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Interpolation and smoothing using cubic and generalized splines are fundamental tools in data analysis and statistical modeling. Recently, fast computational algorithms were developed for natural $L$-splines of order four, which arise as…

Numerical Analysis · Mathematics 2026-05-21 O. Kounchev , H. Render , G. Simeonov , Ts. Tsachev

Secure Multiparty Computation (MPC) can improve the security and privacy of data owners while allowing analysts to perform high quality analytics. Secure aggregation is a secure distributed mechanism to support federated deep learning…

Cryptography and Security · Computer Science 2022-05-04 Timothy Stevens , Joseph Near , Christian Skalka

To respond to the need of efficient training and inference of deep neural networks, a plethora of domain-specific hardware architectures have been introduced, such as Google Tensor Processing Units and NVIDIA Tensor Cores. A common feature…

Data Structures and Algorithms · Computer Science 2020-07-10 Rezaul Chowdhury , Francesco Silvestri , Flavio Vella

Linear regression is a fundamental and primitive problem in supervised machine learning, with applications ranging from epidemiology to finance. In this work, we propose methods for speeding up distributed linear regression. We do so by…

Information Theory · Computer Science 2024-04-02 Neophytos Charalambides , Hessam Mahdavifar , Mert Pilanci , Alfred O. Hero

This work investigates the design of sparse secret sharing schemes that encode a sparse private matrix into sparse shares. This investigation is motivated by distributed computing, where the multiplication of sparse and private matrices is…

Cryptography and Security · Computer Science 2023-08-15 Rawad Bitar , Maximilian Egger , Antonia Wachter-Zeh , Marvin Xhemrishi

A delegation scheme allows a computationally weak client to use a server's resources to help it evaluate a complex circuit without leaking any information about the input (other than its length) to the server. In this paper, we consider…

Quantum Physics · Physics 2020-05-01 Jiayu Zhang

In order to perform machine learning among multiple parties while protecting the privacy of raw data, privacy-preserving machine learning based on secure multi-party computation (MPL for short) has been a hot spot in recent. The…

Cryptography and Security · Computer Science 2022-11-17 Lushan Song , Jiaxuan Wang , Zhexuan Wang , Xinyu Tu , Guopeng Lin , Wenqiang Ruan , Haoqi Wu , Weili Han

Linear computation coding is concerned with the compression of multidimensional linear functions, i.e. with reducing the computational effort of multiplying an arbitrary vector to an arbitrary, but known, constant matrix. This paper…

Information Theory · Computer Science 2025-07-02 Hans Rosenberger , Johanna S. Fröhlich , Ali Bereyhi , Ralf R. Müller

Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Austin R. Benson , Grey Ballard

In this paper, we propose a new secure machine learning inference platform assisted by a small dedicated security processor, which will be easier to protect and deploy compared to today's TEEs integrated into high-performance processors.…

Cryptography and Security · Computer Science 2024-10-30 Pengzhi Huang , Thang Hoang , Yueying Li , Elaine Shi , G. Edward Suh

A myriad of applications ranging from engineering and scientific simulations, image and signal processing as well as high-sensitive data retrieval demand high processing power reaching up to teraflops for their efficient execution. While a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Patrick Mukala

This work considers the problem of privately outsourcing the computation of a matrix product over a finite field $\mathbb{F}_q$ to $N$ helper servers. These servers are considered to be honest but curious, i.e., they behave according to the…

Information Theory · Computer Science 2022-01-12 Jie Li , Okko Makkonen , Camilla Hollanti , Oliver Gnilke

Modern computationally-heavy applications are often time-sensitive, demanding distributed strategies to accelerate them. On the other hand, distributed computing suffers from the bottleneck of slow workers in practice. Distributed coded…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-03 Homa Esfahanizadeh , Alejandro Cohen , Muriel Médard , Shlomo Shamai

Sparse-dense linear algebra is crucial in many domains, but challenging to handle efficiently on CPUs, GPUs, and accelerators alike; multiplications with sparse formats like CSR and CSF require indirect memory lookups. In this work, we…

Hardware Architecture · Computer Science 2020-12-15 Paul Scheffler , Florian Zaruba , Fabian Schuiki , Torsten Hoefler , Luca Benini

In several settings of practical interest, two parties seek to collaboratively perform inference on their private data using a public machine learning model. For instance, several hospitals might wish to share patient medical records for…

Cryptography and Security · Computer Science 2018-12-05 Siddharth Garg , Zahra Ghodsi , Carmit Hazay , Yuval Ishai , Antonio Marcedone , Muthuramakrishnan Venkitasubramaniam

Modern computationally-intensive applications often operate under time constraints, necessitating acceleration methods and distribution of computational workloads across multiple entities. However, the outcome is either achieved within the…

Information Theory · Computer Science 2024-02-13 Homa Esfahanizadeh , Alejandro Cohen , Shlomo Shamai , Muriel Medard

We survey classical and recent developments in numerical linear algebra, focusing on two issues: computational complexity, or arithmetic costs, and numerical stability, or performance under roundoff error. We present a brief account of the…

Computational Complexity · Computer Science 2010-06-22 Olga Holtz , Noam Shomron

Large matrix multiplications are central to large-scale machine learning applications. These operations are often carried out on a distributed computing platform with a master server and multiple workers in the cloud operating in parallel.…

Information Theory · Computer Science 2019-12-19 Malihe Aliasgari , Osvaldo Simeone , Joerg Kliewer

Catalano and Fiore propose a scheme to transform a linearly-homomorphic encryption into a homomorphic encryption scheme capable of evaluating quadratic computations on ciphertexts. Their scheme is based on the linearly-homomorphic…

Cryptography and Security · Computer Science 2021-04-27 Xin Chen , Liang Feng Zhang

Mixing arithmetic and boolean circuits to perform privacy-preserving machine learning has become increasingly popular. Towards this, we propose a framework for the case of four parties with at most one active corruption called Tetrad.…

Cryptography and Security · Computer Science 2022-02-17 Nishat Koti , Arpita Patra , Rahul Rachuri , Ajith Suresh
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