
SnapPea
 Referenced in 158 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 259 articles
[sw04244]
 code PITCON and simplicial approximation of manifolds are contained. (netlib contin...

Dynamics
 Referenced in 177 articles
[sw09100]
 diagrams, the search for stable and unstable manifolds, the calculation of dimensions and Lyapunov exponents...

Manopt
 Referenced in 105 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...

SnapPy
 Referenced in 123 articles
[sw06874]
 studying the topology and geometry of 3manifolds, with a focus on hyperbolic structures...

DIMSYM
 Referenced in 73 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...

tSNE
 Referenced in 101 articles
[sw22300]
 several different, but related, lowdimensional manifolds, such as images ofobjects from multiple classes seen...

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...

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...

Regina
 Referenced in 40 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...

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 36 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 35 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 30 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...

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

Pymanopt
 Referenced in 17 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...

NeNMF
 Referenced in 31 articles
[sw17586]
 used to solve norm, norm and manifold regularized NMF with the optimal convergence rate. Numerical...

rstiefel
 Referenced in 22 articles
[sw11607]
 Random orthonormal matrix generation on the Stiefel manifold. This package simulates random orthonormal matrices from ... quadratic exponential family distributions on the Stiefel manifold. The most general type of distribution covered...

CICY Quotients
 Referenced in 16 articles
[sw31827]
 quotients of complete intersection CalabiYau manifolds have been computed. The data on complete intersection ... CalabiYau manifolds is taken from the original papers Nucl.Phys. B298 (1988) 493 and Nucl.Phys ... freelyacting discrete symmetries of these manifolds have been obtained by V. Braun in JHEP ... gives a list of all 195 Cicy manifolds with freelyacting symmetries in Mathematica format...