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The prediction of humans' short-term trajectories has advanced significantly with the use of powerful sequential modeling and rich environment feature extraction. However, long-term prediction is still a major challenge for the current…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Hung Tran , Vuong Le , Truyen Tran

Environment perception is the task for intelligent vehicles on which all subsequent steps rely. A key part of perception is to safely detect other road users such as vehicles, pedestrians, and cyclists. With modern deep learning techniques…

Computer Vision and Pattern Recognition · Computer Science 2020-07-13 Florian Kraus , Klaus Dietmayer

Applying a machine learning model for decision-making in the real world requires to distinguish what the model knows from what it does not. A critical factor in assessing the knowledge of a model is to quantify its predictive uncertainty.…

Machine Learning · Computer Science 2023-11-15 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Sepp Hochreiter

Accurate forecasting of bus travel time and its uncertainty is critical to service quality and operation of transit systems; for example, it can help passengers make better decisions on departure time, route choice, and even transport mode…

Applications · Statistics 2022-06-15 Xiaoxu Chen , Zhanhong Cheng , Jian Gang Jin , Martin Trepanier , Lijun Sun

Orthogonal polynomial approximations form the foundation to a set of well-established methods for uncertainty quantification known as polynomial chaos. These approximations deliver models for emulating physical systems in a variety of…

Computational Engineering, Finance, and Science · Computer Science 2022-03-23 Chun Yui Wong , Pranay Seshadri , Andrew B. Duncan , Ashley Scillitoe , Geoffrey Parks

Predicting human behavior is a difficult and crucial task required for motion planning. It is challenging in large part due to the highly uncertain and multi-modal set of possible outcomes in real-world domains such as autonomous driving.…

Machine Learning · Computer Science 2019-10-15 Yuning Chai , Benjamin Sapp , Mayank Bansal , Dragomir Anguelov

Car following (CF) models are fundamental to describing traffic dynamics. However, the CF behavior of human drivers is highly stochastic and nonlinear. As a result, identifying the best CF model has been challenging and controversial…

Machine Learning · Computer Science 2023-12-19 Jiwan Jiang , Yang Zhou , Xin Wang , Soyoung Ahn

An accurate trajectory prediction is crucial for safe and efficient autonomous driving in complex traffic environments. In recent years, artificial intelligence has shown strong capabilities in improving prediction accuracy. However, its…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Wenbo Shao , Yanchao Xu , Jun Li , Chen Lv , Weida Wang , Hong Wang

In self-driving, predicting future in terms of location and motion of all the agents around the vehicle is a crucial requirement for planning. Recently, a new joint formulation of perception and prediction has emerged by fusing rich sensory…

Computer Vision and Pattern Recognition · Computer Science 2022-08-12 Adil Kaan Akan , Fatma Güney

The high dynamics and heterogeneous interactions in the complicated urban systems have raised the issue of uncertainty quantification in spatiotemporal human mobility, to support critical decision-makings in risk-aware web applications such…

Machine Learning · Computer Science 2021-02-12 Zhengyang Zhou , Yang Wang , Xike Xie , Lei Qiao , Yuantao Li

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

The most common approaches for solving multistage stochastic programming problems in the research literature have been to either use value functions ("dynamic programming") or scenario trees ("stochastic programming") to approximate the…

Optimization and Control · Mathematics 2022-01-04 Warren B Powell , Saeed Ghadimi

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

Machine Learning · Computer Science 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

Ensembles of neural networks (NNs) have long been used to estimate predictive uncertainty; a small number of NNs are trained from different initialisations and sometimes on differing versions of the dataset. The variance of the ensemble's…

Machine Learning · Computer Science 2018-11-30 Tim Pearce , Mohamed Zaki , Andy Neely

Neural network potentials (NNPs) combine the computational efficiency of classical interatomic potentials with the high accuracy and flexibility of the ab initio methods used to create the training set, but can also result in unphysical…

Materials Science · Physics 2022-01-24 Leonid Kahle , Federico Zipoli

Laplace approximations are classic, computationally lightweight means for constructing Bayesian neural networks (BNNs). As in other approximate BNNs, one cannot necessarily expect the induced predictive uncertainty to be calibrated. Here we…

Machine Learning · Computer Science 2021-06-08 Agustinus Kristiadi , Matthias Hein , Philipp Hennig

Existing deep learning approaches for travel mode choice modeling fail to inform modelers about their prediction uncertainty. Even when facing scenarios that are out of the distribution of training data, which implies high prediction…

Machine Learning · Computer Science 2024-06-18 Shuwen Zheng , Zhou Fang , Liang Zhao

We address the problem of estimating the uncertainty in the solution of power grid inverse problems within the framework of Bayesian inference. We investigate two approaches, an adjoint-based method and a stochastic spectral method. These…

Optimization and Control · Mathematics 2016-02-15 Noemi Petra , Cosmin G. Petra , Zheng Zhang , Emil M. Constantinescu , Mihai Anitescu

We consider stochastic optimization under distributional uncertainty, where the unknown distributional parameter is estimated from streaming data that arrive sequentially over time. Moreover, data may depend on the decision of the time when…

Optimization and Control · Mathematics 2023-10-17 Tianyi Liu , Yifan Lin , Enlu Zhou

Online map generation and trajectory prediction are critical components of the autonomous driving perception-prediction-planning pipeline. While modern vectorized mapping models achieve high geometric accuracy, they typically treat map…

Robotics · Computer Science 2026-03-23 Pritom Gogoi , Faris Janjoš , Bin Yang , Andreas Look