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Artificial Intelligence algorithms have now become pervasive in multiple high-stakes domains. However, their internal logic can be obscure to humans. Explainable Artificial Intelligence aims to design tools and techniques to illustrate the…

人机交互 · 计算机科学 2024-04-29 Eleonora Cappuccio , Daniele Fadda , Rosa Lanzilotti , Salvatore Rinzivillo

In this paper, we present a significant improvement of Quick Hypervolume algorithm, one of the state-of-the-art algorithms for calculating exact hypervolume of the space dominated by a set of d-dimensional points. This value is often used…

神经与进化计算 · 计算机科学 2017-08-14 Andrzej Jaszkiewicz

The field of explainable artificial intelligence (XAI) attempts to develop methods that provide insight into how complicated machine learning methods make predictions. Many methods of explanation have focused on the concept of feature…

机器学习 · 计算机科学 2024-03-13 Kurt Butler , Guanchao Feng , Petar M. Djuric

A fundamental problem in statistics and learning theory is to test properties of distributions. We show that quantum computers can solve such problems with significant speed-ups. In particular, we give fast quantum algorithms for testing…

量子物理 · 物理学 2019-02-05 András Gilyén , Tongyang Li

Many problems that cloud operators solve are computationally expensive, and operators often use heuristic algorithms (that are faster and scale better than optimal) to solve them more efficiently. Heuristic analyzers enable operators to…

By any account, the 1998 proof of the Kepler conjecture is complex. The thesis underlying this article is that the proof is complex because it is highly under-automated. Throughout that proof, manual procedures are used where automated ones…

度量几何 · 数学 2007-05-23 Thomas C. Hales

Explainability techniques for data-driven predictive models based on artificial intelligence and machine learning algorithms allow us to better understand the operation of such systems and help to hold them accountable. New transparency…

机器学习 · 计算机科学 2022-09-09 Kacper Sokol , Alexander Hepburn , Raul Santos-Rodriguez , Peter Flach

With the increasing deployment of machine learning systems in practice, transparency and explainability have become serious issues. Contrastive explanations are considered to be useful and intuitive, in particular when it comes to…

机器学习 · 计算机科学 2021-01-05 André Artelt , Barbara Hammer

In recent years, various machine and deep learning architectures have been successfully introduced to the field of predictive process analytics. Nevertheless, the inherent opacity of these algorithms poses a significant challenge for human…

人工智能 · 计算机科学 2024-03-15 Alexander Stevens , Chun Ouyang , Johannes De Smedt , Catarina Moreira

The Halpern iteration for solving monotone inclusion problems has gained increasing interests in recent years due to its simple form and appealing convergence properties. In this paper, we investigate the inexact variants of the scheme in…

最优化与控制 · 数学 2025-05-28 Ling Liang , Zusen Xu , Kim-Chuan Toh , Jia-Jie Zhu

The main promise of quantum computing is to efficiently solve certain problems that are prohibitively expensive for a classical computer. Most problems with a proven quantum advantage involve the repeated use of a black box, or oracle,…

Explainable AI (xAI) interventions aim to improve interpretability for complex black-box models, not only to improve user trust but also as a means to extract scientific insights from high-performing predictive systems. In molecular…

机器学习 · 计算机科学 2025-04-04 Jonas Teufel , Annika Leinweber , Pascal Friederich

This paper was prompted by numerical experiments we performed, in which algorithms already available in the literature (DVS-BDDM) yielded accelerations (or speedups) many times larger (more than seventy in some examples already treated, but…

计算工程、金融与科学 · 计算机科学 2024-12-20 Ismael Herrera-Revilla , Iván Contreras , Graciela S. Herrera

Counterfactuals operationalised through algorithmic recourse have become a powerful tool to make artificial intelligence systems explainable. Conceptually, given an individual classified as y -- the factual -- we seek actions such that…

Explainable AI has attracted much research attention in recent years with feature attribution algorithms, which compute "feature importance" in predictions, becoming increasingly popular. However, there is little analysis of the validity of…

人工智能 · 计算机科学 2021-05-21 Orcun Yalcin , Xiuyi Fan , Siyuan Liu

Finite element methods typically require a high resolution to satisfactorily approximate micro and even macro patterns of an underlying physical model. This issue can be circumvented by appropriate multiscale strategies that are able to…

数值分析 · 数学 2025-12-24 Zhi-Song Liu , Roland Maier , Andreas Rupp

The need for transparency of predictive systems based on Machine Learning algorithms arises as a consequence of their ever-increasing proliferation in the industry. Whenever black-box algorithmic predictions influence human affairs, the…

机器学习 · 计算机科学 2020-02-11 Kacper Sokol , Peter Flach

Explaining firm decisions made by algorithms in customer-facing applications is increasingly required by regulators and expected by customers. While the emerging field of Explainable Artificial Intelligence (XAI) has mainly focused on…

人机交互 · 计算机科学 2021-07-07 Yanou Ramon , Tom Vermeire , Olivier Toubia , David Martens , Theodoros Evgeniou

Computer Algebra systems are widely spread because of some of their remarkable features such as their ease of use and performance. Nonetheless, this focus on performance sometimes leads to unwanted consequences: algorithms and computations…

计算机科学中的逻辑 · 计算机科学 2014-01-27 Jesús Aransay , Jose Divasón

Divide-and-conquer methods use large-sample approximations to provide frequentist guarantees when each block of data is both small enough to facilitate efficient computation and large enough to support approximately valid inferences. When…

统计方法学 · 统计学 2025-04-01 Emily C. Hector , Leonardo Cella , Ryan Martin