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Uncertainty can arise in any stage of a visual analytics process, especially in data-intensive applications with a sequence of data transformations. Additionally, throughout the process of multidimensional, multivariate data analysis, uncertainty due to data transformation and integration may split, merge, increase, or decrease. This dynamic characteristic along with other features of uncertainty ...Show More
In our contribution, we present an efficient shape uncertainty quantification method based on closed-form shape derivatives for the Maxwell eigenvalue problem. We demonstrate our algorithm for the 9-cell TESLA cavity which is subject to misalignment due to imperfections in the manufacturing process and compare the performance of our approach to the classic Monte Carlo method. In this comparison, w...Show More
In the field of climate prediction, although the traditional numerical weather forecasting (NWP) method has made significant progress in the processing of historical data and improving the prediction accuracy, it still has significant limitations in using a large amount of historical climate data and improving the credibility of the prediction results. With the rapid development of deep learning t...Show More
The growing number of prosumers in the distribution grid pushes the system to the edge of its operational capacities. This makes it essential to assess the current state of the system. However, the availability of grid measurements is often times not sufficient. To achieve observability, inaccurate pseudo measurements can be included in the state estimation. The obtained results are subject to hig...Show More
This paper presents a method for generating a global quantification and characterization of the uncertainty in the output of a system with both probabilistic and possibilistic inputs. When we have evidence-based probability distributions of some of the inputs to the system but only possibilistic information about the uncertainties of others, neither standard statistics nor purely possibilistic ana...Show More
While convolutional neural networks (CNNs) have shown potential in segmenting cardiac structures from magnetic resonance (MR) images, their clinical applications still fall short of providing reliable cardiac segmentation. As a result, it is critical to quantify segmentation uncertainty in order to identify which segmentations might be troublesome. Moreover, quantifying uncertainty is critical in ...Show More
The uncertainty of the model significantly impacts evaluation accuracy. Current research primarily focuses on model parameters and error propagation mechanisms, overlooking the inherent uncertainty within the model itself. This study presents a quantitative analysis method for model uncertainty based on Verification, Validation, and Uncertainty Quantification (VV&UQ) from the perspective of the mo...Show More
In this two-parts paper, methods for the quantification of uncertainty in measurement and computational modeling are reviewed, with an emphasis on applications in electromagnetic compatibility (EMC). The current status of international standards relating to measurement uncertainty in EMC is provided (in part I), as well as a review of selected alternative methods and recent developments in the dom...Show More
The need to quantify aleatory and epistemic uncertainties has been widely recognized in the engineering applications. Aleatory uncertainty arises from inherent randomness, whereas epistemic uncertainty is due to the lack of knowledge. Traditionally uncertainty has been quantified by probability measures and the two uncertainty components are not readily differentiated. Intervals naturally capture ...Show More
Nowadays, Deep learning becomes the most powerful black box predictors, which has achieved a high performance in many fields such as insurance especially in fraud detection, claims management, pricing, etc. Despite these achievements, the main interest of these classic deep learning networks is to focus only on improving the accuracy of the model without assessing the quality of the outputs. In ot...Show More
Uncertainty quantification plays a crucial role in reduction of uncertainties during optimization and decision making, however, it is not solved yet in deep learning. Bayesian network is often used for uncertainty estimation but is only applicable to cases with a small number of parameters because the prior probability of the parameters is needed. On the other hand, while some non-Bayesian models ...Show More
In recent years, Deep learning has been widely used in different fields which learns the skills from dataset, however the parameter and decision logic is opaque for human. The trustworthy of deep learning model has attracted much attention of researchers, in that uncertainty is an essential part of trusted artificial intelligence. Therefore uncertainty analysis is an important part of the basic th...Show More
