中文题目：社会计算的数学基础

中文摘要：社会计算包括人们与计算系统交互的机制:众包系统、排名和推荐系统、在线预测市场、公民科学项目和协作编辑的wiki等等。这些系统都有一个共同的特征，即人类是积极的参与者，做出决定，决定系统的输入，从而决定系统的输出。这些系统的输出可以看作是机器和人类的联合计算，并且可以比两者单独产生的结果更加丰富。社会计算这个词经常被用作几个相关领域的同义词，比如“人类计算”和“集体智能”的子集；我们用它最广义的定义来概括所有这些东西。

在计算机科学，经济学和其他社会科学等不同学科的贡献下，社会计算正蓬勃发展到其自身的丰富研究领域。然而，一个广泛的社会计算的数学基础还没有建立起来，大量的数学研究还没有充分探索的机会来影响社会计算。

与其他领域一样，数学工作有很大的潜力影响和塑造社会计算的未来。然而，对于社会计算的优势、局限性和潜力，我们还远远没有系统和原则性的理解，无法与其他领域的应用程序相匹配。2015年6月，我们召集了大约25位相关领域的专家，讨论为社会计算建立数学基础的前景和挑战。本文档包含了讨论的几个关键思想。

英文题目：Mathematical Foundations for Social Computing

英文摘要：Social computing encompasses the mechanisms through which people interact with computational systems: crowdsourcing systems, ranking and recommendation systems, online prediction markets, citizen science projects, and collaboratively edited wikis, to name a few. These systems share the common feature that humans are active participants, making choices that determine the input to, and therefore the output of, the system. The output of these systems can be viewed as a joint computation between machine and human, and can be richer than what either could produce alone. The term social computing is often used as a synonym for several related areas, such as "human computation" and subsets of "collective intelligence"; we use it in its broadest sense to encompass all of these things.

Social computing is blossoming into a rich research area of its own, with contributions from diverse disciplines including computer science, economics, and other social sciences. Yet a broad mathematical foundation for social computing is yet to be established, with a plethora of under-explored opportunities for mathematical research to impact social computing.

As in other fields, there is great potential for mathematical work to influence and shape the future of social computing. However, we are far from having the systematic and principled understanding of the advantages, limitations, and potentials of social computing required to match the impact on applications that has occurred in other fields. In June 2015, we brought together roughly 25 experts in related fields to discuss the promise and challenges of establishing mathematical foundations for social computing. This document captures several of the key ideas discussed.

原文作者：Yiling Chen, Arpita Ghosh, Michael Kearns, Tim Roughgarden, Jennifer Wortman Vaughan

原文地址：https://arxiv.org/abs/2007.03661

PDF链接：https://arxiv.org/ftp/arxiv/papers/2007/2007.03661.pdf