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A set of probabilistic predictions is well calibrated if the events that are predicted to occur with probability p do in fact occur about p fraction of the time. Well calibrated predictions are particularly important when machine learning…

Machine Learning · Statistics 2014-01-14 Mahdi Pakdaman Naeini , Gregory F. Cooper , Milos Hauskrecht

It is a common misconception that in order to make consistent profits as a trader, one needs to posses some extra information leading to an asset value estimation more accurate than that reflected by the current market price. While the idea…

Computational Engineering, Finance, and Science · Computer Science 2020-10-26 Ondřej Hubáček , Gustav Šír

In situations where forecasters are scored on the quality of their probabilistic predictions, it is standard to use `proper' scoring rules to perform such scoring. These rules are desirable because they give forecasters no incentive to lie…

Methodology · Statistics 2020-08-25 Spencer Greenberg

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

Machine Learning · Computer Science 2012-07-02 Koby Crammer , Amir Globerson

Decision trees built with data remain in widespread use for nonparametric prediction. Predicting probability distributions is preferred over point predictions when uncertainty plays a prominent role in analysis and decision-making. We study…

Methodology · Statistics 2024-06-21 Sara Shashaani , Ozge Surer , Matthew Plumlee , Seth Guikema

Cromwell's rule (also known as the zero priors paradox) refers to the constraint of classical probability theory that if one assigns a prior probability of 0 or 1 to a hypothesis, then the posterior has to be 0 or 1 as well (this is a…

Neurons and Cognition · Quantitative Biology 2018-08-07 Irina Basieva , Emmanuel Pothos , Jennifer Trueblood , Andrei Khrennikov , Jerome Busemeyer

Proper scoring rules evaluate the quality of probabilistic predictions, playing an essential role in the pursuit of accurate and well-calibrated models. Every proper score decomposes into two fundamental components -- proper calibration…

Machine Learning · Computer Science 2023-12-15 Teodora Popordanoska , Sebastian G. Gruber , Aleksei Tiulpin , Florian Buettner , Matthew B. Blaschko

We demonstrate that a wide array of machine learning algorithms are specific instances of one single paradigm: reciprocal learning. These instances range from active learning over multi-armed bandits to self-training. We show that all these…

Machine Learning · Statistics 2024-11-05 Julian Rodemann , Christoph Jansen , Georg Schollmeyer

In real-world applications, one often encounters ambiguously labeled data, where different annotators assign conflicting class labels. Partial-label learning allows training classifiers in this weakly supervised setting, where…

Machine Learning · Computer Science 2025-10-27 Tobias Fuchs , Florian Kalinke , Klemens Böhm

Models of updating a set of priors either do not allow a decision maker to make inference about her priors (full bayesian updating or FB) or require an extreme degree of selection (maximum likelihood updating or ML). I characterize a…

Theoretical Economics · Economics 2023-03-21 Matthew Kovach

When dealing with multi-class classification problems, it is common practice to build a model consisting of a series of binary classifiers using a learning paradigm which dictates how the classifiers are built and combined to discriminate…

Machine Learning · Computer Science 2021-01-06 Daniel Cauchi , Adrian Muscat

Inverse reinforcement learning (IRL) addresses the problem of recovering a task description given a demonstration of the optimal policy used to solve such a task. The optimal policy is usually provided by an expert or teacher, making IRL…

Machine Learning · Computer Science 2012-02-09 Héctor Ratia , Luis Montesano , Ruben Martinez-Cantin

Algorithmic decision-making in practice must be fair for legal, ethical, and societal reasons. To achieve this, prior research has contributed various approaches that ensure fairness in machine learning predictions, while comparatively…

Machine Learning · Computer Science 2023-10-10 Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

There are several scoring rules that one can choose from in order to score probabilistic forecasting models or estimate model parameters. Whilst it is generally agreed that proper scoring rules are preferable, there is no clear criterion…

Statistics Theory · Mathematics 2012-07-25 Reason Lesego Machete

Learning to reject provide a learning paradigm which allows for our models to abstain from making predictions. One way to learn the rejector is to learn an ideal marginal distribution (w.r.t. the input domain) - which characterizes a…

Machine Learning · Statistics 2025-05-09 Alexander Soen

We pose causal inference as the problem of learning to classify probability distributions. In particular, we assume access to a collection $\{(S_i,l_i)\}_{i=1}^n$, where each $S_i$ is a sample drawn from the probability distribution of $X_i…

Machine Learning · Statistics 2015-05-20 David Lopez-Paz , Krikamol Muandet , Bernhard Schölkopf , Ilya Tolstikhin

Machine and Statistical learning techniques become more and more important for the analysis of psychological data. Four core concepts of machine learning are the bias variance trade-off, cross-validation, regularization, and basis…

In learning-to-learn the goal is to infer a learning algorithm that works well on a class of tasks sampled from an unknown meta distribution. In contrast to previous work on batch learning-to-learn, we consider a scenario where tasks are…

Machine Learning · Statistics 2018-03-23 Giulia Denevi , Carlo Ciliberto , Dimitris Stamos , Massimiliano Pontil

Since their introduction a year ago, distributional approaches to reinforcement learning (distributional RL) have produced strong results relative to the standard approach which models expected values (expected RL). However, aside from…

Machine Learning · Computer Science 2019-02-22 Clare Lyle , Pablo Samuel Castro , Marc G. Bellemare

Machine learning systems often do not share the same inductive biases as humans and, as a result, extrapolate or generalize in ways that are inconsistent with our expectations. The trade-off between exemplar- and rule-based generalization…

Machine Learning · Computer Science 2022-06-20 Ishita Dasgupta , Erin Grant , Thomas L. Griffiths