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Pseudospectral approximation provides a means to approximate the dynamics of delay differential equations (DDE) by ordinary differential equations (ODE). This article develops a computer-aided algorithm to determine the distance between the…

Dynamical Systems · Mathematics 2024-05-14 Shane Kepley , Babette A. J. de Wolff

Unsupervised domain adaptation (UDA) aims to improve the prediction performance in the target domain under distribution shifts from the source domain. The key principle of UDA is to minimize the divergence between the source and the target…

Computer Vision and Pattern Recognition · Computer Science 2022-11-17 JoonHo Lee , Gyemin Lee

For responsible decision making in safety-critical settings, machine learning models must effectively detect and process edge-case data. Although existing works show that predictive uncertainty is useful for these tasks, it is not evident…

Machine Learning · Computer Science 2022-08-09 Mark Penrod , Harrison Termotto , Varshini Reddy , Jiayu Yao , Finale Doshi-Velez , Weiwei Pan

We propose a new approach towards determining the distribution of mechanical and acoustic wave energy in complex built-up structures. The technique interpolates between standard Statistical Energy Analysis (SEA) and full ray tracing…

Chaotic Dynamics · Physics 2009-11-13 Gregor Tanner

Accurate predictions and uncertainty quantification (UQ) are essential for decision-making in risk-sensitive fields such as system safety modeling. Deep ensembles (DEs) are efficient and scalable methods for UQ in Deep Neural Networks…

Machine Learning · Computer Science 2024-12-13 Zaid Abulawi , Rui Hu , Prasanna Balaprakash , Yang Liu

Low-dose computed tomography (LDCT) image reconstruction techniques can reduce patient radiation exposure while maintaining acceptable imaging quality. Deep learning is widely used in this problem, but the performance of testing data…

Image and Video Processing · Electrical Eng. & Systems 2024-06-04 Kecheng Chen , Jie Liu , Renjie Wan , Victor Ho-Fun Lee , Varut Vardhanabhuti , Hong Yan , Haoliang Li

Semi-supervised entity alignment (EA) is a practical and challenging task because of the lack of adequate labeled mappings as training data. Most works address this problem by generating pseudo mappings for unlabeled entities. However, they…

Machine Learning · Computer Science 2023-11-09 Feng Xie , Xin Song , Xiang Zeng , Xuechen Zhao , Lei Tian , Bin Zhou , Yusong Tan

Despite their unprecedented performance in various domains, utilization of Deep Neural Networks (DNNs) in safety-critical environments is severely limited in the presence of even small adversarial perturbations. The present work develops a…

Machine Learning · Computer Science 2020-10-19 Fatemeh Sheikholeslami , Swayambhoo Jain , Georgios B. Giannakis

In this paper we develop a kernel density estimation (KDE) approach to modeling and forecasting recurrent trajectories on a compact manifold. For the purposes of this paper, a trajectory is a sequence of coordinates in a phase space defined…

Machine Learning · Computer Science 2019-11-06 Trevor K. Karn , Steven Petrone , Christopher Griffin

Decision tree ensembles (DTE) are a popular model for a wide range of AI classification tasks, used in multiple safety critical domains, and hence verifying properties on these models has been an active topic of study over the last decade.…

Artificial Intelligence · Computer Science 2026-05-14 S. Akshay , Chaitanya Garg , Ashutosh Gupta , Kuldeep S. Meel , Ajinkya Naik

The success of deep learning (DL) fostered the creation of unifying frameworks such as tensorflow or pytorch as much as it was driven by their creation in return. Having common building blocks facilitates the exchange of, e.g., models or…

Machine Learning · Computer Science 2022-05-03 Maximilian Pintz , Joachim Sicking , Maximilian Poretschkin , Maram Akila

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

We study how to utilize (possibly machine-learned) predictions in a model for computing under uncertainty in which an algorithm can query unknown data. The goal is to minimize the number of queries needed to solve the problem. We consider…

Data Structures and Algorithms · Computer Science 2021-11-09 Thomas Erlebach , Murilo S. de Lima , Nicole Megow , Jens Schlöter

The use of AI systems in healthcare for the early screening of diseases is of great clinical importance. Deep learning has shown great promise in medical imaging, but the reliability and trustworthiness of AI systems limit their deployment…

Image and Video Processing · Electrical Eng. & Systems 2023-05-17 Ke Zou , Zhihao Chen , Xuedong Yuan , Xiaojing Shen , Meng Wang , Huazhu Fu

This paper presents a data-driven method for constructing a Koopman linear model based on the Direct Encoding (DE) formula. The prevailing methods, Dynamic Mode Decomposition (DMD) and its extensions are based on least squares estimates…

Machine Learning · Computer Science 2023-01-18 Jerry Ng , Haruhiko Harry Asada

Deep ensembles can be considered as the current state-of-the-art for uncertainty quantification in deep learning. While the approach was originally proposed as a non-Bayesian technique, arguments supporting its Bayesian footing have been…

Machine Learning · Computer Science 2021-11-19 Lara Hoffmann , Clemens Elster

This paper investigates the problem of object detection with a focus on improving both the localization accuracy of bounding boxes and explicitly modeling prediction uncertainty. Conventional detectors rely on deterministic bounding box…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Xingshu Chen , Sicheng Yu , Chong Cheng , Hao Wang , Ting Tian

In this study, we explore in depth a few under-studied topics at the intersection of uncertainty estimation and segmentation. Prior work has shown that the quality of uncertainty estimates can be very sensitive to a range of variables. As…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Michael Smith , Frank P. Ferrie

Cost-effectiveness analyses (CEAs) are at the center of health economic decision making. While these analyses help policy analysts and economists determine coverage, inform policy, and guide resource allocation, they are statistically…

Methodology · Statistics 2020-09-10 Arman Oganisian , Nandita Mitra , Jason Roy

Deep neural networks (DNNs) have proven to be powerful predictors and are widely used for various tasks. Credible uncertainty estimation of their predictions, however, is crucial for their deployment in many risk-sensitive applications. In…

Machine Learning · Computer Science 2021-12-03 Ido Galil , Ran El-Yaniv