Registered Data

[CT007]

  • Session Time & Room
    • CT007 (1/1) : 4E @G305 [Chair: Daan Camps]
  • Classification
    • CT007 (1/1) : Linear and multilinear algebra; matrix theory (15-) / Special matrices (15B) / Lie algebras and Lie superalgebras (17B) / Other generalizations of groups (20N)

[00791] FunFact: Tensor Decomposition, Your Way

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G305
  • Type : Contributed Talk
  • Abstract : FunFact simplifies the design of matrix and tensor factorization algorithms. It features a powerful programming interface that augments the NumPy API with Einstein notations for writing concise tensor expressions. Given an arbitrary forward calculation scheme, the package will solve the inverse problem using stochastic gradient descent, automatic differentiation, and multi-replica vectorization. It is GPU- and parallelization-ready thanks to modern numerical linear algebra backends such as JAX/TensorFlow and PyTorch. We demonstrate a variety of use cases.
  • Classification : 15-04, 65F55
  • Format : Talk at Waseda University
  • Author(s) :
    • Daan Camps (Lawrence Berkeley National Laboratory)
    • Yu-Hang Tang (NVIDIA)

[02001] GPU batched sparse solver for XGC fusion plasma collision operator

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G305
  • Type : Contributed Talk
  • Abstract : Batched linear solvers solve many small related but independent problems. They are beneficial for GPUs, which require substantial amounts of work to operate efficiently. The XGC gyrokinetic particle-in-cell code for modeling magnetically confined fusion plasma devices employs a LAPACK CPU solver for the collision operator. We describe how Ginkgo's batched solver can be integrated into the collision operator and accelerate the simulation process. We present comparisons for the solve times on A100 GPUs with CPUs.
  • Classification : 15-04, 35-04, 76-10
  • Format : Talk at Waseda University
  • Author(s) :
    • Paul Lin (Lawrence Berkeley National Laboratory)
    • Aditya Kashi (Oak Ridge National Laboratory)
    • Pratik Nayak (Karlsruhe Institute of Technology)
    • Dhruva Kulkarni (Lawrence Berkeley National Laboratory)
    • Aaron Scheinberg (Jubilee Development)
    • Hartwig Anzt (University of Tennessee)

[02429] Differential geometry with extreme eigenvalues in the positive semidefinite cone

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G305
  • Type : Contributed Talk
  • Abstract : Geometric data in convex cones appear in a wide range of applications. Of particular interest is the space of symmetric positive definite (SPD) matrices and a variety of associated geometries that have been successfully exploited in medical imaging, neuroscience, and machine learning. In this talk, I will explore the Hilbert and Thompson geometries associated with SPD matrices and show that they offer a natural route to statistics based on extreme eigenvalues with promising computational properties.
  • Classification : 15B48, 53C22, 53B20, 53B50, 53C80
  • Format : Talk at Waseda University
  • Author(s) :
    • Nathaël Da Costa (Nanyang Technological University)
    • Cyrus Mostajeran (Nanyang Technological University)
    • Rodolphe Sepulchre (University of Cambridge)
    • Graham van Goffrier (University College London)

[02414] Quadratic Lie algebras algorithms applied over oscillator algebras

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G305
  • Type : Contributed Talk
  • Abstract : Quadratic Lie algebras appear in Mathematics and Physics. Main examples are oscillator and generalized oscillator which are related to space-time models and determine some Lie groups with Lorentz metrics or Lorentzian cones. This variety of algebras with bilinear invariant forms can be built using double extensions from a metric vector space via derivations. In this talk we will see an overview of how all these concepts can be algorithmically obtained. Available in our Github repository.
  • Classification : 17B05, 15A63, 17B40, 17B81
  • Format : Talk at Waseda University
  • Author(s) :
    • Jorge Roldán-López (Universidad de La Rioja)
    • Pilar Benito (Universidad de La Rioja)

[02379] Quasigroups with inverse properties and information protection

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G305
  • Type : Contributed Talk
  • Abstract : In connection with the computerization of almost all spheres of life, the need for information protection, and therefore for the development of new encryption methods, has grown rapidly. To quickly decipher the information, it is appropriate to use invertible functions having the property of some invertibility of elements, i.e. quasigroups with inverse properties. We investigate varieties of these quasigroups and propose methods for their constructions and applications.
  • Classification : 20N05, 08B15, 14L30
  • Format : Talk at Waseda University
  • Author(s) :
    • Alla Lutsenko (Vasyl` Stus Donetsk National University)