Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/9FBFF227-DC43-4975-95E9-2589F7F407A4 | ||
| Year | 2018 | ||
| Type of Item | Conference Full Paper | ||
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| Bibliographic Citation | P. A. Karakasis and A. P. Liavas, "Alternating optimization for tensor factorization with orthogonality constraints: algorithm and parallel implementation," in 16th International Conference on High Performance Computing and Simulation, 2018, pp. 439-444. doi: 10.1109/HPCS.2018.00076 https://doi.org/10.1109/HPCS.2018.00076 | ||
| Appears in Collections |
We consider the problem of tensor factorization in the cases where one of the factors is constrained to have orthonormal columns. We adopt the alternating optimization framework and derive an efficient algorithm that is also suitable for parallel implementation. We describe in detail a distributed memory implementation of the algorithm on a three-dimensional processor grid. The speedup attained by a message-passing implementation of the algorithm is significant, indicating that it is a competitive candidate for the solution of very large tensor factorization problems with orthogonality constraints.
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