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Despite extensive focus on techniques for evaluating the performance of two learning algorithms on a single dataset, the critical challenge of developing statistical tests to compare multiple algorithms across various datasets has been…

Machine Learning · Computer Science 2025-12-16 Mohammad Abu-Shaira , Weishi Shi

Statistical tests that compare classification algorithms are univariate and use a single performance measure, e.g., misclassification error, $F$ measure, AUC, and so on. In multivariate tests, comparison is done using multiple measures…

Machine Learning · Statistics 2014-09-17 Olcay Taner Yildiz , Ethem Alpaydin

Friedman test is a nonparametric method that proposed for analyzing data from a randomized complete block design as a robust alternative to parametric method and widely applied in many fields such as agriculture, biology, business,…

Methodology · Statistics 2022-02-21 Elsayed A. H. Elamir

The experimental analysis of meta-heuristic algorithm performance is usually based on comparing average performance metric values over a set of algorithm instances. When algorithms getting tight in performance gains, the additional…

Data Structures and Algorithms · Computer Science 2013-11-07 Mario Koeppen , Kei Ohnishi

Rank-based inference methods are applied in various disciplines, typically when procedures relying on standard normal theory are not justifiable, for example when data are not symmetrically distributed, contain outliers, or responses are…

Statistics Theory · Mathematics 2018-02-16 Edgar Brunner , Frank Konietschke , Arne C. Bathke , Markus Pauly

The selection of the best classification algorithm for a given dataset is a very widespread problem. It is also a complex one, in the sense it requires to make several important methodological choices. Among them, in this work we focus on…

Machine Learning · Computer Science 2012-07-18 Vincent Labatut , Hocine Cherifi

Machine learning models are widely applied in various fields. Stakeholders often use post-hoc feature importance methods to better understand the input features' contribution to the models' predictions. The interpretation of the importance…

Machine Learning · Statistics 2024-04-19 Bitya Neuhof , Yuval Benjamini

Consistently checking the statistical significance of experimental results is the first mandatory step towards reproducible science. This paper presents a hitchhiker's guide to rigorous comparisons of reinforcement learning algorithms.…

Methodology · Statistics 2022-08-30 Cédric Colas , Olivier Sigaud , Pierre-Yves Oudeyer

Context: Differential testing is a useful approach that uses different implementations of the same algorithms and compares the results for software testing. In recent years, this approach was successfully used for test campaigns of deep…

Software Engineering · Computer Science 2022-07-26 Steffen Herbold , Steffen Tunkel

Algorithm evaluation and comparison are fundamental questions in machine learning and statistics -- how well does an algorithm perform at a given modeling task, and which algorithm performs best? Many methods have been developed to assess…

Statistics Theory · Mathematics 2025-11-25 Yuetian Luo , Rina Foygel Barber

In many applications, it is desirable that a classifier not only makes accurate predictions, but also outputs calibrated posterior probabilities. However, many existing classifiers, especially deep neural network classifiers, tend to be…

Machine Learning · Statistics 2021-06-24 Xingchen Ma , Matthew B. Blaschko

The results from most machine learning experiments are used for a specific purpose and then discarded. This results in a significant loss of information and requires rerunning experiments to compare learning algorithms. This also requires…

Machine Learning · Statistics 2014-06-06 Michael R. Smith , Andrew White , Christophe Giraud-Carrier , Tony Martinez

The validity of classical hypothesis testing requires the significance level $\alpha$ be fixed before any statistical analysis takes place. This is a stringent requirement. For instance, it prohibits updating $\alpha$ during (or after) an…

Statistics Theory · Mathematics 2026-01-21 Ben Chugg , Tyron Lardy , Aaditya Ramdas , Peter Grünwald

In classification problems when multiples algorithms are applied to different benchmarks a difficult issue arises, i.e., how can we rank the algorithms? In machine learning it is common run the algorithms several times and then a statistic…

Machine Learning · Computer Science 2016-10-25 Andre G. C. Pacheco , Renato A. Krohling

Model selection in non-linear models often prioritizes performance metrics over statistical tests, limiting the ability to account for sampling variability. We propose the use of a statistical test to assess the equality of variances in…

Machine Learning · Statistics 2025-09-16 Argimiro Arratia , Alejandra Cabaña , Ernesto Mordecki , Gerard Rovira-Parra

An experimental comparison of two or more optimization algorithms requires the same computational resources to be assigned to each algorithm. When a maximum runtime is set as the stopping criterion, all algorithms need to be executed in the…

Performance · Computer Science 2024-02-09 Etor Arza , Josu Ceberio , Ekhiñe Irurozki , Aritz Pérez

Bipartite ranking, which aims to learn a scoring function that ranks positive individuals higher than negative ones from labeled data, is widely adopted in various applications where sample prioritization is needed. Recently, there have…

Machine Learning · Computer Science 2021-06-08 Sen Cui , Weishen Pan , Changshui Zhang , Fei Wang

Standard tests of the "no-treatment-effect" hypothesis for a comparative experiment include permutation tests, the Wilcoxon rank sum test, two-sample $t$ tests, and Fisher-type randomization tests. Practitioners are aware that these…

Methodology · Statistics 2015-09-11 Joseph B. Lang

In Multi-Criteria Decision Analysis, Rank Reversals are a serious problem that can greatly affect the results of a Multi-Criteria Decision Method against a particular set of alternatives. It is therefore useful to have a mechanism that…

Developing state-of-the-art approaches for specific tasks is a major driving force in our research community. Depending on the prestige of the task, publishing it can come along with a lot of visibility. The question arises how reliable are…

Machine Learning · Computer Science 2018-03-28 Nils Reimers , Iryna Gurevych
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