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We propose an uncertainty propagation study and a sensitivity analysis with the Ocular Mathematical Virtual Simulator, a computational and mathematical model that predicts the hemodynamics and biomechanics within the human eye. In this…

Numerical Analysis · Mathematics 2023-01-24 Christophe Prud'Homme , Lorenzo Sala , Marcela Szopos

Maps have long been been used to visualise estimates of spatial variables, in particular disease burden and risk. Predictions made using a geostatistical model have uncertainty that typically varies spatially. However, this uncertainty is…

Applications · Statistics 2020-05-26 Aimee R Taylor , James A Watson , Caroline O Buckee

Uncertainty estimation aims to evaluate the confidence of a trained deep neural network. However, existing uncertainty estimation approaches rely on low-dimensional distributional assumptions and thus suffer from the high dimensionality of…

Machine Learning · Computer Science 2023-10-26 Tsai Hor Chan , Kin Wai Lau , Jiajun Shen , Guosheng Yin , Lequan Yu

In this work we study binary classification problems where we assume that our training data is subject to uncertainty, i.e. the precise data points are not known. To tackle this issue in the field of robust machine learning the aim is to…

Machine Learning · Computer Science 2022-03-04 Jannis Kurtz

Understanding large amounts of spatiotemporal data from particle-based simulations, such as molecular dynamics, often relies on the computation and analysis of aggregate measures. These, however, by virtue of aggregation, hide structural…

Computational Physics · Physics 2019-10-10 Juraj Pálenik , Jan Byška , Stefan Bruckner , Helwig Hauser

Deep-learning-based data-driven forecasting methods have produced impressive results for traffic forecasting. A major limitation of these methods, however, is that they provide forecasts without estimates of uncertainty, which are critical…

Machine Learning · Computer Science 2022-04-07 Tanwi Mallick , Prasanna Balaprakash , Jane Macfarlane

The right ventricular (RV) function deterioration strongly predicts clinical outcomes in numerous circumstances. To boost the clinical deployment of ensemble regression methods that quantify RV volumes using tabular data from the widely…

Tissues and Organs · Quantitative Biology 2024-03-13 Tuan A. Bohoran , Polydoros N. Kampaktsis , Laura McLaughlin , Jay Leb , Gerry P. McCann , Archontis Giannakidis

Interactive visualizations are crucial in ad hoc data exploration and analysis. However, with the growing number of massive datasets, generating visualizations in interactive timescales is increasingly challenging. One approach for…

Databases · Computer Science 2017-01-25 Yongjoo Park , Michael Cafarella , Barzan Mozafari

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective functions. Traditional distributed methods often rely on…

Optimization and Control · Mathematics 2025-09-29 Xuebin Li , Xuefei Yang , Emilia Fridman , Mamadou Diagne , Jiebao Sun

Stacking (or stacked generalization) is an ensemble learning method with one main distinctiveness from the rest: even though several base models are trained on the original data set, their predictions are further used as input data for one…

Machine Learning · Computer Science 2024-04-19 Ilya Ploshchik , Angelos Chatzimparmpas , Andreas Kerren

We developed a new approach comprised of different visualizations for the comparative spatio-temporal analysis of displacement processes in porous media. We aim to analyze and compare ensemble datasets from experiments to gain insight into…

Graphics · Computer Science 2024-01-17 Alexander Straub , Nikolaos Karadimitriou , Guido Reina , Steffen Frey , Holger Steeb , Thomas Ertl

Automatically recognising apparent emotions from face and voice is hard, in part because of various sources of uncertainty, including in the input data and the labels used in a machine learning framework. This paper introduces an…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Mani Kumar Tellamekala , Shahin Amiriparian , Björn W. Schuller , Elisabeth André , Timo Giesbrecht , Michel Valstar

Understanding and communicating data uncertainty is crucial for making informed decisions in sectors like finance and healthcare. Previous work has explored how to express uncertainty in various modes. For example, uncertainty can be…

Human-Computer Interaction · Computer Science 2024-04-15 Chase Stokes , Chelsea Sanker , Bridget Cogley , Vidya Setlur

To address the issues of stability and fidelity in interpretable learning, a novel interpretable methodology, ensemble interpretation, is presented in this paper which integrates multi-perspective explanation of various interpretation…

Machine Learning · Computer Science 2023-12-12 Chao Min , Guoyong Liao , Guoquan Wen , Yingjun Li , Xing Guo

Many socio-economical critical domains (such as sustainability, public health, and disasters) are characterized by highly complex and dynamic systems, requiring data and model-driven simulations to support decision-making. Due to a large…

We propose Probabilistic Inclusion Depth (PID) for the ensemble visualization of scalar fields. By introducing a probabilistic inclusion operator $\subset_{\!p}$, our method is a general data depth model supporting ensembles of fuzzy…

Graphics · Computer Science 2026-01-01 Cenyang Wu , Daniel Klötzl , Qinhan Yu , Shudan Guo , Runhao Lin , Daniel Weiskopf , Liang Zhou

Understanding and evaluating uncertainty play a key role in decision-making. When a viewer studies a visualization that demands inference, it is necessary that uncertainty is portrayed in it. This paper showcases the importance of…

Human-Computer Interaction · Computer Science 2023-01-19 Krisha Mehta

Spatial dynamic microsimulations probabilistically project geographically referenced units with individual characteristics over time. Like any projection method, their outcomes are inherently uncertain and sensitive to multiple factors.…

Computation · Statistics 2025-11-19 Morgane Dumont , Ahmed Alsaloum , Julian Ernst , Jan Weymeirsch , Ralf Münnich

This paper presents a new approach for the visualization and analysis of the spatial variability of features of interest represented by critical points in ensemble data. Our framework, called Persistence Atlas, enables the visualization of…

Graphics · Computer Science 2018-07-31 Guillaume Favelier , Noura Faraj , Brian Summa , Julien Tierny

Symbolic regression (SR) aims to find symbolic expressions that describe datasets. Due to its inherent interpretability, is a powerful paradigm for scientific discovery. Recent advances have expanded SR to describe related phenomena using a…

Machine Learning · Computer Science 2026-03-31 Viktor Martinek , Roland Herzog