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In a distributed storage system, code symbols are dispersed across space in nodes or storage units as opposed to time. In settings such as that of a large data center, an important consideration is the efficient repair of a failed node.…

Information Theory · Computer Science 2018-06-13 S. B. Balaji , M. Nikhil Krishnan , Myna Vajha , Vinayak Ramkumar , Birenjith Sasidharan , P. Vijay Kumar

Distributed storage systems provide reliable access to data through redundancy spread over individually unreliable nodes. Application scenarios include data centers, peer-to-peer storage systems, and storage in wireless networks. Storing…

Networking and Internet Architecture · Computer Science 2008-03-06 Alexandros G. Dimakis , P. Brighten Godfrey , Yunnan Wu , Martin J. Wainwright , Kannan Ramchandran

We study a heavily overloaded single-server queue with abandonment and derive bounds on stationary tail probabilities of the queue length. As the abandonment rate $\gamma \downarrow 0$, the centered-scaled queue length $\tilde{q}$ is known…

Probability · Mathematics 2026-03-20 Zedong Wang , Siva Theja Maguluri

In order to scale economically, data centers are increasingly evolving their data storage methods from the use of simple data replication to the use of more powerful erasure codes, which provide the same level of reliability as replication…

Information Theory · Computer Science 2013-11-12 Nihar B. Shah , Kangwook Lee , Kannan Ramchandran

Motivated by emerging applications to the edge computing paradigm, we introduce a two-layer erasure-coded fault-tolerant distributed storage system offering atomic access for read and write operations. In edge computing, clients interact…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-01 Kishori M. Konwar , N. Prakash , Nancy Lynch , Muriel Medard

Real-world data is laden with outlying values. The challenge for machine learning is that the learner typically has no prior knowledge of whether the feedback it receives (losses, gradients, etc.) will be heavy-tailed or not. In this work,…

Machine Learning · Statistics 2020-12-16 Matthew J. Holland

Erasure coding has been recognized as a powerful method to mitigate delays due to slow or straggling nodes in distributed systems. This work shows that erasure coding of data objects can flexibly handle skews in the request rates. Coding…

Information Theory · Computer Science 2021-06-29 Mehmet Aktas , Gauri Joshi , Swanand Kadhe , Fatemeh Kazemi , Emina Soljanin

Adversarial robustness is a critical challenge in deploying deep neural networks for real-world applications. While adversarial training is a widely recognized defense strategy, most existing studies focus on balanced datasets, overlooking…

Machine Learning · Computer Science 2025-03-24 Wang YuHang , Junkang Guo , Aolei Liu , Kaihao Wang , Zaitong Wu , Zhenyu Liu , Wenfei Yin , Jian Liu

Recognition problems in long-tailed data, in which the sample size per class is heavily skewed, have gained importance because the distribution of the sample size per class in a dataset is generally exponential unless the sample size is…

Machine Learning · Computer Science 2024-04-30 Naoya Hasegawa , Issei Sato

It is not uncommon that real-world data are distributed with a long tail. For such data, the learning of deep neural networks becomes challenging because it is hard to classify tail classes correctly. In the literature, several existing…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Mengke Li , Yiu-ming Cheung , Yang Lu , Zhikai Hu , Weichao Lan , Hui Huang

Heavy-tailed stochastic gradient noise, commonly observed in transformer models, can destabilize the optimization process. Recent works mainly focus on developing and understanding approaches to address heavy-tailed noise in the centralized…

Machine Learning · Computer Science 2026-02-23 Junfei Sun , Dixi Yao , Xuchen Gong , Tahseen Rabbani , Manzil Zaheer , Tian Li

Real-world data usually present long-tailed distributions. Training on imbalanced data tends to render neural networks perform well on head classes while much worse on tail classes. The severe sparseness of training instances for the tail…

Machine Learning · Computer Science 2021-11-10 Chaozheng Wang , Shuzheng Gao , Cuiyun Gao , Pengyun Wang , Wenjie Pei , Lujia Pan , Zenglin Xu

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

This initial version of this document was written back in 2014 for the sole purpose of providing fundamentals of reliability theory as well as to identify the theoretical types of machinery for the prediction of durability/availability of…

Performance · Computer Science 2023-01-24 Suayb S. Arslan

We study a distributed machine learning problem carried out by an edge server and multiple agents in a wireless network. The objective is to minimize a global function that is a sum of the agents' local loss functions. And the optimization…

Information Theory · Computer Science 2021-12-03 Howard H. Yang , Zihan Chen , Tony Q. S. Quek , H. Vincent Poor

For many optimization algorithms the time-to-solution depends not only on the problem size but also on the specific problem instance and may vary by many orders of magnitude. It is then necessary to investigate the full distribution and…

Quantum Physics · Physics 2015-12-08 Damian S. Steiger , Troels F. Rønnow , Matthias Troyer

Content delivery networks store information distributed across multiple servers, so as to balance the load and avoid unrecoverable losses in case of node or disk failures. Coded caching has been shown to be a useful technique which can…

Information Theory · Computer Science 2016-11-22 Tianqiong Luo , Vaneet Aggarwal , Borja Peleato

Latency Based Tiling provides a systems based approach to deriving approximate tiling solution that maximizes locality while maintaining a fast compile time. The method uses triangular loops to characterize miss ratio scaling of a machine…

Programming Languages · Computer Science 2025-10-21 Jack Cashman

Distributed optimization has become the default training paradigm in modern machine learning due to the growing scale of models and datasets. To mitigate communication overhead, local updates are often applied before global aggregation,…

Machine Learning · Computer Science 2025-08-15 Su Hyeong Lee , Manzil Zaheer , Tian Li

The amount of digital data is rapidly growing. There is an increasing use of a wide range of computer systems, from mobile devices to large-scale data centers, and important for reliable operation of all computer systems is mitigating the…

Information Theory · Computer Science 2018-03-06 Katina Kralevska