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Despite recent progress in predicting biomarker trajectories from real clinical data, uncertainty in the predictions poses high-stakes risks (e.g., misdiagnosis) that limit their clinical deployment. To enable safe and reliable use of such…

Machine Learning · Statistics 2025-11-19 Vasiliki Tassopoulou , Charis Stamouli , Haochang Shou , George J. Pappas , Christos Davatzikos

The wide adoption of Convolutional Neural Networks (CNNs) in applications where decision-making under uncertainty is fundamental, has brought a great deal of attention to the ability of these models to accurately quantify the uncertainty in…

Machine Learning · Statistics 2018-05-29 Gia-Lac Tran , Edwin V. Bonilla , John P. Cunningham , Pietro Michiardi , Maurizio Filippone

We investigate methods to provide safety assurances for autonomous agents that incorporate predictions of other, uncontrolled agents' behavior into their own trajectory planning. Given a learning-based forecasting model that predicts…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Anish Muthali , Haotian Shen , Sampada Deglurkar , Michael H. Lim , Rebecca Roelofs , Aleksandra Faust , Claire Tomlin

We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of the trajectories to approximate the desired trajectory…

Robotics · Computer Science 2023-03-27 Hongzhe Yu , Yongxin Chen

Many commodity sensors that measure the robot and dynamic obstacle's state have non-Gaussian noise characteristics. Yet, many current approaches treat the underlying-uncertainty in motion and perception as Gaussian, primarily to ensure…

Robotics · Computer Science 2022-09-23 Anish Gupta , Arun Kumar Singh , K. Madhava Krishna

One major impediment to the wider use of deep learning for clinical decision making is the difficulty of assigning a level of confidence to model predictions. Currently, deep Bayesian neural networks and sparse Gaussian processes are the…

Quantifying uncertainty is crucial for robust and reliable predictions. However, existing spatiotemporal deep learning mostly focuses on deterministic prediction, overlooking the inherent uncertainty in such prediction. Particularly,…

Machine Learning · Computer Science 2024-09-16 Dingyi Zhuang , Yuheng Bu , Guang Wang , Shenhao Wang , Jinhua Zhao

In this paper, we address the problem of sampling-based motion planning under motion and measurement uncertainty with probabilistic guarantees. We generalize traditional sampling-based tree-based motion planning algorithms for deterministic…

Robotics · Computer Science 2022-10-05 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

We present an approach for safe motion planning under robot state and environment (obstacle and landmark location) uncertainties. To this end, we first develop an approach that accounts for the landmark uncertainties during robot…

Robotics · Computer Science 2023-05-11 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

Methods for reasoning under uncertainty are a key building block of accurate and reliable machine learning systems. Bayesian methods provide a general framework to quantify uncertainty. However, because of model misspecification and the use…

Machine Learning · Computer Science 2018-07-03 Volodymyr Kuleshov , Nathan Fenner , Stefano Ermon

Gaussian process modeling is a standard tool for building emulators for computer experiments, which are usually used to study deterministic functions, for example, a solution to a given system of partial differential equations. This work…

Statistics Theory · Mathematics 2021-10-01 Wenjia Wang

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

Machine Learning · Computer Science 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

Established techniques for simulation and prediction with Gaussian process (GP) dynamics often implicitly make use of an independence assumption on successive function evaluations of the dynamics model. This can result in significant error…

Machine Learning · Computer Science 2020-05-05 Lukas Hewing , Elena Arcari , Lukas P. Fröhlich , Melanie N. Zeilinger

Black-box machine learning models are now routinely used in high-risk settings, like medical diagnostics, which demand uncertainty quantification to avoid consequential model failures. Conformal prediction is a user-friendly paradigm for…

Machine Learning · Computer Science 2022-12-08 Anastasios N. Angelopoulos , Stephen Bates

We tackle safe trajectory planning under Gaussian mixture model (GMM) uncertainty. Specifically, we use a GMM to model the multimodal behaviors of obstacles' uncertain states. Then, we develop a mixed-integer conic approximation to the…

Robotics · Computer Science 2025-03-11 Kai Ren , Heejin Ahn , Maryam Kamgarpour

Traffic prediction is a crucial topic because of its broad scope of applications in the transportation domain. Recently, various studies have achieved promising results. However, most studies assume the prediction locations have complete or…

Machine Learning · Computer Science 2024-02-07 Hao Mei , Junxian Li , Zhiming Liang , Guanjie Zheng , Bin Shi , Hua Wei

Accurate sensor calibration is crucial for autonomous systems, yet its uncertainty quantification remains underexplored. We present the first approach to integrate uncertainty awareness into online extrinsic calibration, combining Monte…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Mathieu Cocheteux , Julien Moreau , Franck Davoine

Model-form uncertainties in complex mechanics systems are a major obstacle for predictive simulations. Reducing these uncertainties is critical for stake-holders to make risk-informed decisions based on numerical simulations. For example,…

Fluid Dynamics · Physics 2018-09-11 J. -L. Wu , J. -X. Wang , H. Xiao

Model diagnostics and forecast evaluation are two sides of the same coin. A common principle is that fitted or predicted distributions ought to be calibrated or reliable, ideally in the sense of auto-calibration, where the outcome is a…

Methodology · Statistics 2024-09-27 Tilmann Gneiting , Johannes Resin

We propose a generic framework to calibrate accuracy and confidence of a prediction in deep neural networks through stochastic inferences. We interpret stochastic regularization using a Bayesian model, and analyze the relation between…

Machine Learning · Computer Science 2019-04-25 Seonguk Seo , Paul Hongsuck Seo , Bohyung Han