Search Results for author: Mathias Drton

Found 18 papers, 6 papers with code

$\texttt{causalAssembly}$: Generating Realistic Production Data for Benchmarking Causal Discovery

1 code implementation19 Jun 2023 Konstantin Göbler, Tobias Windisch, Mathias Drton, Tim Pychynski, Steffen Sonntag, Martin Roth

We use the assembly line data and associated ground truth information to build a system for generation of semisynthetic manufacturing data that supports benchmarking of causal discovery methods.

Benchmarking Causal Discovery

Rank-Based Causal Discovery for Post-Nonlinear Models

no code implementations23 Feb 2023 Grigor Keropyan, David Strieder, Mathias Drton

As an alternative, we propose a new approach for PNL causal discovery that uses rank-based methods to estimate the functional parameters.

Causal Discovery

High-Dimensional Undirected Graphical Models for Arbitrary Mixed Data

no code implementations21 Nov 2022 Konstantin Göbler, Anne Miloschewski, Mathias Drton, Sach Mukherjee

Methods for learning such graphical models are well developed in the case where all variables are either continuous or discrete, including in high-dimensions.

Vocal Bursts Intensity Prediction

Learning Linear Non-Gaussian Polytree Models

1 code implementation13 Aug 2022 Daniele Tramontano, Anthea Monod, Mathias Drton

In the context of graphical causal discovery, we adapt the versatile framework of linear non-Gaussian acyclic models (LiNGAMs) to propose new algorithms to efficiently learn graphs that are polytrees.

Causal Discovery

Graphical Representations for Algebraic Constraints of Linear Structural Equations Models

no code implementations1 Aug 2022 Thijs van Ommen, Mathias Drton

The observational characteristics of a linear structural equation model can be effectively described by polynomial constraints on the observed covariance matrix.

Interaction Models and Generalized Score Matching for Compositional Data

no code implementations10 Sep 2021 Shiqing Yu, Mathias Drton, Ali Shojaie

Applications such as the analysis of microbiome data have led to renewed interest in statistical methods for compositional data, i. e., multivariate data in the form of probability vectors that contain relative proportions.

Definite Non-Ancestral Relations and Structure Learning

1 code implementation20 May 2021 Wenyu Chen, Mathias Drton, Ali Shojaie

Ancestral relations between variables play an important role in causal modeling.

Generalized Score Matching for General Domains

no code implementations24 Sep 2020 Shiqing Yu, Mathias Drton, Ali Shojaie

Score matching provides a powerful tool for estimating densities with such intractable normalizing constants, but as originally proposed is limited to densities on $\mathbb{R}^m$ and $\mathbb{R}_+^m$.

Structure Learning for Cyclic Linear Causal Models

no code implementations10 Jun 2020 Carlos Améndola, Philipp Dettling, Mathias Drton, Federica Onori, Jun Wu

We consider the problem of structure learning for linear causal models based on observational data.

Statistical significance in high-dimensional linear mixed models

1 code implementation16 Dec 2019 Lina Lin, Mathias Drton, Ali Shojaie

Our framework is inspired by a recent line of work that proposes de-biasing penalized estimators to perform inference for high-dimensional linear models with fixed effects only.

valid Vocal Bursts Intensity Prediction

Generalized Score Matching for Non-Negative Data

no code implementations26 Dec 2018 Shiqing Yu, Mathias Drton, Ali Shojaie

The score matching method of Hyv\"arinen [2005] avoids direct calculation of the normalizing constant and yields closed-form estimates for exponential families of continuous distributions over $\mathbb{R}^m$.

Numerical Integration

On Causal Discovery with Equal Variance Assumption

2 code implementations9 Jul 2018 Wenyu Chen, Mathias Drton, Y. Samuel Wang

Prior work has shown that causal structure can be uniquely identified from observational data when these follow a structural equation model whose error terms have equal variances.

Methodology Computation

Structure Learning in Graphical Modeling

no code implementations7 Jun 2016 Mathias Drton, Marloes H. Maathuis

A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest.

Marginal likelihood and model selection for Gaussian latent tree and forest models

no code implementations29 Dec 2014 Mathias Drton, Shaowei Lin, Luca Weihs, Piotr Zwiernik

We clarify how in this case real log-canonical thresholds can be computed using polyhedral geometry, and we show how to apply the general theory to the Laplace integrals associated with Gaussian latent tree and forest models.

Bayesian Inference Model Selection

Order-invariant prior specification in Bayesian factor analysis

no code implementations26 Sep 2014 Dennis Leung, Mathias Drton

In (exploratory) factor analysis, the loading matrix is identified only up to orthogonal rotation.

Bayesian Inference

Robust Graphical Modeling with t-Distributions

no code implementations9 Aug 2014 Michael A. Finegold, Mathias Drton

Graphical Gaussian models have proven to be useful tools for exploring network structures based on multivariate data.

Model Selection

Nonparametric Reduced Rank Regression

no code implementations NeurIPS 2012 Rina Foygel, Michael Horrell, Mathias Drton, John D. Lafferty

We propose an approach to multivariate nonparametric regression that generalizes reduced rank regression for linear models.

regression

Extended Bayesian Information Criteria for Gaussian Graphical Models

2 code implementations NeurIPS 2010 Rina Foygel, Mathias Drton

Gaussian graphical models with sparsity in the inverse covariance matrix are of significant interest in many modern applications.

Statistics Theory Statistics Theory

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