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We consider the distributed computing problem of multiplying a set of vectors with a matrix. For this scenario, Li et al. recently presented a unified coding framework and showed a fundamental tradeoff between computational delay and…

信息论 · 计算机科学 2017-09-19 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

We propose a communication-efficient optimally structured gradient coding scheme to jointly address straggler resilience and communication efficiency in heterogeneous distributed learning. By establishing a unified framework that…

系统与控制 · 电气工程与系统科学 2026-05-18 Heekang Song , Wan Choi

Coded polynomial aggregation (CPA) enables the master to directly recover a weighted aggregation of polynomial evaluations without individually decoding each term, thereby reducing the number of required worker responses. In this paper, we…

信息论 · 计算机科学 2026-02-04 Xi Zhong , Jörg Kliewer , Mingyue Ji

Within distributed learning, workers typically compute gradients on their assigned dataset chunks and send them to the parameter server (PS), which aggregates them to compute either an exact or approximate version of $\nabla L$ (gradient of…

信息论 · 计算机科学 2024-11-19 Aditya Ramamoorthy , Ruoyu Meng , Vrinda S. Girimaji

Uniform Manifold Approximation and Projection (UMAP) is a widely used manifold learning technique for dimensionality reduction. This paper studies UMAP, supervised UMAP, and several competing dimensionality reduction methods, including…

机器学习 · 计算机科学 2026-05-04 Guanzhe Zhang , Shanshan Ding , Zhezhen Jin

Over the last few years deep artificial neural networks (DNNs) have very successfully been used in numerical simulations for a wide variety of computational problems including computer vision, image classification, speech recognition,…

数值分析 · 数学 2019-08-13 Philipp Grohs , Fabian Hornung , Arnulf Jentzen , Philipp Zimmermann

Deep Neural Network (DNN) has achieve great success in solving a wide range of machine learning problems. Recently, they have been deployed in datacenters (potentially for business-critical or industrial applications) and safety-critical…

硬件体系结构 · 计算机科学 2025-08-19 Mohsen Raji , Mohammad Zaree , Kimia Soroush

We study coded distributed matrix multiplication from an approximate recovery viewpoint. We consider a system of $P$ computation nodes where each node stores $1/m$ of each multiplicand via linear encoding. Our main result shows that the…

信息论 · 计算机科学 2021-05-06 Haewon Jeong , Ateet Devulapalli , Viveck R. Cadambe , Flavio Calmon

Coded computation techniques provide robustness against straggling servers in distributed computing, with the following limitations: First, they increase decoding complexity. Second, they ignore computations carried out by straggling…

机器学习 · 计算机科学 2018-11-29 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

To ensure the system stability of the $\bf{\mathcal{H}_{2}}$-guaranteed cost optimal decentralized control problem (ODC), an approximate semidefinite programming (SDP) problem is formulated based on the sparsity of the gain matrix of the…

最优化与控制 · 数学 2024-02-05 Bo Yang , Xinyuan Zhao , Xudong Li , Defeng Sun

The convergence of SGD based distributed training algorithms is tied to the data distribution across workers. Standard partitioning techniques try to achieve equal-sized partitions with per-class population distribution in proportion to the…

机器学习 · 计算机科学 2023-09-20 Haoze He , Parijat Dube

In this work we explore possibilities for coding and decoding tailor-made for mean squared error evaluation of error in contexts such as image transmission. To do so, we introduce a loss function that expresses the overall performance of a…

信息论 · 计算机科学 2014-11-06 Marcelo Firer , Luciano Panek , Jerry Anderson Pinheiro

Gradient descent (GD) methods are commonly employed in machine learning problems to optimize the parameters of the model in an iterative fashion. For problems with massive datasets, computations are distributed to many parallel computing…

信息论 · 计算机科学 2019-03-06 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

This paper studies decentralized bilevel optimization, in which multiple agents collaborate to solve problems involving nested optimization structures with neighborhood communications. Most existing literature primarily utilizes gradient…

最优化与控制 · 数学 2024-12-18 Shuchen Zhu , Boao Kong , Songtao Lu , Xinmeng Huang , Kun Yuan

Sublinear time complexity is required by the massively parallel computation (MPC) model. Breaking dynamic programs into a set of sparse dynamic programs that can be divided, solved, and merged in sublinear time. The rectangle escape problem…

计算几何 · 计算机科学 2023-09-04 Sepideh Aghamolaei , Mohammad Ghodsi

Computationally efficient matrix multiplication is a fundamental requirement in various fields, including and particularly in data analytics. To do so, the computation task of a large-scale matrix multiplication is typically outsourced to…

信息论 · 计算机科学 2018-11-01 Jaber Kakar , Seyedhamed Ebadifar , Aydin Sezgin

With the growing model size, deep neural networks (DNN) are increasingly trained over massive GPU accelerators, which demands a proper parallelization plan that transforms a DNN model into fine-grained tasks and then schedules them to GPUs…

分布式、并行与集群计算 · 计算机科学 2023-01-24 Zhiqi Lin , Youshan Miao , Guodong Liu , Xiaoxiang Shi , Quanlu Zhang , Fan Yang , Saeed Maleki , Yi Zhu , Xu Cao , Cheng Li , Mao Yang , Lintao Zhang , Lidong Zhou

Recent advances in Deep Learning show the existence of image-agnostic quasi-imperceptible perturbations that when applied to `any' image can fool a state-of-the-art network classifier to change its prediction about the image label. These…

计算机视觉与模式识别 · 计算机科学 2018-03-01 Naveed Akhtar , Jian Liu , Ajmal Mian

While distributed training significantly speeds up the training process of the deep neural network (DNN), the utilization of the cluster is relatively low due to the time-consuming data synchronizing between workers. To alleviate this…

机器学习 · 计算机科学 2020-12-01 Yuhao Zhou , Qing Ye , Hailun Zhang , Jiancheng Lv

The emerging large-scale and data-hungry algorithms require the computations to be delegated from a central server to several worker nodes. One major challenge in the distributed computations is to tackle delays and failures caused by the…

信息论 · 计算机科学 2021-03-03 Alejandro Cohen , Guillaume Thiran , Homa Esfahanizadeh , Muriel Médard