Publications

Article

How Much Is a Reduction of Your Customers' Wait Worth? An Empirical Study of the Fast-Food Drive-Thru Industry Based on Structural Estimation Methods

In many service industries, companies compete with each other on the basis of the waiting time their customers experience, along with other strategic instruments such as the price they charge for their service. The objective of this paper is to conduct an empirical... View Details

Keywords: Customer Satisfaction; Price; Service Delivery; Mathematical Methods; Competition; Food and Beverage Industry; Service Industry

Article

Detecting Adversarial Attacks via Subset Scanning of Autoencoder Activations and Reconstruction Error

By: Celia Cintas, Skyler Speakman, Victor Akinwande, William Ogallo, Komminist Weldemariam, Srihari Sridharan and Edward McFowland III

Reliably detecting attacks in a given set of inputs is of high practical relevance because of the vulnerability of neural networks to adversarial examples. These altered inputs create a security risk in applications with real-world consequences, such as self-driving... View Details

Keywords: Autoencoder Networks; Pattern Detection; Subset Scanning; Computer Vision; Statistical Methods And Machine Learning; Machine Learning; Deep Learning; Data Mining; Big Data; Large-scale Systems; Mathematical Methods; Analytics and Data Science

2020
Working Paper

Demystifying the Math of the Coronavirus

By: Elon Kohlberg and Abraham Neyman

We provide an elementary mathematical description of the spread of the coronavirus. We explain two fundamental relationships: How the rate of growth in new infections is determined by the “effective reproductive number” and how the effective reproductive number is... View Details

Keywords: Coronavirus; Health Pandemics; Mathematical Methods

December 2019
Technical Note

Technical Note on Bayesian Statistics and Frequentist Power Calculations

By: Amitabh Chandra and Ariel Dora Stern

This Technical Note provides an introduction to Bayes’ Rule and the statistical intuition that stems from it. In this note, we review the concepts that underlie Bayesian statistics, and we offer several simple mathematical examples to illustrate applications of Bayes’... View Details

Keywords: Bayesian Statistics; Mathematical Methods

November 2018
Case

Sportradar (A): From Data to Storytelling

By: Ramon Casadesus-Masanell, Karen Elterman and Oliver Gassmann

In 2013, the Swiss sports data company Sportradar debated whether to expand from its core business of data provision to bookmakers into sports media products. Sports data was becoming a commodity, and in the future, sports leagues might reduce their dependence on... View Details

February 2021
Tutorial

What is AI?

By: Tsedal Neeley

This video explores the elements that constitute artificial intelligence (AI). From its mathematical basis to current advances in AI, this video introduces students to data, tools, and statistical models that make a computer 'intelligent.' Through an explanation of... View Details

Keywords: Artificial Intelligence; Digital; Technological Innovation; Leadership; AI and Machine Learning; Mathematical Methods

Article

Bilateral Contracts

By: Jerry R. Green and Seppo Honkapohja

A mathematical characterization of self-enforcing bilateral contracts is given. Contracts where both parties exercise some control over the quantity traded can sometimes be superior to contracts that rest control entirely with one side. Some qualitative characteristics... View Details

Keywords: Contracts; Mathematical Methods

Research Summary

Valuation Theory and Practice

Timothy A. Luehrman's primary research interest is in the application of valuation methods to companies, businesses, and individual assets. Some of his work involves applications of tools originally developed for valuing derivative securities to the valuation of other... View Details

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

August 2005 (Revised September 2006)
Case

Polyphonic HMI: Mixing Music and Math

By: Anita Elberse, Jehoshua Eliashberg and Julian Villanueva

In 2003, Mike McCready, CEO of Barcelona-based Polyphonic HMI, was preparing to launch an artificial intelligence tool that could create significant value for music businesses. The technology, referred to as Hit Song Science (HSS), analyzed the mathematical... View Details

Keywords: Forecasting and Prediction; Music Entertainment; Business History; Leadership; Marketing Strategy; Strategic Planning; Problems and Challenges; Mathematical Methods; Entertainment and Recreation Industry

2018
Working Paper

Semi-Parametric Estimation of Dynamic Discrete Choice Models

By: David Hao Zhang

I develop a new method for estimating counterfactuals in dynamic discrete choice models, a widely used set of models in economics, without requiring a distributional assumption on utility shocks. Applying my method to the canonical Rust (1987) setting, I find that the... View Details

Keywords: Semiparametrics; Dynamic Discrete Choice; Consumer Choice; Mathematical Methods

2022
Article

Which Explanation Should I Choose? A Function Approximation Perspective to Characterizing Post hoc Explanations

By: Tessa Han, Suraj Srinivas and Himabindu Lakkaraju

A critical problem in the field of post hoc explainability is the lack of a common foundational goal among methods. For example, some methods are motivated by function approximation, some by game theoretic notions, and some by obtaining clean visualizations. This... View Details

Keywords: Mathematical Methods; Decision Choices and Conditions; Analytics and Data Science

Article

Improved Bounds on the Sizes of S.P Numbers

By: Paul Myer Kominers and Scott Duke Kominers

A number which is S.P in base r is a positive integer which is equal to the sum of its base-r digits multiplied by the product of its base-r digits. These numbers have been studied extensively in The Mathematical Gazette. Recently, Shah Ali... View Details

Keywords: Mathematical Methods

Article

The Similarity Heuristic

By: Daniel Read and Yael Grushka-Cockayne

Decision makers often make snap judgments using fast‐and‐frugal decision rules called cognitive heuristics. Research into cognitive heuristics has been divided into two camps. One camp has emphasized the limitations and biases produced by the heuristics; another has... View Details

Keywords: Heuristics And Biases; Fast-and-frugal Heuristics; Similarity; Representative Design

October 1, 2021
Article

An Evaluation of Cross-efficiency Methods: With an Application to Warehouse Performance.

By: B.M. Balk, M.R. De Koster, Christian Kaps and J.L. Zofio

Cross-efficiency measurement is an extension of Data Envelopment Analysis that allows for tie-breaking ranking of the Decision Making Units (DMUs) using all the peer evaluations. In this article we examine the theory of cross-efficiency measurement by comparing a... View Details

Keywords: Efficiency Analysis; Performance Benchmarking; Warehousing; Analytics and Data Science; Performance Evaluation; Measurement and Metrics; Mathematical Methods

2013
Book

Keeping Up with the Quants: Your Guide to Understanding and Using Analytics

By: Thomas H. Davenport and Jinho Kim

Managers today need to be able to analyze and make sense of data. They need to be conversant with analytical technology and methods and to make decisions on quantitative analysis. This book offers a variety of practical tools and examples to improve a manager's... View Details

Keywords: Statistics; Business Analytics; Big Data; Analytics and Data Science; Management Practices and Processes; Mathematical Methods; Information Management

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

September 2021
Article

Oh's 8-Universality Criterion Is Unique

By: Scott Duke Kominers

Using the methods developed for the proof that the 2-universality criterion is unique, we partially characterize criteria for the n-universality of positive-definite integer-matrix quadratic forms. We then obtain the uniqueness of Oh’s 8-universality criterion as an... View Details

Keywords: N-universal Lattice; 8-universal Lattice; Universality Criteria; Quadratic Forms; Additively Indecomposable; Mathematical Methods

March 2001 (Revised April 2002)
Case

Rent-Way, Inc. (A)

By: David F. Hawkins

The company uses the units of activity method to account for its rental inventory. A prominent hedge fund advisor recommends the company's stock be sold short. View Details

Keywords: Mathematical Methods; Stock Shares; Fair Value Accounting; Quality; Investment Funds; Service Industry