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Individualized treatment decisions can improve health outcomes, but using data to make these decisions in a reliable, precise, and generalizable way is challenging with a single dataset. Leveraging multiple randomized controlled trials…

A central goal of causal inference is to detect and estimate the treatment effects of a given treatment or intervention on an outcome variable of interest, where a member known as the heterogeneous treatment effect (HTE) is of growing…

Statistics Theory · Mathematics 2020-10-27 Zijun Gao , Yanjun Han

The paper proposes an estimator to make inference of heterogeneous treatment effects sorted by impact groups (GATES) for non-randomised experiments. The groups can be understood as a broader aggregation of the conditional average treatment…

Econometrics · Economics 2020-03-30 Daniel Jacob

Estimating individualised treatment effect (ITE) -- that is the causal effect of a set of variables (also called exposures, treatments, actions, policies, or interventions), referred to as \textit{composite treatments}, on a set of outcome…

Machine Learning · Computer Science 2025-12-19 Vinod Kumar Chauhan , Lei Clifton , Gaurav Nigam , David A. Clifton

We propose an entanglement concentration scheme which uses only the effects of quantum statistics of indistinguishable particles. This establishes the fact that useful quantum information processing can be accomplished by quantum statistics…

Quantum Physics · Physics 2009-11-07 N. Paunkovic , Y. Omar , S. Bose , V. Vedral

Data mining is a key technology in big data analytics and it can discover understandable knowledge (patterns) hidden in large data sets. Association rule is one of the most useful knowledge patterns, and a large number of algorithms have…

Quantum Physics · Physics 2016-01-15 Shenggang Ying , Mingsheng Ying , Yuan Feng

Understanding treatment effect heterogeneity has become an increasingly popular task in various fields, as it helps design personalized advertisements in e-commerce or targeted treatment in biomedical studies. However, most of the existing…

Methodology · Statistics 2024-07-12 Waverly Wei , Xinwei Ma , Jingshen Wang

The purpose of quantum private comparison (QPC) is to solve "Tierce problem" using quantum mechanics laws, where the "Tierce problem" is to judge whether the secret data of two participants are equal under the condition of protecting data…

Quantum Physics · Physics 2022-05-17 Peiru Fan , Atta Ur Rahman , Zhaoxu Ji , Xiangmin Ji , Zhiqiang Hao , Huanguo Zhang

We study the problem of maximizing privacy of quantized sensor measurements by adding random variables. In particular, we consider the setting where information about the state of a process is obtained using noisy sensor measurements. This…

Systems and Control · Computer Science 2018-09-11 Carlos Murguia , Iman Shames , Farhad Farokhi , Dragan Nesic

Statistical inference of heterogeneous treatment effects (HTEs) across predefined subgroups is challenging when units interact because treatment effects may vary by pre-treatment variables, post-treatment exposure variables (that measure…

Econometrics · Economics 2024-10-02 Julius Owusu

In the recent literature on estimating heterogeneous treatment effects, each proposed method makes its own set of restrictive assumptions about the intervention's effects and which subpopulations to explicitly estimate. Moreover, the…

Methodology · Statistics 2023-05-12 Edward McFowland , Sriram Somanchi , Daniel B. Neill

Differential privacy is a mathematical notion of data privacy that has fast become the de facto standard in privacy-preserving data analysis. Recently a lot of work has focused on differential privacy in the quantum setting. Continuing on…

Quantum Physics · Physics 2026-04-14 Arghya Mukherjee , Hassan Jameel Asghar , Gavin K. Brennen

The outcome statistics of an informationally complete quantum measurement for a system in a given state can be used to evaluate the ensemble expectation of any linear operator in the same state, by averaging a function of the outcomes that…

Quantum Physics · Physics 2009-12-21 G. M. D'Ariano , D. F. Magnani , P. Perinotti

In this paper, we examine the role of stochastic quantizers for privacy preservation. We first employ a static stochastic quantizer and investigate its corresponding privacy-preserving properties. Specifically, we demonstrate that a…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Le Liu , Yu Kawano , Ming Cao

A new meta-algorithm for estimating the conditional average treatment effects is proposed in the paper. The main idea underlying the algorithm is to consider a new dataset consisting of feature vectors produced by means of concatenation of…

Machine Learning · Statistics 2019-09-10 Lev V. Utkin , Mikhail V. Kots , Viacheslav S. Chukanov

Quantile regression is a method to estimate the quantiles of the conditional distribution of a response variable, and as such it permits a much more accurate portrayal of the relationship between the response variable and observed…

Data Structures and Algorithms · Computer Science 2014-01-08 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

Differential privacy is widely adopted to provide provable privacy guarantees in data analysis. We consider the problem of combining public and private data (and, more generally, data with heterogeneous privacy needs) for estimating…

Machine Learning · Computer Science 2021-11-02 Cecilia Ferrando , Jennifer Gillenwater , Alex Kulesza

Networked applications have software components that reside on different computers. Email, for example, has database, processing, and user interface components that can be distributed across a network and shared by users in different…

Methodology · Statistics 2007-08-03 John M. Chambers , David A. James , Diane Lambert , Scott Vander Wiel

Adaptive experiments improve efficiency by adjusting treatment assignments based on past outcomes, but this adaptivity breaks the i.i.d.\ assumptions that underpin classical asymptotics. At the same time, many questions of interest are…

Machine Learning · Statistics 2026-05-05 Houssam Zenati , Bariscan Bozkurt , Arthur Gretton

Developing tools for estimating heterogeneous treatment effects (HTE) and individualized treatment effects has been an area of active research in recent years. While these tools have proven to be useful in many contexts, a concern when…

Methodology · Statistics 2025-03-07 Mahsa Ashouri , Nicholas C. Henderson