Abstract
A new methodology for neural learning is presented. Only a single iteration is needed to train a feed-forward network with near-optimal results. This is achieved by introducing a key modification to the conventional multi-layer architecture. A virtual input layer is implemented, which is connected to the nominal input layer by a special nonlinear transfer function, and to the first hidden layer by regular (linear) synapses. A sequence of alternating direction singular value decompositions is then used to determine precisely the inter-layer synaptic weights. This computational paradigm exploits the known separability of the linear (inter-layer propagation) and nonlinear (neuron activation) aspects of information transfer within a neural network. Examples show that the trained neural networks generalize well.
Original language | English |
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Pages (from-to) | 113-129 |
Number of pages | 17 |
Journal | Neural Processing Letters |
Volume | 11 |
Issue number | 2 |
DOIs | |
State | Published - 2000 |
Funding
The research described herein was performed at the Center for Engineering Science Advanced Research, Oak Ridge National Laboratory. Primary funding was provided by the DeepLook Consortium under Agreement Number ERD-97-1506 with Lockheed Martin Energy Research Corporation. Additional funding was provided by the Engineering Research Program of the Office of Basic Energy Sciences under contract DE-AC05-96OR22464 with Lockheed Martin Energy Research Corporation. R. Cogswell's participation was supported by the Great Lakes Colleges Association/Associated Colleges of the Midwest Oak Ridge Science Semester, sponsored by the Office of University Science Education, Oak Ridge National Laboratory. * Research supported by the Engineering Research Program, Office of Basic Energy Sciences, of the U.S. Department of Energy, under contract No. DE-AC05-96OR22464 with Lockheed Martin Energy Research Corporation. The U.S. Government's right to a non-exclusive, royalty-free license in and to any copyright is acknowledged.
Funders | Funder number |
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DeepLook Consortium | ERD-97-1506 |
Lockheed Martin Energy Research Corporation | |
Midwest Oak Ridge Science Semester | |
Office of University | |
U.S. Department of Energy | |
Basic Energy Sciences | DE-AC05-96OR22464 |
Oak Ridge National Laboratory |