Add to ORKGInternational audienceNumerous important applications, e.g., high-order FEM simulations, can be expressed through tensors. Examples are computation of FE matrices and SpMV products expressed as generalized tensor contractions. Contractions by the first index can often be represented as tensor index reordering plus gemm, which is a key factor to achieve high-performance. We present ongoing work on the design of a high-performance package in MAGMA for Tensor algebra that includes techniques to organize tensor contractions, data storage, and parametrization related to batched execution of large number of small tensor contractions. We apply auto-tuning and code generation techniques to provide an architecture-aware, user-friendly interface
The majority of physical phenomena and their computational simulations are described mathematically ...
Abstract. Symmetric tensor operations arise in a wide variety of computations. However, the benefits...
International audienceMany numerical algorithms are naturally expressed as operations on tensors (i....
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
AbstractWe present a computational framework for high-performance tensor contractions on GPUs. High-...
AbstractWe present a computational framework for high-performance tensor contractions on GPUs. High-...
This dissertation is concerned with the development of novel high-performance algorithms for tensor ...
This dissertation is concerned with the development of novel high-performance algorithms for tensor ...
140 pagesTensor algebra lives at the heart of big data applications. Where classical machine learnin...
Popular Machine Learning (ML) and High Performance Computing (HPC) workloads contribute to a signifi...
Tensor contraction operations in computational chemistry consume significant fractions of computing ...
Tensors are higher-dimensional analogs of matrices, and represent a key data abstraction for many ap...
The majority of physical phenomena and their computational simulations are described mathematically ...
Abstract. Symmetric tensor operations arise in a wide variety of computations. However, the benefits...
International audienceMany numerical algorithms are naturally expressed as operations on tensors (i....
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
International audienceNumerous important applications, e.g., high-order FEM simulations, can be expr...
AbstractWe present a computational framework for high-performance tensor contractions on GPUs. High-...
AbstractWe present a computational framework for high-performance tensor contractions on GPUs. High-...
This dissertation is concerned with the development of novel high-performance algorithms for tensor ...
This dissertation is concerned with the development of novel high-performance algorithms for tensor ...
140 pagesTensor algebra lives at the heart of big data applications. Where classical machine learnin...
Popular Machine Learning (ML) and High Performance Computing (HPC) workloads contribute to a signifi...
Tensor contraction operations in computational chemistry consume significant fractions of computing ...
Tensors are higher-dimensional analogs of matrices, and represent a key data abstraction for many ap...
The majority of physical phenomena and their computational simulations are described mathematically ...
Abstract. Symmetric tensor operations arise in a wide variety of computations. However, the benefits...
International audienceMany numerical algorithms are naturally expressed as operations on tensors (i....