Conjunctive Bayesian networks
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Publication:2469657
DOI10.3150/07-BEJ6133zbMath1129.62100arXivmath/0608417MaRDI QIDQ2469657
Niko Beerenwinkel, Bernd Sturmfels, Nicholas Eriksson
Publication date: 6 February 2008
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608417
toric varietyGröbner basismaximum likelihood estimationdistributive latticeBayesian networkMöbius transformSagbi basismutagenetic treeHIV genetic dataoncogenetic tree
Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10) Bayesian inference (62F15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)
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Uses Software
Cites Work
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- Fusion, propagation, and structuring in belief networks
- Lattice models for conditional independence in a multivariate normal distribution
- Estimating an oncogenetic tree when false negatives and positives are present
- On the relation between conditional independence models determined by finite distributive lattices and by directed acyclic graphs
- On the toric algebra of graphical models
- A mutagenetic tree hidden Markov model for longitudinal clonal HIV sequence data
- Binary Models for Marginal Independence
- Mutagenetic Tree Models
- Toric Ideals of Phylogenetic Invariants
- The maximum likelihood degree
- Algebraic Statistics for Computational Biology