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Sparse Matrix-Matrix Products Executed Through Coloring
SIAM Journal on Matrix Analysis and Applications, 2015Summary: Sparse matrix-matrix products appear in multigrid solvers among other applications. Some implementations of these products require the inner product of two sparse vectors. In this paper, we propose a new algorithm for computing sparse matrix-matrix products by exploiting their nonzero structure through the process of graph coloring.
McCourt, Michael +2 more
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Online Learning for Matrix Factorization and Sparse Coding
Journal of machine learning research, 2009Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics.
J. Mairal, F. Bach, J. Ponce, G. Sapiro
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IEEE Transactions on Parallel and Distributed Systems, 2019
General sparse matrix-sparse matrix multiplication (SpGEMM) is one of the fundamental linear operations in a wide variety of scientific applications.
Yuedan Chen +5 more
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General sparse matrix-sparse matrix multiplication (SpGEMM) is one of the fundamental linear operations in a wide variety of scientific applications.
Yuedan Chen +5 more
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Soft detection of 5-day BOD with sparse matrix in city harbor water using deep learning techniques.
Water Research, 2019To better control and manage harbor water quality is an important mission for coastal cities such as New York City (NYC). To achieve this, managers and governors need keep track of key quality indicators, such as temperature, pH, and dissolved oxygen ...
Jun Ma +4 more
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IA-SpGEMM: an input-aware auto-tuning framework for parallel sparse matrix-matrix multiplication
International Conference on Supercomputing, 2019Sparse matrix-matrix multiplication (SpGEMM) is a sparse kernel that is used in a number of scientific applications. Although several SpGEMM algorithms have been proposed, almost all of them are restricted to the compressed sparse row (CSR) format, and ...
Zhen Xie +3 more
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Design Principles for Sparse Matrix Multiplication on the GPU
European Conference on Parallel Processing, 2018We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.
Carl Yang, A. Buluç, John Douglas Owens
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A User-Friendly Hybrid Sparse Matrix Class in C++
International Congress on Mathematical Software, 2018When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program, requiring explicit
Conrad Sanderson, Ryan R. Curtin
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SPARSE MATRIX–VECTOR MULTIPLICATION
2004Abstract This chapter introduces irregular algorithms and presents the example of parallel sparse matrix-vector multiplication (SpMV), which is the central operation in iterative linear system solvers. The irregular sparsity pattern of the matrix does not change during the multiplication, which may be repeated many times.
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Infrared physics & technology, 2018
Nowadays, some algorithms based on deep learning have drawn increasing attention in hyperspectral image (HSI) analysis. In this paper, we propose spectral-spatial stacked autoencoders based on low-rank and sparse matrix decomposition (LRaSMD-SSSAE) for ...
C. Zhao, Lili Zhang
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Nowadays, some algorithms based on deep learning have drawn increasing attention in hyperspectral image (HSI) analysis. In this paper, we propose spectral-spatial stacked autoencoders based on low-rank and sparse matrix decomposition (LRaSMD-SSSAE) for ...
C. Zhao, Lili Zhang
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Optimizing Sparse Matrix—Matrix Multiplication for the GPU
ACM Transactions on Mathematical Software, 2015Sparse matrix--matrix multiplication (SpGEMM) is a key operation in numerous areas from information to the physical sciences. Implementing SpGEMM efficiently on throughput-oriented processors, such as the graphics processing unit (GPU), requires the programmer to expose substantial fine-grained parallelism while conserving the limited off-chip memory ...
Dalton, Steven +2 more
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