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pro vyhledávání: '"Boege, Tobias"'
Autor:
Boege, Tobias
Autor:
Boege, Tobias, Drton, Mathias, Hollering, Benjamin, Lumpp, Sarah, Misra, Pratik, Schkoda, Daniela
Stationary distributions of multivariate diffusion processes have recently been proposed as probabilistic models of causal systems in statistics and machine learning. Motivated by these developments, we study stationary multivariate diffusion process
Externí odkaz:
http://arxiv.org/abs/2408.00583
We analyze a combinatorial rule satisfied by the signs of principal minors of a real symmetric matrix. The sign patterns satisfying this rule are equivalent to uniform oriented Lagrangian matroids. We first discuss their structure and symmetries and
Externí odkaz:
http://arxiv.org/abs/2407.17826
We study submodels of Gaussian DAG models defined by partial homogeneity constraints imposed on the model error variances and structural coefficients. We represent these models with colored DAGs and investigate their properties for use in statistical
Externí odkaz:
http://arxiv.org/abs/2404.04024
We introduce an algebraic concept of the frame for abstract conditional independence (CI) models, together with basic operations with respect to which such a frame should be closed: copying and marginalization. Three standard examples of such frames
Externí odkaz:
http://arxiv.org/abs/2402.14053
Autor:
Boege, Tobias, Fritze, René, Görgen, Christiane, Hanselman, Jeroen, Iglezakis, Dorothea, Kastner, Lars, Koprucki, Thomas, Krause, Tabea, Lehrenfeld, Christoph, Polla, Silvia, Reidelbach, Marco, Riedel, Christian, Saak, Jens, Schembera, Björn, Tabelow, Karsten, Weber, Marcus
In this paper we discuss the notion of research data for the field of mathematics and report on the status quo of research-data management and planning. A number of decentralized approaches are presented and compared to needs and challenges faced in
Externí odkaz:
http://arxiv.org/abs/2211.12071
Autor:
Boege, Tobias
Publikováno v:
Computeralgebra-Rundbrief, Nr. 71, pp. 15-20 (2022)
This short expository paper outlines applications of computer algebra to the implication problem of conditional independence for Gaussian random variables. We touch on certificates for validity and invalidity of inference rules from the perspective o
Externí odkaz:
http://arxiv.org/abs/2211.04164
Autor:
Boege, Tobias
Selfadhesivity is a property of entropic polymatroids which guarantees that the polymatroid can be glued to an identical copy of itself along arbitrary restrictions such that the two pieces are independent given the common restriction. We show that p
Externí odkaz:
http://arxiv.org/abs/2205.07667
Autor:
Boege, Tobias
A rational probability distribution on four binary random variables $X, Y, Z, U$ is constructed which satisfies the conditional independence relations $[X \mathrel{\text{$\perp\mkern-10mu\perp$}} Y]$, $[X \mathrel{\text{$\perp\mkern-10mu\perp$}} Z \m
Externí odkaz:
http://arxiv.org/abs/2204.03971
We impose rank one constraints on marginalizations of a tensor, given by a simplicial complex. Following work of Kirkup and Sullivant, such marginal independence models can be made toric by a linear change of coordinates. We study their toric ideals,
Externí odkaz:
http://arxiv.org/abs/2112.10287