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This paper investigates two prominent probabilistic neural modeling paradigms: Bayesian Neural Networks (BNNs) and Mixture Density Networks (MDNs) for uncertainty-aware nonlinear regression. While BNNs incorporate epistemic uncertainty by…

Computation · Statistics 2025-10-30 Riddhi Pratim Ghosh , Ian Barnett

Uncertainty quantification methods are required in autonomous systems that include deep learning (DL) components to assess the confidence of their estimations. However, to successfully deploy DL components in safety-critical autonomous…

Robotics · Computer Science 2021-11-02 Fabio Arnez , Huascar Espinoza , Ansgar Radermacher , François Terrier

Node representation learning by using Graph Neural Networks (GNNs) has been widely explored. However, in recent years, compelling evidence has revealed that GNN-based node representation learning can be substantially deteriorated by…

Machine Learning · Computer Science 2023-12-19 Jun Zhuang , Mohammad Al Hasan

Model discovery based on existing data has been one of the major focuses of mathematical modelers for decades. Despite tremendous achievements of model identification from adequate data, how to unravel the models from limited data is less…

Numerical Analysis · Mathematics 2020-09-25 Jia Zhao , Jarrod Mau

This article proposes a model-based deep reinforcement learning (DRL) method to design emergency control strategies for short-term voltage stability problems in power systems. Recent advances show promising results in model-free DRL-based…

Systems and Control · Electrical Eng. & Systems 2022-12-07 Ramij R. Hossain , Tianzhixi Yin , Yan Du , Renke Huang , Jie Tan , Wenhao Yu , Yuan Liu , Qiuhua Huang

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

We propose Deep Companion Learning (DCL), a novel training method for Deep Neural Networks (DNNs) that enhances generalization by penalizing inconsistent model predictions compared to its historical performance. To achieve this, we train a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Ruizhao Zhu , Venkatesh Saligrama

Deep neural networks achieve high prediction accuracy when the train and test distributions coincide. In practice though, various types of corruptions occur which deviate from this setup and cause severe performance degradations. Few…

Machine Learning · Computer Science 2023-05-30 Theodoros Tsiligkaridis , Athanasios Tsiligkaridis

Causal representation learning seeks to uncover causal relationships among high-level latent variables from low-level, entangled, and noisy observations. Existing approaches often either rely on deep neural networks, which lack…

Methodology · Statistics 2026-03-27 Wenjin Zhang , Yixin Wang , Yuqi Gu

We develop a probabilistic framework for deep learning based on the Deep Rendering Mixture Model (DRMM), a new generative probabilistic model that explicitly capture variations in data due to latent task nuisance variables. We demonstrate…

Machine Learning · Statistics 2016-12-07 Ankit B. Patel , Tan Nguyen , Richard G. Baraniuk

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok

One of the focus areas of modern scientific research is to reveal mysteries related to genes and their interactions. The dynamic interactions between genes can be encoded into a gene regulatory network (GRN), which can be used to gain…

Optimization and Control · Mathematics 2020-07-16 Atte Aalto , Lauri Viitasaari , Pauliina Ilmonen , Laurent Mombaerts , Jorge Goncalves

In this paper, a deep reinforcement learning (DRL) method is proposed to address the problem of UAV navigation in an unknown environment. However, DRL algorithms are limited by the data efficiency problem as they typically require a huge…

Robotics · Computer Science 2020-08-07 Lei He , Nabil Aouf , James F. Whidborne , Bifeng Song

Precise probabilistic forecasts are fundamental for energy risk management, and there is a wide range of both statistical and machine learning models for this purpose. Inherent to these probabilistic models is some form of uncertainty…

Machine Learning · Computer Science 2025-10-10 Andreas Lebedev , Abhinav Das , Sven Pappert , Stephan Schlüter

Deep neural networks (DNNs) are often coupled with physics-based models or data-driven surrogate models to perform fault detection and health monitoring of systems in the low data regime. These models serve as digital twins to generate…

Machine Learning · Computer Science 2023-03-21 Laya Das , Blazhe Gjorgiev , Giovanni Sansavini

Bayesian Neural Networks (BNNs) provide a tool to estimate the uncertainty of a neural network by considering a distribution over weights and sampling different models for each input. In this paper, we propose a method for uncertainty…

Machine Learning · Computer Science 2024-10-28 Illia Oleksiienko , Dat Thanh Tran , Alexandros Iosifidis

Reinforcement learning algorithms rely on exploration to discover new behaviors, which is typically achieved by following a stochastic policy. In continuous control tasks, policies with a Gaussian distribution have been widely adopted.…

Machine Learning · Computer Science 2019-03-28 Dmytro Korenkevych , A. Rupam Mahmood , Gautham Vasan , James Bergstra

Uncertainty estimation is essential for robust decision-making in the presence of ambiguous or out-of-distribution inputs. Gaussian Processes (GPs) are classical kernel-based models that offer principled uncertainty quantification and…

Machine Learning · Statistics 2026-04-30 Albert Saiapin , Kim Batselier

Graph neural networks (GNNs), especially dynamic GNNs, have become a research hotspot in spatio-temporal forecasting problems. While many dynamic graph construction methods have been developed, relatively few of them explore the causal…

Machine Learning · Computer Science 2023-05-18 Guojun Liang , Prayag Tiwari , Sławomir Nowaczyk , Stefan Byttner , Fernando Alonso-Fernandez

Deep reinforcement learning (DRL) has seen remarkable success in the control of single robots. However, applying DRL to robot swarms presents significant challenges. A critical challenge is non-stationarity, which occurs when two or more…

Robotics · Computer Science 2023-08-29 Joshua Bloom , Pranjal Paliwal , Apratim Mukherjee , Carlo Pinciroli