Learning and Sampling of Atomic Interventions from Observations
National University of Singapore(新加坡国立大学);Cornell University(康奈尔大学);University of Wisconsin-Madison(威斯康星大学麦迪逊分校);University of Nebraska-Lincoln(内布拉斯加大学林肯分校)
Arnab Bhattacharyya, Sutanu Gayen, Saravanan Kandasamy, Ashwin Maran, N. V. Vinodchandran
备注:
26 pages, 4 figures, a version appeared in ICML 2020
We study the problem of efficiently estimating the effect of an intervention on a single variable (atomic interventions) using observational samples in a causal Bayesian network. Our goal is to give algorithms that are efficient in both time and sample complexity in a non-parametric setting.
Tian and Pearl (AAAI `02) have exactly characterized the class of causal graphs for which causal effects of atomic interventions can be identified from observational data. We make their result quantitative. Suppose P is a causal model on a set $\vec{V}$ of n observable variables with respect to a given causal graph G with observable distribution $P$. Let $P_x$ denote the interventional distribution over the observables with respect to an intervention of a designated variable X with x. Assuming that $G$ has bounded in-degree, bounded c-components ($k$), and that the observational distribution is identifiable and satisfies certain strong positivity condition, we give an algorithm that takes $m=\tilde{O}(nε^{-2})$ samples from $P$ and $O(mn)$ time, and outputs with high probability a description of a distribution $\hat{P}$ such that $d_{\mathrm{TV}}(P_x, \hat{P}) \leq ε$, and:
1. [Evaluation] the description can return in $O(n)$ time the probability $\hat{P}(\vec{v})$ for any assignment $\vec{v}$ to $\vec{V}$
2. [Generation] the description can return an iid sample from $\hat{P}$ in $O(n)$ time.
We also show lower bounds for the sample complexity showing that our sample complexity has an optimal dependence on the parameters $n$ and $ε$, as well as if $k=1$ on the strong positivity parameter.
Counting and Sampling from Markov Equivalent DAGs Using Clique Trees
University of Illinois at Urbana-Champaign(伊利诺伊大学厄巴纳-香槟分校);Sharif University of Technology(谢里夫理工大学);Georgia Institute of Technology(佐治亚理工学院);Carnegie Mellon University(卡内基梅隆大学)
Generative Intervention Models for Causal Perturbation Modeling
Technical University of Munich(慕尼黑技术大学);Department of Computer Science, ETH Zurich, Switzerland(苏黎世联邦理工学院计算机科学系);Munich Center for Machine Learning, Germany(慕尼黑机器学习中心)
T2ID-CAS: Diffusion Model and Class Aware Sampling to Mitigate Class Imbalance in Neck Ultrasound Anatomical Landmark Detection
Department of Computer Science, University of Central Florida(计算机科学系,中央佛罗里达大学);Department of Otolaryngology Head Neck Surgery, University of Cincinnati College of Medicine(耳鼻喉科与头颈外科系,辛辛那提大学医学院);Department of Internal Medicine, University of Central Florida College of Medicine(内科系,中央佛罗里达大学医学院)
Breaking the Spurious Causality of Conditional Generation via Fairness Intervention with Corrective Sampling
Samsung Advanced Institute of Technology (SAIT)(三星先进技术研究院);Korea Advanced Institute of Science & Technology (KAIST)(韩国科学技术院);Pohang University of Science and Technology (POSTECH)(浦项科技大学)
School of Computer and Communication Sciences, EPFL(洛桑联邦理工学院计算机与通信科学学院);Borealis AI(Borealis人工智能公司);College of Management of Technology, EPFL(洛桑联邦理工学院技术管理学院);Department of Computer Science, TUM(慕尼黑工业大学计算机科学系)
Reinforced dynamics for enhanced sampling in large atomic and molecular systems
Princeton University(普林斯顿大学);Institute of Applied Physics and Computational Mathematics(应用物理与计算数学研究所);CAEP Software Center for High Performance Numerical Simulation(中国工程物理研究院高性能数值模拟软件中心);Beijing Institute of Big Data Research(北京大数据研究院)
BFTS: Thompson Sampling with Bayesian Additive Regression Trees
Department of Statistics and Data Science, National University of Singapore(统计与数据科学系,国立新加坡大学);Centre for Biomedical Data Science, Duke-NUS Medical School(生物医学数据科学中心,杜克-新加坡国立大学医学院);Department of Biostatistics and Bioinformatics, Duke University(生物统计学与生物信息学系,杜克大学);Department of Statistics and Data Science, Washington University in St. Louis(统计与数据科学系,圣路易斯华盛顿大学)
Selective Safety Steering via Value-Filtered Decoding
Department of Electrical and Computer Engineering, Technion IIT(技术学院电气与计算机工程系);Department of Statistics, University of Oxford(牛津大学统计系);OATML, Department of Computer Science, University of Oxford(牛津大学计算机科学系);Department of Computer Science, Technion IIT(技术学院计算机科学系)