Marloes H. Maathuis

  1. Asymptotic optimality of the Westfall--Young permutation procedure for multiple testing under dependence.

    Authors: Marloes H. Maathuis, Peter Bühlmann, Nicolai Meinshausen
    Subjects: Statistics
    Abstract

    Test statistics are often strongly dependent in large-scale multiple testing
    applications. Most corrections for multiplicity are unduly conservative for
    correlated test statistics, resulting in a loss of power to detect true
    positives. We show that the Westfall--Young permutation method has
    asymptotically optimal power for a broad class of testing problems with a
    block-dependence and sparsity structure among the tests, when the number of
    tests tends to infinity.

  2. 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.

  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. Nonparametric inference for competing risks current status data with continuous, discrete or grouped observation times.

    Authors: Marloes H. Maathuis, Michael G. Hudgens
    Subjects: Methodology
    Abstract

    New methods and theory have recently been developed to nonparametrically
    estimate cumulative incidence functions for competing risks survival data
    subject to current status censoring. In particular, the limiting distribution
    of the nonparametric maximum likelihood estimator (MLE) and a simplified "naive
    estimator" have been established under certain smoothness conditions. In this
    paper, we establish the large-sample behavior of these estimators in two
    additional models, namely when the observation time distribution has finite
    discrete support and when the observation times are grouped.

  6. 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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