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Publications

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  • All HBS Web  (135)
    • News  (14)
    • Research  (104)
    • Events  (2)
  • Faculty Publications  (45)

Show Results For

  • All HBS Web  (135)
    • News  (14)
    • Research  (104)
    • Events  (2)
  • Faculty Publications  (45)
Page 1 of 135 Results →
  • January 2014
  • Article

Pareto Efficiency in Robust Optimization

By: Dan Iancu and Nikolaos Trichakis
This paper formalizes and adapts the well-known concept of Pareto efficiency in the context of the popular robust optimization (RO) methodology for linear optimization problems. We argue that the classical RO paradigm need not produce solutions that possess the... View Details
Keywords: Robust Optimization; Pareto Optimality; Resource Allocation; Game Theory
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Iancu, Dan, and Nikolaos Trichakis. "Pareto Efficiency in Robust Optimization." Management Science 60, no. 1 (January 2014): 130–147.
  • July–August 2011
  • Article

Robust Optimization Made Easy with ROME

By: Joel Goh and Melvyn Sim
We introduce ROME, an algebraic modeling toolbox for a class of robust optimization problems. ROME serves as an intermediate layer between the modeler and optimization solver engines, allowing modelers to express robust optimization problems in a mathematically... View Details
Keywords: Robust Optimization; Algebraic Modeling Toolbox; MATLAB; Stochastic Programming; Decision Rules; Inventory Control; PERT; Project Management; Portfolio Optimization; Information Technology; Mathematical Methods; Operations
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Goh, Joel, and Melvyn Sim. "Robust Optimization Made Easy with ROME." Operations Research 59, no. 4 (July–August 2011): 973–985.
  • 2020
  • Working Paper

Designing, Not Checking, for Policy Robustness: An Example with Optimal Taxation

By: Benjami Lockwood, Afras Y. Sial and Matthew C. Weinzierl
Economists typically check the robustness of their results by comparing them across plausible ranges of parameter values and model structures. A preferable approach to robustness—for the purposes of policymaking and evaluation—is to design policy that takes these... View Details
Keywords: Optimal Taxation; Robust Optimization; Taxation; Income; Policy; Design
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Lockwood, Benjami, Afras Y. Sial, and Matthew C. Weinzierl. "Designing, Not Checking, for Policy Robustness: An Example with Optimal Taxation." NBER Working Paper Series, No. 28098, November 2020.
  • Article

Portfolio Value-at-Risk Optimization for Asymmetrically Distributed Asset Returns

By: Joel Goh, Kian Guan Lim, Melvyn Sim and Weina Zhang
We propose a new approach to portfolio optimization by separating asset return distributions into positive and negative half-spaces. The approach minimizes a newly-defined Partitioned Value-at-Risk (PVaR) risk measure by using half-space statistical information. Using... View Details
Keywords: Robust Optimization; Portfolio Management; Value-at-risk; Mathematical Methods; Finance
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Goh, Joel, Kian Guan Lim, Melvyn Sim, and Weina Zhang. "Portfolio Value-at-Risk Optimization for Asymmetrically Distributed Asset Returns." European Journal of Operational Research 221, no. 2 (September 1, 2012): 397–406.
  • Article

Distributionally Robust Optimization and Its Tractable Approximations

By: Joel Goh and Melvyn Sim
In this paper we focus on a linear optimization problem with uncertainties, having expectations in the objective and in the set of constraints. We present a modular framework to obtain an approximate solution to the problem that is distributionally robust and more... View Details
Keywords: Information Technology; Mathematical Methods; Operations
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Goh, Joel, and Melvyn Sim. "Distributionally Robust Optimization and Its Tractable Approximations." Operations Research 58, no. 4 (pt.1) (July–August 2010): 902–917.
  • 2021
  • Article

Designing, Not Checking, for Policy Robustness: An Example with Optimal Taxation

By: Benjamin B. Lockwood, Afras Sial and Matthew C. Weinzierl
Economists typically check the robustness of their results by comparing them across plausible ranges of parameter values and model structures. A preferable approach to robustness—for the purposes of policymaking and evaluation—is to design policy that takes these... View Details
Keywords: Optimal Taxation; Income Tax; Social Welfare; Elasticity; Income; Taxation; Policy
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Lockwood, Benjamin B., Afras Sial, and Matthew C. Weinzierl. "Designing, Not Checking, for Policy Robustness: An Example with Optimal Taxation." Tax Policy and the Economy 35 (2021).
  • Article

