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Geometry problem solving (GPS) represents a critical frontier in artificial intelligence, with profound applications in education, computer-aided design, and computational graphics. Despite its significance, automating GPS remains…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Yurui Zhao , Xiang Wang , Jiahong Liu , Irwin King , Zhitao Huang

When three-dimensional bodies contain thin features, non-trivial topology, or scan-derived surfaces, volumetric meshing can become the dominant bottleneck in simulation workflows. We replace this step with a learned geometric…

Computational Physics · Physics 2026-04-02 WaiChing Sun

Gaussian Processes (GPs) offer an attractive method for regression over small, structured and correlated datasets. However, their deployment is hindered by computational costs and limited guidelines on how to apply GPs beyond simple…

Machine Learning · Computer Science 2023-07-18 Kenza Tazi , Jihao Andreas Lin , Ross Viljoen , Alex Gardner , ST John , Hong Ge , Richard E. Turner

Quantifying uncertainty in future climate projections is hindered by the prohibitive computational cost of running physical climate models, which severely limits the availability of training data. We propose a data-efficient framework for…

Methodology · Statistics 2026-02-27 Johannes Brachem , Paul F. V. Wiemann , Matthias Katzfuss

We present an approach for aggregating a sparse set of views of an object in order to compute a semi-implicit 3D representation in the form of a volumetric feature grid. Key to our approach is an object-centric canonical 3D coordinate…

Computer Vision and Pattern Recognition · Computer Science 2020-07-22 Shubham Tulsiani , Or Litany , Charles R. Qi , He Wang , Leonidas J. Guibas

Spatial data structures allow to make efficient queries on Geographical Information Systems (GIS). Spatial queries involve the geometry of the data, such as points, lines, or polygons. For instance, a spatial query could poll for the…

Databases · Computer Science 2022-11-11 Florent Grélard , Mehdi Ayadi , Mihaela Scuturici , Serge Miguet

Data warehouse store and provide access to large volume of historical data supporting the strategic decisions of organisations. Data warehouse is based on a multidimensional model which allow to express user's needs for supporting the…

Databases · Computer Science 2012-08-02 Saida Aissi , Mohamed Salah Gouider

Aggregate computation in relational databases has long been done using the standard unary aggregation and binary join operators. These implement the classical model of computing joins between relations two at a time, materializing the…

Databases · Computer Science 2019-06-18 Konstantinos Xirogiannopoulos , Amol Deshpande

The Spatial Knowledge Graphs (SKG) are experiencing growing adoption as a means to model real-world entities, proving especially invaluable in domains like crisis management and urban planning. Considering that RDF specifications offer…

Artificial Intelligence · Computer Science 2024-11-05 Amin Anjomshoaa , Hannah Schuster , Axel Polleres

The problem of identifying geometric structure in data is a cornerstone of (unsupervised) learning. As a result, Geometric Representation Learning has been widely applied across scientific and engineering domains. In this work, we…

Machine Learning · Computer Science 2025-06-03 Imran Nasim , Melanie Weber

We consider the problem of aggregating models learned from sequestered, possibly heterogeneous datasets. Exploiting tools from Bayesian nonparametrics, we develop a general meta-modeling framework that learns shared global latent structures…

Machine Learning · Statistics 2019-11-04 Mikhail Yurochkin , Mayank Agarwal , Soumya Ghosh , Kristjan Greenewald , Trong Nghia Hoang

The set theory relations \in, \backslash, \Delta, \cap, and \cup have corollaries in subspace relations. Geometric Algebra is introduced as the ideal framework to explore these subspace operations. The relations \in, \backslash, and \Delta…

Rings and Algebras · Mathematics 2007-05-23 T. A. Bouma , L. Dorst , H. G. J. Pijls

Graph data management (also called NoSQL) has revealed beneficial characteristics in terms of flexibility and scalability by differently balancing between query expressivity and schema flexibility. This peculiar advantage has resulted into…

Databases · Computer Science 2019-09-10 Harsh Thakkar , Dharmen Punjani , Soeren Auer , Maria-Esther Vidal

Answer Set Programming (ASP) emerged in the late 1990ies as a paradigm for Knowledge Representation and Reasoning. The attractiveness of ASP builds on an expressive high-level modeling language along with the availability of powerful…

Artificial Intelligence · Computer Science 2021-09-20 Mario Alviano , Wolfgang Faber , Martin Gebser

Correctly capturing the symmetry transformations of data can lead to efficient models with strong generalization capabilities, though methods incorporating symmetries often require prior knowledge. While recent advancements have been made…

This paper is about conceptual modeling of aggregates in software engineering. An aggregate is a cluster of domain objects that can be treated as a single unit. In UML, an aggregation is a type of association in which objects are configured…

Software Engineering · Computer Science 2022-08-25 Sabah Al-Fedaghi

Most previous works of outdoor instance segmentation for images only use color information. We explore a novel direction of sensor fusion to exploit stereo cameras. Geometric information from disparities helps separate overlapping objects…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Cho-Ying Wu , Xiaoyan Hu , Michael Happold , Qiangeng Xu , Ulrich Neumann

Spatial Online Analytical Processing System involves the non-categorical attribute information also whereas standard Online Analytical Processing System deals with only categorical attributes. Providing spatial information to the data…

Databases · Computer Science 2013-08-20 M. Laxmaiah , A. Govardhan

Data assimilation is a method that combines observations (that is, real world data) of a state of a system with model output for that system in order to improve the estimate of the state of the system and thereby the model output. The model…

Numerical Analysis · Mathematics 2020-05-18 Melina A. Freitag

In this work, we propose a novel framework for large-scale Gaussian process (GP) modeling. Contrary to the global, and local approximations proposed in the literature to address the computational bottleneck with exact GP modeling, we employ…

Machine Learning · Statistics 2023-12-19 Akhil Vakayil , Roshan Joseph
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