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Compared with traditional design methods, generative design significantly attracts engineers in various disciplines. In thiswork, howto achieve the real-time generative design of optimized structures with various diversities and…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 Zongliang Du , Xinyu Ma , Wenyu Hao , Yuan Liang , Xiaoyu Zhang , Hongzhi Luo , Xu Guo

Reactive power has been proposed as a method of voltage control for distribution networks, providing a means of increasing the amount of energy transferred from distributed generators to the bulk transmission network. The value of reactive…

Optimization and Control · Mathematics 2019-03-12 Matthew Deakin , Thomas Morstyn , Dimitra Apostolopoulou , Malcolm McCulloch

Analog computing based on memristor technology is a promising solution to accelerating the inference phase of deep neural networks (DNNs). A fundamental problem is to map an arbitrary matrix to a memristor crossbar array (MCA) while…

Emerging Technologies · Computer Science 2019-11-28 Baogang Zhang , Necati Uysal , Deliang Fan , Rickard Ewetz

In this paper we treat a gas storage valuation problem as a Markov Decision Process. As opposed to existing literature we model the gas price process as a regime-switching model. Such a model has shown to fit market data quite well in Chen…

Pricing of Securities · Quantitative Finance 2017-08-02 Nicole Bäuerle , Viola Riess

Installation of capacitors in distribution networks is one of the most used procedure to compensate reactive power generated by loads and, consequently, to reduce technical losses. So, the problem consists in identifying the optimal…

Optimization and Control · Mathematics 2017-02-01 André R. Goncalves , Celso Cavelucci , Christiano Lyra Filho , Fernando J. Von Zuben

Recently increasing penetration of renewable energy generation brings challenges for power system operators to perform efficient power generation daily scheduling, due to the intermittent nature of the renewable generation and discrete…

Optimization and Control · Mathematics 2019-10-22 Yongpei Guan , Kai Pan , Kezhuo Zhou

In the midst of the neural network's success in solving partial differential equations, tackling eigenvalue problems using neural networks remains a challenging task. However, the Physics Constrained-General Inverse Power Method Neural…

Numerical Analysis · Mathematics 2024-11-26 Shupei Yu , Qiaolin He , Shiquan Zhang , Qihong Yang , Yu Yang , Helin Gong

Quantifying the potential benefits of microgrids in the design phase can support the transition of passive distribution networks into microgrids. At current, reliability and resilience are the main drivers for this transition. Therefore,…

Optimization and Control · Mathematics 2020-06-12 Raphael Wu , Giovanni Sansavini

This paper is concerned with the problem of designing distributed control protocols for network systems affected by delays and disturbances consisting of a first-order polynomial component and a residual signal. Specifically, we propose the…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Shihao Xie , Giovanni Russo

We consider the problem of optimal sparse output feedback controller synthesis for continuous linear time invariant systems when the feedback gain is static and subject to specified structural constraints. Introducing an additional term…

Optimization and Control · Mathematics 2015-06-23 Reza Arastoo , Nader Motee , Mayuresh V. Kothare

One of the most important challenges in the integration of renewable energy sources into the power grid lies in their `intermittent' nature. The power output of sources like wind and solar varies with time and location due to factors that…

Systems and Control · Computer Science 2011-10-21 Yashodhan Kanoria , Andrea Montanari , David Tse , Baosen Zhang

For a sufficiently nice 2 dimensional shape, we define its approximating matrix (or patterned matrix) as a random matrix with iid entries arranged according to a given pattern. For large approximating matrices, we observe that the…

Probability · Mathematics 2022-01-04 Tapesh Yadav

Low-rank tensor approximation techniques attempt to mitigate the overwhelming complexity of linear algebra tasks arising from high-dimensional applications. In this work, we study the low-rank approximability of solutions to linear systems…

Numerical Analysis · Mathematics 2016-01-08 Daniel Kressner , André Uschmajew

The wavelength of a periodic spatial structure of Turing type is an intrinsic property of the considered reaction-diffusion dynamics and we address the question of its control at the microscopic scale for given dynamical parameters. The…

Pattern Formation and Solitons · Physics 2018-09-26 Gabriel Morgado , Bogdan Nowakowski , Annie Lemarchand

Multi-dimensional magnetic resonance spectroscopy is an important tool for studying molecular structures, interactions and dynamics in bio-engineering. The data acquisition time, however, is relatively long and non-uniform sampling can be…

Medical Physics · Physics 2017-01-26 Xiaobo Qu , Jiaxi Ying , Jian-Feng Cai , Zhong Chen

In this paper, we first study the projections onto the set of unit dual quaternions, and the set of dual quaternion vectors with unit norms. Then we propose a power method for computing the dominant eigenvalue of a dual quaternion Hermitian…

Optimization and Control · Mathematics 2023-05-02 Chunfeng Cui , Liqun Qi

We consider the problem of optimal reactive power compensation for the minimization of power distribution losses in a smart microgrid. We first propose an approximate model for the power distribution network, which allows us to cast the…

Optimization and Control · Mathematics 2013-12-17 Saverio Bolognani , Sandro Zampieri

The configuration interaction approach provides a conceptually simple and powerful approach to solve the Schr\"odinger equation for realistic molecules and materials but is characterized by an unfavourable scaling, which strongly limits its…

Chemical Physics · Physics 2022-08-16 B. Herzog , B. Casier , S. Lebègue , D. Rocca

Compositional energy-based models can generalize to larger combinatorial reasoning problems by reusing a learned factor energy across many local constraints. In our paper, we show that a key bottleneck in compositional reasoning is not…

We demonstrate a novel approach to reservoir computation measurements using random matrices. We do so to motivate how atomic-scale devices could be used for real-world computational applications. Our approach uses random matrices to…

Quantum Physics · Physics 2026-01-12 Samuel Tovey , Tobias Fellner , Christian Holm , Michael Spannowsky