Robust and Stable Black Box Explanations

By: Himabindu Lakkaraju, Nino Arsov and Osbert Bastani
As machine learning black boxes are increasingly being deployed in real-world applications, there has been a growing interest in developing post hoc explanations that summarize the behaviors of these black boxes. However, existing algorithms for generating such... View Details
Keywords: Machine Learning; Black Box Models; Framework
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Lakkaraju, Himabindu, Nino Arsov, and Osbert Bastani. "Robust and Stable Black Box Explanations." Proceedings of the International Conference on Machine Learning (ICML) 37th (2020): 5628–5638. (Published in PMLR, Vol. 119.)
  • 2023
  • Article

Probabilistically Robust Recourse: Navigating the Trade-offs between Costs and Robustness in Algorithmic Recourse

By: Martin Pawelczyk, Teresa Datta, Johannes van-den-Heuvel, Gjergji Kasneci and Himabindu Lakkaraju
As machine learning models are increasingly being employed to make consequential decisions in real-world settings, it becomes critical to ensure that individuals who are adversely impacted (e.g., loan denied) by the predictions of these models are provided with a means... View Details
Keywords: AI and Machine Learning; Decision Choices and Conditions; Mathematical Methods
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Pawelczyk, Martin, Teresa Datta, Johannes van-den-Heuvel, Gjergji Kasneci, and Himabindu Lakkaraju. "Probabilistically Robust Recourse: Navigating the Trade-offs between Costs and Robustness in Algorithmic Recourse." Proceedings of the International Conference on Learning Representations (ICLR) (2023).
  • Research Summary

Optimal Decision Making Under Uncertainty

Inventory control problems in supply chains.  In this stream of theoretical research, Professor Goh has investigated how inventory should be optimally managed in supply chains. Specifically, he has studied how supply chains can make decisions to operate... View Details

  • 2023
  • Working Paper

Distributionally Robust Causal Inference with Observational Data

By: Dimitris Bertsimas, Kosuke Imai and Michael Lingzhi Li
We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds in two steps. We first... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Bertsimas, Dimitris, Kosuke Imai, and Michael Lingzhi Li. "Distributionally Robust Causal Inference with Observational Data." Working Paper, February 2023.
  • 2023
  • Article

Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness

By: Suraj Srinivas, Sebastian Bordt and Himabindu Lakkaraju
One of the remarkable properties of robust computer vision models is that their input-gradients are often aligned with human perception, referred to in the literature as perceptually-aligned gradients (PAGs). Despite only being trained for classification, PAGs cause... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Srinivas, Suraj, Sebastian Bordt, and Himabindu Lakkaraju. "Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • 2007
  • Working Paper

Optimal Reserve Management and Sovereign Debt

By: Laura Alfaro and Fabio Kanczuk
Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. However, given the sovereign's willingness-to-pay incentive problems, reserve accumulation may reduce sustainable debt levels. In addition, assuming... View Details
Keywords: Sovereign Finance; Borrowing and Debt; Financial Liquidity; International Finance; Emerging Markets; Mathematical Methods
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Alfaro, Laura, and Fabio Kanczuk. "Optimal Reserve Management and Sovereign Debt." NBER Working Paper Series, No. 13216, July 2007.
  • 2020
  • Working Paper

Do Lenders Still Discriminate? A Robust Approach for Assessing Differences in Menus

By: David Hao Zhang and Paul Willen
We use a new methodology to assess mortgage pricing discrimination by race. We make four main contributions. First, we show that existing estimates of mortgage pricing differences by race can be confounded by a "menu problem," which is the problem associated with... View Details
Keywords: Mortgages; Financing and Loans; Prejudice and Bias; Race; Measurement and Metrics; Banking Industry; United States
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Zhang, David Hao, and Paul Willen. "Do Lenders Still Discriminate? A Robust Approach for Assessing Differences in Menus." Working Paper, September 2020.
  • February 2009
  • Article

