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    • All HBS Web  (1,026)
      • Faculty Publications  (218)

      Predictive ModelsRemove Predictive Models →

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      • 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.
      • 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.)
      • March 2022 (Revised January 2025)
      • Technical Note

      Prediction & Machine Learning

      By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
      This note provides an introduction to machine learning for an introductory data science course. The note begins with a description of supervised, unsupervised, and reinforcement learning. Then, the note provides a brief explanation of the difference between traditional... View Details
      Keywords: Machine Learning; Data Science; Learning; Analytics and Data Science; Performance Evaluation; AI and Machine Learning
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      Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Prediction & Machine Learning." Harvard Business School Technical Note 622-101, March 2022. (Revised January 2025.)
      • March 2022
      • Article

      Where to Locate COVID-19 Mass Vaccination Facilities?

      By: Dimitris Bertsimas, Vassilis Digalakis Jr, Alexander Jacquillat, Michael Lingzhi Li and Alessandro Previero
      The outbreak of COVID-19 led to a record-breaking race to develop a vaccine. However, the limited vaccine capacity creates another massive challenge: how to distribute vaccines to mitigate the near-end impact of the pandemic? In the United States in particular, the new... View Details
      Keywords: Vaccines; COVID-19; Health Care and Treatment; Health Pandemics; Performance Effectiveness; Analytics and Data Science; Mathematical Methods
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      Bertsimas, Dimitris, Vassilis Digalakis Jr, Alexander Jacquillat, Michael Lingzhi Li, and Alessandro Previero. "Where to Locate COVID-19 Mass Vaccination Facilities?" Naval Research Logistics Quarterly 69, no. 2 (March 2022): 179–200.
      • 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.
      • January 10, 2022
      • Article

      The Link Between Income, Income Inequality, and Prosocial Behavior Around the World: A Multiverse Approach

      By: Lucia Macchia and Ashley V. Whillans
      The questions of whether high-income individuals are more prosocial than low-income individuals and whether income inequality moderates this effect have received extensive attention. We shed new light on this topic by analyzing a large-scale dataset with a... View Details
      Keywords: Prosocial Behavior; Income Inequality; Behavior; Philanthropy and Charitable Giving; Income
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      Macchia, Lucia, and Ashley V. Whillans. "The Link Between Income, Income Inequality, and Prosocial Behavior Around the World: A Multiverse Approach." Social Psychology (January 10, 2022): 375–386.
      • 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

      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

      Behavioral and Neural Representations en route to Intuitive Action Understanding

      By: Leyla Tarhan, Julian De Freitas and Talia Konkle
      When we observe another person’s actions, we process many kinds of information—from how their body moves to the intention behind their movements. What kinds of information underlie our intuitive understanding about how similar actions are to each other? To address this... View Details
      Keywords: Action Perception; Intuitive Similarity; Multi-arrangement; fMRI; Representational Similarity Analysis; Behavior; Perception
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      Tarhan, Leyla, Julian De Freitas, and Talia Konkle. "Behavioral and Neural Representations en route to Intuitive Action Understanding." Neuropsychologia 163 (December 2021).
      • October 2021
      • Article

      Overcoming the Cold Start Problem of CRM Using a Probabilistic Machine Learning Approach

      By: Nicolas Padilla and Eva Ascarza
      The success of Customer Relationship Management (CRM) programs ultimately depends on the firm's ability to understand consumers' preferences and precisely capture how these preferences may differ across customers. Only by understanding customer heterogeneity, firms can... View Details
      Keywords: Customer Management; Targeting; Deep Exponential Families; Probabilistic Machine Learning; Cold Start Problem; Customer Relationship Management; Programs; Consumer Behavior; Analysis
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      Padilla, Nicolas, and Eva Ascarza. "Overcoming the Cold Start Problem of CRM Using a Probabilistic Machine Learning Approach." Journal of Marketing Research (JMR) 58, no. 5 (October 2021): 981–1006.
      • 2021
      • Working Paper

      Salience

      By: Pedro Bordalo, Nicola Gennaioli and Andrei Shleifer
      We review the fast-growing work on salience and economic behavior. Psychological research shows that salient stimuli attract human attention “bottom up” due to their high contrast with surroundings, their surprising nature relative to recalled experiences, or their... View Details
      Keywords: Salience; Economic Behavior; Bottom Up Attention; Microeconomics; Decision Making; Behavior
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      Bordalo, Pedro, Nicola Gennaioli, and Andrei Shleifer. "Salience." NBER Working Paper Series, No. 29274, September 2021.
      • August 2021 (Revised February 2024)
      • Case

      Data Science at the Warriors

      By: Iavor I. Bojinov and Michael Parzen
      The case explores the development and early growth of a data science team at the Golden State Warriors, an NBA team based in San Francisco. The case begins by explaining the initial rationale for investing in data science, then covers a debate on the appropriate team... View Details
      Keywords: Digital Marketing; Analysis; Forecasting and Prediction; Technological Innovation; Information Technology; Analytics and Data Science; Sports Industry; San Francisco; United States
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      Bojinov, Iavor I., and Michael Parzen. "Data Science at the Warriors." Harvard Business School Case 622-048, August 2021. (Revised February 2024.)
      • August 2021
      • Supplement

