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To achieve the greatest possible speed, practitioners regularly implement randomized algorithms for low-rank approximation and least-squares regression with structured dimension reduction maps. Despite significant research effort, basic…

Data Structures and Algorithms · Computer Science 2025-09-01 Chris Camaño , Ethan N. Epperly , Raphael A. Meyer , Joel A. Tropp

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

We present a framework for experimenting with secure multi-party computation directly in TensorFlow. By doing so we benefit from several properties valuable to both researchers and practitioners, including tight integration with ordinary…

Cryptography and Security · Computer Science 2018-10-24 Morten Dahl , Jason Mancuso , Yann Dupis , Ben Decoste , Morgan Giraud , Ian Livingstone , Justin Patriquin , Gavin Uhma

Partitioning large matrices is an important problem in distributed linear algebra computing (used in ML among others). Briefly, our goal is to perform a sequence of matrix algebra operations in a distributed manner (whenever possible) on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-30 Avah Banerjee , Guoli Ding , Maxwell Reeser

In this paper, we present secure distributed matrix multiplication (SDMM) schemes over the complex numbers with good numerical stability and small mutual information leakage by utilizing polynomial interpolation with roots of unity.…

Information Theory · Computer Science 2025-08-26 Okko Makkonen , Camilla Hollanti

We introduce the linear-transformation model, a distributed model of differentially private data analysis. Clients have access to a trusted platform capable of applying a public matrix to their inputs. Such computations can be securely…

Cryptography and Security · Computer Science 2025-03-06 Jakob Burkhardt , Hannah Keller , Claudio Orlandi , Chris Schwiegelshohn

Organizations increasingly need to collaborate by performing a computation on their combined dataset, while keeping their data hidden from each other. Certain kinds of collaboration, such as collaborative data analytics and AI, require a…

Cryptography and Security · Computer Science 2025-11-04 Yicheng Liu , Rafail Ostrovsky , Scott Shenker , Sam Kumar

Federated Learning (FL) solutions with central Differential Privacy (DP) have seen large improvements in their utility in recent years arising from the matrix mechanism, while FL solutions with distributed (more private) DP have lagged…

Cryptography and Security · Computer Science 2025-06-18 Alexander Bienstock , Ujjwal Kumar , Antigoni Polychroniadou

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

Delegated quantum computation enables a client with limited quantum capabilities to outsource computations to a more powerful quantum server while preserving correctness and privacy. Verification is crucial in this setting to ensure that…

Quantum Physics · Physics 2026-03-11 Fabian Wiesner , Anna Pappa

Solving systems of polynomial equations, particularly those with finitely many solutions, is a crucial challenge across many scientific fields. Traditional methods like Gr\"obner and Border bases are fundamental but suffer from high…

Machine Learning · Computer Science 2025-05-30 Hiroshi Kera , Nico Pelleriti , Yuki Ishihara , Max Zimmer , Sebastian Pokutta

In this paper, we present a comprehensive architecture for confidential computing, which we show to be general purpose and quite efficient. It executes the application as is, without any added burden or discipline requirements from the…

Cryptography and Security · Computer Science 2021-09-22 Jessica Tseng , Gianfranco Bilardi , Kattamuri Ekanadham , Manoj Kumar , Jose Moreira , P. C. Pattnaik

We derive algorithms for efficient secure numerical and logical operations using a recently introduced scheme for secure multi-party computation~\cite{sch15} in the semi-honest model ensuring statistical or perfect security. To derive our…

Cryptography and Security · Computer Science 2017-07-21 Johannes Schneider , Bin Lu

Relaxed concurrent data structures have become increasingly popular, due to their scalability in graph processing and machine learning applications. Despite considerable interest, there exist families of natural, high performing randomized…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-28 Dan Alistarh , Trevor Brown , Justin Kopinsky , Jerry Z. Li , Giorgi Nadiradze

Straggler nodes are well-known bottlenecks of distributed matrix computations which induce reductions in computation/communication speeds. A common strategy for mitigating such stragglers is to incorporate Reed-Solomon based MDS (maximum…

Information Theory · Computer Science 2023-08-24 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

In numerical linear algebra, considerable effort has been devoted to obtaining faster algorithms for linear systems whose underlying matrices exhibit structural properties. A prominent success story is the method of generalized nested…

Data Structures and Algorithms · Computer Science 2023-10-26 Sally Dong , Gramoz Goranci , Lawrence Li , Sushant Sachdeva , Guanghao Ye

Since its introduction by Gauss, Matrix Algebra has facilitated understanding of scientific problems, hiding distracting details and finding more elegant and efficient ways of computational solving. Today's largest problems, which often…

Numerical Analysis · Computer Science 2010-02-01 Oleksii Morozov , Patrick Hunziker

In this paper, we propose two exact distributed algorithms to solve mixed integer linear programming (MILP) problems with multiple agents where data privacy is important for the agents. A key challenge is that, because of the non-convex…

Optimization and Control · Mathematics 2022-05-03 Mohammad Javad Feizollahi

Federated learning has emerged as a promising paradigm for collaborative model training while preserving data privacy. However, recent studies have shown that it is vulnerable to various privacy attacks, such as data reconstruction attacks.…

Cryptography and Security · Computer Science 2024-07-25 Xiaojin Zhang , Wei Chen

The inherent diversity of computation types within the deep neural network (DNN) models often requires a variety of specialized units in hardware processors, which limits computational efficiency, increasing both inference latency and power…

Machine Learning · Computer Science 2024-08-21 Ruiqi Sun , Siwei Ye , Jie Zhao , Xin He , Jianzhe Lin , Yiran Li , An Zou