Optimal Reserve Management and Sovereign Debt

By: Laura Alfaro and Fabio Kanczuk
Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. However, given the sovereign's willingness-to-pay incentive problems, reserve accumulation may reduce sustainable debt levels. In addition, assuming... View Details
Keywords: Borrowing and Debt; Motivation and Incentives; Decisions; Emerging Markets; Balance and Stability; Earnings Management; Policy; Interest Rates; International Finance; Cost
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Alfaro, Laura, and Fabio Kanczuk. "Optimal Reserve Management and Sovereign Debt." Journal of International Economics 77, no. 1 (February 2009): 23–36. (Also Harvard Business School Working Paper, No. 07-010, 2006 and NBER Working Paper No. 13216.)
  • Research Summary

Optimal Reserve Management and Sovereign Debt (with Fabio Kanczuk)

By: Laura Alfaro
Most models currently used to determine optimal foreign reserve holdings take the level of international debt as given. Some of the implications of this analysis, however, may not be generalized once one considers the joint decision to hold debt and reserves by a... View Details
  • Article

Total Cost Control in Project Management via Satisficing

By: Joel Goh and Nicholas G. Hall
We consider projects with uncertain activity times and the possibility of expediting, or crashing, them. Activity times come from a partially specified distribution within a family of distributions. This family is described by one or more of the following details about... View Details
Keywords: Project Management; Time And Cost Control; Robust Optimization; Satisficing; Linear Decision Rule; PERT; Management; Cost Management; Projects
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Goh, Joel, and Nicholas G. Hall. "Total Cost Control in Project Management via Satisficing." Management Science 59, no. 6 (June 2013): 1354–1372.
  • Research Summary

Overview

Professor Goh’s primary research interest is applying mathematical models to real-world problems in health care in order to inform, improve, and enhance medical decision making and health policy. His recent work in this domain focuses on developing new methods for... View Details
Keywords: Uncertainty; Optimization; Inventory Management; Health; Decision Making; Supply Chain
  • Article

Popular Acceptance of Inequality Due to Innate Brute Luck and Support for Classical Benefit-based Taxation

By: Matthew C. Weinzierl
U.S. survey respondents' views on distributive justice differ in two specific, related ways from what is conventionally assumed in modern optimal tax research. When expressing their preferences over allocations in stylized, hypothetical scenarios meant to isolate key... View Details
Keywords: Optimal Taxation; Welfarism; Luck; Benefit-based Taxation; Taxation; Equality and Inequality; Attitudes
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Weinzierl, Matthew C. "Popular Acceptance of Inequality Due to Innate Brute Luck and Support for Classical Benefit-based Taxation." Journal of Public Economics 155 (November 2017): 54–63. (Also Harvard Business School Working Paper, No. 16-104, March 2016; revised July 2016, and NBER Working Paper Series, No. 22462, July 2016. See Notes on Fortune article.)
  • October 2024
  • Article

Canary Categories

By: Eric Anderson, Chaoqun Chen, Ayelet Israeli and Duncan Simester
Past customer spending in a category is generally a positive signal of future customer spending. We show that there exist “canary categories” for which the reverse is true. Purchases in these categories are a signal that customers are less likely to return to that... View Details
Keywords: Churn; Churn Management; Churn/retention; Assortment Planning; Retail; Retailing; Retailing Industry; Preference Heterogeneity; Assortment Optimization; Customers; Retention; Consumer Behavior; Forecasting and Prediction; Retail Industry
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Anderson, Eric, Chaoqun Chen, Ayelet Israeli, and Duncan Simester. "Canary Categories." Journal of Marketing Research (JMR) 61, no. 5 (October 2024): 872–890.
  • November 2018 (Revised May 2019)
  • Case

California Closets: Organizing the Customer Experience

By: Boris Groysberg and Annelena Lobb
California Closets had used robust net promoter score (NPS) data, surveyed across its locations, to create a more consistent and satisfying customer experience. CEO Bill Barton wanted to further optimize the customer experience around best practices. He also wanted to... View Details
Keywords: Net Promoter Score; Customer Relationship Management; Customer Satisfaction; Customers; Acquisition; Demographics; Strategy
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Groysberg, Boris, and Annelena Lobb. "California Closets: Organizing the Customer Experience." Harvard Business School Case 419-004, November 2018. (Revised May 2019.)
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