A Block-Oriented Language and Runtime System for Tensor Algebra with Very Large Arrays

2010 ◽  
Author(s):  
Beverly A. Sanders ◽  
Rod Bartlett ◽  
Erik Deumens ◽  
Victor Lotrich ◽  
Mark Ponton
Keyword(s):  
Tensor Algebra ◽  
Runtime System

scholarly journals A sparse iteration space transformation framework for sparse tensor algebra

2020 ◽  
Vol 4 (OOPSLA) ◽  
pp. 1-30 ◽  
Author(s):  
Ryan Senanayake ◽  
Changwan Hong ◽  
Ziheng Wang ◽  
Amalee Wilson ◽  
Stephen Chou ◽  
...  
Keyword(s):  
Tensor Algebra ◽  
Iteration Space ◽  
Space Transformation

scholarly journals CONSTRUCTIVE NONCOMMMUTATIVE INVARIANT THEORY

2021 ◽  
Author(s):  
MÁTYÁS DOMOKOS ◽  
VESSELIN DRENSKY
Keyword(s):  
Lie Algebra ◽  
Associative Algebra ◽  
Invariant Theory ◽  
Reductive Group ◽  
Symmetric Tensor ◽  
Free Associative Algebra ◽  
Tensor Algebra ◽  
Enveloping Algebra ◽  
Finite Dimensional ◽  
Degree Bounds

AbstractThe problem of finding generators of the subalgebra of invariants under the action of a group of automorphisms of a finite-dimensional Lie algebra on its universal enveloping algebra is reduced to finding homogeneous generators of the same group acting on the symmetric tensor algebra of the Lie algebra. This process is applied to prove a constructive Hilbert–Nagata Theorem (including degree bounds) for the algebra of invariants in a Lie nilpotent relatively free associative algebra endowed with an action induced by a representation of a reductive group.

scholarly journals Analytical Model of Induction Machines with Multiple Cage Faults Using the Winding Tensor Approach

Sensors ◽  
2021 ◽  
Vol 21 (15) ◽  
pp. 5076
Author(s):  
Javier Martinez-Roman ◽  
Ruben Puche-Panadero ◽  
Angel Sapena-Bano ◽  
Carla Terron-Santiago ◽  
Jordi Burriel-Valencia ◽  
...  
Keyword(s):  
Computational Cost ◽  
Induction Machines ◽  
Diagnostic Techniques ◽  
Analytical Models ◽  
Tensor Algebra ◽  
Diagnostic Systems ◽  
Technical Literature ◽  
Twin Model ◽  
Ring Segment ◽  
The One

Induction machines (IMs) are one of the main sources of mechanical power in many industrial processes, especially squirrel cage IMs (SCIMs), due to their robustness and reliability. Their sudden stoppage due to undetected faults may cause costly production breakdowns. One of the most frequent types of faults are cage faults (bar and end ring segment breakages), especially in motors that directly drive high-inertia loads (such as fans), in motors with frequent starts and stops, and in case of poorly manufactured cage windings. A continuous monitoring of IMs is needed to reduce this risk, integrated in plant-wide condition based maintenance (CBM) systems. Diverse diagnostic techniques have been proposed in the technical literature, either data-based, detecting fault-characteristic perturbations in the data collected from the IM, and model-based, observing the differences between the data collected from the actual IM and from its digital twin model. In both cases, fast and accurate IM models are needed to develop and optimize the fault diagnosis techniques. On the one hand, the finite elements approach can provide highly accurate models, but its computational cost and processing requirements are very high to be used in on-line fault diagnostic systems. On the other hand, analytical models can be much faster, but they can be very complex in case of highly asymmetrical machines, such as IMs with multiple cage faults. In this work, a new method is proposed for the analytical modelling of IMs with asymmetrical cage windings using a tensor based approach, which greatly reduces this complexity by applying routine tensor algebra to obtain the parameters of the faulty IM model from the healthy one. This winding tensor approach is explained theoretically and validated with the diagnosis of a commercial IM with multiple cage faults.

Towards embedded runtime system level optimization for MPSoCs

2009 ◽  
Author(s):  
Theocharis Theocharides ◽  
Maria K. Michael ◽  
Marios Polycarpou ◽  
Ajit Dingankar
Keyword(s):  
System Level ◽  
Runtime System

Flexible Data Redistribution in a Task-Based Runtime System

2020 ◽  
Author(s):  
Qinglei Cao ◽  
George Bosilca ◽  
Wei Wu ◽  
Dong Zhong ◽  
Aurelien Bouteiller ◽  
...  
Keyword(s):  
Runtime System ◽  
Data Redistribution

Reconfigurable vertical profiling framework for the android runtime system

2014 ◽  
Vol 13 (2s) ◽  
pp. 1-25 ◽  
Author(s):  
Tzu-Hsiang Su ◽  
Hsiang-Jen Tsai ◽  
Keng-Hao Yang ◽  
Po-Chun Chang ◽  
Tien-Fu Chen ◽  
...  
Keyword(s):  
Runtime System ◽  
Vertical Profiling

Proposed Runtime System Versus Existing Approaches

2019 ◽  
pp. 193-195
Author(s):  
Igor Schagaev ◽  
Eugene Zouev ◽  
Kaegi Thomas
Keyword(s):  
Runtime System ◽  
System Versus
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