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The theory of optimal choice sets is a solution theory that has a long and well-established tradition in social choice and game theories. Some of important general solution concepts of choice problems when the set of best alternatives does…

Theoretical Economics · Economics 2024-03-08 Athanasios Andrikopoulos , Nikolaos Sampanis

Accurate prediction of molecular metabolic stability (MS) is critical for drug research and development but remains challenging due to the complex interplay of molecular interactions. Despite recent advances in graph neural networks (GNNs)…

Machine Learning · Computer Science 2025-06-03 Peijin Guo , Minghui Li , Hewen Pan , Bowen Chen , Yang Wu , Zikang Guo , Leo Yu Zhang , Shengshan Hu , Shengqing Hu

Feature selection, as a vital dimension reduction technique, reduces data dimension by identifying an essential subset of input features, which can facilitate interpretable insights into learning and inference processes. Algorithmic…

Machine Learning · Computer Science 2022-01-06 Xinxing Wu , Qiang Cheng

Interpretable classification models are built with the purpose of providing a comprehensible description of the decision logic to an external oversight agent. When considered in isolation, a decision tree, a set of classification rules, or…

Machine Learning · Computer Science 2019-03-18 Riccardo Guidotti , Salvatore Ruggieri

Fitting models with high predictive accuracy that include all relevant but no irrelevant or redundant features is a challenging task on data sets with similar (e.g. highly correlated) features. We propose the approach of tuning the…

Machine Learning · Statistics 2022-03-23 Andrea Bommert , Jörg Rahnenführer , Michel Lang

A key property for systems subject to uncertainty in their operating environment is robustness, ensuring that unmodelled, but bounded, disturbances have only a proportionally bounded effect upon the behaviours of the system. Inspired by…

Systems and Control · Computer Science 2011-08-24 Rupak Majumdar , Elaine Render , Paulo Tabuada

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

Probability · Mathematics 2020-06-16 Xinjia Chen

Some argue that political stability is best served through a two-party system. This study refutes this. The author mathematically defines the stability and rigidity of electoral systems comprised of any quantity of electors and parties. In…

Economics · Quantitative Finance 2016-08-18 Michael Y. Levy

Rapid progress in Neural Machine Translation (NMT) systems over the last few years has been driven primarily towards improving translation quality, and as a secondary focus, improved robustness to input perturbations (e.g. spelling and…

Computation and Language · Computer Science 2021-04-16 Prasanna Parthasarathi , Koustuv Sinha , Joelle Pineau , Adina Williams

On the basis of an analysis of previous research, we present a generalized approach for measuring the difference of plans with an exemplary application to machine scheduling. Our work is motivated by the need for such measures, which are…

Artificial Intelligence · Computer Science 2015-03-17 Martin Josef Geiger

Most networks encountered in nature, society, and technology have weighted edges, representing the strength of the interaction/association between their vertices. Randomizing the structure of a network is a classic procedure used to…

Physics and Society · Physics 2025-10-29 Filipi N. Silva , Sadamori Kojaku , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

Deep neural networks have proven to be extremely powerful, however, they are also vulnerable to adversarial attacks which can cause hazardous incorrect predictions in safety-critical applications. Certified robustness via randomized…

Machine Learning · Computer Science 2024-10-29 Sina Däubener , Kira Maag , David Krueger , Asja Fischer

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

Statistical Finance · Quantitative Finance 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

Trustworthy machine learning aims at combating distributional uncertainties in training data distributions compared to population distributions. Typical treatment frameworks include the Bayesian approach, (min-max) distributionally robust…

Machine Learning · Computer Science 2025-05-05 Shixiong Wang , Haowei Wang , Xinke Li , Jean Honorio

Standard evaluation metrics for machine learning -- accuracy, precision, recall, and AUROC -- assume that all errors are equivalent: a confident incorrect prediction is penalized identically to an uncertain one. For discrete commitment…

Machine Learning · Computer Science 2026-03-03 Datorien L. Anderson

Several recent works encourage the use of a Bayesian framework when assessing performance and fairness metrics of a classification algorithm in a supervised setting. We propose the Uncertainty Matters (UM) framework that generalizes a…

Machine Learning · Computer Science 2023-02-03 Ainhize Barrainkua , Paula Gordaliza , Jose A. Lozano , Novi Quadrianto

Plausibility is a formalization of exact tests for parametric models and generalizes procedures such as Fisher's exact test. The resulting tests are based on cumulative probabilities of the probability density function and evaluate…

Statistics Theory · Mathematics 2021-09-13 Stefan Böhringer , Dietmar Lohmann

Machine learning (ML) systems are increasingly deployed in high-stakes domains where reliability is paramount. This thesis investigates how uncertainty estimation can enhance the safety and trustworthiness of ML, focusing on selective…

Machine Learning · Computer Science 2025-09-09 Stephan Rabanser

Stability is a central property in learning and statistics promising the output of an algorithm $A$ does not change substantially when applied to similar datasets $S$ and $S'$. It is an elementary fact that any sufficiently stable algorithm…

Machine Learning · Computer Science 2025-02-13 Max Hopkins , Shay Moran

How much unavoidable randomness is generated by a Positive Operator Valued Measure (POVM)? We address this question using two complementary approaches. First we study the variance of a real variable associated to the POVM outcomes. In this…

Quantum Physics · Physics 2011-06-03 Serge Massar