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This paper proposes probabilistic conformal prediction (PCP), a predictive inference algorithm that estimates a target variable by a discontinuous predictive set. Given inputs, PCP construct the predictive set based on random samples from…

Machine Learning · Statistics 2022-06-22 Zhendong Wang , Ruijiang Gao , Mingzhang Yin , Mingyuan Zhou , David M. Blei

One of the main tasks of actuaries and data scientists is to build good predictive models for certain phenomena such as the claim size or the number of claims in insurance. These models ideally exploit given feature information to enhance…

Machine Learning · Statistics 2023-07-27 Tobias Fissler , Christian Lorentzen , Michael Mayer

In regression with random design, we study the problem of selecting a model that performs well for out-of-sample prediction. We do not assume that any of the candidate models under consideration are correct. Our analysis is based on…

Methodology · Statistics 2008-10-24 Hannes Leeb

Score matching is a vital tool for learning the distribution of data with applications across many areas including diffusion processes, energy based modelling, and graphical model estimation. Despite all these applications, little work…

Machine Learning · Statistics 2025-06-03 Josh Givens , Song Liu , Henry W J Reeve

Statistical samples, in order to be representative, have to be drawn from a population in a random and unbiased way. Nevertheless, it is common practice in the field of model-based diagnosis to make estimations from (biased) best-first…

Artificial Intelligence · Computer Science 2022-08-05 Patrick Rodler , Fatima Elichanova

In many parameter estimation problems, the exact model is unknown and is assumed to belong to a set of candidate models. In such cases, a predetermined data-based selection rule selects a parametric model from a set of candidates before the…

Signal Processing · Electrical Eng. & Systems 2025-04-25 Nadav Harel , Tirza Routtenberg

Prediction markets provide an efficient means to assess uncertain quantities from forecasters. Traditional and competitive strictly proper scoring rules have been shown to incentivize players to provide truthful probabilistic forecasts.…

Computer Science and Game Theory · Computer Science 2012-02-20 SangIn Chun , Ross D. Shachter

We compare probabilistic predictions of extreme temperature anomalies issued by two different forecast schemes. One is a dynamical physical weather model, the other a simple data model. We recall the concept of skill scores in order to…

Applications · Statistics 2013-12-17 Stefan Siegert , Jochen Broecker , Holger Kantz

Research in natural language processing proceeds, in part, by demonstrating that new models achieve superior performance (e.g., accuracy) on held-out test data, compared to previous results. In this paper, we demonstrate that test-set…

Machine Learning · Computer Science 2019-09-09 Jesse Dodge , Suchin Gururangan , Dallas Card , Roy Schwartz , Noah A. Smith

It has been argued persuasively that, in order to evaluate climate models, the probability distributions of model output need to be compared to the corresponding empirical distributions of observed data. Distance measures between…

Methodology · Statistics 2013-07-17 Thordis L. Thorarinsdottir , Tilmann Gneiting , Nadine Gissibl

Forecasts support decision making in a variety of applications. Statistical models can produce accurate forecasts given abundant training data, but when data is sparse, rapidly changing, or unavailable, statistical models may not be able to…

Applications · Statistics 2020-05-19 Thomas McAndrew , Nutcha Wattanachit , G. Casey Gibson , Nicholas G. Reich

Statistical analysis of extremes can be used to predict the probability of future extreme events, such as large rainfalls or devastating windstorms. The quality of these forecasts can be measured through scoring rules. Locally scale…

Methodology · Statistics 2024-02-22 Helga Kristin Olafsdottir , Holger Rootzén , David Bolin

Propensity scores are often used for stratification of treatment and control groups of subjects in observational data to remove confounding bias when estimating of causal effect of the treatment on an outcome in so-called potential outcome…

Statistics Theory · Mathematics 2018-04-24 Priyantha Wijayatunga

Recent papers have introduced a novel approach to explain why a Predictive Process Monitoring (PPM) model for outcome-oriented predictions provides wrong predictions. Moreover, they have shown how to exploit the explanations, obtained using…

Machine Learning · Computer Science 2023-03-28 Williams Rizzi , Chiara Di Francescomarino , Chiara Ghidini , Fabrizio Maria Maggi

Should prediction models always deliver a prediction? In the pursuit of maximum predictive performance, critical considerations of reliability and fairness are often overshadowed, particularly when it comes to the role of uncertainty.…

Machine Learning · Computer Science 2024-10-29 Anna Sokol , Nuno Moniz , Nitesh Chawla

State-of-the-art results in typical classification tasks are mostly achieved by unexplainable machine learning methods, like deep neural networks, for instance. Contrarily, in this paper, we investigate the application of rule learning…

Machine Learning · Computer Science 2024-03-11 Albert Nössig , Tobias Hell , Georg Moser

The predictions from an accurate prognostic model can be of great interest to patients and clinicians. When predictions are reported to individuals, they may decide to take action to improve their health or they may simply be comforted by…

Quantitative Methods · Quantitative Biology 2019-09-10 Michael C Sachs , Arvid Sjölander , Erin E Gabriel

Statistical models that include random effects are commonly used to analyze longitudinal and correlated data, often with strong and parametric assumptions about the random effects distribution. There is marked disagreement in the literature…

Methodology · Statistics 2012-01-11 Charles E. McCulloch , John M. Neuhaus

Predictive models are often introduced to decision-making tasks under the rationale that they improve performance over an existing decision-making policy. However, it is challenging to compare predictive performance against an existing…

Machine Learning · Computer Science 2024-06-13 Luke Guerdan , Amanda Coston , Kenneth Holstein , Zhiwei Steven Wu

The use of tiered warnings and multicategorical forecasts are ubiquitous in meteorological operations. Here, a flexible family of scoring functions is presented for evaluating the performance of ordered multicategorical forecasts. Each…

Applications · Statistics 2022-05-02 Robert Taggart , Nicholas Loveday , Deryn Griffiths