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The basic motivation behind this work is to raise the question that whether post selection can be considered a valid physical transformation (on probability space) or not. We study the consequences of both answers set in a device (theory)…

Quantum Physics · Physics 2015-04-20 Anubhav Chaturvedi , Tushant Jha , Indranil Chakrabarty

As a specific proportional hazard rates model, sequential order statistics can be used to describe the lifetimes of load-sharing systems. Inference for these systems needs to account for small sample sizes, which are prevalent in…

Methodology · Statistics 2019-09-17 Fabian Mies , Stefan Bedbur

In large-scale distributed systems, balancing the load in an efficient way is crucial in order to achieve low latency. Recently, some load balancing policies have been suggested which are able to achieve a bounded maximum queue length in…

Performance · Computer Science 2022-01-12 Tim Hellemans , Grzegorz Kielanski , Benny Van Houdt

This paper considers the steady-state performance of load balancing algorithms in a many-server system with distributed queues. The system has $N$ servers, and each server maintains a local queue with buffer size $b-1,$ i.e. a server can…

Probability · Mathematics 2019-12-30 Xin Liu , Lei Ying

This paper introduces the \emph{serial-parallel decision problem}. Consider an online scheduler that receives a series of tasks, where each task has both a parallel and a serial implementation. The parallel implementation has the advantage…

Data Structures and Algorithms · Computer Science 2024-05-21 William Kuszmaul , Alek Westover

In observational studies, researchers must select a method to control for confounding. Options include propensity score methods and regression. It remains unclear how dataset characteristics (size, overlap in propensity scores, exposure…

Methodology · Statistics 2022-10-21 J. Wilkinson , M. A. Mamas , E. Kontopantelis

We study the problem of scheduling jobs on fault-prone machines communicating via a shared channel, also known as multiple-access channel. We have $n$ arbitrary length jobs to be scheduled on $m$ identical machines, $f$ of which are prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Marek Klonowski , Dariusz R. Kowalski , Jarosław Mirek , Prudence W. H. Wong

The theocratical properties of the power of the conventional testing hypotheses and the selection bias are usually unknown under covariate-adaptive randomized clinical trials. In the literature, most studies are based on simulations. In…

Statistics Theory · Mathematics 2021-05-04 Li-Xin Zhang

The size distributions of power outages are shown to depend on the stress, or the proximity of the load of an electrical grid to complete breakdown. Using the data for the U.S. between 2002-2017, we show that the outage statistics are…

Physics and Society · Physics 2020-02-12 Soumyajyoti Biswas , Lucas Goehring

A common approach to statistical learning with big-data is to randomly split it among $m$ machines and learn the parameter of interest by averaging the $m$ individual estimates. In this paper, focusing on empirical risk minimization, or…

Machine Learning · Statistics 2016-06-14 Jonathan Rosenblatt , Boaz Nadler

We study the security threats of power system operation brought by a class of data injection attacks upon load forecasting algorithms. In particular, with minimal assumptions on the knowledge and ability of the attacker, we design attack…

Optimization and Control · Mathematics 2019-06-17 Yize Chen , Yushi Tan , Ling Zhang , Baosen Zhang

Traditionally, research focusing on the design of routing and staffing policies for service systems has modeled servers as having fixed (possibly heterogeneous) service rates. However, service systems are generally staffed by people.…

Computer Science and Game Theory · Computer Science 2016-03-24 Ragavendran Gopalakrishnan , Sherwin Doroudi , Amy R. Ward , Adam Wierman

Strong empirical evidence that one machine-learning algorithm A outperforms another one B ideally calls for multiple trials optimizing the learning pipeline over sources of variation such as data sampling, data augmentation, parameter…

In this case study, we investigate the impact of workload balance on the performance of multi-FPGA codes. We start with an application in which two distinct kernels run in parallel on two SRC-6 MAP processors. We observe that one of the MAP…

Astrophysics · Physics 2007-11-14 Volodymyr V. Kindratenko , Robert J. Brunner , Adam D. Myers

Cluster randomized trials with measurements at baseline can improve power over post-test only designs by using difference in difference designs. However, subjects may be lost to follow-up between the baseline and follow-up periods. While…

Methodology · Statistics 2019-03-26 Jonathan Moyer , Ken Kleinman

We consider the allocation of $m$ balls (jobs) into $n$ bins (servers). In the Two-Choice process, for each of $m$ sequentially arriving balls, two randomly chosen bins are sampled and the ball is placed in the least loaded bin. It is…

Discrete Mathematics · Computer Science 2023-03-15 Dimitrios Los , Thomas Sauerwald

Power consumption costs takes upto half of operational expenses of datacenters making power management a critical concern. Advances in processor technology provide fine-grained control over operating frequency and voltage of processors and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-13 Swetha P. T. Srinivasan , Umesh Bellur

Models of parallel processing systems typically assume that one has $l$ workers and jobs are split into an equal number of $k=l$ tasks. Splitting jobs into $k > l$ smaller tasks, i.e. using ``tiny tasks'', can yield performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-24 Stefan Bora , Brenton Walker , Markus Fidler

The theory community has proposed several new heap variants in the recent past which have remained largely untested experimentally. We take the field back to the drawing board, with straightforward implementations of both classic and novel…

Data Structures and Algorithms · Computer Science 2014-03-04 Daniel H. Larkin , Siddhartha Sen , Robert E. Tarjan

Failed workloads that consumed significant computational resources in time and space affect the efficiency of data centers significantly and thus limit the amount of scientific work that can be achieved. While the computational power has…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Jie Li , Rui Wang , Ghazanfar Ali , Tommy Dang , Alan Sill , Yong Chen
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