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Uncertainty quantification is crucial for building reliable and trustable machine learning systems. We propose to estimate uncertainty in recurrent neural networks (RNNs) via stochastic discrete state transitions over recurrent timesteps.…

Machine Learning · Computer Science 2020-11-25 Cheng Wang , Carolin Lawrence , Mathias Niepert

Uncertainty quantification (UQ) is important for reliability assessment and enhancement of machine learning models. In deep learning, uncertainties arise not only from data, but also from the training procedure that often injects…

Machine Learning · Statistics 2023-11-13 Ziyi Huang , Henry Lam , Haofeng Zhang

Parameter Estimation (PE) and State Estimation (SE) are the most wide-spread tasks in the system engineering. They need to be done automatically, fast and frequently, as measurements arrive. Deep Learning (DL) holds the promise of tackling…

Machine Learning · Computer Science 2021-02-15 Laurent Pagnier , Michael Chertkov

Graph neural networks (GNNs) are powerful graph-based deep-learning models that have gained significant attention and demonstrated remarkable performance in various domains, including natural language processing, drug discovery, and…

Machine Learning · Computer Science 2023-06-06 Jaykumar Kakkad , Jaspal Jannu , Kartik Sharma , Charu Aggarwal , Sourav Medya

Deep learning utilizing deep neural networks (DNNs) has achieved a lot of success recently in many important areas such as computer vision, natural language processing, and recommendation systems. The lack of convexity for DNNs has been…

Machine Learning · Computer Science 2022-06-14 Jingcheng Zhou , Wei Wei , Xing Li , Bowen Pang , Zhiming Zheng

Evidential deep learning, built upon belief theory and subjective logic, offers a principled and computationally efficient way to turn a deterministic neural network uncertainty-aware. The resultant evidential models can quantify…

Machine Learning · Computer Science 2023-06-27 Deep Pandey , Qi Yu

This paper introduces Uncertainty Propagation Network (UPN), a novel family of neural differential equations that naturally incorporate uncertainty quantification into continuous-time modeling. Unlike existing neural ODEs that predict only…

Machine Learning · Computer Science 2026-02-25 Hadi Jahanshahi , Zheng H. Zhu

We present a novel class of Physics-Informed Neural Networks that is formulated based on the principles of Evidential Deep Learning, where the model incorporates uncertainty quantification by learning parameters of a higher-order…

Machine Learning · Computer Science 2025-01-28 Hai Siong Tan , Kuancheng Wang , Rafe McBeth

Graph Neural Networks (GNNs) have emerged as a prominent class of data-driven methods for molecular property prediction. However, a key limitation of typical GNN models is their inability to quantify uncertainties in the predictions. This…

Machine Learning · Computer Science 2024-07-02 Shengli Jiang , Shiyi Qin , Reid C. Van Lehn , Prasanna Balaprakash , Victor M. Zavala

Deep neural networks often learn and rely on spurious correlations, i.e., superficial associations between non-causal features and the targets. For instance, an image classifier may identify camels based on the desert backgrounds. While it…

Machine Learning · Computer Science 2025-07-22 Wenqian Ye , Guangtao Zheng , Aidong Zhang

Graph Neural Networks (GNNs) have emerged as a prominent graph learning model in various graph-based tasks over the years. Nevertheless, due to the vulnerabilities of GNNs, it has been empirically shown that malicious attackers could easily…

Machine Learning · Computer Science 2025-12-23 Yushun Dong , Binchi Zhang , Hanghang Tong , Jundong Li

Camera localization, i.e., camera pose regression, represents an important task in computer vision since it has many practical applications such as in the context of intelligent vehicles and their localization. Having reliable estimates of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-10 Matteo Vaghi , Augusto Luis Ballardini , Simone Fontana , Domenico Giorgio Sorrenti

In the current context of accelerated globalization and digitalization, the complexity and uncertainty of financial markets are increasing, and the identification and prevention of economic risks have become a key link in maintaining the…

Statistical Finance · Quantitative Finance 2024-11-20 Xin Zhang , Zhen Xu , Yue Liu , Mengfang Sun , Tong Zhou , Wenying Sun

Multitude of deep learning models have been proposed for node classification in graphs. However, they tend to perform poorly under labeled-data scarcity. Although Few-shot learning for graphs has been introduced to overcome this problem,…

Machine Learning · Computer Science 2026-02-02 Appan Rakaraddi , Lam Siew-Kei , Mahardhika Pratama , Marcus de Carvalho

While deep neural networks have become the go-to approach in computer vision, the vast majority of these models fail to properly capture the uncertainty inherent in their predictions. Estimating this predictive uncertainty can be crucial,…

Machine Learning · Computer Science 2020-04-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

Classical problems in computational physics such as data-driven forecasting and signal reconstruction from sparse sensors have recently seen an explosion in deep neural network (DNN) based algorithmic approaches. However, most DNN models do…

Machine Learning · Computer Science 2023-02-21 Romit Maulik , Romain Egele , Krishnan Raghavan , Prasanna Balaprakash

Uncertainty quantification (UQ) in scientific machine learning is increasingly critical as neural networks are widely adopted to tackle complex problems across diverse scientific disciplines. For physics-informed neural networks (PINNs), a…

Machine Learning · Statistics 2025-10-20 Frank Shih , Zhenghao Jiang , Faming Liang

Graph Neural Networks (GNNs), a generalization of neural networks to graph-structured data, are often implemented using message passes between entities of a graph. While GNNs are effective for node classification, link prediction and graph…

Machine Learning · Statistics 2020-10-01 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Andreas Spanias

Sequential labeling is a task predicting labels for each token in a sequence, such as Named Entity Recognition (NER). NER tasks aim to extract entities and predict their labels given a text, which is important in information extraction.…

Computation and Language · Computer Science 2024-06-06 Jianfeng He , Linlin Yu , Shuo Lei , Chang-Tien Lu , Feng Chen

Understanding the uncertainty inherent in deep learning-based image registration models has been an ongoing area of research. Existing methods have been developed to quantify both transformation and appearance uncertainties related to the…

Image and Video Processing · Electrical Eng. & Systems 2024-03-11 Junyu Chen , Yihao Liu , Shuwen Wei , Zhangxing Bian , Aaron Carass , Yong Du
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