Tropical geometry of statistical models
From MaRDI portal
Publication:5460860
DOI10.1073/pnas.0406010101zbMath1135.62302arXivq-bio/0311009OpenAlexW1974520228WikidataQ37621684 ScholiaQ37621684MaRDI QIDQ5460860
Publication date: 19 July 2005
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-bio/0311009
Applications of graph theory (05C90) Foundations and philosophical topics in statistics (62A01) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)
Related Items (30)
Rank functions of tropical matrices ⋮ Tree topologies along a tropical line segment ⋮ Tropical Time Series, Iterated-Sums Signatures, and Quasisymmetric Functions ⋮ Pure dimension and projectivity of tropical polytopes ⋮ THE FINITE BASIS PROBLEM FOR THE MONOID OF TWO-BY-TWO UPPER TRIANGULAR TROPICAL MATRICES ⋮ Number of common roots and resultant of two tropical univariate polynomials ⋮ Tropical limit in statistical physics ⋮ Tropical limit and a micro-macro correspondence in statistical physics ⋮ Tropical positivity and determinantal varieties ⋮ Positive tropical flags and the positive tropical Dressian ⋮ Parsimony and the rank of a flattening matrix ⋮ Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians ⋮ Color-dressed generalized biadjoint scalar amplitudes: local planarity ⋮ Phylogenetic invariants for stationary base composition ⋮ Viterbi sequences and polytopes ⋮ The model-specific Markov embedding problem for symmetric group-based models ⋮ Tropical Geometries and Dynamics of Biochemical Networks Application to Hybrid Cell Cycle Models ⋮ Resultants over commutative idempotent semirings. I: Algebraic aspect ⋮ Geometry of the Kimura 3-parameter model ⋮ Phylogenetic ideals and varieties for the general Markov model ⋮ Parametric analysis of RNA branching configurations ⋮ Multiplicative structure of \(2\times 2\) tropical matrices ⋮ On \(2 \times 2\) tropical commuting matrices ⋮ A geometric method for model reduction of biochemical networks with polynomial rate functions ⋮ Parametric inference for biological sequence analysis ⋮ Equational theories of upper triangular tropical matrix semigroups ⋮ The zero-temperature limit of grand canonical ensembles via tropical geometry ⋮ Phylogenetics of Indo-European language families via an algebro-geometric analysis of their syntactic structures ⋮ Low degree equations for phylogenetic group-based models ⋮ Computing tropical varieties over fields with valuation using classical standard basis techniques
Cites Work
- Nonnegative ranks, decompositions, and factorizations of nonnegative matrices
- Parametric optimization of sequence alignment
- Phylogenetic invariants for the general Markov model of sequence mutation
- Acyclic orientations of complete bipartite graphs
- The generalized distributive law
- Factor graphs and the sum-product algorithm
- Parametric inference for biological sequence analysis
This page was built for publication: Tropical geometry of statistical models