Results 1 to 10 of about 84,529 (114)
Predicting need for heart failure advanced therapies using an interpretable tropical geometry-based fuzzy neural network. [PDF]
PLoS ONE, 2023 BackgroundTimely referral for advanced therapies (i.e., heart transplantation, left ventricular assist device) is critical for ensuring optimal outcomes for heart failure patients.
Yufeng Zhang +6 more
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Tropical geometry of statistical models. [PDF]
Proc Natl Acad Sci U S A, 2004 This paper presents a unified mathematical framework for inference in graphical models, building on the observation that graphical models are algebraic varieties.
Pachter L, Sturmfels B.
europepmc +6 more sources
Vertical wind profile distribution within canopy layer based on representative geometry model using wind tunnel experiment [PDF]
Scientific ReportsThis study examined the mean and turbulent wind speed distribution within the canopy height of a tropical urban campus based on a representative geometry model via wind tunnel experiments.
S. A. Zaki +5 more
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Stronger and prolonged El Niño-Southern Oscillation in the Early Eocene warmth [PDF]
Nature CommunicationsThe El Niño Southern Oscillation (ENSO) during the Early Eocene Climatic Optimum (EECO, 56–48 million years ago) is investigated using a multi-model ensemble of deep-time climate simulations. We reveal that ENSO sea surface temperature variability during
S. Abhik +11 more
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Imputing Phylogenetic Trees Using Tropical Polytopes over the Space of Phylogenetic Trees
Mathematics, 2023 When we apply comparative phylogenetic analyses to genome data, it poses a significant problem and challenge that some of the given species (or taxa) often have missing genes (i.e., data).
Ruriko Yoshida
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Clustering Methods over the Tropical Projective Torus
Mathematics, 2023 In this paper, we propose clustering methods for use on data described as tropically convex. Our approach is similar to clustering methods used in the Euclidean space, where we identify groupings of similar observations using tropical analogs of K-means ...
David Barnhill, Ruriko Yoshida
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Phylogenetic trees and the tropical geometry of flag varieties [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We will discuss some recent theorems relating the space of weighted phylogenetic trees to the tropical varieties of each flag variety of type A. We will also discuss the tropicalizations of the functions corresponding to semi-standard tableaux, in ...
Christopher Manon
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Discrete Mathematics & Theoretical Computer Science, 2020 We introduce and study a special class of ideals over the semiring of tropical polynomials, which we calltropical ideals, with the goal of developing a useful and solid algebraic foundation for tropical geometry.
Diane Maclagan, Felipe Rincón
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Tropical Oriented Matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Tropical oriented matroids were defined by Ardila and Develin in 2007. They are a tropical analogue of classical oriented matroids in the sense that they encode the properties of the types of points in an arrangement of tropical hyperplanes – in much the
Silke Horn
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Lefschetz (1,1)-theorem in tropical geometry [PDF]
Épijournal de Géométrie Algébrique, 2018 For a tropical manifold of dimension n we show that the tropical homology classes of degree (n-1, n-1) which arise as fundamental classes of tropical cycles are precisely those in the kernel of the eigenwave map.
Philipp Jell, Johannes Rau, Kristin Shaw
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