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Mathematical proof is undoubtedly the cornerstone of mathematics. The emergence, in the last years, of computing and reasoning tools, in particular automated geometry theorem provers, has enriched our experience with mathematics immensely.…

Artificial Intelligence · Computer Science 2022-01-06 Nuno Baeta , Pedro Quaresma

Computational philosophy is the use of mechanized computational techniques to unearth philosophical insights that are either difficult or impossible to find using traditional philosophical methods. Computational metaphysics is computational…

Logic in Computer Science · Computer Science 2019-08-13 Daniel Kirchner , Christoph Benzmüller , Edward N. Zalta

A clinical study is often necessary for exploring important research questions; however, this approach is sometimes time and money consuming. Another extreme approach, which is to collect and aggregate opinions from crowds, provides a…

Human-Computer Interaction · Computer Science 2022-05-17 Shoko Wakamiya , Toshiki Mera , Eiji Aramaki , Masaki Matsubara , Atsuyuki Morishima

Statistics experiences a storm around the perceived misuse and possible abuse of its methods in the context of the so-called reproducibility crisis. The methods and styles of quantification practiced in mathematical modelling rarely make it…

Methodology · Statistics 2019-08-20 Andrea Saltelli

Experimental mathematics is an experimental approach to mathematics in which programming and symbolic computation are used to investigate mathematical objects, identify properties and patterns, discover facts and formulas and even…

Combinatorics · Mathematics 2020-05-19 Yukun Yao

Crowdsourcing information constitutes an important aspect of human-in-the-loop learning for researchers across multiple disciplines such as AI, HCI, and social science. While using crowdsourced data for subjective tasks is not new,…

Human-Computer Interaction · Computer Science 2019-06-19 Ramya Srinivasan , Ajay Chander

The information technology explosion has dramatically increased the application of new mathematical ideas and has led to an increasing use of mathematics across a wide range of fields that have been traditionally labeled "pure" or…

History and Overview · Mathematics 2018-09-18 Katherine Gravel , Hayden Jananthan , Jeremy Kepner

Hybrid human/computer systems promise to greatly expand the usefulness of query processing by incorporating the crowd for data gathering and other tasks. Such systems raise many database system implementation questions. Perhaps most…

Databases · Computer Science 2012-02-13 Beth Trushkowsky , Tim Kraska , Michael J. Franklin , Purnamrita Sarkar

Crowdsourcing works by distributing many small tasks to large numbers of workers, yet the true potential of crowdsourcing lies in workers doing more than performing simple tasks---they can apply their experience and creativity to provide…

Social and Information Networks · Computer Science 2017-08-16 Thomas C. McAndrew , Elizaveta A. Guseva , James P. Bagrow

Across machine learning (ML) sub-disciplines researchers make mathematical assumptions to facilitate proof-writing. While such assumptions are necessary for providing mathematical guarantees for how algorithms behave, they also necessarily…

Computers and Society · Computer Science 2020-11-05 A. Feder Cooper

Mathematical oncology is an interdisciplinary research field where the mathematical sciences meet cancer research. Being situated at the intersection of these two fields makes mathematical oncology highly dynamic, as practicing researchers…

Physics and Society · Physics 2025-10-08 Kira Pugh , Linnéa Gyllingberg , Stanislav Stratiev , Sara Hamis

Computational sociology is growing in popularity, yet the analytic tools employed differ widely in power, transparency, and interpretability. In computer science, methods gain popularity after surpassing benchmarks of predictive accuracy,…

Computers and Society · Computer Science 2025-09-11 AJ Alvero , Ruohong Dong , Klint Kanopka , David Lang

The digital revolution has led to the digitization of human behavior, creating unprecedented opportunities to understand observable actions on an unmatched scale. Emerging phenomena such as crowdfunding and crowdsourcing have further…

Machine Learning · Computer Science 2023-06-27 Hannah H. Chang , Anirban Mukherjee

Learning from the crowd has become increasingly popular in the Web and social media. There is a wide variety of crowdlearning sites in which, on the one hand, users learn from the knowledge that other users contribute to the site, and, on…

Social and Information Networks · Computer Science 2016-12-16 Utkarsh Upadhyay , Isabel Valera , Manuel Gomez-Rodriguez

AI for Mathematics (AI4Math) has emerged as a distinct field that leverages machine learning to navigate mathematical landscapes historically intractable for early symbolic systems. While mid-20th-century symbolic approaches successfully…

History and Overview · Mathematics 2026-05-05 Haocheng Ju , Bin Dong

The emergence of "big data" offers unprecedented opportunities for not only accelerating scientific advances but also enabling new modes of discovery. Scientific progress in many disciplines is increasingly enabled by our ability to examine…

Computers and Society · Computer Science 2017-07-03 Vasant G. Honavar , Mark D. Hill , Katherine Yelick

Through case studies, we demonstrate how multiverse analysis can strengthen the robustness and transparency of computational social science findings against alternative methodological decisions. We conduct multiverse analyses of three…

Other Statistics · Statistics 2026-05-20 Maximilian Linde , Jun Sun , Paul Balluff , Danica Radovanović , Chung-hong Chan

A confluence of advances in the computer and mathematical sciences has unleashed unprecedented capabilities for enabling true evidence-based decision making. These capabilities are making possible the large-scale capture of data and the…

Computers and Society · Computer Science 2020-08-04 Eric Horvitz , Tom Mitchell

The sharing and citation of research data is becoming increasingly recognized as an essential building block in scientific research across various fields and disciplines. Sharing research data allows other researchers to reproduce results,…

Digital Libraries · Computer Science 2023-09-22 Tim Conrad , Eloi Ferrer , Daniel Mietchen , Larissa Pusch , Johannes Stegmuller , Moritz Schubotz

The crowdsourcing consists in the externalisation of tasks to a crowd of people remunerated to execute this ones. The crowd, usually diversified, can include users without qualification and/or motivation for the tasks. In this paper we will…

Artificial Intelligence · Computer Science 2018-11-20 Constance Thierry , Jean-Christophe Dubois , Yolande Le Gall , Arnaud Martin
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