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Multiscale stochastic dynamical systems have been widely adopted to a variety of scientific and engineering problems due to their capability of depicting complex phenomena in many real world applications. This work is devoted to…

机器学习 · 统计学 2024-01-02 Lingyu Feng , Ting Gao , Min Dai , Jinqiao Duan

In this paper, we propose a novel unsupervised learning method to learn the brain dynamics using a deep learning architecture named residual D-net. As it is often the case in medical research, in contrast to typical deep learning tasks, the…

机器学习 · 统计学 2019-03-01 Youngjoo Seo , Manuel Morante , Yannis Kopsinis , Sergios Theodoridis

Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

机器学习 · 计算机科学 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

Monocular Depth and Surface Normals Estimation (MDSNE) is crucial for tasks such as 3D reconstruction, autonomous navigation, and underwater exploration. Current methods rely either on discriminative models, which struggle with transparent…

计算机视觉与模式识别 · 计算机科学 2025-07-15 Alzayat Saleh , Melanie Olsen , Bouchra Senadji , Mostafa Rahimi Azghadi

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

信息论 · 计算机科学 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

Modeling continuous dynamical systems from discretely sampled observations is a fundamental problem in data science. Often, such dynamics are the result of non-local processes that present an integral over time. As such, these systems are…

Implementing accurate Distribution System State Estimation (DSSE) faces several challenges, among which the lack of observability and the high density of the distribution system. While data-driven alternatives based on Machine Learning…

机器学习 · 计算机科学 2023-06-27 Benjamin Habib , Elvin Isufi , Ward van Breda , Arjen Jongepier , Jochen L. Cremer

We propose data-driven nonlinear smoother (DNS) to estimate a hidden state sequence of a complex dynamical process from a noisy, linear measurement sequence. The dynamical process is model-free, that is, we do not have any knowledge of the…

信号处理 · 电气工程与系统科学 2026-02-10 Fredrik Cumlin , Anubhab Ghosh , Saikat Chatterjee

Ensuring protective device coordination is critical to maintain the resilience and improve the reliability of large microgrids. Inverter-interfaced generation, however, poses significant challenges when designing protection systems.…

系统与控制 · 电气工程与系统科学 2023-01-31 Arthur K. Barnes , Sarbajit Basu , Adam Mate

In this paper, we propose a non-parametric method for state estimation of high-dimensional nonlinear stochastic dynamical systems, which evolve according to gradient flows with isotropic diffusion. We combine diffusion maps, a manifold…

信号处理 · 电气工程与系统科学 2019-02-26 Tal Shnitzer , Ronen Talmon , Jean-Jacques Slotine

An efficient state estimation model, neural network estimation (NNE), empowered by machine learning techniques, is presented for full quantum state tomography (FQST). A parameterized function based on neural network is applied to map the…

量子物理 · 物理学 2018-11-20 Qian Xu , Shuqi Xu

We propose in this paper a data driven state estimation scheme for generating nonlinear reduced models for parametric families of PDEs, directly providing data-to-state maps, represented in terms of Deep Neural Networks. A major constituent…

数值分析 · 数学 2022-07-20 Wolfgang Dahmen , Min Wang , Zhu Wang

Latent neural stochastic differential equations (SDEs) have recently emerged as a promising approach for learning generative models from stochastic time series data. However, they systematically underestimate the noise level inherent in…

机器学习 · 计算机科学 2025-06-11 Linus Heck , Maximilian Gelbrecht , Michael T. Schaub , Niklas Boers

Further analysis and experimentation is carried out in this paper for a chaotic dynamic model, viz. the Nonlinear Dynamic State neuron (NDS). The analysis and experimentations are performed to further understand the underlying dynamics of…

神经与进化计算 · 计算机科学 2014-08-19 Mohammad Alhawarat , Waleed Nazih , Mohammad Eldesouki

This paper presents a review of the literature on State Estimation (SE) in power systems. While covering some works related to SE in transmission systems, the main focus of this paper is Distribution System State Estimation (DSSE). The…

系统与控制 · 计算机科学 2018-09-21 Kaveh Dehghanpour , Zhaoyu Wang , Jianhui Wang , Yuxuan Yuan , Fankun Bu

Brain-computer interfaces (BCIs) have enabled prosthetic device control by decoding motor movements from neural activities. Neural signals recorded from cortex exhibit nonstationary property due to abrupt noises and neuroplastic changes in…

信号处理 · 电气工程与系统科学 2019-11-05 Yu Qi , Bin Liu , Yueming Wang , Gang Pan

This work aims to estimate the drift and diffusion functions in stochastic differential equations (SDEs) driven by a particular class of L\'evy processes with finite jump intensity, using neural networks. We propose a framework that…

机器学习 · 统计学 2025-07-10 Jose-Hermenegildo Ramirez-Gonzalez , Ying Sun

Estimating the state of a dynamical system from a series of noise-corrupted observations is fundamental in many areas of science and engineering. The most well-known method, the Kalman smoother (and the related Kalman filter), relies on…

机器学习 · 统计学 2017-04-24 Luca Ambrogioni , Umut Güçlü , Eric Maris , Marcel van Gerven

This study analyzes Graph Neural Networks (GNNs) for distribution system state estimation (DSSE) by employing an interpretable Graph Neural Additive Network (GNAN) and by utilizing an edge-conditioned message-passing mechanism. The…

系统与控制 · 电气工程与系统科学 2026-03-25 Arbel Yaniv , Kilian Golinski , Christoph Goebel

Many consequential real-world systems, like wind fields and ocean currents, are dynamic and hard to model. Learning their governing dynamics remains a central challenge in scientific machine learning. Dynamic Mode Decomposition (DMD)…

机器学习 · 计算机科学 2025-11-26 Yujin Kim , Sarah Dean