Closing the problem of which causal structures of up to six total nodes have a classical-quantum gap
Department of Mathematics, University of York（约克大学数学系）；Aix-Marseille University, CNRS, LIS（阿维尼翁-马赛大学，法国国家科学研究中心，LIS）；Department of Mathematics, King's College London（伦敦国王学院数学系）
The discovery of Bell that there exist quantum correlations that cannot be reproduced classically is one of the most important in the foundations of quantum mechanics, as well as having practical implications. Bell's result was originally proven in a simple bipartite causal structure, but analogous results have also been shown in further causal structures. Here we study the only causal structure with six or fewer nodes in which the question of whether or not there exist quantum correlations that cannot be achieved classically was open. In this causal structure we show that such quantum correlations exist using a method that involves imposing additional restrictions on the correlations. This hence completes the picture of which causal structures of up to six nodes support non-classical quantum correlations. We also provide further illustrations of our method using other causal structures.
General targeted machine learning for modern causal mediation analysis
Division of Biostatistics, Department of Population Health, New York University Grossman School of Medicine（生物统计学系，人口健康部，纽约大学格罗斯曼医学院）；Department of Epidemiology, Mailman School of Public Health, Columbia University（流行病学系，马林公共卫生学院，哥伦比亚大学）
Multidata Causal Discovery for Statistical Hurricane Intensity Forecasting
Faculty of Geosciences and Environment, Expertise Center for Climate Extremes, University of Lausanne（洛桑大学地球科学与环境学院、气候极端事件专业中心）；Cooperative Institute for Research in the Atmosphere, Colorado State University（科罗拉多州立大学大气合作研究所）；Department of Computer Science, University of Potsdam（波茨坦大学计算机科学系）
Assessing lack of common support in causal inference using Bayesian nonparametrics: Implications for evaluating the effect of breastfeeding on children's cognitive outcomes
