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This paper examines a general class of noisy matrix completion tasks where the goal is to estimate a matrix from observations obtained at a subset of its entries, each of which is subject to random noise or corruption. Our specific focus is…

Machine Learning · Statistics 2016-11-18 Akshay Soni , Swayambhoo Jain , Jarvis Haupt , Stefano Gonella

Distributed sensor networks often include a multitude of sensors, each measuring parts of a process state space or observing the operations of a system. Communication of measurements between the sensor nodes and estimator(s) cannot…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Sanjay Chandrasekaran , Vishnu Varadan , Siva Vignesh Krishnan , Florian Dörfler , Mohammad H. Mamduhi

Phasor measurement units (PMUs) have the advantage of providing direct measurements of power states. However, as the number of PMUs in a power system is limited, the traditional supervisory control and data acquisition (SCADA) system cannot…

Systems and Control · Computer Science 2016-07-12 Jian Du , Shaodan Ma , Yik-Chung Wu , H. Vincent Poor

This paper proposes a fully distributed robust state-estimation (D-RBSE) method that is applicable to multi-area power systems with nonlinear measurements. We extend the recently introduced bilinear formulation of state estimation problems…

Systems and Control · Computer Science 2015-08-18 Weiye Zheng , Wenchuan Wu , Antonio Gomez-Exposito , Boming Zhang

Boolean matrix factorization and Boolean matrix completion from noisy observations are desirable unsupervised data-analysis methods due to their interpretability, but hard to perform due to their NP-hardness. We treat these problems as…

Statistics Theory · Mathematics 2016-02-08 Siamak Ravanbakhsh , Barnabas Poczos , Russell Greiner

We propose a framework for integrating optimal power flow (OPF) with state estimation (SE) in the loop for distribution networks. Our approach combines a primal-dual gradient-based OPF solver with a SE feedback loop based on a limited set…

Optimization and Control · Mathematics 2022-05-05 Yi Guo , Xinyang Zhou , Changhong Zhao , Lijun Chen , Tyler H. Summers

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

Systems and Control · Computer Science 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

This paper investigates statistical inference for noisy matrix completion in a semi-supervised model when auxiliary covariates are available. The model consists of two parts. One part is a low-rank matrix induced by unobserved latent…

Methodology · Statistics 2024-03-27 Shujie Ma , Po-Yao Niu , Yichong Zhang , Yinchu Zhu

In this paper, we present a novel data-driven approach to detect outage events in partially observable distribution systems by capturing the changes in smart meters' (SMs) data distribution. To achieve this, first, a breadth-first search…

Systems and Control · Electrical Eng. & Systems 2019-12-12 Yuxuan Yuan , Kaveh Dehghanpour , Fankun Bu , Zhaoyu Wang

In low-voltage distribution networks, the integration of novel energy technologies can be accelerated through advanced optimization-based analytics such as network state estimation and network-constrained dispatch engines for distributed…

Optimization and Control · Mathematics 2023-08-23 Frederik Geth , Rahmat Heidari , Arpan Koirala

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

Numerical Analysis · Mathematics 2021-08-04 Fredy Vides

This manuscript presents novel techniques for identifying the switch states, phase identification, and estimation of equipment parameters in multi-phase low voltage electrical grids, which is a major challenge in long-standing German low…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Steven de Jongh , Felicitas Mueller , Fabian Osterberg , Claudio A. Cañizares , Thomas Leibfried , Kankar Bhattacharya

Modern surveys with large sample sizes and growing mixed-type questionnaires require robust and scalable analysis methods. In this work, we consider recovering a mixed dataframe matrix, obtained by complex survey sampling, with entries…

Methodology · Statistics 2024-02-07 Xiaojun Mao , Hengfang Wang , Zhonglei Wang , Shu Yang

The identification of distribution network topology and parameters is a critical problem that lays the foundation for improving network efficiency, enhancing reliability, and increasing its capacity to host distributed energy resources.…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Ognjen Stanojev , Lucien Werner , Steven Low , Gabriela Hug

Structural matrix-variate observations routinely arise in diverse fields such as multi-layer network analysis and brain image clustering. While data of this type have been extensively investigated with fruitful outcomes being delivered, the…

Statistics Theory · Mathematics 2022-01-25 Zhongyuan Lyu , Dong Xia

The reduction of overall system inertia in modern power systems due to the increasing deployment of distributed energy resources is generally recognized as a major issue for system stability. Consequently, real-time monitoring of system…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Nicolai Lorenz-Meyer , Hans Würfel , Johannes Schiffer

Noisy matrix completion aims at estimating a low-rank matrix given only partial and corrupted entries. Despite substantial progress in designing efficient estimation algorithms, it remains largely unclear how to assess the uncertainty of…

Machine Learning · Statistics 2019-11-15 Yuxin Chen , Jianqing Fan , Cong Ma , Yuling Yan

This paper revisits the work of Rauch et al. (1965) and develops a novel method for recursive maximum likelihood particle filtering for general state-space models. The new method is based on statistical analysis of incomplete observations…

Methodology · Statistics 2022-11-10 Budhi Arta Surya

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

Systems and Control · Computer Science 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski
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