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  • All HBS Web  (855)
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    • Research  (639)
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Show Results For

  • All HBS Web  (855)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
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  • 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.
  • 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).
  • November–December 2018
  • Article

Online Network Revenue Management Using Thompson Sampling

By: Kris J. Ferreira, David Simchi-Levi and He Wang
We consider a network revenue management problem where an online retailer aims to maximize revenue from multiple products with limited inventory constraints. As common in practice, the retailer does not know the consumer's purchase probability at each price and must... View Details
Keywords: Online Marketing; Revenue Management; Revenue; Management; Marketing; Internet and the Web; Price; Mathematical Methods
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Ferreira, Kris J., David Simchi-Levi, and He Wang. "Online Network Revenue Management Using Thompson Sampling." Operations Research 66, no. 6 (November–December 2018): 1586–1602.
  • Winter 2017
  • Article

Why Big Data Isn't Enough

By: Sen Chai and Willy C. Shih
There is a growing belief that sophisticated algorithms can explore huge databases and find relationships independent of any preconceived hypotheses. But in businesses that involve scientific research and technological innovation, this approach is misguided and... View Details
Keywords: Big Data; Science-based; Science; Scientific Research; Data Analytics; Data Science; Data-driven Management; Data Scientists; Technological Innovation; Analytics and Data Science; Mathematical Methods; Theory
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Chai, Sen, and Willy C. Shih. "Why Big Data Isn't Enough." Art. 58227. MIT Sloan Management Review 58, no. 2 (Winter 2017): 57–61.
  • May 2011
  • Teaching Note

Baria Planning Solutions, Inc.: Fixing the Sales Process (Brief Case)

By: Steven C. Wheelwright and William Schmidt
Teaching Note for 4568. View Details
Keywords: Quantitative Analysis; Technology; Operations Management; Product Lines; Manufacturing; Capacity Planning; Production Planning; Information Technology; Production; Mathematical Methods; Performance Capacity; Product Development; Planning; Manufacturing Industry
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Wheelwright, Steven C., and William Schmidt. "Baria Planning Solutions, Inc.: Fixing the Sales Process (Brief Case)." Harvard Business School Teaching Note 114-569, May 2011.
  • May 1993
  • Case

Patient Transfusion Services Lab of Central Blood Bank

By: James L. Heskett
The vice president of the Lab and Clinical Services at Central Blood Bank is faced with the challenge of convincing a hospital to use economical shared patient transfusion testing services. View Details
Keywords: Health Care and Treatment; Quality; Service Operations; Mathematical Methods; Customer Satisfaction; Health Industry
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Heskett, James L. "Patient Transfusion Services Lab of Central Blood Bank." Harvard Business School Case 693-091, May 1993.
  • 11 Apr 2017
  • First Look

First Look at New Research, April 11

associated biomarkers, placing an emphasis on the factors affecting their development, pricing, and access. Publisher's link: https://www.hbs.edu/faculty/Pages/item.aspx?num=52453 Theory of Machine: When Do People Rely on Algorithms? By: Logg, Jennifer M.... View Details
  • 1992
  • Chapter

Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing

By: James K. Sebenius and David Lax
Keywords: Alliances; Negotiation Process; Mathematical Methods; Strategy
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Sebenius, James K., and David Lax. "Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing." In Negotiation Analysis, edited by H. Peyton Young, 153–193. Ann Arbor, MI: University of Michigan Press, 1992.
  • 2024
  • Working Paper

Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference

By: Michael Lindon, Dae Woong Ham, Martin Tingley and Iavor I. Bojinov
Linear regression adjustment is commonly used to analyze randomized controlled experiments due to its efficiency and robustness against model misspecification. Current testing and interval estimation procedures leverage the asymptotic distribution of such estimators to... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Lindon, Michael, Dae Woong Ham, Martin Tingley, and Iavor I. Bojinov. "Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference." Harvard Business School Working Paper, No. 24-060, March 2024.
  • 2023
  • Article

Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability

By: Usha Bhalla, Suraj Srinivas and Himabindu Lakkaraju
With the increased deployment of machine learning models in various real-world applications, researchers and practitioners alike have emphasized the need for explanations of model behaviour. To this end, two broad strategies have been outlined in prior literature to... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Bhalla, Usha, Suraj Srinivas, and Himabindu Lakkaraju. "Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • May 2020
  • Article

Scalable Holistic Linear Regression

By: Dimitris Bertsimas and Michael Lingzhi Li
We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions iteratively. The resulting... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Bertsimas, Dimitris, and Michael Lingzhi Li. "Scalable Holistic Linear Regression." Operations Research Letters 48, no. 3 (May 2020): 203–208.
  • March 2022
  • Article

