#stochastic optimization
7 resultsPricing American Options by Exercise Rate Optimization
Christian Bayer, Raúl Tempone, Sören Wolfers
The paper proposes a Monte‑Carlo based method that optimizes randomized exercise rates to price American options, formulating a differentiable stochastic optimization problem whose…
Stochastic and Simulation-based Models for Setting Flow Rates in Collaborative Trajectory Options Program (CTOP)
Guodong Zhu, Peng Wei, Robert Hoffman +1
The paper studies how to set traffic flow rates in the Collaborative Trajectory Options Program (CTOP) by evaluating stochastic and simulation‑based optimization models, identifyin…
Flexible Demand Resource Pricing Scheme: A Stochastic Benefit-Sharing Approach
Zhaohao Ding, Feng Zhu, Yajing Wang +2
The paper proposes a stochastic, benefit‑sharing pricing scheme for flexible demand resources in microgrids, using chance‑constrained optimization to evaluate economic benefits and…
Algorithms to Approximate Column-Sparse Packing Problems
Brian Brubach, Karthik Abinav Sankararaman, Aravind Srinivasan +1
The paper introduces two techniques—non-uniform attenuation and multiple-chance algorithms—to improve approximation guarantees for column‑sparse packing problems, achieving near‑op…
Inexact Newton Methods for Stochastic Nonconvex Optimization with Applications to Neural Network Training
Thomas O'Leary-Roseberry, Nick Alger, Omar Ghattas
The paper develops stochastic inexact Newton methods for nonconvex optimization and applies them to train convolutional autoencoders on MNIST and CIFAR10, showing faster convergenc…
SVGD: A Virtual Gradients Descent Method for Stochastic Optimization
Zheng Li, Shi Shu
The paper introduces Stochastic Virtual Gradient Descent (SVGD), a memory‑efficient stochastic optimization algorithm that defines gradients via computational graphs and automatic…
Improved Oracle Complexity of Variance Reduced Methods for Nonsmooth Convex Stochastic Composition Optimization
Tianyi Lin, Chenyou Fan, Mengdi Wang
The paper analyzes stochastic compositional variance reduced gradient methods for nonsmooth convex composition problems and proves improved incremental first-order oracle complexit…