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In this paper, we present fast algorithms for the product of two multivariate polynomials in sparse representation. The bit complexity of our algorithms are studied in detail for various types of coefficients, and we derive new complexity…

Data Structures and Algorithms · Computer Science 2009-01-28 Joris van der Hoeven , Grégoire Lecerf

An efficient paradigm for multi-party computation (MPC) are protocols structured around access to shared pre-processed computational resources. In this model, certain forms of correlated randomness are distributed to the participants prior…

Quantum Physics · Physics 2025-05-16 Maxwell Gold , Eric Chitambar

Scaling up the sparse matrix-vector multiplication kernel on modern Graphics Processing Units (GPU) has been at the heart of numerous studies in both academia and industry. In this article we present a novel non-parametric, self-tunable,…

Numerical Analysis · Computer Science 2012-12-24 Xintian Yang , Srinivasan Parthasarathy , Ponnuswamy Sadayappan

We address the problem of efficiently verifying a commitment in a two-party computation. This addresses the scenario where a party P1 commits to a value $x$ to be used in a subsequent secure computation with another party P2 that wants to…

Cryptography and Security · Computer Science 2022-01-28 Nitin Agrawal , James Bell , Adrià Gascón , Matt J. Kusner

Matrices and more generally multidimensional arrays, form the backbone of computational studies. In this paper we demonstrate increases in computational efficiency by performing partial-tracing/tensor-contractions on sparse-arrays. It was…

Data Structures and Algorithms · Computer Science 2023-03-21 Julio Candanedo

The importance of being able to verify quantum computation delegated to remote servers increases with recent development of quantum technologies. In some of the proposed protocols for this task, a client delegates her quantum computation to…

Quantum Physics · Physics 2020-06-08 Alex B. Grilo

Many applications benefit from computations over the data of multiple users while preserving confidentiality. We present a solution where multiple mutually distrusting users' data can be aggregated with an acceptable overhead, while…

Cryptography and Security · Computer Science 2024-10-15 Marcus Birgersson , Cyrille Artho , Musard Balliu

In this work, we present novel protocols over rings for semi-honest secure three-party computation (3PC) and malicious four-party computation (4PC) with one corruption. While most existing works focus on improving total communication…

Cryptography and Security · Computer Science 2025-05-22 Christopher Harth-Kitzerow , Ajith Suresh , Yongqin Wang , Hossein Yalame , Georg Carle , Murali Annavaram

Searching accounts for one of the most frequently performed computations over the Internet as well as one of the most important applications of outsourced computing, producing results that critically affect users' decision-making behaviors.…

We present an online voting architecture based on partitioning the election in small clusters of voters and using a new Multi-party Computation algorithm for obtaining voting results from the clusters. This new algorithm has some practical…

Cryptography and Security · Computer Science 2016-03-15 Juanjo Bermúdez

We consider the problem of sparse matrix multiplication by the column row method in a distributed setting where the matrix product is not necessarily sparse. We present a surprisingly simple method for "consistent" parallel processing of…

Data Structures and Algorithms · Computer Science 2012-11-20 Andrea Campagna , Konstantin Kutzkov , Rasmus Pagh

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

Smart meter data aggregation protocols have been developed to address rising privacy threats against customers' consumption data. However, these protocols do not work satisfactorily in the presence of failures of smart meters or network…

Cryptography and Security · Computer Science 2024-10-28 Günther Eibl , Sanaz Taheri-Boshrooyeh , Alptekin Küpçü

In Compressed Sensing, a real-valued sparse vector has to be estimated from an underdetermined system of linear equations. In many applications, however, the elements of the sparse vector are drawn from a finite set. For the estimation of…

Information Theory · Computer Science 2016-08-24 Susanne Sparrer , Robert F. H. Fischer

Cryptographic primitives have been used for various non-cryptographic objectives, such as eliminating or reducing randomness and interaction. We show how to use cryptography to improve the time complexity of solving computational problems.…

Cryptography and Security · Computer Science 2025-04-23 Vinod Vaikuntanathan , Or Zamir

Secure multi-party computing, also called "secure function evaluation", has been extensively studied in classical cryptography. We consider the extension of this task to computation with quantum inputs and circuits. Our protocols are…

Quantum Physics · Physics 2007-05-23 Claude Crepeau , Daniel Gottesman , Adam Smith

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

Edge computing is emerging as a new paradigm to allow processing data near the edge of the network, where the data is typically generated and collected. This enables critical computations at the edge in applications such as Internet of…

Information Theory · Computer Science 2019-09-30 Rawad Bitar , Yuxuan Xing , Yasaman Keshtkarjahromi , Venkat Dasari , Salim El Rouayheb , Hulya Seferoglu

Linear-scaling electronic-structure techniques, also called O(N) techniques, rely heavily on the multiplication of sparse matrices, where the sparsity arises from spatial cut-offs. In order to treat very large systems, the calculations must…

Materials Science · Physics 2009-10-31 D. R. Bowler , T. Miyazaki , M. J. Gillan

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