Accelerated second-order stochastic optimization using only function measurements
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[1] J. Kiefer,et al. Stochastic Estimation of the Maximum of a Regression Function , 1952 .
[2] J. Blum. Approximation Methods which Converge with Probability one , 1954 .
[3] J. Sacks. Asymptotic Distribution of Stochastic Approximation Procedures , 1958 .
[4] F. Downton. Stochastic Approximation , 1969, Nature.
[5] M. T. Wasan. Stochastic Approximation , 1969 .
[6] R. Laha. Probability Theory , 1979 .
[7] R. Shumway,et al. Estimation and tests of hypotheses for the initial mean and covariance in the kalman filter model , 1981 .
[8] Fang-Kuo Sun,et al. A maximum likelihood algorithm for the mean and covariance of nonidentically distributed observations , 1982 .
[9] M. Metivier,et al. Applications of a Kushner and Clark lemma to general classes of stochastic algorithms , 1984, IEEE Trans. Inf. Theory.
[10] D. Ruppert. A Newton-Raphson Version of the Multivariate Robbins-Monro Procedure , 1985 .
[11] S. Evans,et al. On the almost sure convergence of a general stochastic approximation procedure , 1986, Bulletin of the Australian Mathematical Society.
[12] D. Ruppert,et al. Efficient Estimations from a Slowly Convergent Robbins-Monro Process , 1988 .
[13] J. Spall. A stochastic approximation algorithm for large-dimensional systems in the Kiefer-Wolfowitz setting , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.
[14] Pierre Priouret,et al. Adaptive Algorithms and Stochastic Approximations , 1990, Applications of Mathematics.
[15] Boris Polyak,et al. Acceleration of stochastic approximation by averaging , 1992 .
[16] J. Spall. Multivariate stochastic approximation using a simultaneous perturbation gradient approximation , 1992 .
[17] Model-free control of nonlinear stochastic systems in discrete time , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.
[18] J. Spall. Stochastic version of second-order (Newton-Raphson) optimization using only function measurements , 1995, Winter Simulation Conference Proceedings, 1995..
[19] S. Kulkarni,et al. An alternative proof for convergence of stochastic approximation algorithms , 1996, IEEE Trans. Autom. Control..
[20] D. C. Chin,et al. Comparative study of stochastic algorithms for system optimization based on gradient approximations , 1997, IEEE Trans. Syst. Man Cybern. Part B.
[21] J. Dippon,et al. Weighted Means in Stochastic Approximation of Minima , 1997 .
[22] J. L. Maryak. Some guidelines for using iterate averaging in stochastic approximation , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.
[23] J. Spall. Implementation of the simultaneous perturbation algorithm for stochastic optimization , 1998 .