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Multiparameter persistence module can capture more topological differences across data instances compared to using a single parameter, where the well-studied matching distance investigates the distance along a straight line in the…

Algebraic Topology · Mathematics 2025-08-01 Xudong Sun , René Corbet , Carsten Marr

Diffusion magnetic resonance imaging (dMRI) data allow to reconstruct the 3D pathways of axons within the white matter of the brain as a tractography. The analysis of tractographies has drawn attention from the machine learning and pattern…

Machine Learning · Statistics 2015-04-03 Emanuele Olivetti , Thien Bao Nguyen , Paolo Avesani

An analysis of high-dimensional data can offer a detailed description of a system but is often challenged by the curse of dimensionality. General dimensionality reduction techniques can alleviate such difficulty by extracting a few…

Methodology · Statistics 2021-09-28 Di Bo , Hoon Hwangbo , Vinit Sharma , Corey Arndt , Stephanie C. TerMaath

Exploring search spaces is one of the most unpredictable challenges that has attracted the interest of researchers for decades. One way to handle unpredictability is to characterise the search spaces and take actions accordingly. A…

Machine Learning · Computer Science 2022-09-14 Rafet Durgut , Mehmet Emin Aydin , Hisham Ihshaish , Abdur Rakib

Streaming is a model where an input graph is provided one edge at a time, instead of being able to inspect it at will. In this work, we take a parameterized approach by assuming a vertex cover of the graph is given, building on work of…

Data Structures and Algorithms · Computer Science 2021-11-22 Jelle J. Oostveen , Erik Jan van Leeuwen

For over three decades, scanning probe microscopy (SPM) has been a key method for exploring material structures and functionalities at nanometer and often atomic scales in ambient, liquid, and vacuum environments. Historically, SPM…

Analyzing high-dimensional data and finding hidden patterns is a difficult problem and has attracted numerous research efforts. Automated methods can be useful to some extent but bringing the data analyst into the loop via interactive…

Human-Computer Interaction · Computer Science 2017-12-04 Bing Wang , Klaus Mueller

The structure tensor method is often used for 2D and 3D analysis of imaged structures, but its results are in many cases very dependent on the user's choice of method parameters. We simplify this parameter choice in first order structure…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Pawel Tomasz Pieta , Anders Bjorholm Dahl , Jeppe Revall Frisvad , Siavash Arjomand Bigdeli , Anders Nymark Christensen

Surface parameterization is a fundamental concept in fields such as differential geometry and computer graphics. It involves mapping a surface in three-dimensional space onto a two-dimensional parameter space. This process allows for the…

Numerical Analysis · Mathematics 2024-12-16 Shu-Yung Liu , Mei-Heng Yueh

Volumetric parameterization problem refers to parameterization of both the interior and boundary of a 3D model. It is a much harder problem compared to surface parameterization where a parametric representation is worked out only for the…

Computational Geometry · Computer Science 2013-10-28 Vikash Gupta , Hari K. Voruganti , Bhaskar Dasgupta

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

Machine Learning · Computer Science 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

This paper introduces a probabilistic approach for tracking the dynamics of unweighted and directed graphs using state-space models (SSMs). Unlike conventional topology inference methods that assume static graphs and generate point-wise…

Signal Processing · Electrical Eng. & Systems 2024-09-13 Victor M. Tenorio , Elvin Isufi , Geert Leus , Antonio G. Marques

To enumerate 3-manifold triangulations with a given property, one typically begins with a set of potential face pairing graphs (also known as dual 1-skeletons), and then attempts to flesh each graph out into full triangulations using an…

Geometric Topology · Mathematics 2014-07-25 Benjamin A. Burton , William Pettersson

The Sinkhorn algorithm has emerged as a powerful tool for solving optimal transport problems, finding applications in various domains such as machine learning, image processing, and computational biology. Despite its widespread use, the…

Optimization and Control · Mathematics 2024-05-28 Jose Rafael Espinosa Mena

An automated feature selection pipeline was developed using several state-of-the-art feature selection techniques to select optimal features for Differentiating Patterns of Care (DPOC). The pipeline included three types of feature selection…

Deep learning methods are transforming research, enabling new techniques, and ultimately leading to new discoveries. As the demand for more capable AI models continues to grow, we are now entering an era of Trillion Parameter Models (TPM),…

Parameterized algorithms have been subject to extensive research of recent years and allow to solve hard problems by exploiting a parameter of the corresponding problem instances. There, one goal is to devise algorithms, where the runtime…

Logic in Computer Science · Computer Science 2019-05-07 Markus Hecher

Most state-of-the-art trackers adopt one-stream paradigm, using a single Vision Transformer for joint feature extraction and relation modeling of template and search region images. However, relation modeling between different image patches…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Wenrui Cai , Qingjie Liu , Yunhong Wang

We seek to cover a parametric domain with a set of evenly spaced bands which number and widthvaries according to a density field. We propose an implicit procedural algorithm, that generates theband pattern from a pixel shader and adapts to…

Computational Geometry · Computer Science 2020-03-04 Jimmy Etienne , Sylvain Lefebvre

We propose a framework to perform streaming covariance selection. Our approach employs regularization constraints where a time-varying sparsity parameter is iteratively estimated via stochastic gradient descent. This allows for the…

Machine Learning · Statistics 2016-11-03 Ricardo Pio Monti , Romy Lorenz , Robert Leech , Christoforos Anagnostopoulos , Giovanni Montana