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The Lov\'{a}sz Local Lemma (LLL) is a powerful tool in probabilistic combinatorics which can be used to establish the existence of objects that satisfy certain properties. The breakthrough paper of Moser and Tardos and follow-up works…

Data Structures and Algorithms · Computer Science 2025-09-09 David G. Harris , Fotis Iliopoulos , Vladimir Kolmogorov

The field of Statistical Relational Learning (SRL) is concerned with learning probabilistic models from relational data. Learned SRL models are typically represented using some kind of weighted logical formulas, which make them considerably…

Artificial Intelligence · Computer Science 2017-05-22 Ondrej Kuzelka , Jesse Davis , Steven Schockaert

Composite indicators are widely used to score or classify units evaluated on multiple criteria. Their construction typically involves aggregating criteria evaluations, a common practice in Multiple Criteria Decision Aiding (MCDA). Beyond…

Machine Learning · Computer Science 2026-03-04 Salvatore Corrente , Salvatore Greco , Roman Słowiński , Silvano Zappalà

The Local Lemma is a fundamental tool of probabilistic combinatorics and theoretical computer science, yet there are hardly any natural problems known where it provides an asymptotically tight answer. The main theme of our paper is to…

Combinatorics · Mathematics 2016-04-21 Heidi Gebauer , Tibor Szabo , Gabor Tardos

We model stochastic choice as environment-dependent switching among a small library of deterministic decision rules. A Random Rule Model generates menu-level choice probabilities via named, interpretable rules weighted by observable menu…

General Economics · Economics 2026-04-15 Avner Seror

An increasing number of decisions are guided by machine learning algorithms. In many settings, from consumer credit to criminal justice, those decisions are made by applying an estimator to data on an individual's observed behavior. But…

Theoretical Economics · Economics 2020-04-09 Daniel Björkegren , Joshua E. Blumenstock , Samsun Knight

Predict-then-Optimize is a framework for using machine learning to perform decision-making under uncertainty. The central research question it asks is, "How can the structure of a decision-making task be used to tailor ML models for that…

Machine Learning · Computer Science 2024-02-20 Sanket Shah , Andrew Perrault , Bryan Wilder , Milind Tambe

Experimental designs based on the classical D-optimal criterion minimize the volume of the linear-approximation inference regions for the parameters using local sensitivity coefficients. For nonlinear models, these designs can be unreliable…

Methodology · Statistics 2021-01-22 Hana Sulieman

Deep learning has made significant progress in the past decade, and demonstrates potential to solve problems with extensive social impact. In high-stakes decision making areas such as law, experts often require interpretability for…

Computation and Language · Computer Science 2023-05-29 Chu Fei Luo , Rohan Bhambhoria , Samuel Dahan , Xiaodan Zhu

The wide adoption of machine learning approaches in the industry, government, medicine and science has renewed the interest in interpretable machine learning: many decisions are too important to be delegated to black-box techniques such as…

Artificial Intelligence · Computer Science 2018-12-06 Dmitry Malioutov , Kuldeep S. Meel

A salient approach to interpretable machine learning is to restrict modeling to simple models. In the Bayesian framework, this can be pursued by restricting the model structure and prior to favor interpretable models. Fundamentally,…

Machine Learning · Computer Science 2020-09-08 Homayun Afrabandpey , Tomi Peltola , Juho Piironen , Aki Vehtari , Samuel Kaski

We consider the general problem of learning a predictor that satisfies multiple objectives of interest simultaneously, a broad framework that captures a range of specific learning goals including calibration, regret, and multiaccuracy. We…

Machine Learning · Computer Science 2026-02-17 Jivat Neet Kaur , Isaac Gibbs , Michael I. Jordan

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

Systems and Control · Computer Science 2017-01-11 Luca Bortolussi , Guido Sanguinetti

The evaluation of probabilistic forecasts plays a central role both in the interpretation and in the use of forecast systems and their development. Probabilistic scores (scoring rules) provide statistical measures to assess the quality of…

Methodology · Statistics 2020-12-24 Hailiang Du

An important factor in the practical implementation of optimization models is the acceptance by the intended users. This is influenced among other factors by the interpretability of the solution process. Decision rules that meet this…

Machine Learning · Computer Science 2024-12-03 Marc Goerigk , Michael Hartisch , Sebastian Merten

There has been growing interest in developing accurate models that can also be explained to humans. Unfortunately, if there exist multiple distinct but accurate models for some dataset, current machine learning methods are unlikely to find…

Machine Learning · Computer Science 2018-07-23 Andrew Slavin Ross , Weiwei Pan , Finale Doshi-Velez

Supervised Machine Learning (SML) algorithms such as Gradient Boosting, Random Forest, and Neural Networks have become popular in recent years due to their increased predictive performance over traditional statistical methods. This is…

Machine Learning · Statistics 2018-06-05 Linwei Hu , Jie Chen , Vijayan N. Nair , Agus Sudjianto

A fundamental question on the use of ML models concerns the explanation of their predictions for increasing transparency in decision-making. Although several interpretability methods have emerged, some gaps regarding the reliability of…

Machine Learning · Statistics 2022-09-13 Gilson Y. Shimizu , Rafael Izbicki , Andre C. P. L. F. de Carvalho

Machine learning has become omnipresent with applications in various safety-critical domains such as medical, law, and transportation. In these domains, high-stake decisions provided by machine learning necessitate researchers to design…

Machine Learning · Computer Science 2022-09-01 Bishwamittra Ghosh , Dmitry Malioutov , Kuldeep S. Meel

We present the Multi-vAlue Rule Set (MARS) model for interpretable classification with feature efficient presentations. MARS introduces a more generalized form of association rules that allows multiple values in a condition. Rules of this…

Artificial Intelligence · Computer Science 2017-10-17 Tong Wang
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