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We argue here about the relevance and the ultimate unity of the Bayesian approach in a neutral and agnostic manner. Our main theme is that Bayesian data analysis is an effective tool for handling complex models, as proven by the increasing…

Methodology · Statistics 2010-03-26 Christian P. Robert

The Big Data is the most popular paradigm nowadays and it has almost no untouched area. For instance, science, engineering, economics, business, social science, and government. The Big Data are used to boost up the organization performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-26 Ripon Patgiri

The ability to collect and analyze large amounts of data is a growing problem within the scientific community. The growing gap between data and users calls for innovative tools that address the challenges faced by big data volume, velocity…

Databases · Computer Science 2016-08-01 Vijay Gadepally , Jeremy Kepner

We argue that the boldest claims of Big Data are in need of revision and toning-down, in view of a few basic lessons learned from the science of complex systems. We point out that, once the most extravagant claims of Big Data are properly…

General Literature · Computer Science 2018-07-26 Sauro Succi , Peter V. Coveney

The term, Big Data, has been authored to refer to the extensive heave of data that can't be managed by traditional data handling methods or techniques. The field of Big Data plays an indispensable role in various fields, such as…

Computers and Society · Computer Science 2017-10-12 Mashooque Ahmed Memon , Safeeullah Soomro , Awais Khan Jumani , Muneer Ahmed Kartio

These lecture notes were written with the aim to provide an accessible though technically solid introduction to the logic of systematical analyses of statistical data to both undergraduate and postgraduate students, in particular in the…

Applications · Statistics 2019-09-02 Henk van Elst

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung

Big data is no more "all just hype" but widely applied in nearly all aspects of our business, governments, and organizations with the technology stack of AI. Its influences are far beyond a simple technique innovation but involves all rears…

Other Computer Science · Computer Science 2021-04-19 Bilal Abu-Salih , Pornpit Wongthongtham , Dengya Zhu , Kit Yan Chan , Amit Rudra

Big data refers to large and complex data sets that, under existing approaches, exceed the capacity and capability of current compute platforms, systems software, analytical tools and human understanding. Numerous lessons on the scalability…

Big Data bring new opportunities to modern society and challenges to data scientists. On one hand, Big Data hold great promises for discovering subtle population patterns and heterogeneities that are not possible with small-scale data. On…

Machine Learning · Statistics 2014-12-16 Jianqing Fan , Fang Han , Han Liu

The modern era is characterised as an era of information or Big Data. This has motivated a huge literature on new methods for extracting information and insights from these data. A natural question is how these approaches differ from those…

Computation · Statistics 2020-06-09 Farzana Jahan , Insha Ullah , Kerrie L Mengersen

A central question in the era of 'big data' is what to do with the enormous amount of information. One possibility is to characterize it through statistics, e.g., averages, or classify it using machine learning, in order to understand the…

Information Theory · Computer Science 2017-09-12 Anders Høst-Madsen , Elyas Sabeti , Chad Walton

The relevance and importance of contextualizing data analytics is described. Qualitative characteristics might form the context of quantitative analysis. Topics that are at issue include: contrast, baselining, secondary data sources,…

Artificial Intelligence · Computer Science 2023-06-22 Fionn Murtagh , Mohsen Farid

Data originating from the Web, sensor readings and social media result in increasingly huge datasets. The so called Big Data comes with new scientific and technological challenges while creating new opportunities, hence the increasing…

Artificial Intelligence · Computer Science 2020-02-19 Ilias Tachmazidis , Grigoris Antoniou , Wolfgang Faber

Principal component analysis is a useful dimension reduction and data visualization method. However, in high dimension, low sample size asymptotic contexts, where the sample size is fixed and the dimension goes to infinity,a paradox has…

Applications · Statistics 2012-11-21 Dan Shen , Haipeng Shen , Hongtu Zhu , J. S. Marron

Predicting the future state of a system has always been a natural motivation for science and practical applications. Such a topic, beyond its obvious technical and societal relevance, is also interesting from a conceptual point of view.…

Physics and Society · Physics 2019-04-25 Hykel Hosni , Angelo Vulpiani

Steve Jobs, one of the greatest visionaries of our time was quoted in 1996 saying "a lot of times, people do not know what they want until you show it to them" [38] indicating he advocated products to be developed based on human intuition…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Kevin Taylor-Sakyi

The theory of large deviations is already the natural language for the statistical physics of equilibrium and non-equilibrium. In the field of disordered systems, the analysis via large deviations is even more useful to describe within a…

Disordered Systems and Neural Networks · Physics 2021-05-12 Cecile Monthus

Large language models (LLMs) represent a new paradigm for processing unstructured data, with applications across an unprecedented range of domains. In this paper, we address, through two arguments, whether the development and application of…

Methodology · Statistics 2026-02-03 Weijie Su

Big Data are huge amounts of digital information that are automatically accrued or merged from several sources and rarely result from properly planned surveys. A Big Dataset is herein conceived of as a collection of information concerning a…

Computation · Statistics 2020-02-12 Deldossi Laura , Tommasi Chiara