Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text ...
Functional implications of genome topology. Nat. Struct. Mol. Biol. 20, 290–299 (2013). Article CAS Google Scholar Dixon, J.R. et al. Topological domains in mammalian genomes identified by analysis of chromatin interactions. Nature 485, 376–380 (2012). Article CAS Google Scholar Nora,...
Journal of Applied and Computational Topology is devoted to the intersection of algebraic and combinatorial topology with sciences and engineering. Explores the use of topological methods in various scientific and engineering research fields. Presents both theoretical research and applied methods. Caters to...
Single-cell RNA sequencing (scRNA-seq) is a popular and powerful technology that allows you to profile the whole transcriptome of a large number of individual cells. However, the analysis of the large volumes of data generated from these experiments requires specialized statistical and computational ...
suggested using machine learning. convex and discrete geometry differential geometry global analysis and analysis on manifolds mathematics measure and integration topology use our pre-submission checklist avoid common mistakes on your manuscript. 1 introduction data in many scientific applications are often ob...
Discretizations of Exterior Calculus for Analysis, Geometry and Topology computational-mathematicspartial-differential-equationsapplied-mathematicsnumerical-methodsnumerical-analysis UpdatedMar 3, 2021 C++ A simple Fortran program of Discontinuous Galerkin method(no Limiter now) solving 2D Euler Equation with the...
1.1.2 Topology optimization Topology optimization (TO) has recently been introduced to the field of nanophotonics, after being widely used in numerous fields for the design of physical systems and mechanical structures [14,15]. It is defined by the allocation of material either existing or not at...
The true cell topology is bifurcating. For negative and positive controls, we included the trajectories constructed on the original dataset with 20% doublets and its cleaned version without doublets. (B) Trajectories constructed by MST after each of the eight doublet-detection methods were applied ...
- computational topology, discrete differential geometry, geometric probability, and real algebraic geometry. The journal also accepts papers with a distinct geometric flavor in such areas as graph theory, mathematical programming, combinatorial optimization, algebraic geometry, geometry of numbers, crystallogr...
The graph convolutional network (GCN) is a go-to solution for machine learning on graphs, but its training is notoriously difficult to scale both in terms