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An important task in visualization is the extraction and highlighting of dominant features in data to support users in their analysis process. Topological methods are a well-known means of identifying such features in deterministic fields.…

Human-Computer Interaction · Computer Science 2023-01-09 Dominik Vietinghoff , Michael Böttinger , Gerik Scheuermann , Christian Heine

We present a new method to visualize data ensembles by constructing structured probabilistic representations in latent spaces, i.e., lower-dimensional representations of spatial data features. Our approach transforms the spatial features of…

Machine Learning · Computer Science 2025-09-17 Cenyang Wu , Qinhan Yu , Liang Zhou

Rapidly growing data sizes of scientific simulations pose significant challenges for interactive visualization and analysis techniques. In this work, we propose a compact probabilistic representation to interactively visualize large…

Graphics · Computer Science 2020-10-16 Tobias Rapp , Christoph Peters , Carsten Dachsbacher

Engineers and computational scientists often study the behavior of their simulations by repeated solutions with variations in their parameters, which can be for instance boundary values or initial conditions. Through such simulation…

Statistics Theory · Mathematics 2020-02-27 Alejandro Ribes , Joachim Pouderoux , Bertrand Iooss

We study the question of how visual analysis can support the comparison of spatio-temporal ensemble data of liquid and gas flow in porous media. To this end, we focus on a case study, in which nine different research groups concurrently…

Human-Computer Interaction · Computer Science 2023-11-28 Ruben Bauer , Quynh Quang Ngo , Guido Reina , Steffen Frey , Bernd Flemisch , Helwig Hauser , Thomas Ertl , Michael Sedlmair

Though the mediums for visualization are limited, the potential dimensions of a dataset are not. In many areas of scientific study, understanding the correlations between those dimensions and their uncertainties is pivotal to mining useful…

Astrophysics · Physics 2009-02-25 Steve Haroz , Kwan-Liu Ma , Katrin Heitmann

We present a general approach to visualizing uncertainty in static 2-D statistical graphics. If we treat a visualization as a function of its underlying quantities, uncertainty in those quantities induces a distribution over images. We show…

Methodology · Statistics 2025-12-10 Bernarda Petek , David Nabergoj , Erik Štrumbelj

Uncertainty quantification by ensemble learning is explored in terms of an application from computational optical form measurements. The application requires to solve a large-scale, nonlinear inverse problem. Ensemble learning is used to…

Machine Learning · Computer Science 2021-03-03 Lara Hoffmann , Ines Fortmeier , Clemens Elster

Large-scale numerical simulations often produce high-dimensional gridded data that is challenging to process for downstream applications. A prime example is numerical weather prediction, where atmospheric processes are modeled using…

Machine Learning · Computer Science 2025-02-10 Jieyu Chen , Kevin Höhlein , Sebastian Lerch

We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

Machine Learning · Computer Science 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

In the present work we have selected a collection of statistical and mathematical tools useful for the exploration of multivariate data and we present them in a form that is meant to be particularly accessible to a classically trained…

Statistics Theory · Mathematics 2010-09-01 Magnus Fontes

Simulation ensembles are a common tool in physics for understanding how a model outcome depends on input parameters. We analyze an active particle system, where each particle can use energy from its surroundings to propel itself. A…

Human-Computer Interaction · Computer Science 2023-03-21 Marina Evers , Raphael Wittkowski , Lars Linsen

Topic modeling is a state-of-the-art technique for analyzing text corpora. It uses a statistical model, most commonly Latent Dirichlet Allocation (LDA), to discover abstract topics that occur in the document collection. However, the…

Human-Computer Interaction · Computer Science 2021-10-19 Valerie Müller , Christian Sieg , Lars Linsen

Sensitivity analyses of simulation ensembles determine how simulation parameters influence the simulation's outcome. Commonly, one global numerical sensitivity value is computed per simulation parameter. However, when considering 3D spatial…

Human-Computer Interaction · Computer Science 2024-08-08 Marina Evers , Simon Leistikow , Hennes Rave , Lars Linsen

Current research provides methods to communicate uncertainty and adapts classical algorithms of the visualization pipeline to take the uncertainty into account. Various existing visualization frameworks include methods to present uncertain…

Human-Computer Interaction · Computer Science 2024-09-17 Patrick Paetzold , David Hägele , Marina Evers , Daniel Weiskopf , Oliver Deussen

Heterogeneous data pose serious challenges to data analysis tasks, including exploration and visualization. Current techniques often utilize dimensionality reductions, aggregation, or conversion to numerical values to analyze heterogeneous…

Graphics · Computer Science 2017-10-10 Mahsa Mirzargar , Ross T. Whitaker , Robert M. Kirby

Set visualization facilitates the exploration and analysis of set-type data. However, how sets should be visualized when the data is uncertain is still an open research challenge. To address the problem of depicting uncertainty in set…

Human-Computer Interaction · Computer Science 2025-01-22 Christian Tominski , Michael Behrisch , Susanne Bleisch , Sara Irina Fabrikant , Eva Mayr , Silvia Miksch , Helen Purchase

Contemporary tasks of complex system simulation are often related to the issue of uncertainty management. It comes from the lack of information or knowledge about the simulated system as well as from restrictions of the model set being…

For many practical, high-risk applications, it is essential to quantify uncertainty in a model's predictions to avoid costly mistakes. While predictive uncertainty is widely studied for neural networks, the topic seems to be under-explored…

Machine Learning · Computer Science 2021-04-05 Andrey Malinin , Liudmila Prokhorenkova , Aleksei Ustimenko

Standard approaches for variable selection in linear models are not tailored to deal properly with high-dimensional and incomplete data. Currently, methods dedicated to high-dimensional data handle missing values by ad-hoc strategies, like…

Methodology · Statistics 2021-06-09 Avner Bar-Hen , Vincent Audigier
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