet of Things and smart environments data, collected from distributed sensors, is typically stored and processed by a central middleware. This allows applications to query the data they need for providing further services.…

Cryptography and Security · Computer Science 2019-01-10 Marcel von Maltitz , Dominik Bitzer , Georg Carle

We propose an efficient framework for enabling secure multi-party numerical computations in a Peer-to-Peer network. This problem arises in a range of applications such as collaborative filtering, distributed computation of trust and…

Cryptography and Security · Computer Science 2008-11-15 Danny Bickson , Genia Bezman , Danny Dolev , Benny Pinkas

The emergence of cloud computing provides a new computing paradigm for users -- massive and complex computing tasks can be outsourced to cloud servers. However, the privacy issues also follow. Fully homomorphic encryption shows great…

Cryptography and Security · Computer Science 2021-04-01 Lizhi Xiong , Wenhao Zhou , Zhihua Xia , Qi Gu , Jian Weng

In this paper we propose a novel protocol that allows suppliers and grid operators to collect users' aggregate metering data in a secure and privacy-preserving manner. We use secure multiparty computation to ensure privacy protection. In…

Cryptography and Security · Computer Science 2019-03-15 Mustafa A. Mustafa , Sara Cleemput , Abelrahaman Aly , Aysajan Abidin