Sensitivity Analysis of Agent-based Models: A New Protocol

By: Emanuele Borgonovo, Marco Pangallo, Jan Rivkin, Leonardo Rizzo and Nicolaj Siggelkow
Agent-based models (ABMs) are increasingly used in the management sciences. Though useful, ABMs are often critiqued: it is hard to discern why they produce the results they do and whether other assumptions would yield similar results. To help researchers address such... View Details
Keywords: Agent-based Modeling; Sensitivity Analysis; Design Of Experiments; Total Order Sensitivity Indices; Organizations; Behavior; Decision Making; Mathematical Methods
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Borgonovo, Emanuele, Marco Pangallo, Jan Rivkin, Leonardo Rizzo, and Nicolaj Siggelkow. "Sensitivity Analysis of Agent-based Models: A New Protocol." Computational and Mathematical Organization Theory 28, no. 1 (March 2022): 52–94.
  • November 1990 (Revised August 1996)
  • Background Note

Sampling and Statistical Inference

By: Arthur Schleifer Jr.
An introduction to sampling and statistical inference that covers the main concepts (confidence intervals, tests of statistical significance, choice of sample size) that are needed in making inferences about a population mean or percent. Includes discussion of problems... View Details
Keywords: Mathematical Methods; Forecasting and Prediction; Demographics
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Schleifer, Arthur, Jr. "Sampling and Statistical Inference." Harvard Business School Background Note 191-092, November 1990. (Revised August 1996.)
  • January 2008 (Revised April 2008)
  • Teaching Note

Pilgrim Bank (C): Statistics Review with Data Desk

By: Frances X. Frei
Teaching Note for [602103]. View Details
Keywords: Banks and Banking; Mathematical Methods; Banking Industry
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Frei, Frances X. "Pilgrim Bank (C): Statistics Review with Data Desk." Harvard Business School Teaching Note 608-097, January 2008. (Revised April 2008.)
  • 2008
  • Working Paper

Unravelling in Two-Sided Matching Markets and Similarity of Preferences

By: Hanna Halaburda
This paper investigates the causes and welfare consequences of unravelling in two-sided matching markets. It shows that similarity of preferences is an important factor driving unravelling. In particular, it shows that under the ex-post stable mechanism (the mechanism... View Details
Keywords: Market Participation; Two-Sided Platforms; Marketplace Matching; Mathematical Methods
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Halaburda, Hanna. "Unravelling in Two-Sided Matching Markets and Similarity of Preferences." Harvard Business School Working Paper, No. 09-068, November 2008.
  • May 2007 (Revised March 2008)
  • Background Note

Basic Techniques for the Analysis of Customer Information Using Excel 2003: A Step-by-Step Approach

By: Francisco de Asis Martinez-Jerez
Provides a set of easy, step-by-step guides for some analytical techniques that are useful in the analysis of cases discussed in the course "Competing and Winning Through Customer Information (CWCI)". The instructions that follow use datasets from three of the cases in... View Details
Keywords: Data and Data Sets; Management Analysis, Tools, and Techniques; Mathematical Methods
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Martinez-Jerez, Francisco de Asis. "Basic Techniques for the Analysis of Customer Information Using Excel 2003: A Step-by-Step Approach." Harvard Business School Background Note 107-073, May 2007. (Revised March 2008.)
  • 2009
  • Chapter

Identity as a Variable

By: Rawi Abdelal, Yoshiko M. Herrera, Alastair Iain Johnston and Rose McDermott
Keywords: Identity; Measurement and Metrics; Mathematical Methods
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Abdelal, Rawi, Yoshiko M. Herrera, Alastair Iain Johnston, and Rose McDermott. "Identity as a Variable." In Measuring Identity, edited by Rawi Abdelal, Yoshiko M. Herrera, Alastair Iain Johnston, and Rose McDermott, 17–32. Cambridge: Cambridge University Press, 2009.
  • June 1999
  • Article

Projections onto Efficient Frontiers: Theoretical and Computational Extensions to DEA

By: F. Frei and P. Harker
Keywords: Mathematical Methods; Forecasting and Prediction; Theory
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Frei, F., and P. Harker. "Projections onto Efficient Frontiers: Theoretical and Computational Extensions to DEA." Journal of Productivity Analysis 11, no. 3 (June 1999): 275–300.
  • May 1990
  • Background Note

Conjoint Analysis: A Manager's Guide

By: Robert J. Dolan
Presents a non-technical description of the conjoint analysis methodology. Discusses the process by which such a study is done and cites areas of application. View Details
Keywords: Marketing; Mathematical Methods; Forecasting and Prediction
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Dolan, Robert J. "Conjoint Analysis: A Manager's Guide." Harvard Business School Background Note 590-059, May 1990.
  • 2002
  • Chapter

Contributions of Applied Systems Analysis to International Negotiation

By: Howard Raiffa
Keywords: Negotiation; International Relations; Mathematical Methods
Citation
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Raiffa, Howard. "Contributions of Applied Systems Analysis to International Negotiation." Chap. 1 in International Negotiation: Analysis, Approaches, Issues. 2nd ed. Edited by Victor Kremenyuk. San Francisco: Jossey-Bass, 2002.
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