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 Cape Girardeau


Using Deep Operators to Create Spatio-temporal Surrogates for Dynamical Systems under Uncertainty

arXiv.org Machine Learning

Spatio-temporal data, which consists of responses or measurements gathered at different times and positions, is ubiquitous across diverse applications of civil infrastructure. While SciML methods have made significant progress in tackling the issue of response prediction for individual time histories, creating a full spatial-temporal surrogate remains a challenge. This study proposes a novel variant of deep operator networks (DeepONets), namely the full-field Extended DeepONet (FExD), to serve as a spatial-temporal surrogate that provides multi-output response predictions for dynamical systems. The proposed FExD surrogate model effectively learns the full solution operator across multiple degrees of freedom by enhancing the expressiveness of the branch network and expanding the predictive capabilities of the trunk network. The proposed FExD surrogate is deployed to simultaneously capture the dynamics at several sensing locations along a testbed model of a cable-stayed bridge subjected to stochastic ground motions. The ensuing response predictions from the FExD are comprehensively compared against both a vanilla DeepONet and a modified spatio-temporal Extended DeepONet. The results demonstrate the proposed FExD can achieve both superior accuracy and computational efficiency, representing a significant advancement in operator learning for structural dynamics applications.


Meta-Reinforcement Learning with Discrete World Models for Adaptive Load Balancing

arXiv.org Artificial Intelligence

We integrate a meta-reinforcement learning algorithm with the DreamerV3 architecture to improve load balancing in operating systems. This approach enables rapid adaptation to dynamic workloads with minimal retraining, outperforming the Advantage Actor-Critic (A2C) algorithm in standard and adaptive trials. It demonstrates robust resilience to catastrophic forgetting, maintaining high performance under varying workload distributions and sizes. These findings have important implications for optimizing resource management and performance in modern operating systems. By addressing the challenges posed by dynamic and heterogeneous workloads, our approach advances the adaptability and efficiency of reinforcement learning in real-world system management tasks.


Benchmarking Deep Learning Classifiers: Beyond Accuracy

arXiv.org Artificial Intelligence

Previous research evaluating deep learning (DL) classifiers has often used top-1/top-5 accuracy. However, the accuracy of DL classifiers is unstable in that it often changes significantly when retested on imperfect or adversarial images. This paper adds to the small but fundamental body of work on benchmarking the robustness of DL classifiers on imperfect images by proposing a two-dimensional metric, consisting of mean accuracy and coefficient of variation, to measure the robustness of DL classifiers. Spearman's rank correlation coefficient and Pearson's correlation coefficient are used and their independence evaluated. A statistical plot we call mCV is presented which aims to help visualize the robustness of the performance of DL classifiers across varying amounts of imperfection in tested images. Finally, we demonstrate that defective images corrupted by two-factor corruption could be used to improve the robustness of DL classifiers. All source codes and related image sets are shared on a website (http://www.animpala.com) to support future research projects.