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Exploring the expansion history of the universe, understanding its evolutionary stages, and predicting its future evolution are important goals in astrophysics. Today, machine learning tools are used to help achieving these goals by…

Machine Learning · Computer Science 2026-03-10 Michael Franklin Mbouopda , Emille E. O. Ishida , Engelbert Mephu Nguifo , Emmanuel Gangler

Recent success in Artificial Intelligence (AI) and Machine Learning (ML) allow problem solving automatically without any human intervention. Autonomous approaches can be very convenient. However, in certain domains, e.g., in the medical…

Artificial Intelligence · Computer Science 2021-03-03 Andreas Holzinger , André Carrington , Heimo Müller

Interpreting complex machine learning models is a critical challenge, especially for tabular data where model transparency is paramount. Local Interpretable Model-Agnostic Explanations (LIME) has been a very popular framework for…

Machine Learning · Computer Science 2026-03-24 Mohamed Aymen Bouyahia , Argyris Kalogeratos

This text discusses several popular explanatory methods that go beyond the error measurements and plots traditionally used to assess machine learning models. Some of the explanatory methods are accepted tools of the trade while others are…

Machine Learning · Statistics 2020-06-02 Patrick Hall

Rule-based models offer a human-understandable representation, i.e. they are interpretable. For this reason, they are used to explain the decisions of non-interpretable complex models, referred to as black box models. The generation of such…

Artificial Intelligence · Computer Science 2025-03-03 Michał Kozielski , Marek Sikora , Łukasz Wawrowski

The polynomial chaos (PC) expansion has been widely used as a surrogate model in the Bayesian inference to speed up the Markov chain Monte Carlo (MCMC) calculations. However, the use of a PC surrogate introduces the modeling error, that may…

Numerical Analysis · Mathematics 2019-02-20 Liang Yan , Tao Zhou

As predictive models are increasingly being deployed in high-stakes decision-making, there has been a lot of interest in developing algorithms which can provide recourses to affected individuals. While developing such tools is important, it…

Machine Learning · Computer Science 2020-10-30 Kaivalya Rawal , Himabindu Lakkaraju

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

Large Reasoning Language Models (LRLMs or LRMs) demonstrate remarkable capabilities in complex reasoning tasks, but suffer from significant computational inefficiencies due to overthinking phenomena. Existing efficient reasoning methods…

Artificial Intelligence · Computer Science 2025-10-13 Dongqi Zheng

The number of local model-agnostic explanation techniques proposed has grown rapidly recently. One main reason is that the bar for developing new explainability techniques is low due to the lack of optimal evaluation measures. Without…

Machine Learning · Computer Science 2023-10-06 Amir Hossein Akhavan Rahnama

Artificial Intelligence (AI) is often an integral part of modern decision support systems. The best-performing predictive models used in AI-based decision support systems lack transparency. Explainable Artificial Intelligence (XAI) aims to…

Machine Learning · Computer Science 2025-02-25 Tuwe Löfström , Helena Löfström , Ulf Johansson , Cecilia Sönströd , Rudy Matela

Human core object recognition depends on the selective use of visual information, but the strategies guiding these choices are difficult to measure directly. We present MAPS (Masked Attribution-based Probing of Strategies), a behaviorally…

Neurons and Cognition · Quantitative Biology 2025-10-17 Sabine Muzellec , Yousif Kashef Alghetaa , Simon Kornblith , Kohitij Kar

The multivariate adaptive regression spline (MARS) approach of Friedman (1991) and its Bayesian counterpart (Francom et al. 2018) are effective approaches for the emulation of computer models. The traditional assumption of Gaussian errors…

Methodology · Statistics 2024-07-23 Kellin Rumsey , Devin Francom , Andy Shen

Most existing interpretable methods explain a black-box model in a post-hoc manner, which uses simpler models or data analysis techniques to interpret the predictions after the model is learned. However, they (a) may derive contradictory…

Machine Learning · Computer Science 2020-01-22 Mengzhuo Guo , Qingpeng Zhang , Xiuwu Liao , Daniel Dajun Zeng

Machine learning models play a vital role in time series forecasting. These models, however, often overlook an important element: point uncertainty estimates. Incorporating these estimates is crucial for effective risk management, informed…

Machine Learning · Computer Science 2024-09-11 Leonid Erlygin , Vladimir Zholobov , Valeriia Baklanova , Evgeny Sokolovskiy , Alexey Zaytsev

This paper describes a simple, but effective sampling method for optimizing and learning a discrete approximation (or surrogate) of a multi-dimensional function along a one-dimensional line segment of interest. The method does not rely on…

Optimization and Control · Mathematics 2023-07-21 Dimitri J. Papageorgiou , Jan Kronqvist , Krishnan Kumaran

EXplainable AI has received significant attention in recent years. Machine learning models often operate as black boxes, lacking explainability and transparency while supporting decision-making processes. Local post-hoc explainability…

Artificial Intelligence · Computer Science 2024-05-24 Gianvincenzo Alfano , Sergio Greco , Domenico Mandaglio , Francesco Parisi , Reza Shahbazian , Irina Trubitsyna

In additive models with many nonparametric components, a number of regularized estimators have been proposed and proven to attain various error bounds under different combinations of sparsity and fixed smoothness conditions. Some of these…

Statistics Theory · Mathematics 2020-11-16 Yisha Yao , Cun-Hui Zhang

Although deep models achieve high predictive performance, it is difficult for humans to understand the predictions they made. Explainability is important for real-world applications to justify their reliability. Many example-based…

Machine Learning · Statistics 2021-12-08 Tomoharu Iwata , Yuya Yoshikawa

Surrogate modeling is of great practical significance for parametric differential equation systems. In contrast to classical numerical methods, using physics-informed deep learning methods to construct simulators for such systems is a…

Numerical Analysis · Mathematics 2025-01-03 Xili Wang , Kejun Tang , Jiayu Zhai , Xiaoliang Wan , Chao Yang