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Publications

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      • 2022
      • Working Paper

      Pricing Power in Advertising Markets: Theory and Evidence

      By: Matthew Gentzkow, Jesse M. Shapiro, Frank Yang and Ali Yurukoglu
      Existing theories of media competition imply that advertisers will pay a lower price in equilibrium to reach consumers who multi-home across competing outlets. We generalize and extend this theoretical result and test it using data from television and social media... View Details
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      Gentzkow, Matthew, Jesse M. Shapiro, Frank Yang, and Ali Yurukoglu. "Pricing Power in Advertising Markets: Theory and Evidence." NBER Working Paper Series, No. 30278, July 2022.
      • June 2022 (Revised October 2022)
      • Background Note

      Digital Commerce and Delivery: Preparing Food and Retail Value Chains for a 50-50 World

      By: William R. Kerr, Daniel O'Connor, Paige Boehmcke and Will Ensor
      Increasing digitalization of grocery retail and quick commerce reveals insights about managing complex supply chains at scale and shifting revenue streams from product sales to data monetization. How are the roles of retailers changing? What happens if marginal cost... View Details
      Keywords: Grocery Delivery; Grocery; Digitalization; Fulfillment; Delivery; Supply Chain; Disruption; Food; Supply Chain Management; Market Design; Trends; Value Creation; Goods and Commodities; Customer Value and Value Chain; Digital Transformation; Retail Industry; Food and Beverage Industry; United States; China
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      Kerr, William R., Daniel O'Connor, Paige Boehmcke, and Will Ensor. "Digital Commerce and Delivery: Preparing Food and Retail Value Chains for a 50-50 World." Harvard Business School Background Note 822-108, June 2022. (Revised October 2022.)
      • 2022
      • Working Paper

      Machine Learning Models for Prediction of Scope 3 Carbon Emissions

      By: George Serafeim and Gladys Vélez Caicedo
      For most organizations, the vast amount of carbon emissions occur in their supply chain and in the post-sale processing, usage, and end of life treatment of a product, collectively labelled scope 3 emissions. In this paper, we train machine learning algorithms on 15... View Details
      Keywords: Carbon Emissions; Climate Change; Environment; Carbon Accounting; Machine Learning; Artificial Intelligence; Digital; Data Science; Environmental Sustainability; Environmental Management; Environmental Accounting
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      Serafeim, George, and Gladys Vélez Caicedo. "Machine Learning Models for Prediction of Scope 3 Carbon Emissions." Harvard Business School Working Paper, No. 22-080, June 2022.
      • 2022
      • Article

      Exploring Counterfactual Explanations Through the Lens of Adversarial Examples: A Theoretical and Empirical Analysis.

      By: Martin Pawelczyk, Chirag Agarwal, Shalmali Joshi, Sohini Upadhyay and Himabindu Lakkaraju
      As machine learning (ML) models become more widely deployed in high-stakes applications, counterfactual explanations have emerged as key tools for providing actionable model explanations in practice. Despite the growing popularity of counterfactual explanations, a... View Details
      Keywords: Machine Learning Models; Counterfactual Explanations; Adversarial Examples; Mathematical Methods
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      Pawelczyk, Martin, Chirag Agarwal, Shalmali Joshi, Sohini Upadhyay, and Himabindu Lakkaraju. "Exploring Counterfactual Explanations Through the Lens of Adversarial Examples: A Theoretical and Empirical Analysis." Proceedings of the International Conference on Artificial Intelligence and Statistics (AISTATS) 25th (2022).
      • April 12, 2022
      • Article

      Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States

      By: Estee Y. Cramer, Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li and et al.
      Short-term probabilistic forecasts of the trajectory of the COVID-19 pandemic in the United States have served as a visible and important communication channel between the scientific modeling community and both the general public and decision-makers. Forecasting models... View Details
      Keywords: COVID-19; Forecasting and Prediction; Health Pandemics; Mathematical Methods; Partners and Partnerships
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      Cramer, Estee Y., Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li, and et al. "Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States." e2113561119. Proceedings of the National Academy of Sciences 119, no. 15 (April 12, 2022). (See full author list here.)
      • 2022
      • Working Paper

