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most citedGenerative artificial intelligence enhances creativity but reduces the diversity of novel content

714 citations

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7 papers · 1 filter

math.OC2023★ 120 cited

Operational Research: Methods and Applications

Fotios Petropoulos, Gilbert Laporte, Emel Aktas +79

Throughout its history, Operational Research has evolved to include a variety of methods, models and algorithms that have been applied to a diverse and wide range of contexts. This…

math.OC2023★ 6 cited

A Stochastic Benders Decomposition Scheme for Large-Scale Stochastic Network Design

Dimitris Bertsimas, Ryan Cory-Wright, Jean Pauphilet +1

Network design problems involve constructing edges in a transportation or supply chain network to minimize construction and daily operational costs. We study a stochastic version w…

math.OC2022★ 8 cited

Sparse PCA With Multiple Components

Ryan Cory-Wright, Jean Pauphilet

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensio…

math.OC2021★ 8 cited

A new perspective on low-rank optimization

Dimitris Bertsimas, Ryan Cory-Wright, Jean Pauphilet

A key question in many low-rank problems throughout optimization, machine learning, and statistics is to characterize the convex hulls of simple low-rank sets and judiciously apply…

math.OC2020★ 16 cited

Mixed-Projection Conic Optimization: A New Paradigm for Modeling Rank Constraints

Dimitris Bertsimas, Ryan Cory-Wright, Jean Pauphilet

We propose a framework for modeling and solving low-rank optimization problems to certifiable optimality. We introduce symmetric projection matrices that satisfy , the matri…

math.OC2020★ 11 cited

Solving Large-Scale Sparse PCA to Certifiable (Near) Optimality

Dimitris Bertsimas, Ryan Cory-Wright, Jean Pauphilet

Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the…

math.OC2017★ 34 cited

Sparse Classification: a scalable discrete optimization perspective

Dimitris Bertsimas, Jean Pauphilet, Bart Van Parys

We formulate the sparse classification problem of samples with features as a binary convex optimization problem and propose a cutting-plane algorithm to solve it exactly. F…