
SnapPea
 Referenced in 163 articles
[sw06873]
 program for creating and studying hyperbolic 3manifolds. Each noncompact (or cusped) hyperbolic 3manifold ... census is given for all hyperbolic 3manifolds which can be obtained by gluing ... seven ideal tetrahedra. There are 6075 such manifolds, 4815 of them are orientable ... manifolds obained from four or fewer tetrahedra are listed in an appendix to the paper...

PITCON
 Referenced in 260 articles
[sw04244]
 code PITCON and simplicial approximation of manifolds are contained. (netlib contin...

Manopt
 Referenced in 117 articles
[sw08493]
 Manopt, a Matlab toolbox for optimization on manifolds. Optimization on manifolds is a rapidly developing ... efficient numerical algorithms. In particular, optimization on manifolds is wellsuited to deal with rank...

Dynamics
 Referenced in 179 articles
[sw09100]
 diagrams, the search for stable and unstable manifolds, the calculation of dimensions and Lyapunov exponents...

tSNE
 Referenced in 159 articles
[sw22300]
 several different, but related, lowdimensional manifolds, such as images ofobjects from multiple classes seen...

SnapPy
 Referenced in 138 articles
[sw06874]
 studying the topology and geometry of 3manifolds, with a focus on hyperbolic structures...

DIMSYM
 Referenced in 74 articles
[sw04279]
 fields or differential forms on finite dimensional manifolds, symmetries of geometric objects (eg, isometries ... that all the machinery of calculus on manifolds can be utilised from within the program...

GAIO
 Referenced in 92 articles
[sw04306]
 used to compute invariant sets, invariant manifolds, invariant measures and almost invariant sets in dynamical...

Edgebreaker
 Referenced in 53 articles
[sw04117]
 Table. It represents the connectivity of any manifold mesh as two tables ... Edgebreaker algorithm has been adapted to manifold meshes with holes and handles, to nontriangle ... meshes, and to nonmanifold meshes. A CornerTable implementation of these will be described...

Regina
 Referenced in 43 articles
[sw04862]
 software package for studying 3manifold triangulations and normal surfaces. It includes a graphical user ... decomposition. par This paper brings 3manifold topologists uptodate with Regina...

Snap
 Referenced in 30 articles
[sw20131]
 Snap for 3Manifolds. Snap is a computer program for studying arithmetic invariants of hyperbolic ... manifolds. It is based on Jeff Weeks’ program SnapPea for studying hyperbolic 3manifolds ... compute invariant trace fields and related 3manifold invariants. See the paper, Computing arithmetic invariants ... manifolds by Coulson, Goodman, Hodgson and Neumann, Experimental Mathematics Vol.9 (2000) Issue 1 for more...

MANIFOLD
 Referenced in 30 articles
[sw02900]
 semantics for the controldriven coordination language MANIFOLD Coordination languages are a new class ... called controldriven coordination, is supported by MANIFOLD. We present the formal semantics ... kernel of MANIFOLD, based on a twolevel transition system model: the first level ... behavior of each single component in a MANIFOLD system, whereas the second level captures their...

RTRMC
 Referenced in 39 articles
[sw20435]
 completion via preconditioned optimization on the Grassmann manifold. We address the numerical problem of recovering ... unconstrained optimization problem on a single Grassmann manifold. We then apply secondorder Riemannian trust...

RMMEDA
 Referenced in 38 articles
[sw08554]
 piecewise continuous (m  1)D manifold, where m is the number of objectives. Based ... piecewise continuous manifold. The local principal component analysis algorithm is used for building such...

xTensor
 Referenced in 33 articles
[sw04984]
 permutations of indices, defined on several different manifolds and products of them. It computes covariant ... presence of a metric in each manifold and defines all the associated tensors (Riemann, Ricci...

Pymanopt
 Referenced in 24 articles
[sw17844]
 Pymanopt: a python toolbox for optimization on manifolds using automatic differentiation. Optimization on manifolds ... constraints admits the structure of a differentiable manifold. While many optimization problems ... pymanopt.github.io}), a toolbox for optimization on manifolds, implemented in Python, that  similarly to the Manopt ... Matlab toolbox  implements several manifold geometries and optimization algorithms. Moreover, we lower the barriers...

UMAP
 Referenced in 26 articles
[sw34900]
 UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction. UMAP (Uniform Manifold Approximation and Projection ... novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based...

SG
 Referenced in 36 articles
[sw20599]
 controls of Geomview for displaying polygonal 2manifolds. Figure SG is designed to mimic...

QuadCover
 Referenced in 24 articles
[sw40569]
 global parameterizations on arbitrary simplicial 2manifolds, whose parameter lines are guided by a given ... branched covering of the 2manifold and generates an integrable vector field by a Hodge...

NeNMF
 Referenced in 33 articles
[sw17586]
 used to solve norm, norm and manifold regularized NMF with the optimal convergence rate. Numerical...