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Selective classification (or classification with a reject option) pairs a classifier with a selection function to determine whether or not a prediction should be accepted. This framework trades off coverage (probability of accepting a…

Machine Learning · Computer Science 2023-02-23 Andrea Pugnana , Salvatore Ruggieri

We consider the problem of kernel classification. While worst-case bounds on the decay rate of the prediction error with the number of samples are known for some classifiers, they often fail to accurately describe the learning curves of…

Machine Learning · Statistics 2023-09-07 Hugo Cui , Bruno Loureiro , Florent Krzakala , Lenka Zdeborová

The rise in machine learning-assisted decision-making has led to concerns about the fairness of the decisions and techniques to mitigate problems of discrimination. If a negative decision is made about an individual (denying a loan,…

Machine Learning · Computer Science 2019-09-10 Vivek Gupta , Pegah Nokhiz , Chitradeep Dutta Roy , Suresh Venkatasubramanian

A common problem in numerous research areas, particularly in clinical trials, is to test whether the effect of an explanatory variable on an outcome variable is equivalent across different groups. In practice, these tests are frequently…

Methodology · Statistics 2024-05-03 Niklas Hagemann , Kathrin Möllenhoff

Reliable and robust evaluation methods are a necessary first step towards developing machine learning models that are themselves robust and reliable. Unfortunately, current evaluation protocols typically used to assess classifiers fail to…

Machine Learning · Computer Science 2025-05-26 Michael W. Spratling

Commonly used evaluation measures including Recall, Precision, F-Measure and Rand Accuracy are biased and should not be used without clear understanding of the biases, and corresponding identification of chance or base case levels of the…

Machine Learning · Computer Science 2020-11-02 David M. W. Powers

We examine the convergence properties of sequences of nonnegative real numbers that satisfy a particular class of recursive inequalities, from the perspective of proof theory and computability theory. We first establish a number of results…

Logic · Mathematics 2023-05-02 Morenikeji Neri , Thomas Powell

Commonly used metrics for evaluation of object detection systems (precision, recall, mAP) do not give complete information about their suitability of use in safety critical tasks, like obstacle detection for collision avoidance in…

Robotics · Computer Science 2021-07-08 Ayoosh Bansal , Jayati Singh , Micaela Verucchi , Marco Caccamo , Lui Sha

Contrastive learning (CL) methods effectively learn data representations in a self-supervision manner, where the encoder contrasts each positive sample over multiple negative samples via a one-vs-many softmax cross-entropy loss. By…

Machine Learning · Computer Science 2023-08-16 Huangjie Zheng , Xu Chen , Jiangchao Yao , Hongxia Yang , Chunyuan Li , Ya Zhang , Hao Zhang , Ivor Tsang , Jingren Zhou , Mingyuan Zhou

Probability predictions from binary regressions or machine learning methods ought to be calibrated: If an event is predicted to occur with probability $x$, it should materialize with approximately that frequency, which means that the…

Statistics Theory · Mathematics 2023-01-11 Timo Dimitriadis , Lutz Duembgen , Alexander Henzi , Marius Puke , Johanna Ziegel

The ROC (receiver operating characteristic) curve is a widely used device for assessing decision-making systems. It seems surprising, in view of its history dating back to World War Two, that the assignment of uncertainties to a ROC curve…

Data Analysis, Statistics and Probability · Physics 2024-08-19 M. P. Fewell

The existence of adversarial examples has led to considerable uncertainty regarding the trust one can justifiably put in predictions produced by automated systems. This uncertainty has, in turn, lead to considerable research effort in…

Machine Learning · Computer Science 2019-08-02 Christina Göpfert , Jan Philip Göpfert , Barbara Hammer

When evaluating medical tests or biomarkers for disease classification, the area under the receiver-operating characteristic (ROC) curve is a widely used performance metric that does not require us to commit to a specific decision…

Methodology · Statistics 2013-10-21 Wanhua Su , Yan Yuan , Mu Zhu

Processes are a crucial artefact in organizations, since they coordinate the execution of activities so that products and services are provided. The use of models to analyse the underlying processes is a well-known practice. However, due to…

Artificial Intelligence · Computer Science 2019-12-13 Thomas Chatain , Mathilde Boltenhagen , Josep Carmona

Learning with rejection has been a prototypical model for studying the human-AI interaction on prediction tasks. Upon the arrival of a sample instance, the model first uses a rejector to decide whether to accept and use the AI predictor to…

Machine Learning · Computer Science 2024-04-23 Xiaocheng Li , Shang Liu , Chunlin Sun , Hanzhao Wang

Evaluation often aims to reduce the correctness or error characteristics of a system down to a single number, but that always involves trade-offs. Another way of dealing with this is to quote two numbers, such as Recall and Precision, or…

Machine Learning · Computer Science 2020-09-03 David M. W. Powers

Real-world classification domains, such as medicine, health and safety, and finance, often exhibit imbalanced class priors and have asynchronous misclassification costs. In such cases, the classification model must achieve a high recall…

Machine Learning · Computer Science 2021-05-11 Michał Koziarski , Colin Bellinger , Michał Woźniak

Complex statistical machine learning models are increasingly being used or considered for use in high-stakes decision-making pipelines in domains such as financial services, health care, criminal justice and human services. These models are…

Applications · Statistics 2017-07-04 Alexandra Chouldechova , Max G'Sell

Many evaluation methods exist, each for a particular prediction task, and there are a number of prediction tasks commonly performed including classification and regression. In binarised regression, binary decisions are generated from a…

Machine Learning · Computer Science 2020-08-18 Matthew Dirks , David Poole

The estimated accuracy of a classifier is a random quantity with variability. A common practice in supervised machine learning, is thus to test if the estimated accuracy is significantly better than chance level. This method of signal…

Methodology · Statistics 2020-01-28 Jonathan D. Rosenblatt , Yuval Benjamini , Roee Gilron , Roy Mukamel , Jelle J. Goeman
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