Combining backward and forward recovery to cope with silent errors in iterative solvers

Massimiliano Fasi 1, * Yves Robert 1, 2 Bora Uçar 1, 2
* Auteur correspondant
2 ROMA - Optimisation des ressources : modèles, algorithmes et ordonnancement
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : Several recent papers have introduced a periodic verification mechanism to detect silent errors in iterative solvers. Chen [PPoPP'13, pp. 167–176] has shown how to combine such a verification mechanism (a stability test checking the orthogonality of two vectors and recomputing the residual) with checkpointing: the idea is to verify every d iterations, and to checkpoint every c × d iterations. When a silent error is detected by the verification mechanism, one can rollback to, and re-execute from, the last checkpoint. In this paper, we also propose to combine checkpointing and verification, but we use ABFT rather than stability tests. ABFT can be used for error detection, but also for error detection and correction, allowing a forward recovery (and no rollback nor re-execution) when a single error is detected. We introduce an abstract performance model to compute the performance of all schemes, and we instantiate it using the Conjugate Gradient algorithm. Finally, we validate our new approach through a set of simulations.
Type de document :
Communication dans un congrès
PDSEC2015, May 2015, Hyderabad, India. IEEE CPS, pp.980--989, IPDPSW 2015: 29th IEEE International Parallel & Distributed Processing Symposium Workshops 2015
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Massimiliano Fasi, Yves Robert, Bora Uçar. Combining backward and forward recovery to cope with silent errors in iterative solvers. PDSEC2015, May 2015, Hyderabad, India. IEEE CPS, pp.980--989, IPDPSW 2015: 29th IEEE International Parallel & Distributed Processing Symposium Workshops 2015. 〈hal-01159679〉

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