      Coats: Supply Chain Challenges: Spreadsheet Supplement

      By: Willy C. Shih
      Coats, the largest thread maker in the world, transformed its business to digital colour measurement so that it could respond better to customer demand in the garment industry for rapid product cycles and more fragmented colour choices. Its embrace of digital colour... View Details
      Keywords: Inventory Management; Supply Chain; Inventory; Supply Chain Management; Operations; Growth and Development Strategy; Forecasting and Prediction; Demand and Consumers; Consolidation; Apparel and Accessories Industry; Asia
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      Shih, Willy C. "Coats: Supply Chain Challenges: Spreadsheet Supplement." Harvard Business School Spreadsheet Supplement 622-702, August 2021.
      • 2021
      • Working Paper

      Multiple Team Membership, Turnover, and On-Time Delivery: Evidence from Construction Services

      By: Hise O. Gibson, Bradely R. Staats and Ananth Raman
      Firms who want to compete in dynamic markets are finding that they must build more agile operations to ensure success. One way for a firm to increase organizational agility is to allocate employees to multiple project teams, simultaneously—a practice known as multiple... View Details
      Keywords: Multiple Team Membership; Turnover; Fluid Teams; Project Management; Groups and Teams; Projects; Management; Performance
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      Gibson, Hise O., Bradely R. Staats, and Ananth Raman. "Multiple Team Membership, Turnover, and On-Time Delivery: Evidence from Construction Services." Harvard Business School Working Paper, No. 22-004, July 2021.
      • Article

      Learning Models for Actionable Recourse

      By: Alexis Ross, Himabindu Lakkaraju and Osbert Bastani
      As machine learning models are increasingly deployed in high-stakes domains such as legal and financial decision-making, there has been growing interest in post-hoc methods for generating counterfactual explanations. Such explanations provide individuals adversely... View Details
      Keywords: Machine Learning Models; Recourse; Algorithm; Mathematical Methods
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      Ross, Alexis, Himabindu Lakkaraju, and Osbert Bastani. "Learning Models for Actionable Recourse." Advances in Neural Information Processing Systems (NeurIPS) 34 (2021).
      • June 2021
      • Technical Note

      Introduction to Linear Regression

      By: Michael Parzen and Paul Hamilton
      This technical note introduces (from an applied point of view) the theory and application of simple and multiple linear regression. The motivation for the model is introduced, as well as how to interpret the summary output with regard to prediction and statistical... View Details
      Keywords: Linear Regression; Regression; Analysis; Forecasting and Prediction; Risk and Uncertainty; Theory; Compensation and Benefits; Mathematical Methods; Analytics and Data Science
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      Parzen, Michael, and Paul Hamilton. "Introduction to Linear Regression." Harvard Business School Technical Note 621-086, June 2021.
      • 2021
      • Working Paper

      Equilibrium Effects of Pay Transparency

      By: Zoë B. Cullen and Bobak Pakzad-Hurson
      The public discourse around pay transparency has focused on the direct effect: how workers seek to rectify newly-disclosed pay inequities through renegotiations. The question of how wage-setting and hiring practices of the firm respond in equilibrium has received... View Details
      Keywords: Pay Transparency; Online Labor Market; Privacy; Wage Gap; Negotiation; Corporate Disclosure; Compensation and Benefits; Gender
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      Cullen, Zoë B., and Bobak Pakzad-Hurson. "Equilibrium Effects of Pay Transparency." Working Paper, June 2021. (Econometrica, Vol 91, No. 3 (May, 2023), 765-802.)
      • May 2021
      • Article

      Choice Architecture in Physician–patient Communication: A Mixed-methods Assessment of Physicians' Competency

      By: J. Hart, K. Yadav, S. Szymanski, A. Summer, A. Tannenbaum, J. Zlatev, D. Daniels and S.D. Halpern
      Background: Clinicians’ use of choice architecture, or how they present options, systematically influences the choices made by patients and their surrogate decision makers. However, clinicians may incompletely understand this influence.... View Details
      Keywords: Choice Architecture; Health Care and Treatment; Interpersonal Communication; Decision Choices and Conditions; Competency and Skills
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      Hart, J., K. Yadav, S. Szymanski, A. Summer, A. Tannenbaum, J. Zlatev, D. Daniels, and S.D. Halpern. "Choice Architecture in Physician–patient Communication: A Mixed-methods Assessment of Physicians' Competency." BMJ Quality & Safety 30, no. 5 (May 2021).
      • 2021
      • Working Paper

      Property Rights and Urban Form

      By: Simeon Djankov, Edward L. Glaeser, Valeria Perotti and Andrei Shleifer
      How do the different elements in the standard bundle of property rights, including those of possession and transfer, influence the shape of cities? This paper incorporates insecure property rights into a standard model of urban land prices and density, and makes... View Details
      Keywords: Property; Rights; City; Development Economics; Global Range
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      Djankov, Simeon, Edward L. Glaeser, Valeria Perotti, and Andrei Shleifer. "Property Rights and Urban Form." NBER Working Paper Series, No. 28793, May 2021.
      • April 2021
      • Case

      Distinct Software

      By: Das Narayandas, Arijit Sengupta and Jonathan Wray
      Distinct Software (disguised name), a global enterprise software company, is at an important point in its growth trajectory where the luster of its mantra of “grow and win at any cost” has dimmed with increasing competition and margin pressures. To help navigate its... View Details
      Keywords: Artificial Intelligence; Marketing; Sales; Performance Productivity; Technological Innovation; AI and Machine Learning
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      Narayandas, Das, Arijit Sengupta, and Jonathan Wray. "Distinct Software." Harvard Business School Case 521-101, April 2021.
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