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We consider the problem of choosing prices of a set of products so as to maximize profit, taking into account self-elasticity and cross-elasticity, subject to constraints on the prices. We show that this problem can be formulated as…

Optimization and Control · Mathematics 2026-04-30 Maximilian Schaller , Stephen Boyd

We consider a model in which a trader aims to maximize expected risk-adjusted profit while trading a single security. In our model, each price change is a linear combination of observed factors, impact resulting from the trader's current…

Trading and Market Microstructure · Quantitative Finance 2012-07-30 Beomsoo Park , Benjamin Van Roy

We regularly consider answering counterfactual questions in practice, such as "Would people with diabetes take a turn for the better had they choose another medication?". Observational studies are growing in significance in answering such…

Machine Learning · Computer Science 2022-08-16 Guanglin Zhou , Lina Yao , Xiwei Xu , Chen Wang , Liming Zhu

Reinforcement learning (RL) algorithms usually require a substantial amount of interaction data and perform well only for specific tasks in a fixed environment. In some scenarios such as healthcare, however, usually only few records are…

Machine Learning · Computer Science 2020-12-17 Chaochao Lu , Biwei Huang , Ke Wang , José Miguel Hernández-Lobato , Kun Zhang , Bernhard Schölkopf

Counterfactual Data Augmentation (CDA) is a commonly used technique for improving robustness in natural language classifiers. However, one fundamental challenge is how to discover meaningful counterfactuals and efficiently label them, with…

Computation and Language · Computer Science 2023-05-24 Ananth Balashankar , Xuezhi Wang , Yao Qin , Ben Packer , Nithum Thain , Jilin Chen , Ed H. Chi , Alex Beutel

Although numerous complex algorithms for treatment effect estimation have been developed in recent years, their effectiveness remains limited when handling insufficiently labeled training sets due to the high cost of labeling the effect…

Machine Learning · Computer Science 2025-05-09 Hechuan Wen , Tong Chen , Mingming Gong , Li Kheng Chai , Shazia Sadiq , Hongzhi Yin

A common statistical problem in econometrics is to estimate the impact of a treatment on a treated unit given a control sample with untreated outcomes. Here we develop a generative learning approach to this problem, learning the probability…

Machine Learning · Statistics 2019-10-17 Chirag Modi , Uros Seljak

We consider situations where consumers are aware that a statistical model determines the price of a product based on their observed behavior. Using a novel experiment varying the context similarity between participant data and a product, we…

General Economics · Economics 2024-11-14 Inácio Bó , Li Chen , Rustamdjan Hakimov

Choosing optimal (or at least better) policies is an important problem in domains from medicine to education to finance and many others. One approach to this problem is through controlled experiments/trials - but controlled experiments are…

Artificial Intelligence · Computer Science 2018-02-26 Onur Atan , William R. Zame , M van der Schaar

A/B tests, also known as randomized controlled experiments (RCTs), are the gold standard for evaluating the impact of new policies, products, or decisions. However, these tests can be costly in terms of time and resources, potentially…

Machine Learning · Statistics 2025-01-03 Shima Nassiri , Mohsen Bayati , Joe Cooprider

Measuring treatment effects in observational studies is challenging because of confounding bias. Confounding occurs when a variable affects both the treatment and the outcome. Traditional methods such as propensity score matching estimate…

Methodology · Statistics 2021-12-23 Bevan I. Smith , Charles Chimedza

We derive a formal, decision-based method for comparing the performance of counterfactual treatment regime predictions using the results of experiments that give relevant information on the distribution of treated outcomes. Our approach…

Methodology · Statistics 2019-07-24 Michael Gechter , Cyrus Samii , Rajeev Dehejia , Cristian Pop-Eleches

Pricing decisions are often made when market information is still poor. In turn, existing theoretical models often reason about the response of optimal prices to changing market characteristics without exploiting all available information…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis , Constandina Koki

What proportion of treated units actually benefited from an experimental intervention? What is the median or the largest individual treatment effect? This paper develops methods for answering such questions about the distribution of…

Methodology · Statistics 2026-05-11 David Kim , Yongchang Su , Jake Bowers , Xinran Li

Counterfactual prediction is about predicting outcome of the unobserved situation from the data. For example, given patient is on drug A, what would be the outcome if she switch to drug B. Most of existing works focus on modeling…

Machine Learning · Computer Science 2020-10-29 Yanbo Xu , Cao Xiao , Jimeng Sun

Interference between treated and untreated units is a source of bias in marketplace experiments. In this paper, we specifically consider pricing interventions, in which a platform seeks to adjust base pricing levels at the marketplace level…

Optimization and Control · Mathematics 2025-02-27 Arthur Delarue , Kleanthis Karakolios

Unfair pricing policies have been shown to be one of the most negative perceptions customers can have concerning pricing, and may result in long-term losses for a company. Despite the fact that dynamic pricing models help companies maximize…

Machine Learning · Computer Science 2018-03-28 Roberto Maestre , Juan Duque , Alberto Rubio , Juan Arévalo

As data-driven predictive models are increasingly used to inform decisions, it has been argued that decision makers should provide explanations that help individuals understand what would have to change for these decisions to be beneficial…

Machine Learning · Computer Science 2020-10-15 Stratis Tsirtsis , Manuel Gomez-Rodriguez

We study a problem of an online retailer who observes the unit sales of a product, and dynamically changes the retail price, in order to maximize the expected revenue. Assuming the demand of the product is price sensitive, we are interested…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Chengcheng Liu , Mátyás A. Sustik

Estimation and evaluation of individualized treatment rules have been studied extensively, but real-world treatment resource constraints have received limited attention in existing methods. We investigate a setting in which treatment is…

Methodology · Statistics 2022-11-24 Hongxiang Qiu , Marco Carone , Alex Luedtke