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Stochastic variance reduced methods have gained a lot of interest recently for empirical risk minimization due to its appealing run time complexity. When the data size is large and disjointly stored on different machines, it becomes…

Machine Learning · Computer Science 2020-08-26 Shicong Cen , Huishuai Zhang , Yuejie Chi , Wei Chen , Tie-Yan Liu

One of the major challenges in using distributed learning to train complicated models with large data sets is to deal with stragglers effect. As a solution, coded computation has been recently proposed to efficiently add redundancy to the…

Information Theory · Computer Science 2021-11-02 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

We consider a distributed computing framework where the distributed nodes have different communication capabilities, motivated by the heterogeneous networks in data centers and mobile edge computing systems. Following the structure of…

Information Theory · Computer Science 2019-08-20 Nishant Shakya , Fan Li , Jinyuan Chen

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

Distributed stochastic gradient descent (SGD) has attracted considerable recent attention due to its potential for scaling computational resources, reducing training time, and helping protect user privacy in machine learning. However, the…

Machine Learning · Computer Science 2025-02-27 Siyuan Yu , Wei Chen , H. Vincent Poor

This paper addresses spatial programming of sparse matrix computations for productive performance. The challenge is how to express an irregular computation and its optimizations in a regular way. A sparse matrix has (non-zero) values and a…

Mathematical Software · Computer Science 2018-10-18 Hongbo Rong

The matrices used in many computational settings are naturally sparse, holding a small percentage of nonzero elements. Storing such matrices in specialized sparse formats enables algorithms that avoid wasting computation on zeros,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Pratyush Das , Amirhossein Basareh , Adhitha Dias , Artem Pelenitsyn , Kirshanthan Sundararajah , Milind Kulkarni , Ben Delaware

In a large-scale distributed machine learning system, coded computing has attracted wide-spread attention since it can effectively alleviate the impact of stragglers. However, several emerging problems greatly limit the performance of coded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-10 Houming Qiu , Kun Zhu , Nguyen Cong Luong , Dusit Niyato

Distributed adaptive signal processing has attracted much attention in the recent decade owing to its effectiveness in many decentralized real-time applications in networked systems. Because many natural signals are highly sparse with most…

Optimization and Control · Mathematics 2017-11-22 Xuanyu Cao , K. J. Ray Liu

The rise of the Internet of Things and edge computing has shifted computing resources closer to end-users, benefiting numerous delay-sensitive, computation-intensive applications. To speed up computation, distributed computing is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Ke Ma , Junfei Xie

Polynomial based methods have recently been used in several works for mitigating the effect of stragglers (slow or failed nodes) in distributed matrix computations. For a system with $n$ worker nodes where $s$ can be stragglers, these…

Information Theory · Computer Science 2021-06-10 Aditya Ramamoorthy , Li Tang

Convolutional neural networks (CNNs) are widely applied in real-time applications on resource-constrained devices. To accelerate CNN inference, prior works proposed to distribute the inference workload across multiple devices. However, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Xing Liu , Chao Huang , Ming Tang

In this paper, we consider the iterative solution of linear algebraic equations under the condition that matrix-vector products with the coefficient matrix are computed only partially. At the same time, non-computed entries are set to…

Numerical Analysis · Mathematics 2024-10-15 Vassilis Kalantzis , Yuanzhe Xi , Lior Horesh , Yousef Saad

Gradient descent optimizations and backpropagation are the most common methods for training neural networks, but they are computationally expensive for real time applications, need high memory resources, and are difficult to converge for…

Machine Learning · Computer Science 2022-07-05 Seyyed Mostafa Mousavi Janbeh Sarayi , Mansour Nikkhah Bahrami

We present an efficient numerical method for computing Hamiltonian matrix elements between non-orthogonal Slater determinants, focusing on the most time-consuming component of the calculation that involves a sparse array. In the usual case…

Nuclear Theory · Physics 2012-10-22 Yutaka Utsuno , Noritaka Shimizu , Takaharu Otsuka , Takashi Abe

In this paper, we propose a method of distributed stochastic gradient descent (SGD), with low communication load and computational complexity, and still fast convergence. To reduce the communication load, at each iteration of the algorithm,…

Machine Learning · Computer Science 2020-03-30 Naeimeh Omidvar , Mohammad Ali Maddah-Ali , Hamed Mahdavi

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in waiting for the slowest learners (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness that can…

Machine Learning · Statistics 2018-05-11 Sanghamitra Dutta , Gauri Joshi , Soumyadip Ghosh , Parijat Dube , Priya Nagpurkar

Let $X_1, ..., X_m$ be a set of $m$ statistically dependent sources over the common alphabet $\mathbb{F}_q$, that are linearly independent when considered as functions over the sample space. We consider a distributed function computation…

Information Theory · Computer Science 2016-11-17 V. Lalitha , N. Prakash , K. Vinodh , P. Vijay Kumar , S. Sandeep Pradhan

Artificial intelligence workloads, especially transformer models, exhibit emergent sparsity in which computations perform selective sparse access to dense data. The workloads are inefficient on hardware designed for dense computations and…

Data Structures and Algorithms · Computer Science 2024-02-23 Brian Wheatman , Meghana Madhyastha , Randal Burns

Accelerators for sparse matrix multiplication are important components in emerging systems. In this paper, we study the main challenges of accelerating Sparse Matrix Multiplication (SpMM). For the situations that data is not stored in the…

Hardware Architecture · Computer Science 2019-06-04 Pareesa Ameneh Golnari , Sharad Malik