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We study constrained nested stochastic optimization problems in which the objective function is a composition of two smooth functions whose exact values and derivatives are not available. We propose a single time-scale stochastic…

Optimization and Control · Mathematics 2019-09-09 Saeed Ghadimi , Andrzej Ruszczyński , Mengdi Wang

We introduce a new approach to develop stochastic optimization algorithms for a class of stochastic composite and possibly nonconvex optimization problems. The main idea is to combine two stochastic estimators to create a new hybrid one. We…

Optimization and Control · Mathematics 2020-05-05 Quoc Tran-Dinh , Nhan H. Pham , Dzung T. Phan , Lam M. Nguyen

This paper concerns a high-dimensional stochastic programming problem of minimizing a function of expected cost with a matrix argument. To this problem, one of the most widely applied solution paradigms is the sample average approximation…

Optimization and Control · Mathematics 2019-07-22 Hongcheng Liu , Charles Hernandez , Hung Yi Lee

Motivated by emerging applications in machine learning, we consider an optimization problem in a general form where the gradient of the objective function is available through a biased stochastic oracle. We assume a bias-control parameter…

Optimization and Control · Mathematics 2026-02-10 Yin Liu , Sam Davanloo Tajbakhsh

This paper considers the problem of minimizing a convex expectation function with a set of inequality convex expectation constraints. We present a computable stochastic approximation type algorithm, namely the stochastic linearized proximal…

Optimization and Control · Mathematics 2022-06-16 Liwei Zhang , Yule Zhang , Jia Wu , Xiantao Xiao

Supplier selection and order allocation (SSOA) are key strategic decisions in supply chain management which greatly impact the performance of the supply chain. Although, the SSOA problem has been studied extensively but less attention paid…

Computational Engineering, Finance, and Science · Computer Science 2023-01-03 Vinod Kumar Chauhan , Stephen Mak , Ajith Kumar Parlikad , Muhannad Alomari , Linus Casassa , Alexandra Brintrup

In networks, there are often more than one source of capacity. The capacities can be permanently or temporarily owned by the decision maker. Depending on the nature of sources, we identify the permanent capacity, spot market capacity and…

Optimization and Control · Mathematics 2017-02-10 Majid Taghavi , Kai Huang

We address distributed learning problems, both nonconvex and convex, over undirected networks. In particular, we design a novel algorithm based on the distributed Alternating Direction Method of Multipliers (ADMM) to address the challenges…

Machine Learning · Computer Science 2026-03-23 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

This paper considers facility location problems in which a firm entering a market seeks to open facilities on a subset of candidate locations so as to maximize its expected market share, assuming that customers choose the available…

Optimization and Control · Mathematics 2024-02-19 Robin Legault , Emma Frejinger

Formulating real-world optimization problems often begins with making predictions from historical data (e.g., an optimizer that aims to recommend fast routes relies upon travel-time predictions). Typically, learning the prediction model…

Machine Learning · Computer Science 2021-12-20 Chris Cameron , Jason Hartford , Taylor Lundy , Kevin Leyton-Brown

Motivated by stochastic optimization, we introduce the problem of learning from samples of contextual value distributions. A contextual value distribution can be understood as a family of real-valued distributions, where each sample…

Machine Learning · Computer Science 2025-05-23 Anna Heuser , Thomas Kesselheim

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

Optimization and Control · Mathematics 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina

We study the strategic decision-making problem of assigning time windows to customers in the context of vehicle routing applications that are affected by operational uncertainty. This problem, known as the Time Window Assignment Vehicle…

Optimization and Control · Mathematics 2018-10-11 Anirudh Subramanyam , Akang Wang , Chrysanthos E. Gounaris

The stochastic knapsack problem is the stochastic variant of the classical knapsack problem in which the algorithm designer is given a a knapsack with a given capacity and a collection of items where each item is associated with a profit…

Data Structures and Algorithms · Computer Science 2017-12-05 Anindya De

Managing stock efficiently remains a core issue in modern logistics, where companies must reconcile cost efficiency with dependable service despite unpredictable market conditions. Conventional models often overlook the direct connection…

Optimization and Control · Mathematics 2026-04-14 Tianxiao Sun , Noah Schwarzkopf

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

Machine Learning · Statistics 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete

In this paper, a stochastic approximation (SA) based distributed algorithm is proposed to solve the resource allocation (RA) with uncertainties. In this problem, a group of agents cooperatively optimize a separable optimization problem with…

Optimization and Control · Mathematics 2016-11-01 Peng Yi , Jinlong Lei , Yiguang Hong

This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

Optimization and Control · Mathematics 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal

In this paper we introduce a class of novel distributed algorithms for solving stochastic big-data convex optimization problems over directed graphs. In the addressed set-up, the dimension of the decision variable can be extremely high and…

Optimization and Control · Mathematics 2020-10-06 Francesco Farina , Giuseppe Notarstefano

In this paper, we consider the alignment between an upstream dimensionality reduction task of learning a low-dimensional representation of a set of high-dimensional data and a downstream optimization task of solving a stochastic program…

Machine Learning · Computer Science 2024-03-13 Long He , Ho-Yin Mak