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In this article, a new solution for the convex hull problem has been presented. The convex hull is a widely known problem in computational geometry. As nature is a rich source of ideas in the field of algorithms, the solution has been…

Multiagent Systems · Computer Science 2022-12-26 Sina Saadati , Mohammadreza Razzazi

Recently, several methods have leveraged deep generative modeling to produce example-based explanations of image classifiers. Despite producing visually stunning results, these methods are largely disconnected from classical explainability…

Machine Learning · Computer Science 2025-09-11 Philipp Vaeth , Alexander M. Fruehwald , Benjamin Paassen , Magda Gregorova

We study the convex hulls of reachable sets of nonlinear systems with bounded disturbances and uncertain initial conditions. Reachable sets play a critical role in control, but remain notoriously challenging to compute, and existing…

Optimization and Control · Mathematics 2026-04-16 Thomas Lew , Riccardo Bonalli , Marco Pavone

Geometric modeling by constraints, whose applications are of interest to communities from various fields such as mechanical engineering, computer aided design, symbolic computation or molecular chemistry, is now integrated into standard…

Computational Geometry · Computer Science 2018-03-06 Samy Ait-Aoudia , Adel Moussaoui , Khaled Abid , Dominique Michelucci

With the increasing impact of algorithmic decision-making on human lives, the interpretability of models has become a critical issue in machine learning. Counterfactual explanation is an important method in the field of interpretable…

Machine Learning · Computer Science 2024-07-17 Ao Xu , Tieru Wu

Researchers have proposed a wide variety of model explanation approaches, but it remains unclear how most methods are related or when one method is preferable to another. We examine the literature and find that many methods are based on a…

Machine Learning · Computer Science 2022-08-24 Ian Covert , Scott Lundberg , Su-In Lee

Amid mounting concern about the reliability and credibility of machine learning research, we present a principled framework for making robust and generalizable claims: the multiverse analysis. Our framework builds upon the multiverse…

Machine Learning · Computer Science 2022-10-13 Samuel J. Bell , Onno P. Kampman , Jesse Dodge , Neil D. Lawrence

The popularity of self-supervised learning has made it possible to train models without relying on labeled data, which saves expensive annotation costs. However, most existing self-supervised contrastive learning methods often overlook the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Weiquan Li , Xianzhong Long , Yun Li

Dynamic topic modeling is widely used to analyze evolving trends in scientific literature, medical records, and social media. Traditional topic models represent each topic through a single probability vector on the multinomial simplex and…

Machine Learning · Computer Science 2026-05-28 Hanjia Gao , Hanwen Ye , Qing Nie , Annie Qu

An unsupervised shape analysis is proposed to learn concepts reflecting shape commonalities. Our approach is two-fold: i) a spatial topology analysis of point cloud segment constellations within objects is used in which constellations are…

Computer Vision and Pattern Recognition · Computer Science 2018-11-21 Christian A. Mueller , Andreas Birk

Interpretable machine learning seeks to understand the reasoning process of complex black-box systems that are long notorious for lack of explainability. One flourishing approach is through counterfactual explanations, which provide…

Artificial Intelligence · Computer Science 2023-06-02 Vy Vo , Trung Le , Van Nguyen , He Zhao , Edwin Bonilla , Gholamreza Haffari , Dinh Phung

Neural network have achieved remarkable successes in many scientific fields. However, the interpretability of the neural network model is still a major bottlenecks to deploy such technique into our daily life. The challenge can dive into…

Machine Learning · Computer Science 2023-10-26 Zhimin Li , Shusen Liu , Kailkhura Bhavya , Timo Bremer , Valerio Pascucci

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…

Human-Computer Interaction · Computer Science 2024-04-29 Eleonora Cappuccio , Daniele Fadda , Rosa Lanzilotti , Salvatore Rinzivillo

Locally interpretable model agnostic explanations (LIME) method is one of the most popular methods used to explain black-box models at a per example level. Although many variants have been proposed, few provide a simple way to produce high…

Machine Learning · Computer Science 2023-10-04 Amit Dhurandhar , Karthikeyan Ramamurthy , Kartik Ahuja , Vijay Arya

Attention mechanisms, especially self-attention, have played an increasingly important role in deep feature representation for visual tasks. Self-attention updates the feature at each position by computing a weighted sum of features using…

Computer Vision and Pattern Recognition · Computer Science 2021-06-01 Meng-Hao Guo , Zheng-Ning Liu , Tai-Jiang Mu , Shi-Min Hu

Magnitude of a finite metric space and the related notion of magnitude functions on metric spaces is an active area of research in algebraic topology. Magnitude originally arose in the context of biology, where it represents the number of…

Algebraic Topology · Mathematics 2019-08-08 Glenn Fung , Eric Bunch , Dan Dickinson

Learning high-quality feature embeddings efficiently and effectively is critical for the performance of web-scale machine learning systems. A typical model ingests hundreds of features with vocabularies on the order of millions to billions…

Machine Learning · Computer Science 2024-06-19 Benjamin Coleman , Wang-Cheng Kang , Matthew Fahrbach , Ruoxi Wang , Lichan Hong , Ed H. Chi , Derek Zhiyuan Cheng

With the adoption of machine learning into routine clinical practice comes the need for Explainable AI methods tailored to medical applications. Shapley values have sparked wide interest for locally explaining models. Here, we demonstrate…

Machine Learning · Computer Science 2024-02-02 Lucile Ter-Minassian , Sahra Ghalebikesabi , Karla Diaz-Ordaz , Chris Holmes

Benson's outer approximation algorithm and its variants are the most frequently used methods for solving linear multiobjective optimization problems. These algorithms have two intertwined components: one-dimensional linear optimization one…

Optimization and Control · Mathematics 2019-03-21 Laszlo Csirmaz

Many psychological theories can be operationalized as linear inequality constraints on the parameters of multinomial distributions (e.g., discrete choice analysis). These constraints can be described in two equivalent ways: Either as the…

Computation · Statistics 2019-04-23 Daniel W. Heck , Clintin P. Davis-Stober