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Quantiles are very important statistics information used to describe the distribution of datasets. Given the quantiles of a dataset, we can easily know the distribution of the dataset, which is a fundamental problem in data analysis.…

Databases · Computer Science 2015-08-25 Zixuan Zhuang

As data volume grows extensively, data profiling helps to extract metadata of large-scale data. However, one kind of metadata, order statistics, is difficult to be computed because they are not mergeable or incremental. Thus, the limitation…

Data Structures and Algorithms · Computer Science 2020-06-29 Zhiwei Chen , Aoqian Zhang

For incremental quantile estimators the step size and possibly other tuning parameters must be carefully set. However, little attention has been given on how to set these values in an online manner. In this article we suggest two novel…

Methodology · Statistics 2020-04-28 Hugo L. Hammer , Anis Yazidi , Michael A. Riegler , Håvard Rue

Superquantiles have recently gained significant interest as a risk-aware metric for addressing fairness and distribution shifts in statistical learning and decision making problems. This paper introduces a fast, scalable and robust…

Optimization and Control · Mathematics 2026-03-26 Jake Roth , Ying Cui

Recent works in dataset distillation seek to minimize training expenses by generating a condensed synthetic dataset that encapsulates the information present in a larger real dataset. These approaches ultimately aim to attain test accuracy…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Samir Khaki , Ahmad Sajedi , Kai Wang , Lucy Z. Liu , Yuri A. Lawryshyn , Konstantinos N. Plataniotis

Quantiles, such as the median or percentiles, provide concise and useful information about the distribution of a collection of items, drawn from a totally ordered universe. We study data structures, called quantile summaries, which keep…

Data Structures and Algorithms · Computer Science 2026-01-27 Graham Cormode , Pavel Veselý

The quantum approximate optimization algorithm (QAOA) is an approach for near-term quantum computers to potentially demonstrate computational advantage in solving combinatorial optimization problems. However, the viability of the QAOA…

Very large datasets are often encountered in climatology, either from a multiplicity of observations over time and space or outputs from deterministic models (sometimes in petabytes= 1 million gigabytes). Loading a large data vector and…

Computation · Statistics 2010-07-08 Reza Hosseini

IoT-enabled devices continue to generate a massive amount of data. Transforming this continuously arriving raw data into timely insights is critical for many modern online services. For such settings, the traditional form of data analytics…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-16 Zhenyu Wen , Do Le Quoc , Pramod Bhatotia , Ruichuan Chen , Myungjin Lee

Modern applications require processing streams of data for estimating statistical quantities such as quantiles with small amount of memory. In many such applications, in fact, one needs to compute such statistical quantities for each of a…

Databases · Computer Science 2014-07-07 Qiang Ma , S. Muthukrishnan , Mark Sandler

Always-on TinyML perception tasks in IoT applications require very high energy efficiency. Analog compute-in-memory (CiM) using non-volatile memory (NVM) promises high efficiency and also provides self-contained on-chip model storage.…

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

Computer Vision and Pattern Recognition · Computer Science 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

Quantile is a popular performance measure for a stochastic system to evaluate its variability and risk. To reduce the risk, selecting the actions that minimize the tail quantiles of some loss distributions is typically of interest for…

Optimization and Control · Mathematics 2019-01-18 Songhao Wang , Szu Hui Ng , William Benjamin Haskell

Computing the approximate quantiles or ranks of a stream is a fundamental task in data monitoring. Given a stream of elements $x_1, x_2, \dots, x_n$ and a query $x$, a relative-error quantile estimation algorithm can estimate the rank of…

Data Structures and Algorithms · Computer Science 2024-11-05 Elena Gribelyuk , Pachara Sawettamalya , Hongxun Wu , Huacheng Yu

In the approximate quantiles problem, the goal is to output $m$ quantile estimates, the ranks of which are as close as possible to $m$ given quantiles $0 \leq q_1 \leq\dots \leq q_m \leq 1$. We present a mechanism for approximate quantiles…

Data Structures and Algorithms · Computer Science 2025-12-15 Jacob Imola , Fabrizio Boninsegna , Hannah Keller , Anders Aamand , Amrita Roy Chowdhury , Rasmus Pagh

Anomalies refer to the departure of systems and devices from their normal behaviour in standard operating conditions. An anomaly in an industrial device can indicate an upcoming failure, often in the temporal direction. In this paper, we…

Machine Learning · Computer Science 2024-02-13 Snehanshu Saha , Jyotirmoy Sarkar , Soma Dhavala , Santonu Sarkar , Preyank Mota

Monitoring the status of large computing systems is essential to identify unexpected behavior and improve their performance and uptime. However, due to the large-scale and distributed design of such computing systems as well as a large…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-09 Tom Richard Vargis , Siavash Ghiasvand

The quantum approximate optimisation algorithm was proposed as a heuristic method for solving combinatorial optimisation problems on near-term quantum computers and may be among the first algorithms to perform useful computations in the…

Quantum Physics · Physics 2022-11-10 David Headley , Thorge Müller , Ana Martin , Enrique Solano , Mikel Sanz , Frank K. Wilhelm

Many modern datacenter applications involve large-scale computations composed of multiple data flows that need to be completed over a shared set of distributed resources. Such a computation completes when all of its flows complete. A useful…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-12 Hamidreza Jahanjou , Erez Kantor , Rajmohan Rajaraman

Quantile regression is a method to estimate the quantiles of the conditional distribution of a response variable, and as such it permits a much more accurate portrayal of the relationship between the response variable and observed…

Data Structures and Algorithms · Computer Science 2014-01-08 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney
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