A Stochastic Subgradient Method for Nonsmooth Nonconvex Multilevel Composition Optimization
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[1] Haim Brezis,et al. Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations , 1971 .
[2] Yu. M. Yermol'yev. A General Stochastic Programming Problem , 1971 .
[3] F. Clarke. Generalized gradients and applications , 1975 .
[4] Lennart Ljung,et al. Analysis of recursive stochastic algorithms , 1977 .
[5] R. Mifflin. Semismooth and Semiconvex Functions in Constrained Optimization , 1977 .
[6] Harold J. Kushner,et al. wchastic. approximation methods for constrained and unconstrained systems , 1978 .
[7] Vladimir I. Norkin,et al. Generalized-differentiable functions , 1980 .
[8] F. Clarke. Generalized gradients of Lipschitz functionals , 1981 .
[9] Andrzej Ruszczyński,et al. A method of feasible directions for solving nonsmooth stochastic programming problems , 1986 .
[10] Andrzej Ruszczynski,et al. A Linearization Method for Nonsmooth Stochastic Programming Problems , 1987, Math. Oper. Res..
[11] Harold J. Kushner,et al. Stochastic Approximation Algorithms and Applications , 1997, Applications of Mathematics.
[12] Philippe Artzner,et al. Coherent Measures of Risk , 1999 .
[13] Wlodzimierz Ogryczak,et al. From stochastic dominance to mean-risk models: Semideviations as risk measures , 1999, Eur. J. Oper. Res..
[14] Wlodzimierz Ogryczak,et al. On consistency of stochastic dominance and mean–semideviation models , 2001, Math. Program..
[15] H. Föllmer,et al. Stochastic Finance: An Introduction in Discrete Time , 2002 .
[16] Josef Hofbauer,et al. Stochastic Approximations and Differential Inclusions , 2005, SIAM J. Control. Optim..
[17] Josef Hofbauer,et al. Stochastic Approximations and Differential Inclusions, Part II: Applications , 2006, Math. Oper. Res..
[18] Adrian S. Lewis,et al. Clarke Subgradients of Stratifiable Functions , 2006, SIAM J. Optim..
[19] V. Borkar. Stochastic Approximation: A Dynamical Systems Viewpoint , 2008 .
[20] Alexander Shapiro,et al. Lectures on Stochastic Programming: Modeling and Theory , 2009 .
[21] Angelia Nedic,et al. Regularized Iterative Stochastic Approximation Methods for Stochastic Variational Inequality Problems , 2013, IEEE Transactions on Automatic Control.
[22] Yuri M. Ermoliev,et al. Sample Average Approximation Method for Compound Stochastic Optimization Problems , 2013, SIAM J. Optim..
[23] Saeed Ghadimi,et al. Stochastic First- and Zeroth-Order Methods for Nonconvex Stochastic Programming , 2013, SIAM J. Optim..
[24] Dmitriy Drusvyatskiy,et al. Curves of Descent , 2012, SIAM J. Control. Optim..
[25] A. Ruszczynski,et al. Statistical estimation of composite risk functionals and risk optimization problems , 2015, 1504.02658.
[26] Mengdi Wang,et al. Accelerating Stochastic Composition Optimization , 2016, NIPS.
[27] Mengdi Wang,et al. Stochastic compositional gradient descent: algorithms for minimizing compositions of expected-value functions , 2014, Mathematical Programming.
[28] Alfredo N. Iusem,et al. Extragradient Method with Variance Reduction for Stochastic Variational Inequalities , 2017, SIAM J. Optim..
[29] É. Moulines,et al. Analysis of nonsmooth stochastic approximation: the differential inclusion approach , 2018, 1805.01916.
[30] Feng Ruan,et al. Stochastic Methods for Composite and Weakly Convex Optimization Problems , 2017, SIAM J. Optim..
[31] Dmitriy Drusvyatskiy,et al. Stochastic model-based minimization of weakly convex functions , 2018, SIAM J. Optim..
[32] Mengdi Wang,et al. Multilevel Stochastic Gradient Methods for Nested Composition Optimization , 2018, SIAM J. Optim..
[33] Andrzej Ruszczynski,et al. Convergence of a stochastic subgradient method with averaging for nonsmooth nonconvex constrained optimization , 2019, Optimization Letters.
[34] Dmitriy Drusvyatskiy,et al. Stochastic Subgradient Method Converges on Tame Functions , 2018, Foundations of Computational Mathematics.
[35] Saeed Ghadimi,et al. A Single Timescale Stochastic Approximation Method for Nested Stochastic Optimization , 2018, SIAM J. Optim..