Stochastic First- and Zeroth-Order Methods for Nonconvex Stochastic Programming
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Summary
This paper discusses a variant of the algorithm which consists of applying a post-optimization phase to evaluate a short list of solutions generated by several independent runs of the RSG method, and shows that such modification allows to improve significantly the large-deviation properties of the algorithms.
- Type
- preprint
- Published
- 2013-09-22
- Cited by
- 1,956
- References
- 42
- Access
- Open access
- OpenAlex
- https://openalex.org/W2054959047
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:14112046
Keywords
Stochastic programming, Stochastic optimization, Mathematical optimization, Convergence (economics), Class (philosophy)
References
- Problem Complexity and Method Efficiency in Optimization
- Large Deviations of Vector-valued Martingales in 2-Smooth Normed Spaces
- Gradient Estimation Via Perturbation Analysis
- Boosting Algorithms as Gradient Descent in Function Space
- Confidence level solutions for stochastic programming
- The Sample Average Approximation Method for Stochastic Discrete Optimization
- Robust Stochastic Approximation Approach to Stochastic Programming
- A Stochastic Approximation Method
- Smoothing and worst-case complexity for direct-search methods in nonsmooth optimization
- Online dictionary learning for sparse coding
- Validation analysis of mirror descent stochastic approximation method
- An optimal method for stochastic composite optimization
- Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method
- Worst case complexity of direct search
- On the Oracle Complexity of First-Order and Derivative-Free Algorithms for Smooth Nonconvex Minimization
- On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems
- Optimal Stochastic Approximation Algorithms for Strongly Convex Stochastic Composite Optimization I: A Generic Algorithmic Framework
- Discrete Event Systems: Sensitivity Analysis and Stochastic Optimization by the Score Function Method
- Learning by mirror averaging
- Introduction to Stochastic Search and Optimization. Estimation, Simulation, and Control (Spall, J.C.; 2003) [book review]
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- The Complexity of Large-scale Convex Programming under a Linear Optimization Oracle
- Convergence rates for pretraining and dropout: Guiding learning parameters using network structure
- A nonmonotone learning rate strategy for SGD training of deep neural networks
- Simple Complexity Analysis of Simplified Direct Search
- Convergence of gradient based pre-training in Denoising autoencoders
- Simple Complexity Analysis of Direct Search
- STOCHASTIC GRADIENT METHODS FOR UNCONSTRAINED OPTIMIZATION
- Stochastic Block Mirror Descent Methods for Nonsmooth and Stochastic Optimization
- Accelerated gradient methods for nonconvex nonlinear and stochastic programming
- Convergence of Trust-Region Methods Based on Probabilistic Models
- Penalty methods with stochastic approximation for stochastic nonlinear programming
- Global convergence rate analysis of unconstrained optimization methods based on probabilistic models
- Optimal Rates for Zero-Order Convex Optimization: The Power of Two Function Evaluations
- Multiple Optimality Guarantees in Statistical Learning
- Randomized Derivative-Free Optimization of Noisy Convex Functions
- On Accelerated Gradient Approximation for Least Square Regression with L1-Regularization
- DiFacto: Distributed Factorization Machines
- Conditional gradient type methods for composite nonlinear and stochastic optimization
- Iteration Bounds for Finding the ε-Stationary Points for Structured Nonconvex Optimization
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