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We review recent work that employs the framework of logical inference to establish a bridge between data gathered through experiments and their objective description in terms of human-made concepts. It is shown that logical inference…

量子物理 · 物理学 2016-09-28 H. De Raedt , M. I. Katsnelson , K. Michielsen

Innovative ideas are often situated where disciplines meet, and socio-economic problems generally require contributions from several disciplines. Ways to stimulate interdisciplinary research collaborations are therefore an increasing point…

数字图书馆 · 计算机科学 2013-08-13 Nadine Rons

Information theory has been very successful in obtaining performance limits for various problems such as communication, compression and hypothesis testing. Likewise, stochastic control theory provides a characterization of optimal policies…

信息论 · 计算机科学 2018-10-15 Dhruva Kartik , Ekraam Sabir , Urbashi Mitra , Prem Natarajan

Program review in the physical sciences may benefit from a framework within which to quantitatively discuss the scientific merit of a proposed theoretical program of research, and to assess the scientific merit of a particular theoretical…

数据分析、统计与概率 · 物理学 2010-01-02 Bruce Knuteson

Inference is the process of using facts we know to learn about facts we do not know. A theory of inference gives assumptions necessary to get from the former to the latter, along with a definition for and summary of the resulting…

机器学习 · 统计学 2021-09-27 Beau Coker , Cynthia Rudin , Gary King

Competitive allocation of research funding is a major mechanism within the science system. It is fundamentally based on the idea of peer review. Peer review is central in project selection as peers are considered to be in a unique position…

物理与社会 · 物理学 2009-11-17 Peter van den Besselaar , Loet Leydesdorff

Approaching limitations of digital computing technologies have spurred research in neuromorphic and other unconventional approaches to computing. Here we argue that if we want to systematically engineer computing systems that are based on…

新兴技术 · 计算机科学 2023-08-21 Herbert Jaeger , Beatriz Noheda , Wilfred G. van der Wiel

In this paper, we demonstrate that considering experiments in a graph-theoretic manner allows us to exploit automorphisms of the graph to reduce the number of evaluations of candidate designs for those experiments, and thus find optimal…

统计方法学 · 统计学 2018-02-28 Ben M. Parker , Steven G Gilmour , Vasiliki Koutra

Public agencies like the U.S. National Science Foundation (NSF) and the National Institutes of Health (NIH) award tens of billions of dollars in annual science funding. How can this money be distributed as efficiently as possible to best…

物理与社会 · 物理学 2013-04-04 Johan Bollen , David Crandall , Damion Junk , Ying Ding , Katy Boerner

Recent years have seen the dramatic rise of the usage of AI algorithms in pure mathematics and fundamental sciences such as theoretical physics. This is perhaps counter-intuitive since mathematical sciences require the rigorous definitions,…

历史与综述 · 数学 2024-08-07 Yang-Hui He

Heavy-tailed impact distributions, intrinsic uncertainty, and the high costs of proposal-based peer review increasingly challenge research funding decisions. Using large-scale bibliometric data, we show that past scientific performance…

应用统计 · 统计学 2026-04-28 Carlos Oscar S. Sorzano , B. Pueche-Granados

Research funding systems are not isolated systems - they are embedded in a larger scientific system with an enormous influence on the system. This paper aims to analyze the allocation of competitive research funding from different…

How does one allocate a collection of resources to a set of strategic agents in a fair and efficient manner without using money? For in many scenarios it is not feasible to use money to compensate agents for otherwise unsatisfactory…

计算机科学与博弈论 · 计算机科学 2012-07-10 Richard Cole , Vasilis Gkatzelis , Gagan Goel

We introduce a general approach based on \emph{selective verification} and obtain approximate mechanisms without money for maximizing the social welfare in the general domain of utilitarian voting. Having a good allocation in mind, a…

计算机科学与博弈论 · 计算机科学 2015-07-10 Dimitris Fotakis , Christos Tzamos , Emmanouil Zampetakis

This paper overviews the economics of scientific grants, focusing on the interplay between the inherent uncertainty in research, researchers' incentives, and grant design. Grants differ from traditional market systems and other science and…

综合经济学 · 经济学 2024-10-17 Christoph Carnehl , Marco Ottaviani , Justus Preusser

Scientists often run experiments to distinguish competing theories. This requires patience, rigor, and ingenuity - there is often a large space of possible experiments one could run. But we need not comb this space by hand - if we represent…

人工智能 · 计算机科学 2016-08-18 Long Ouyang , Michael Henry Tessler , Daniel Ly , Noah Goodman

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

系统与控制 · 计算机科学 2017-01-11 Luca Bortolussi , Guido Sanguinetti

Understanding and quantifying causal relationships between variables is essential for reasoning about the physical world. In this work, we develop a resource-theoretic framework to do so. Here, we focus on the simplest nontrivial setting --…

Research projects are primarily collaborative in nature through internal and external partnerships, but what role does funding play in their formation? Here, we examined over 43,000 funded projects in the past three decades, enabling us to…

物理与社会 · 物理学 2015-05-20 Athen Ma , Raul J. Mondragon , Vito Latora

The aim of this paper is twofold. First, we introduce "resource constraints" as a general concept that covers many practical restrictions on experimental design. Second, for computing efficient exact designs of experiments under any…

统计计算 · 统计学 2014-08-08 Radoslav Harman , Alena Bachratá , Lenka Filová