Multilevel Artificial Neural Network Training for Spatially Correlated Learning

DOI10.1137/18M1191506zbMath1423.68391arXiv1806.05703OpenAlexW2982346055MaRDI QIDQ5241254

Eric Mjolsness, Cory B. Scott

Publication date: 30 October 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05703

zbMATH Keywords

classificationneural networksmultigrid methodsimage analysis

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Uses Software

• LAPACK
• Mathematica
• SciPy
• darch
• MNIST
• TensorFlow
• Pymanopt
• Adam
• munkres
• PRMLT

Cites Work

• A feasible method for optimization with orthogonality constraints
• Auto-association by multilayer perceptrons and singular value decomposition
• On minimization on Stiefel manifolds
• Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
• The complexity of the matrix eigenproblem
• Pymanopt: A Python Toolbox for Optimization on Manifolds using Automatic Differentiation
• Reducing the Dimensionality of Data with Neural Networks
• Algorithms for the Assignment and Transportation Problems
• LAPACK Users' Guide
• Parallel Time Integration with Multigrid
• Fibonacci heaps and their uses in improved network optimization algorithms
• A Simplex Method for Function Minimization
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