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We present in this paper a framework which leverages the underlying topology of a data set, in order to produce appropriate coordinate representations. In particular, we show how to construct maps to real and complex projective spaces,…

Algebraic Topology · Mathematics 2017-08-10 Jose A. Perea

Pore-scale modeling and simulation of reactive flow in porous media has a range of diverse applications, and poses a number of research challenges. It is known that the morphology of a porous medium has significant influence on the local…

Computational Engineering, Finance, and Science · Computer Science 2015-07-09 Oleg Iliev , Zahra Lakdawala , Katherine Leonard , Yavor Vutov

Principal Component Analysis (PCA) is the workhorse tool for dimensionality reduction in this era of big data. While often overlooked, the purpose of PCA is not only to reduce data dimensionality, but also to yield features that are…

Machine Learning · Computer Science 2021-11-30 Arpita Gang , Waheed U. Bajwa

Deep generative models are universal tools for learning data distributions on high dimensional data spaces via a mapping to lower dimensional latent spaces. We provide a study of latent space geometries and extend and build upon previous…

Machine Learning · Computer Science 2019-02-07 Max F. Frenzel , Bogdan Teleaga , Asahi Ushio

In this article we describe a program -- called planar_draw -- to draw maps on oriented surfaces in the plane. The drawings are coded as tikz files that can easily be manipulated and used in latex documents. Next to plane maps -- a case for…

Computational Geometry · Computer Science 2025-05-19 Gunnar Brinkmann

Service providers employ different transport technologies like PDH, SDH/SONET, OTN, DWDM, Ethernet, MPLS-TP etc. to support different types of traffic and service requirements. Dynamic service provisioning requires the use of on-line…

Networking and Internet Architecture · Computer Science 2019-01-08 Madanagopal Ramachandran , Krishna M. Sivalingam

The Steered Mixture of Experts regression framework has demonstrated strong performance in image reconstruction, compression, denoising, and super-resolution. However, its high computational cost limits practical applications. This work…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Yi-Hsin Li , Mårten Sjöström , Sebastian Knorr , Thomas Sikora

While analyzing mobile systems we often approximate the actual coverage surface and assume an ideal cell shape. In a multi-cellular network, because of its tessellating nature, a hexagon is more preferred than a circular geometry. Despite…

Information Theory · Computer Science 2013-06-04 Mouhamed Abdulla , Yousef R. Shayan

CDR (Cross-Domain Recommendation), i.e., leveraging information from multiple domains, is a critical solution to data sparsity problem in recommendation system. The majority of previous research either focused on single-target CDR (STCDR)…

Information Retrieval · Computer Science 2024-11-27 Xiaopeng Liu , Juan Zhang , Chongqi Ren , Shenghui Xu , Zhaoming Pan , Zhimin Zhang

In recent years, deep learning-based methods have been successfully applied to the image distortion restoration tasks. However, scenarios that assume a single distortion only may not be suitable for many real-world applications. To deal…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Sijin Kim , Namhyuk Ahn , Kyung-Ah Sohn

Matching two images while estimating their relative geometry is a key step in many computer vision applications. For decades, a well-established pipeline, consisting of SIFT, RANSAC, and 8-point algorithm, has been used for this task.…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Jia-Wang Bian , Yu-Huan Wu , Ji Zhao , Yun Liu , Le Zhang , Ming-Ming Cheng , Ian Reid

This work approaches the multidimensional scaling problem from a novel angle. We introduce a scalable method based on the h-plot, which inherently accommodates asymmetric proximity data. Instead of embedding the objects themselves, the…

Applications · Statistics 2026-01-12 Aleix Alcacer , Irene Epifanio

Geometric rectification of images of distorted documents finds wide applications in document digitization and Optical Character Recognition (OCR). Although smoothly curved deformations have been widely investigated by many works, the most…

Computer Vision and Pattern Recognition · Computer Science 2022-12-19 Dong Luo , Pengbo Bo

Two-dimensional patterns are used in many research areas in computer science, ranging from image processing to specification and verification of complex software systems (via scenarios). The contribution of this paper is twofold. First, we…

Programming Languages · Computer Science 2014-05-16 Iulia Teodora Banu-Demergian , Gheorghe Stefanescu

Purpose: We propose a general framework for quantifying predictive uncertainties of dose-related quantities and leveraging this information in a dose mimicking problem in the context of automated radiation therapy treatment planning.…

Medical Physics · Physics 2021-09-08 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

Several aspects of managing a sensor network (e.g., motion planning for data mules, serial data fusion and inference) benefit once the network is linearized to a path. The linearization is often achieved by constructing a space filling…

Computational Geometry · Computer Science 2015-07-21 Mayank Goswami , Siming Li , Junwei Zhang , Emil Saucan , David Xianfeng Gu , Jie Gao

The rise of the programmable web offers new opportunities for the empirically driven social sciences. The access, compilation and preparation of data from the programmable web for statistical analysis can, however, involve substantial…

Computation · Statistics 2016-07-20 Ulrich Matter

Different software tools have been developed with the purpose of performing offline evaluations of recommender systems. However, the results obtained with these tools may be not directly comparable because of subtle differences in the…

Information Retrieval · Computer Science 2018-10-12 Diego Monti , Giuseppe Rizzo , Maurizio Morisio

Modeling complex spatial networks with multiscale heterogeneity poses significant mathematical and computational challenges. Lacking explicit PDE discretizations and facing excessive degrees of freedom, conventional methods often become…

Numerical Analysis · Mathematics 2026-05-12 Yingjie Zhou , Xiang Zhong , Changqing Ye , Eric T. Chung

We present Decapodes, a diagrammatic tool for representing, composing, and solving partial differential equations. Decapodes provides an intuitive diagrammatic representation of the relationships between variables in a system of equations,…

Numerical Analysis · Mathematics 2024-02-01 Luke Morris , Andrew Baas , Jesus Arias , Maia Gatlin , Evan Patterson , James P. Fairbanks
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