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We introduce a Loss Discounting Framework for model and forecast combination which generalises and combines Bayesian model synthesis and generalized Bayes methodologies. We use a loss function to score the performance of different models…

Methodology · Statistics 2024-03-29 Dawid Bernaciak , Jim E. Griffin

The method of model averaging has become an important tool to deal with model uncertainty, for example in situations where a large amount of different theories exist, as are common in economics. Model averaging is a natural and formal…

Applications · Statistics 2019-02-05 Mark F. J. Steel

Parameter ensembles or sets of random effects constitute one of the cornerstones of modern statistical practice. This is especially the case in Bayesian hierarchical models, where several decision theoretic frameworks can be deployed. The…

Statistics Theory · Mathematics 2015-03-19 Cedric E. Ginestet

In clinical prediction settings the importance of a high-dimensional feature like genomics is often assessed by evaluating the change in predictive performance when adding it to a set of traditional clinical variables. This approach is…

Machine Learning · Statistics 2026-03-06 Mark A. van de Wiel , Jeroen Goedhart , Martin Jullum , Kjersti Aas

Machine learning models trained on real-world data may inadvertently make biased predictions that negatively impact marginalized communities. Reweighting, which assigns a weight to each data point used during model training, can mitigate…

Machine Learning · Computer Science 2026-03-20 Anil K. Saini , Jose Guadalupe Hernandez , Emily F. Wong , Debanshi Misra , Tiffani J. Bright , Jason H. Moore

The weighted average is by far the most popular approach to combining multiple forecasts of some future outcome. This paper shows that both for probability or real-valued forecasts, a non-trivial weighted average of different forecasts is…

Methodology · Statistics 2015-09-28 Ville Satopää , Lyle Ungar

The doubly robust estimator, which models both the propensity score and outcomes, is a popular approach to estimate the average treatment effect in the potential outcome setting. The primary appeal of this estimator is its theoretical…

Methodology · Statistics 2024-09-11 Kaoru Babasaki , Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn

In many medical and business applications, researchers are interested in estimating individualized treatment effects using data from a randomized experiment. For example in medical applications, doctors learn the treatment effects from…

Methodology · Statistics 2022-03-01 Kevin Wu Han , Han Wu

We study the consistency of sample mean-variance portfolios of arbitrarily high dimension that are based on Bayesian or shrinkage estimation of the input parameters as well as weighted sampling. In an asymptotic setting where the number of…

Portfolio Management · Quantitative Finance 2015-05-30 Francisco Rubio , Xavier Mestre , Daniel P. Palomar

Practitioners making decisions based on causal effects typically ignore structural uncertainty. We analyze when this uncertainty is consequential enough to warrant methodological solutions (Bayesian model averaging over competing causal…

Machine Learning · Computer Science 2025-08-01 Maurits Kaptein

There has been increasing interest in recent years in the development of approaches to estimate causal effects when the number of potential confounders is prohibitively large. This growth in interest has led to a number of potential…

Methodology · Statistics 2020-02-05 Joseph Antonelli , Matthew Cefalu

Shapley value is a classic notion from game theory, historically used to quantify the contributions of individuals within groups, and more recently applied to assign values to data points when training machine learning models. Despite its…

Machine Learning · Computer Science 2020-02-28 Amirata Ghorbani , Michael P. Kim , James Zou

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

Machine Learning · Computer Science 2022-06-24 Patrick Echtenbruck , Martina Echtenbruck , Joost Batenburg , Thomas Bäck , Boris Naujoks , Michael Emmerich

Ensemble forecasting is a technique devised to palliate sensitivity to initial conditions in nonlinear dynamical systems. The basic idea to avoid this sensitivity is to run the model many times under several slightly-different initial…

Atmospheric and Oceanic Physics · Physics 2015-06-26 F J Tapiador , R Verdejo

Explaining AI systems is fundamental both to the development of high performing models and to the trust placed in them by their users. The Shapley framework for explainability has strength in its general applicability combined with its…

Machine Learning · Statistics 2021-12-21 Christopher Frye , Colin Rowat , Ilya Feige

An ensemble method is introduced that utilizes randomization and loss function gradients to compute a prediction. Multiple weakly-correlated estimators approximate the gradient at randomly sampled points on the error surface and are…

Machine Learning · Computer Science 2020-09-15 Nicholas Smith

Estimators that weight observed outcomes to form effect estimates have a long tradition. Their outcome weights are widely used in established procedures, such as checking covariate balance, characterizing target populations, or detecting…

Econometrics · Economics 2024-12-13 Michael C. Knaus

We propose probabilistic Shapley inference (PSI), a novel probabilistic framework to model and infer sufficient statistics of feature attributions in flexible predictive models, via latent random variables whose mean recovers Shapley…

Machine Learning · Computer Science 2025-09-09 Mert Ketenci , Iñigo Urteaga , Victor Alfonso Rodriguez , Noémie Elhadad , Adler Perotte

Reliability-oriented sensitivity analysis methods have been developed for understanding the influence of model inputs relative to events which characterize the failure of a system (e.g., a threshold exceedance of the model output). In this…

Statistics Theory · Mathematics 2025-07-04 Marouane Il Idrissi , Vincent Chabridon , Bertrand Iooss

We consider an investment process that includes a number of features, each of which can be active or inactive. Our goal is to attribute or decompose an achieved performance to each of these features, plus a baseline value. There are many…

Computational Finance · Quantitative Finance 2021-02-12 Nicholas Moehle , Stephen Boyd , Andrew Ang