Markus Kalisch

  1. Learning high-dimensional DAGs with latent and selection variables.

    Authors: Thomas S. Richardson, Marloes H. Maathuis, Markus Kalisch, Diego Colombo
    Subjects: Methodology
    Abstract

    We consider the problem of learning causal information between random
    variables in DAGs when allowing arbitrarily many latent and selection
    variables. The FCI algorithm (Spirtes et al., 1999) has been explicitly
    designed to infer conditional independence and causal information in such
    settings. However, FCI is computationally infeasible for large graphs. We
    therefore propose a new algorithm, the RFCI algorithm, which is much faster
    than FCI. In some situations the output of RFCI is slightly less informative,
    in particular with respect to conditional independence information.

  2. Decomposition and Model Selection for Large Contingency Tables.

    Authors: Markus Kalisch, Peter Bühlmann, Corinne Dahinden
    Subjects: Methodology
    Abstract

    Large contingency tables summarizing categorical variables arise in many
    areas. For example in biology when a large number of biomarkers are
    cross-tabulated according to their discrete expression level. Interactions of
    the variables are generally studied with log-linear models and the structure of
    a log-linear model can be visually represented by a graph from which the
    conditional independence structure can then be read off.

  3. Variable selection in high-dimensional linear models: partially faithful distributions and the PC-simple algorithm.

    Authors: Marloes H. Maathuis, Markus Kalisch, Peter Bühlmann
    Subjects: Methodology
    Abstract

    We consider variable selection in high-dimensional linear models where the
    number of covariates greatly exceeds the sample size. We introduce the new
    concept of partial faithfulness and use it to infer associations between the
    covariates and the response.

  4. Variable selection in high-dimensional linear models: partially faithful distributions and the PC-simple algorithm.

    Authors: Marloes H. Maathuis, Markus Kalisch, Peter Bühlmann
    Subjects: Methodology
    Abstract

    We consider variable selection in high-dimensional linear models where the
    number of covariates greatly exceeds the sample size. We introduce the new
    concept of partial faithfulness and use it to infer associations between the
    covariates and the response.

  5. Estimating high-dimensional intervention effects from observational data.

    Authors: Marloes H. Maathuis, Markus Kalisch, Peter Bühlmann
    Subjects: Methodology
    Abstract

    We assume that we have observational data generated from an unknown
    underlying directed acyclic graph (DAG) model. A DAG is typically not
    identifiable from observational data, but it is possible to consistently
    estimate the equivalence class of a DAG. Moreover, for any given DAG, causal
    effects can be estimated using intervention calculus. In this paper, we combine
    these two parts. For each DAG in the estimated equivalence class, we use
    intervention calculus to estimate the causal effects of the covariates on the
    response.

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