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This short communication considers an infinite-server system with overdispersed input. The objective is to identify the exact tail asymptotics of the number of customers present at a given point in time under a specific scaling of the model…

Probability · Mathematics 2019-09-24 Mariska Heemskerk , Michel Mandjes

Scalable web search systems typically employ multi-stage retrieval architectures, where an initial stage generates a set of candidate documents that are then pruned and re-ranked. Since subsequent stages typically exploit a multitude of…

Information Retrieval · Computer Science 2017-12-12 Joel Mackenzie , J. Shane Culpepper , Roi Blanco , Matt Crane , Charles L. A. Clarke , Jimmy Lin

We consider two-stage tandem queueing systems with one dedicated server in each station and a flexible server that can serve both stations. We assume exponential service times, linear holding costs accrued by jobs present in the system, and…

Systems and Control · Computer Science 2019-04-12 Ioannis Papachristos , Dimitrios G. Pandelis

The so-called partition function is a sample moment statistic based on blocks of data and it is often used in the context of multifractal processes. It will be shown that its behaviour is strongly influenced by the tail of the distribution…

Methodology · Statistics 2013-10-02 Danijel Grahovac , Mofei Jia , Nikolai N. Leonenko , Emanuele Taufer

Modern storage systems, often deployed to support multiple tenants in the cloud, must provide performance isolation. Unfortunately, traditional approaches such as fair sharing do not provide performance isolation for storage systems,…

Coding theoretic techniques have been proposed for synchronous Gradient Descent (GD) on multiple servers to mitigate stragglers. These techniques provide the flexibility that the job is complete when any $k$ out of $n$ servers finish their…

Information Theory · Computer Science 2020-05-20 Shanuja Sasi , V. Lalitha , Vaneet Aggarwal , B. Sundar Rajan

Despite the successes of probabilistic models based on passing noise through neural networks, recent work has identified that such methods often fail to capture tail behavior accurately, unless the tails of the base distribution are…

Machine Learning · Statistics 2023-06-16 Feynman Liang , Liam Hodgkinson , Michael W. Mahoney

We study scalable alternatives to robust gradient descent (RGD) techniques that can be used when the losses and/or gradients can be heavy-tailed, though this will be unknown to the learner. The core technique is simple: instead of trying to…

Machine Learning · Statistics 2020-12-15 Matthew J. Holland

Semantic segmentation usually suffers from a long-tail data distribution. Due to the imbalanced number of samples across categories, the features of those tail classes may get squeezed into a narrow area in the feature space. Towards a…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Yuchao Wang , Jingjing Fei , Haochen Wang , Wei Li , Tianpeng Bao , Liwei Wu , Rui Zhao , Yujun Shen

We consider the problem of scheduling to minimize mean response time in M/G/1 queues where only estimated job sizes (processing times) are known to the scheduler, where a job of true size $s$ has estimated size in the interval $[\beta s,…

Performance · Computer Science 2022-03-25 Ziv Scully , Isaac Grosof , Michael Mitzenmacher

One of the key performance measures in queueing systems is the exponential decay rate of the steady-state tail probabilities of the queue lengths. It is known that if a corresponding fluid model is stable and the stochastic primitives have…

Probability · Mathematics 2007-05-23 David Gamarnik , Sean Meyn

Long-tailed data is a special type of multi-class imbalanced data with a very large amount of minority/tail classes that have a very significant combined influence. Long-tailed learning aims to build high-performance models on datasets with…

Machine Learning · Computer Science 2024-08-02 Chongsheng Zhang , George Almpanidis , Gaojuan Fan , Binquan Deng , Yanbo Zhang , Ji Liu , Aouaidjia Kamel , Paolo Soda , João Gama

By analyzing energy-efficient management of data centers, this paper proposes and develops a class of interesting {\it Group-Server Queues}, and establishes two representative group-server queues through loss networks and impatient…

Performance · Computer Science 2017-07-24 Quan-Lin Li , Jing-Yu Ma , Mingzhou Xie , Li Xia

Multi-server jobs are imperative in modern cloud computing systems. A noteworthy feature of multi-server jobs is that, they usually request multiple computing devices simultaneously for their execution. How to schedule multi-server jobs…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-18 Hailiang Zhao , Shuiguang Deng , Feiyi Chen , Jianwei Yin , Schahram Dustdar , Albert Y. Zomaya

In a large-scale computing cluster, the job completions can be substantially delayed due to two sources of variability, namely, variability in the job size and that in the machine service capacity. To tackle this issue, existing works have…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-07 Huanle Xu , Gustavo de Veciana , Wing Cheong Lau , Kunxiao Zhou

Modern computing systems process jobs with resource requirements such as CPU and memory, which are described by multiresource jobs (MRJ) queueing models. In practice, job resource requirements are spread out over so many values, that it is…

Performance · Computer Science 2026-05-22 Heyuan Yao , Willow Kowalik , Izzy Grosof

One typical use case of large-scale distributed computing in data centers is to decompose a computation job into many independent tasks and run them in parallel on different machines, sometimes known as the "embarrassingly parallel"…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-07 Da Wang , Gauri Joshi , Gregory Wornell

Benchmark datasets for visual recognition assume that data is uniformly distributed, while real-world datasets obey long-tailed distribution. Current approaches handle the long-tailed problem to transform the long-tailed dataset to uniform…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Renhui Zhang , Tiancheng Lin , Rui Zhang , Yi Xu

We investigate the long-run behavior of single-server queues with Hawkes arrivals and general service distributions and related optimization problems. In detail, utilizing novel coupling techniques, we establish finite moment bounds for the…

Probability · Mathematics 2023-11-14 Xinyun Chen , Guiyu Hong

In current large-scale distributed key-value stores, a single end-user request may lead to key-value access across tens or hundreds of servers. The tail latency of these key-value accesses is crucial to the user experience and greatly…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-28 Wanchun Jiang , Liyuan Fang , Haiming Xie , Xiangqian Zhou , Jianxin Wang
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