      A Linear Panel Model with Heterogeneous Coefficients and Variation in Exposure

      By: Jesse M. Shapiro and Liyang Sun
      Linear panel models featuring unit and time fixed effects appear in many areas of empirical economics. An active literature studies the interpretation of the ordinary least squares estimator of the model, commonly called the two-way fixed effects (TWFE) estimator, in... View Details
      Keywords: Econometric Models; Mathematical Methods
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      Shapiro, Jesse M., and Liyang Sun. "A Linear Panel Model with Heterogeneous Coefficients and Variation in Exposure." NBER Working Paper Series, No. 29976, April 2022.
      • 2023
      • Working Paper

      Can Evidence-Based Information Shift Preferences Towards Trade Policy?

      By: Laura Alfaro, Maggie X. Chen and Davin Chor
      Amid public skepticism about trade, we investigate whether evidence-based information--a concise statement of a research finding--can shape preferences towards trade policy. Across survey experiments conducted over 2018-2022 on U.S. general population samples, we... View Details
      Keywords: Evidence; Preference; Trade Policy; Information; Trade; Policy; Attitudes
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      Alfaro, Laura, Maggie X. Chen, and Davin Chor. "Can Evidence-Based Information Shift Preferences Towards Trade Policy?" Harvard Business School Working Paper, No. 22-062, March 2022. (Revised October 2024. NBER Working Paper Series, No. 31240, May 2023)
      • March 2022 (Revised January 2025)
      • Technical Note

      Linear Regression

      By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
      This note provides an overview of linear regression for an introductory data science course. It begins with a discussion of correlation, and explains why correlation does not necessarily imply causation. The note then describes the method of least squares, and how to... View Details
      Keywords: Data Science; Linear Regression; Mathematical Modeling; Mathematical Methods; Analytics and Data Science
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      Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Linear Regression." Harvard Business School Technical Note 622-100, March 2022. (Revised January 2025.)
      • March 2022 (Revised February 2023)
      • Case

      Pakistan Rising: Bazaar's Growth Story (A)

      By: Paul A. Gompers and Gamze Yucaoglu
      The case opens in September 2021 as Hamza Jawaid and Saad Jangda, co-founders of Bazaar technologies (Bazaar), the Pakistani high growth B2B e-commerce marketplace, are contemplating whether the year-and-a half old startup should also venture into offering financing to... View Details
      Keywords: B2B; Business Model; Emerging Markets; For-Profit Firms; Strategy; Digital Platforms; Information Technology; Value Creation; Globalization; Competition; Expansion; Profit; Resource Allocation; Diversification; Corporate Strategy; Pakistan
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      Gompers, Paul A., and Gamze Yucaoglu. "Pakistan Rising: Bazaar's Growth Story (A)." Harvard Business School Case 822-098, March 2022. (Revised February 2023.)
      • March 2022
      • Article

      Estimating the Effectiveness of Permanent Price Reductions for Competing Products Using Multivariate Bayesian Structural Time Series Models

      By: Fiammetta Menchetti and Iavor Bojinov
      Researchers regularly use synthetic control methods for estimating causal effects when a sub-set of units receive a single persistent treatment, and the rest are unaffected by the change. In many applications, however, units not assigned to treatment are nevertheless... View Details
      Keywords: Causal Inference; Partial Interference; Synthetic Controls; Bayesian Structural Time Series; Mathematical Methods
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      Menchetti, Fiammetta, and Iavor Bojinov. "Estimating the Effectiveness of Permanent Price Reductions for Competing Products Using Multivariate Bayesian Structural Time Series Models." Annals of Applied Statistics 16, no. 1 (March 2022): 414–435.
      • 2022
      • Working Paper

      The Disagreement Problem in Explainable Machine Learning: A Practitioner's Perspective

