Neural networks for linear inverse problems with incomplete data especially in applications to signal and image reconstruction

Neurocomputing - Tập 8 - Trang 7-41 - 1995
A. Cichocki1, R. Unbehauen1, M. Lendl1, K. Weinzierl1
1Lehrstuhl für Allgemeine und Theoretische Elektrotechnik, University Erlangen-Nürnberg, Cauerstrasse 7, D-91058. Erlangen, Germany

Tài liệu tham khảo

Hopfield, 1984, Neurons with graded response have collective computation properties like those of two-state neurons, 81, 3088 Tank, 1986, Simple ‘neural’ optimization networks: an A/A converter, signal decision circuits, and a linear programming circuit, IEEE Trans. Circuits Syst., CAS-33, 533, 10.1109/TCS.1986.1085953 Kennedy, 1988, Neural networks for nonlinear programming, IEEE Trans. Circuits Syst., CAS-35, 554, 10.1109/31.1783 Marrian, 1989, Electronic ‘neural’ net algorithm for maximum entropy solution of ill-posed problems, IEEE Trans. Circuits Syst., 36, 209, 10.1109/31.20208 Grossberg, 1988, Nonlinear neural networks principles, mechanisms and architectures, Neural Networks, 1, 17, 10.1016/0893-6080(88)90021-4 Carpenter, 1987, A massively parallel architecture for a self-organizing neural pattern recognition machine, Computer Vision, Graphics Image Processing, 37, 54, 10.1016/S0734-189X(87)80014-2 Smith, 1989, Practical design analysis of a simple ‘neural’ optimization circuit, IEEE Trans. Circuits Syst., 36, 42, 10.1109/31.16562 Zhou, 1988, Image restoration using a neural net, IEEE Trans. Acoustics Speech Signal Processing, 36, 1141, 10.1109/29.1641 Ingman, 1992, Maximum entropy signal reconstruction with neural networks, IEEE Trans. Neural Networks, 3, 195, 10.1109/72.125860 Widrow, 1990, 30 years of adaptive neural networks: Perceptron, Madaline and backpropagation, 78, 1415 Cichocki, 1993 Cichocki, 1992, Neural networks for solving systems of linear equations and related problems, IEEE Trans. Circuits Syst., 39, 124, 10.1109/81.167018 Cichocki, 1992, Architectures for analog VLSI implementation of neural networks for solving linear equations with inequality constraints Cichocki, 1991, Switched capacitor neural networks for differential optimization, Int. J. Circuit Theory Appl., 19, 161, 10.1002/cta.4490190205 Cichocki, 1990, Switched capacitor artificial neural networks for nonlinear optimization with constraints, 2809 Cichocki, 1992, Neural networks for solving systems of linear equations — Part II: Minimax and least absolute value problems, IEEE Trans. Circuits Syst.-II, Analog and Digital Signal Processing, 39, 619, 10.1109/82.193316 Cichocki, 1992, Neural networks for computing eigenvalues and eigenvectors, Biol. Cybernet., 68, 155, 10.1007/BF00201437 Cichocki, 1991, Winner-take-all neural network and its application to minimax optimization problems, Electronics Lett., 27, 2026, 10.1049/el:19911255 A. Cichocki and R. Unbehauen, Simplified artificial neural networks for solving linear least squares and total least squares problems in real time, IEEE Trans. Neural Networks (accepted for publication). Herman, 1980 1991 Rosenfield, 1981, vol. 1 Kak, 1987 Madych, 1991, On underdetermined systems, 541 Lu, 1992, Projection iterative reconstruction technique and optoelectronic implementation, 2469 Wang, 1992, Multicriterion maximum entropy image reconstruction from projection, IEEE Trans. Medical Imaging, 11, 70, 10.1109/42.126912 Frieden, 1985, Maximum bounded entropy: Application to tomographic reconstruction, Appl. Opt., 24, 201, 10.1364/AO.24.000201 Censor, 1989, On iterative methods for linearly constrained entropy maximization, Vol. XXIV, 147 Zala, 1985, Comparison of algorithms for high resolution deconvolution of array beamforming output, vol. 14, 699 Levy, 1981, Reconstruction of a sparse spike train from a portion of its amplitude spectrum and application to high resolution deconvolution, Geophysics, 46, 1235, 10.1190/1.1441261 1992 Martinelli, 1986, Spectral estimation by repetitive L1-norm minimization, 74, 523 Cadzow, 1973, Functional analysis of the optimal control of linear discrete systems, Int. J. Control, 17, 481, 10.1080/00207177308932396 LaSalle, 1986 Alspector, 1991, A VLSI efficient technique for generating multiple uncorrelated noise sources and its application to stochastic neural networks, IEEE Trans. Circuits Syst., 38, 109, 10.1109/31.101308 Unbehauen, 1989 Takefuji, 1992 Osowski, 1993, Neural networks in interpolation problems, Neurocomputing, 5, 105, 10.1016/0925-2312(93)90031-W Dax, 1990, The convergence of linear stationary iterative process for solving singular unstructured systems of linear equations, SIAM Rev., 32, 611, 10.1137/1032122 Lillo, 1993, Neural networks for constrained optimization problems, Int. J. Circuit Theory and Appl., 21, 385, 10.1002/cta.4490210408