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PLANC: Parallel Low Rank Approximation with Non-negativity Constraints [article]

Srinivas Eswar, Koby Hayashi, Grey Ballard, Ramakrishnan Kannan, Michael A. Matheson, Haesun Park
2019 arXiv   pre-print
We present a software package called PLANC (Parallel Low Rank Approximation with Non-negativity Constraints), which implements our solution and allows for extension in terms of data (dense or sparse, matrices  ...  to compute the low-rank approximation.  ...  In this paper, we present an open-source software package called Parallel Low-Rank Approximation with Non-negativity Constraints (PLANC) that currently includes six algorithmic options, and we describe  ... 
arXiv:1909.01149v1 fatcat:6lqh5upkujf3fpbd5wucc6wd24

PL-NMF: Parallel Locality-Optimized Non-negative Matrix Factorization [article]

Gordon E. Moon, Aravind Sukumaran-Rajam, Srinivasan Parthasarathy and P. Sadayappan
2019 arXiv   pre-print
Due to the compute-intensive nature of applications that must perform repeated NMF, several parallel implementations have been developed in the past.  ...  In this paper, we devise a parallel NMF algorithm based on the HALS (Hierarchical Alternating Least Squares) scheme that incorporates algorithmic transformations to enhance data locality.  ...  D Number of columns in A and H K Low rank Table 2 : 2 Previous studies on parallelization of NMF Author Machine Platform Algorithm Battenberg et al. [2] do sum ← sum + W _new[v][k] × Q[  ... 
arXiv:1904.07935v1 fatcat:e6brehvipngrhflwvttp7ehyde

CP Decomposition for Tensors via Alternating Least Squares with QR Decomposition [article]

Rachel Minster, Irina Viviano, Xiaotian Liu, Grey Ballard
2021 arXiv   pre-print
Our MATLAB implementation achieves the same running time as the standard algorithm for small ranks, and we show that the new methods can obtain lower approximation error and more reliably recover low-rank  ...  signals from data with known ground truth.  ...  Park, PLANC: Parallel low-rank approximation with nonnegativity constraints, ACM Transactions on Mathematical Software, 47 (2021), https: //doi.org/10.1145/3432185, https://doi.org/10.1145  ... 
arXiv:2112.10855v1 fatcat:di2an34q5zahjboqpoe6cturha

Machine layout: an optimization and knowledge-based approach

SUNDERESH S. HERAGU, ANDREW KUSIAK
1990 International Journal of Production Research  
Às previously mentioned llÀT ranks facility pairs only on the basis of their f low values.  ...  and (14) ensure nonnegativity and constraint (15) imposes integrality.  ... 
doi:10.1080/00207549008942744 fatcat:du3nk7vhjzfpnmglypwbgx2cse