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This Ph.D. thesis contains original contributions to several areas within the disciplines of disordered systems, numerical linear algebra, and scientific computing: (1) Theoretical and numerical study of the errors caused by using certain…

介观与纳米尺度物理 · 物理学 2007-05-23 Vincent E. Sacksteder

Computation offloading (often to external computing resources over a network) has become a necessity for modern applications. At the same time, the proliferation of machine learning techniques has empowered malicious actors to use such…

密码学与安全 · 计算机科学 2023-05-16 Md Washik Al Azad , Shifat Sarwar , Sifat Ut Taki , Spyridon Mastorakis

Linear real-valued computations over distributed datasets are common in many applications, most notably as part of machine learning inference. In particular, linear computations that are quantized, i.e., where the coefficients are…

信息论 · 计算机科学 2023-11-27 Vinayak Ramkumar , Netanel Raviv , Itzhak Tamo

Preserving the privacy of individual databases when carrying out statistical calculations has a long history in statistics and had been the focus of much recent attention in machine learning In this paper, we present a protocol for…

密码学与安全 · 计算机科学 2011-12-01 Rob Hall , Yuval Nardi , Stephen Fienberg

Recommender systems often rely on graph-based filters, such as normalized item-item adjacency matrices and low-pass filters. While effective, the centralized computation of these components raises concerns about privacy, security, and the…

信息检索 · 计算机科学 2025-01-29 Julien Nicolas , César Sabater , Mohamed Maouche , Sonia Ben Mokhtar , Mark Coates

Work on approximate linear algebra has led to efficient distributed and streaming algorithms for problems such as approximate matrix multiplication, low rank approximation, and regression, primarily for the Euclidean norm $\ell_2$. We study…

数据结构与算法 · 计算机科学 2018-07-10 Graham Cormode , Charlie Dickens , David P. Woodruff

Deep Learning (DL) algorithms have become the {\em de facto} choice for data analysis. Several DL implementations -- primarily limited to a single compute node -- such as Caffe, TensorFlow, Theano and Torch have become readily available.…

分布式、并行与集群计算 · 计算机科学 2017-04-18 Abhinav Vishnu , Joseph Manzano , Charles Siegel , Jeff Daily

In this paper, we tackle the problem of automatically generating algorithms for linear algebra operations by taking advantage of problem-specific knowledge. In most situations, users possess much more information about the problem at hand…

数学软件 · 计算机科学 2012-11-27 Diego Fabregat-Traver , Paolo Bientinesi

Building on the previous work of Lee et al. and Ferdinand et al. on coded computation, we propose a sequential approximation framework for solving optimization problems in a distributed manner. In a distributed computation system, latency…

信息论 · 计算机科学 2017-10-26 Jingge Zhu , Ye Pu , Vipul Gupta , Claire Tomlin , Kannan Ramchandran

Inference optimization is a vital technique for deploying LLMs at scale. Compilation is the most widely adopted optimization technique for LLMs. While it assumes semantic equivalence between the original and compiled graphs, we first…

密码学与安全 · 计算机科学 2026-05-21 Yifei Wang , Tianlin Li , Xiaohan Zhang , Yida Yang , Xiaoyu Zhang , Li Pan

We consider the problem of secure distributed matrix multiplication (SDMM). Coded computation has been shown to be an effective solution in distributed matrix multiplication, both providing privacy against workers and boosting the…

信息论 · 计算机科学 2022-02-08 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

While deep learning excels in natural image and language processing, its application to high-dimensional data faces computational challenges due to the dimensionality curse. Current large-scale data tools focus on business-oriented…

机器学习 · 计算机科学 2025-07-01 Chen Zhang

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…

密码学与安全 · 计算机科学 2021-04-01 Lizhi Xiong , Wenhao Zhou , Zhihua Xia , Qi Gu , Jian Weng

In this paper, we consider a secure multi-party computation problem (MPC), where the goal is to offload the computation of an arbitrary polynomial function of some massive private matrices (inputs) to a cluster of workers. The workers are…

信息论 · 计算机科学 2020-09-16 Hanzaleh Akbari Nodehi , Mohammad Ali Maddah-Ali

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…

硬件体系结构 · 计算机科学 2020-11-13 Peichen Xie , Xuanle Ren , Guangyu Sun

We present a new paradigm for speeding up randomized computations of several frequently used functions in machine learning. In particular, our paradigm can be applied for improving computations of kernels based on random embeddings. Above…

机器学习 · 统计学 2016-04-26 Krzysztof Choromanski , Francois Fagan

Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not sparse. Kernel matrices, which arise from discretizing a kernel…

量子物理 · 物理学 2022-12-14 Quynh T. Nguyen , Bobak T. Kiani , Seth Lloyd

Safeguarding privacy in machine learning is highly desirable, especially in collaborative studies across many organizations. Privacy-preserving distributed machine learning (based on cryptography) is popular to solve the problem. However,…

机器学习 · 计算机科学 2016-11-07 Wei Xie , Yang Wang , Steven M. Boker , Donald E. Brown

We investigate the effect of omnipresent cloud storage on distributed computing. We specify a network model with links of prescribed bandwidth that connect standard processing nodes, and, in addition, passive storage nodes. Each passive…

分布式、并行与集群计算 · 计算机科学 2021-09-28 Yehuda Afek , Gal Giladi , Boaz Patt-Shamir

The real-world use cases of Machine Learning (ML) have exploded over the past few years. However, the current computing infrastructure is insufficient to support all real-world applications and scenarios. Apart from high efficiency…

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