@article{iiasa13482, volume = {39}, number = {5}, title = {Solution of Nonconvex Nonsmooth Stochastic Optimization Problems}, publisher = {Springer}, journal = {Cybernetics and Systems Analysis}, doi = {10.1023/B:CASA.0000012091.84864.65}, pages = {701--715}, year = {2003}, keywords = {Nonconvex optimization problems; Nonsmooth functions; Stochastic programming; Stochastic quasigradient; Uncertainty}, url = {https://pure.iiasa.ac.at/id/eprint/13482/}, issn = {1060-0396}, abstract = {Different classes of nonconvex nonsmooth stochastic optimization problems are analyzed, their generalized differentiability properties and necessary optimality conditions are studied, and a technique for calculating stochastic gradients is developed. For each class of the problems, corresponding solution methods are proposed, in particular, generalizations of the stochastic quasigradient method.}, author = {Ermoliev, Y. and Norkin, V. I.} }