      By: Satyapriya Krishna, Tessa Han, Alex Gu, Javin Pombra, Shahin Jabbari, Steven Wu and Himabindu Lakkaraju
      As various post hoc explanation methods are increasingly being leveraged to explain complex models in high-stakes settings, it becomes critical to develop a deeper understanding of if and when the explanations output by these methods disagree with each other, and how... View Details
      Keywords: AI and Machine Learning; Analytics and Data Science; Mathematical Methods
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      Krishna, Satyapriya, Tessa Han, Alex Gu, Javin Pombra, Shahin Jabbari, Steven Wu, and Himabindu Lakkaraju. "The Disagreement Problem in Explainable Machine Learning: A Practitioner's Perspective." Working Paper, 2022.
      • February 2022
      • Case

      NFX Capital and Moov Technologies

      By: Scott Duke Kominers and Nicole Tempest Keller
      In July 2019, James Currier, a general partner at San Francisco-based NFX Ventures, was considering a seed stage investment of $1.5 million in Moov Technologies, a B2B marketplace for used industrial equipment. NFX was a venture capital firm focused on seed-stage... View Details
      Keywords: Venture Capital; Network Effects; Marketplace Matching; Digital Platforms; Market Design; Applications and Software; Semiconductor Industry; Financial Services Industry; San Francisco
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      Kominers, Scott Duke, and Nicole Tempest Keller. "NFX Capital and Moov Technologies." Harvard Business School Case 822-045, February 2022.
      • February 2022
      • Article

      Sugar-sweetened Beverage Purchases and Intake at Event Arenas with and without a Portion Size Cap

      By: Sheri Volger, James Scott Parrott, Brian Elbel, Leslie K. John, Jason P. Block, Pamela Rothpletz-Puglia and Christina A. Roberto
      This is the first real-world study to examine the association between a voluntary 16-ounce (oz.) portion-size cap on sugar-sweetened beverages (SSB) at a sporting arena on volume of SSBs and food calories purchased and consumed during basketball games. Cross-sectional... View Details
      Keywords: Sugar-sweetened Beverages; Nutrition Policy; Obesity Prevention; Portion Sizes; Nutrition; Policy; Health; Behavior
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      Volger, Sheri, James Scott Parrott, Brian Elbel, Leslie K. John, Jason P. Block, Pamela Rothpletz-Puglia, and Christina A. Roberto. "Sugar-sweetened Beverage Purchases and Intake at Event Arenas with and without a Portion Size Cap." Art. 101661. Preventative Medicine Reports 25 (February 2022).
      • January 2022
      • Case

      Somatus: Value-Based Kidney Care (A)

      By: Ariel D. Stern, Robert S. Huckman and Sarah Mehta
      When Dr. Ikenna Okezie founded Somatus, a value-based kidney care provider, his goal had been nothing short of transforming kidney care delivery in the United States. Rather than relying on dialysis, a costly and intensive treatment for late-stage kidney disease, the... View Details
      Keywords: Business Startups; Disruption; Entrepreneurship; Health; Health Care and Treatment; Health Disorders; Medical Specialties; Innovation and Invention; Disruptive Innovation; Management; Strategy; Business Strategy; Value; Value Creation; Health Industry; United States; Virginia
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      Stern, Ariel D., Robert S. Huckman, and Sarah Mehta. "Somatus: Value-Based Kidney Care (A)." Harvard Business School Case 622-009, January 2022.
      • Article

      Pattern Detection in the Activation Space for Identifying Synthesized Content

      By: Celia Cintas, Skyler Speakman, Girmaw Abebe Tadesse, Victor Akinwande, Edward McFowland III and Komminist Weldemariam
      Generative Adversarial Networks (GANs) have recently achieved unprecedented success in photo-realistic image synthesis from low-dimensional random noise. The ability to synthesize high-quality content at a large scale brings potential risks as the generated samples may... View Details
      Keywords: Subset Scanning; Generative Models; Synthetic Content Detection
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      Cintas, Celia, Skyler Speakman, Girmaw Abebe Tadesse, Victor Akinwande, Edward McFowland III, and Komminist Weldemariam. "Pattern Detection in the Activation Space for Identifying Synthesized Content." Pattern Recognition Letters 153 (January 2022): 207–213.
      • 2022
      • Working Paper