A two-phase Monte Carlo Simulation/Non-intrusive Polynomial Chaos (MCS/NIPC) method for quantification of margins and mixed uncertainties (aleatory and epistemic uncertainties) is proposed in this paper for the flutter speed boundary analysis. Compared with the traditional MCS/MCS method which needs lots of numerical simulations, the MCS/NIPC method can reduce the computational cost without losing...Show More
Cuffless blood pressure (BP) estimation models have been extensively studied in recent years. However, due to aleatoric and epistemic uncertainty, these methods make it difficult to provide reliable and accurate BP estimations meeting the clinical requirement. In this study, we propose a novel method to quantify the uncertainty of the cuffless BP estimation model and combine epistemic uncertainty ...Show More
Deep brain stimulation (DBS) is an FDA-approved neurosurgical procedure for treating patients with movement disorders such as Parkinson's disease. Patient-specific computational modeling and visualization play a key role for efficient surgical and therapeutic decision-making relevant to DBS. The computational models analyze DBS post-operative brain imaging, e.g., computed tomography (CT), to under...Show More
We present a study of linear interpolation when applied to uncertain data. Linear interpolation is a key step for isosurface extraction algorithms, and the uncertainties in the data lead to non-linear variations in the geometry of the extracted isosurface. We present an approach for deriving the probability density function of a random variable modeling the positional uncertainty in the isosurface...Show More
Uncertainty quantification is an important component in robust design, because it is essential to obtain the robust solution. The classical robust design method pays more attention to aleatory uncertainty of parameters while disregarding epistemic uncertainty, which is now viewed as an inherent property of the system and has gained a lot of attention in recent years. In this paper, the features of...Show More
Estimation of State of Charge (SoC) with higher accuracy is very essential for range prediction, optimal discharging of Lithium-ion batteries, etc. Physics-based models are commonly employed for SoC estimation to achieve higher accuracy. However, it is challenging due to the need of precise initial SoC. To address this issue, data-driven approach is used to develop SoC prediction model. The effect...Show More
Uncertainty analysis of any model is one of the main themes of recent trends of computation, modeling, and optimization. Uncertainty analysis is classified as two categories, aleatory and epistemic. Aleatory uncertainty is due to random variability of the model parameters which is irreducible in nature, whereas epistemic uncertainty is due to insufficiency or vagueness of the model parameters and ...Show More
The Ball grid array (BGA) electronic packaging method is an efficient and appropriate way for high density integrated circuits. The uncertainties in the material and geometrical parameters to product reliability and safety under the real operating situation are the crucial issues deserved more attention. In this paper, the Monte Carlo based stochastic finite element model (MC-SFEM) is proposed for...Show More
The recent multilevel Monte Carlo method is here proposed for uncertainty quantification in electromagnetic problems solved by the finite-difference time-domain (FDTD) method, when material parameters are modeled as random variables. It improves the estimations of the mean and variance of the quantities of interest computed on a FDTD spatial grid by sampling at coarser levels of discretization. Th...Show More
Geomagnetic disturbances have been shown to disrupt the operation of the bulk electrical system through lowfrequency effects in the earth’s magnetic field that in turn induce changing electrical fields on the earth’s surface. As a result, geomagnetically induced currents flow in transmission lines, introducing the risk for widespread damage to high-voltage transformers and voltage collapse due to ...Show More
Radar systems can be used to perform human activity recognition in a privacy preserving manner. Deep Neural Networks are able to effectively process the complex radar data and make predictions. Often these networks are large and do not scale well when processing a large amount of radar streams at once, for example when monitoring multiple rooms in a hospital. This work proposes Bayesian Split Bidi...Show More
Quantification of Margins and Uncertainties (QMU) is a methodology for assessing the confidence in the performance of complex systems, and has been applied to general engineering areas. In this paper, the concept and process of QMU is introduced at first, and then an implementation framework of QMU is proposed for structural analysis considering uncertainty. The framework is a synthesis of several...Show More
Popular Deep learning models suffer many drawbacks such as making wrong predictions with great confidence, lack of uncertainty estimation capability, and failure in real-time scenarios. The main reason for the uncertainty is due to the large gap between how neural networks are trained in practice and how they are evaluated in deployment. When it comes to safety-critical applications, it is very im...Show More