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We consider the fundamental problem of matching a template to a signal. We do so by M-estimation, which encompasses procedures that are robust to gross errors (i.e., outliers). Using standard results from empirical process theory, we derive…

统计理论 · 数学 2020-09-10 Ery Arias-Castro , Lin Zheng

Behavioural economics provides labels for patterns in human economic behaviour. Probability weighting is one such label. It expresses a mismatch between probabilities used in a formal model of a decision (i.e. model parameters) and…

理论经济学 · 经济学 2020-05-04 Ole Peters , Alexander Adamou , Mark Kirstein , Yonatan Berman

Forecasting revenues by aggregating analyst forecasts is a fundamental problem in financial research and practice. A key objective in this context is to improve the accuracy of the forecast by optimizing two performance metrics: the hit…

统计方法学 · 统计学 2025-03-27 Henry D. van Eijk , Sujit K. Ghosh

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

计量经济学 · 经济学 2024-02-27 Felix Chan , Laszlo Matyas

We study the problem of observational causal inference with continuous treatments in the framework of inverse propensity-score weighting. To obtain stable weights, we design a new algorithm based on entropy balancing that learns weights to…

机器学习 · 计算机科学 2022-07-12 Mohammad Taha Bahadori , Eric Tchetgen Tchetgen , David E. Heckerman

Conventional inverse optimization inputs a solution and finds the parameters of an optimization model that render a given solution optimal. The literature mostly focuses on inferring the objective function in linear problems when accepted…

最优化与控制 · 数学 2024-10-10 Houra Mahmoudzadeh , Kimia Ghobadi

The doubly-robust (DR) estimator is popular for evaluating causal effects in observational studies and is often perceived as more desirable than inverse probability weighting (IPW) or outcome modeling alone because it provides extra…

统计方法学 · 统计学 2026-02-03 Chengxin Yang , Laine E. Thomas , Fan Li

The feedback data of recommender systems are often subject to what was exposed to the users; however, most learning and evaluation methods do not account for the underlying exposure mechanism. We first show in theory that applying…

信息检索 · 计算机科学 2020-12-07 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan

Imbalanced data pose challenges for deep learning based classification models. One of the most widely-used approaches for tackling imbalanced data is re-weighting, where training samples are associated with different weights in the loss…

机器学习 · 计算机科学 2022-08-08 Dandan Guo , Zhuo Li , Meixi Zheng , He Zhao , Mingyuan Zhou , Hongyuan Zha

A wide array of machine learning problems are formulated as the minimization of the expectation of a convex loss function on some parameter space. Since the probability distribution of the data of interest is usually unknown, it is is often…

最优化与控制 · 数学 2019-05-27 Emilie Chouzenoux , Henri Gérard , Jean-Christophe Pesquet

We provide a novel characterization of augmented balancing weights, also known as automatic debiased machine learning (AutoDML). These popular doubly robust or de-biased machine learning estimators combine outcome modeling with balancing…

统计方法学 · 统计学 2024-06-07 David Bruns-Smith , Oliver Dukes , Avi Feller , Elizabeth L. Ogburn

Estimating causal effects from observational data informs us about which factors are important in an autonomous system, and enables us to take better decisions. This is important because it has applications in selecting a treatment in…

机器学习 · 计算机科学 2021-10-29 Plabon Shaha , Talha Islam Zadid , Ismat Rahman , Md. Mosaddek Khan

We develop a theory of estimation when in addition to a sample of $n$ observed outcomes the underlying probabilities of the observed outcomes are known, as is typically the case in the context of numerical simulation modeling, e.g. in…

统计方法学 · 统计学 2023-04-14 Jobst Heitzig

Missing values arise in most real-world data sets due to the aggregation of multiple sources and intrinsically missing information (sensor failure, unanswered questions in surveys...). In fact, the very nature of missing values usually…

机器学习 · 统计学 2022-02-04 Alexis Ayme , Claire Boyer , Aymeric Dieuleveut , Erwan Scornet

In most nonrandomized observational studies, differences between treatment groups may arise not only due to the treatment but also because of the effect of confounders. Therefore, causal inference regarding the treatment effect is not as…

统计方法学 · 统计学 2018-07-04 Debashis Ghosh

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

统计方法学 · 统计学 2019-10-29 Miaomiao Wang , Guohua Zou

This article studies problems of optimal transport, by embedding them in a general functional analytic framework of convex optimization. This provides a unified treatment of a large class of related problems in probability theory and allows…

概率论 · 数学 2017-10-31 Teemu Pennanen , Ari-Pekka Perkkiö

A priori error bounds have been derived for different balancing-related model reduction methods. The most classical result is a bound for balanced truncation and singular perturbation approximation that is applicable for asymptotically…

数值分析 · 数学 2022-01-19 Björn Liljegren-Sailer

Generalizing causal estimates in randomized experiments to a broader target population is essential for guiding decisions by policymakers and practitioners in the social and biomedical sciences. While recent papers developed various…

统计方法学 · 统计学 2021-11-03 Melody Huang , Naoki Egami , Erin Hartman , Luke Miratrix

In empirical studies with time-to-event outcomes, investigators often leverage observational data to conduct causal inference on the effect of exposure when randomized controlled trial data is unavailable. Model misspecification and lack of…

统计方法学 · 统计学 2023-05-05 Shenbo Xu , Bang Zheng , Bowen Su , Stan Finkelstein , Roy Welsch , Kenney Ng , Ioanna Tzoulaki , Zach Shahn