scientific article; zbMATH DE number 7255082

zbMath1475.68279MaRDI QIDQ4969096

Hongyu Zhao, Kuang-Yao Lee, Bing Li, Tianqi Liu

Publication date: 5 October 2020

Full work available at URL: https://jmlr.csail.mit.edu/papers/v21/16-252.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

directed acyclic graphPC-algorithmglobal Markov propertyadditive conditional independenceadditive reproducing kernel Hilbert spacenormalized additive conditional covariance operator

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Learning and adaptive systems in artificial intelligence (68T05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Probabilistic graphical models (62H22) Causal inference from observational studies (62D20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalence of distance-based and RKHS-based statistics in hypothesis testing
• Sparse inverse covariance estimation with the graphical lasso
• A consistent characteristic function-based test for conditional independence
• Geometry of the faithfulness assumption in causal inference
• \(\ell_{0}\)-penalized maximum likelihood for sparse directed acyclic graphs
• Bayesian hierarchical modeling for signaling pathway inference from single cell interventional data
• Regularized rank-based estimation of high-dimensional nonparanormal graphical models
• The max-min hill-climbing Bayesian network structure learning algorithm
• Testing conditional independence using maximal nonlinear conditional correlation
• Testing conditional independence via Rosenblatt transforms
• Causation, prediction, and search
• Principal component analysis.
• High-dimensional semiparametric Gaussian copula graphical models
• A general theory for nonlinear sufficient dimension reduction: formulation and estimation
• Kernel dimension reduction in regression
• PC algorithm for Gaussian copula graphical models
• A NONPARAMETRIC HELLINGER METRIC TEST FOR CONDITIONAL INDEPENDENCE
• Learning Causal Bayesian Network Structures From Experimental Data
• Matrix Analysis
• Joint Measures and Cross-Covariance Operators
• Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
• Least squares quantization in PCM
• 10.1162/153244303321897717
• Sparse Estimation of Conditional Graphical Models With Application to Gene Networks
• On an Additive Semigraphoid Model for Statistical Networks With Application to Pathway Analysis
• Variable Selection via Additive Conditional Independence
• Theory of Reproducing Kernels