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Technology of formal quantitative estimation of the conformity of the mathematical models to the available dataset is presented. Main purpose of the technology is to make easier the model selection decision-making process for the…

最优化与控制 · 数学 2020-04-21 Alexander Sokolov , Vladimir Voloshinov

In this technical paper we introduce the Tensor Network Theory (TNT) library -- an open-source software project aimed at providing a platform for rapidly developing robust, easy to use and highly optimised code for TNT calculations. The…

量子物理 · 物理学 2017-10-11 Sarah Al-Assam , Stephen R. Clark , Dieter Jaksch

A composite likelihood is an inference function derived by multiplying a set of likelihood components. This approach provides a flexible framework for drawing inference when the likelihood function of a statistical model is computationally…

统计方法学 · 统计学 2024-12-10 Giuseppe Alfonzetti , Ruggero Bellio , Yunxiao Chen , Irini Moustaki

Can machine learning help discover new mathematical structures? In this article we discuss an approach to doing this which one can call "mathematical data science". In this paradigm, one studies mathematical objects collectively rather than…

历史与综述 · 数学 2025-02-14 Michael R. Douglas , Kyu-Hwan Lee

In this work we introduce declarative statistics, a suite of declarative modelling tools for statistical analysis. Statistical constraints represent the key building block of declarative statistics. First, we introduce a range of relevant…

人工智能 · 计算机科学 2017-12-29 Roberto Rossi , Özgür Akgün , Steven Prestwich , S. Armagan Tarim

A fascinating conjectural connection between statistical mechanics and combinatorics has in the past five years led to the publication of a number of papers in various areas, including stochastic processes, solvable lattice models and…

统计力学 · 物理学 2007-05-23 Jan de Gier

Algorithmic statistics considers the following problem: given a binary string $x$ (e.g., some experimental data), find a "good" explanation of this data. It uses algorithmic information theory to define formally what is a good explanation.…

机器学习 · 计算机科学 2015-09-21 Alexey Milovanov

Databases contain information about which relationships do and do not hold among entities. To make this information accessible for statistical analysis requires computing sufficient statistics that combine information from different…

机器学习 · 计算机科学 2014-10-23 Zhensong Qian , Oliver Schulte , Yan Sun

Mutual information is a general statistical dependency measure which has found applications in representation learning, causality, domain generalization and computational biology. However, mutual information estimators are typically…

机器学习 · 统计学 2023-10-17 Paweł Czyż , Frederic Grabowski , Julia E. Vogt , Niko Beerenwinkel , Alexander Marx

The Web today has millions of datasets, and the number of datasets continues to grow at a rapid pace. These datasets are not standalone entities; rather, they are intricately connected through complex relationships. Semantic relationships…

信息检索 · 计算机科学 2024-08-28 Kate Lin , Tarfah Alrashed , Natasha Noy

We present CombOL (Combinatorial Objects Library), an open-source library for the enumeration and Boltzmann sampling of combinatorial classes. Classes can be specified by a concise string syntax, and may depend on an arbitrary number of…

数学软件 · 计算机科学 2026-05-07 Casper Asbjørn Eriksen , Daniel Merkle

This paper tries to throw light in the usage of data structures in the field of information retrieval. Information retrieval is an area of study which is gaining momentum as the need and urge for sharing and exploring information is growing…

信息检索 · 计算机科学 2016-02-26 V. R. Kanagavalli , G. Maheeja

MathRepo, located at https://mathrepo.mis.mpg.de, is an online repository for mathematical research data. In mathematics, research data comes in many different flavours. For instance, in computer algebra it most often takes the form of…

历史与综述 · 数学 2022-02-09 Claudia Fevola , Christiane Görgen

Data integration is a notoriously difficult and heuristic-driven process, especially when ground-truth data are not readily available. This paper presents a measure of uncertainty by providing maximal and minimal ranges of a query outcome…

数据库 · 计算机科学 2023-09-12 Deniz Turkcapar , Sanjay Krishnan

A learning environment, the tutor-web (http://tutor-web.net), has been developed and used for educational research. The system is accessible and free to use for anyone having access to the Web. It is based on open source software and the…

其他统计学 · 统计学 2014-07-02 Anna Helga Jonsdottir , Gunnar Stefansson

Stein's method compares probability distributions through the study of a class of linear operators called Stein operators. While mainly studied in probability and used to underpin theoretical statistics, Stein's method has led to…

Data fusion describes the method of combining data from (at least) two initially independent data sources to allow for joint analysis of variables which are not jointly observed. The fundamental idea is to base inference on identifying…

统计方法学 · 统计学 2020-12-02 Florian Meinfelder , Jannik Schaller

The RooStatsCms (RSC) software framework allows analysis modelling and combination, statistical studies together with the access to sophisticated graphics routines for results visualisation. The goal of the project is to complement the…

数据分析、统计与概率 · 物理学 2010-03-04 D. Piparo , Gregory Schott , G. Quast

A new type of statistical analysis of the science and technical information (STI) in the Web context is produced. We propose a set of indicators about Web users, visualized bibliographic records, and e-commercial transactions. In addition,…

信息检索 · 计算机科学 2008-11-06 Xavier Polanco , Ivana Roche , Dominique Besagni

In this paper we present the ClaimBuster dataset of 23,533 statements extracted from all U.S. general election presidential debates and annotated by human coders. The ClaimBuster dataset can be leveraged in building computational methods to…

计算与语言 · 计算机科学 2020-05-01 Fatma Arslan , Naeemul Hassan , Chengkai Li , Mark Tremayne