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This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

Machine Learning · Statistics 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

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

Over the last few years, there has been a growing interest in the prediction and modelling of competitive sports outcomes, with particular emphasis placed on this area by the Bayesian statistics and machine learning communities. In this…

Applications · Statistics 2024-12-17 Roberto Macrì Demartino , Leonardo Egidi , Nicola Torelli

Causal inference using observational text data is becoming increasingly popular in many research areas. This paper presents the Bayesian Topic Regression (BTR) model that uses both text and numerical information to model an outcome…

Machine Learning · Statistics 2021-09-14 Maximilian Ahrens , Julian Ashwin , Jan-Peter Calliess , Vu Nguyen

There is an increasing amount of literature focused on Bayesian computational methods to address problems with intractable likelihood. One approach is a set of algorithms known as Approximate Bayesian Computational (ABC) methods. One of the…

Methodology · Statistics 2015-10-27 Weixuan Zhu , Juan Miguel Marin , Fabrizio Leisen

Mendelian randomization (MR) is a statistical method exploiting genetic variants as instrumental variables to estimate the causal effect of modifiable risk factors on an outcome of interest. Despite wide uses of various popular two-sample…

Methodology · Statistics 2021-11-17 Anqi Wang , Zhonghua Liu

We propose the Heterogeneous Thurstone Model (HTM) for aggregating ranked data, which can take the accuracy levels of different users into account. By allowing different noise distributions, the proposed HTM model maintains the generality…

Machine Learning · Computer Science 2019-12-04 Tao Jin , Pan Xu , Quanquan Gu , Farzad Farnoud

Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

Machine Learning · Computer Science 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

The standard way to evaluate language models on subjective tasks is through pairwise comparisons: an annotator chooses the "better" of two responses to a prompt. Leaderboards aggregate these comparisons into a single Bradley-Terry (BT)…

Machine Learning · Computer Science 2026-02-26 Hadi Khalaf , Serena L. Wang , Daniel Halpern , Itai Shapira , Flavio du Pin Calmon , Ariel D. Procaccia

Multiple Classifier Systems (MCSs) allow evaluation of the uncertainty of classification outcomes that is of crucial importance for safety critical applications. The uncertainty of classification is determined by a trade-off between the…

Following an extensive simulation study comparing the operating characteristics of three different procedures used for establishing equivalence (the frequentist "TOST", the Bayesian "HDI-ROPE", and the Bayes factor interval null procedure),…

Methodology · Statistics 2022-03-15 Harlan Campbell , Paul Gustafson

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

Rank aggregation based on pairwise comparisons over a set of items has a wide range of applications. Although considerable research has been devoted to the development of rank aggregation algorithms, one basic question is how to efficiently…

Machine Learning · Statistics 2016-12-22 Xi Chen , Kevin Jiao , Qihang Lin

Model merging aims to combine multiple task-specific expert models into a single model without joint retraining, offering a practical alternative to multi-task learning when data access or computational budget is limited. Existing methods,…

Machine Learning · Computer Science 2026-05-14 Kaiyang Li , Shaobo Han , Qing Su , Shihao Ji

In this paper we experimentally compare the classification uncertainty of the randomised Decision Tree (DT) ensemble technique and the Bayesian DT technique with a restarting strategy on a synthetic dataset as well as on some datasets…

Artificial Intelligence · Computer Science 2007-05-23 V. Schetinin , D. Partridge , W. J. Krzanowski , R. M. Everson , J. E. Fieldsend , T. C. Bailey , A. Hernandez

Selecting an optimization algorithm requires comparing candidates across problem instances, but the computational budget for deployment is often unknown at benchmarking time. Current methods either collapse anytime performance into a…

Neural and Evolutionary Computing · Computer Science 2026-03-10 Jonathan Wurth , Helena Stegherr , Neele Kemper , Michael Heider , Jörg Hähner

As the interest in multi- and many-objective optimization algorithms grows, the performance comparison of these algorithms becomes increasingly important. A large number of performance indicators for multi-objective optimization algorithms…

Artificial Intelligence · Computer Science 2024-11-28 Amin Ibrahim , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

Dynamic treatment regimes (DTRs) are sequences of decision rules designed to tailor treatment based on patients' treatment history and evolving disease status. Ordinal outcomes frequently serve as primary endpoints in clinical trials and…

Methodology · Statistics 2025-03-11 Xinru Wang , Tanujit Chakraborty , Bibhas Chakraborty

This article surveys recent progress in the Bradley-Terry (BT) model and its extensions. We focus on the statistical and computational aspects, with emphasis on the regime in which both the number of objects and the volume of comparisons…

Methodology · Statistics 2026-01-23 Shuxing Fang , Ruijian Han , Yuanhang Luo , Yiming Xu

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko