Quantum-inspired method of neural modeling of the day-ahead market of the Polish electricity exchange
The paper presents selected elements of a modelling methodology involving quantization, quantum calculations and dequantization on the example of the neural model of the Day-Ahead Market of the Polish Electricity Exchange. Based on the fundamental assumptions of quantum computing, a new method has b...
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| Veröffentlicht in: | Control and Cybernetics 2021-07, Vol.50 (3), p.383-399 |
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| container_title | Control and Cybernetics |
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| creator | Tchorzewsk, Jerzy Rucinski, Dariusz |
| description | The paper presents selected elements of a modelling methodology involving quantization, quantum calculations and dequantization on the example of the neural model of the Day-Ahead Market of the Polish Electricity Exchange. Based on the fundamental assumptions of quantum computing, a new method has been proposed here of converting the real numbers in decimal notation into quantum mixed numbers using the probability modules of quantum mixed number and the principle of superposition, along with a new method of quantum calculations using linear algebra and vectormatrix calculus, and the Artificial Neural Network was taught accordingly. Dequantization of quantum mixed numbers to real numbers in decimal notation using the new method of dequantization has been proposed as well. The operation of the methods introduced was shown on numerical examples. |
| doi_str_mv | 10.2478/candc-2021-0023 |
| format | Article |
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| ispartof | Control and Cybernetics, 2021-07, Vol.50 (3), p.383-399 |
| issn | 2720-4278 0324-8569 2720-4278 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | Algebra artificial neural networks day-ahead market dequantization with ANN Methods neural modeling Neural networks Polish Electricity Exchange quantum computing quantum-inspired method system quantization |
| title | Quantum-inspired method of neural modeling of the day-ahead market of the Polish electricity exchange |
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