      TalkToModel: Explaining Machine Learning Models with Interactive Natural Language Conversations

      By: Dylan Slack, Satyapriya Krishna, Himabindu Lakkaraju and Sameer Singh
      Practitioners increasingly use machine learning (ML) models, yet they have become more complex and harder to understand. To address this issue, researchers have proposed techniques to explain model predictions. However, practitioners struggle to use explainability... View Details
      Keywords: Natural Language Conversations; Predictive Models; AI and Machine Learning
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      Slack, Dylan, Satyapriya Krishna, Himabindu Lakkaraju, and Sameer Singh. "TalkToModel: Explaining Machine Learning Models with Interactive Natural Language Conversations." Working Paper, 2022.
      • Article

      A Prescriptive Analytics Framework for Optimal Policy Deployment Using Heterogeneous Treatment Effects

      By: Edward McFowland III, Sandeep Gangarapu, Ravi Bapna and Tianshu Sun
      We define a prescriptive analytics framework that addresses the needs of a constrained decision-maker facing, ex ante, unknown costs and benefits of multiple policy levers. The framework is general in nature and can be deployed in any utility maximizing context, public... View Details
      Keywords: Prescriptive Analytics; Heterogeneous Treatment Effects; Optimization; Observed Rank Utility Condition (OUR); Between-treatment Heterogeneity; Machine Learning; Decision Making; Analysis; Mathematical Methods
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      McFowland III, Edward, Sandeep Gangarapu, Ravi Bapna, and Tianshu Sun. "A Prescriptive Analytics Framework for Optimal Policy Deployment Using Heterogeneous Treatment Effects." MIS Quarterly 45, no. 4 (December 2021): 1807–1832.
      • Article

      Adaptive Machine Unlearning

      By: Varun Gupta, Christopher Jung, Seth Neel, Aaron Roth, Saeed Sharifi-Malvajerdi and Chris Waites
      Data deletion algorithms aim to remove the influence of deleted data points from trained models at a cheaper computational cost than fully retraining those models. However, for sequences of deletions, most prior work in the non-convex setting gives valid guarantees... View Details
      Keywords: Machine Learning; AI and Machine Learning
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      Gupta, Varun, Christopher Jung, Seth Neel, Aaron Roth, Saeed Sharifi-Malvajerdi, and Chris Waites. "Adaptive Machine Unlearning." Advances in Neural Information Processing Systems (NeurIPS) 34 (2021).
      • Article

      Counterfactual Explanations Can Be Manipulated

      By: Dylan Slack, Sophie Hilgard, Himabindu Lakkaraju and Sameer Singh
      Counterfactual explanations are useful for both generating recourse and auditing fairness between groups. We seek to understand whether adversaries can manipulate counterfactual explanations in an algorithmic recourse setting: if counterfactual explanations indicate... View Details
      Keywords: Machine Learning Models; Counterfactual Explanations
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      Slack, Dylan, Sophie Hilgard, Himabindu Lakkaraju, and Sameer Singh. "Counterfactual Explanations Can Be Manipulated." Advances in Neural Information Processing Systems (NeurIPS) 34 (2021).
      • Article

      Reliable Post hoc Explanations: Modeling Uncertainty in Explainability

      By: Dylan Slack, Sophie Hilgard, Sameer Singh and Himabindu Lakkaraju
      As black box explanations are increasingly being employed to establish model credibility in high stakes settings, it is important to ensure that these explanations are accurate and reliable. However, prior work demonstrates that explanations generated by... View Details
      Keywords: Black Box Explanations; Bayesian Modeling; Decision Making; Risk and Uncertainty; Information Technology
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      Slack, Dylan, Sophie Hilgard, Sameer Singh, and Himabindu Lakkaraju. "Reliable Post hoc Explanations: Modeling Uncertainty in Explainability." Advances in Neural Information Processing Systems (NeurIPS) 34 (2021).
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