alternative algorithm
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Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 183
Author(s):  
Xiaobing Yu ◽  
Xuejing Wu ◽  
Wenguan Luo

As one of the most promising forms of renewable energy, solar energy is increasingly deployed. The simulation and control of photovoltaic (PV) systems requires identification of their parameters. A Hybrid Adaptive algorithm based on JAYA and Differential Evolution (HAJAYADE) is developed to identify these parameters accurately and reliably. The HAJAYADE algorithm consists of adaptive JAYA, adaptive DE, and the chaotic perturbation method. Two adaptive coefficients are introduced in adaptive JAYA to balance the local and global search. In adaptive DE, the Rank/Best/1 mutation operator is put forward to boost the exploration and maintain the exploitation. The chaotic perturbation method is applied to reinforce the local search further. The HAJAYADE algorithm is employed to address the parameter identification of PV systems through five test cases, and the eight latest meta-heuristic algorithms are its opponents. The mean RMSE values of the HAJAYADE algorithm from five test cases are 9.8602 × 10−4, 9.8294 × 10−4, 2.4251 × 10−3, 1.7298 × 10−3, and 1.6601 × 10−2. Consequently, HAJAYADE is proven to be an efficient and reliable algorithm and could be an alternative algorithm to identify the parameters of PV systems.


2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Oinam Romesh Meitei ◽  
Bryan T. Gard ◽  
George S. Barron ◽  
David P. Pappas ◽  
Sophia E. Economou ◽  
...  

AbstractThe variational quantum eigensolver is currently the flagship algorithm for solving electronic structure problems on near-term quantum computers. The algorithm involves implementing a sequence of parameterized gates on quantum hardware to generate a target quantum state, and then measuring the molecular energy. Due to finite coherence times and gate errors, the number of gates that can be implemented remains limited. In this work, we propose an alternative algorithm where device-level pulse shapes are variationally optimized for the state preparation rather than using an abstract-level quantum circuit. In doing so, the coherence time required for the state preparation is drastically reduced. We numerically demonstrate this by directly optimizing pulse shapes which accurately model the dissociation of H2 and HeH+, and we compute the ground state energy for LiH with four transmons where we see reductions in state preparation times of roughly three orders of magnitude compared to gate-based strategies.


2021 ◽  
Vol 8 (14) ◽  
pp. 39-73
Author(s):  
David Luque Sacaluga

Abstract In this paper a new method for solving the problem of placing n queens on a n×n chessboard such that no two queens directly threaten one another and considering that several immovable queens are already occupying established positions on the board is presented. At first, it is applied to the 8–Queens puzzle on a classical chessboard and finally to the n Queens completion puzzle. Furthermore, this method allows finding repetitive patterns of solutions for any n.


2021 ◽  
Vol 13 (5) ◽  
pp. 24
Author(s):  
Ziad Zahreddine

The Extended Routh Array (ERA) settles the asymptotic stability of complex polynomials. The ERA is a natural extension of the Routh Array which applies only to real polynomials. Although the ERA is a nice theoretical algorithm for stability testing, it has its limitations. Unfortunately, as the order of the polynomial increases, the size of calculations increases dramatically as will be shown below. In the current work, we offer an alternative algorithm which is basically equivalent to the ERA, but has the extra advantage of being simpler, more efficient, and easy to apply even to large order polynomials. In all the steps required in the construction of the new algorithm, only one single and simple algebraic operation is needed, which makes it a polynomial order-independent algorithm.


2021 ◽  
Vol 17 (1) ◽  
pp. 1-15
Author(s):  
Antonio Rojas Canela ◽  
Juan Carlos Moreno-Brid

The objective of this article is to improve the most widely used indicator of quality in public investment management (the PIMI). The methodology was to use an alternative algorithm to build a new version of the PIMI and calculate it for sixteen Latin American countries. The result is a New PIMI that appears better than the original one, as it has a positive correlation with an objective indicator of the efficiency of public investment, which is not achieved by the original PIMI. We recommend the use of the New PIMI, proposed here, as a control variable in studies on aggregated public investment and its impacts on economic growth and social welfare. One limitation of the New PIMI is that it reflects the quality of public investment management at the aggregate level and based on de jure criteria, thus not capturing key differences that occur at a more disaggregated or informal level. Even so, the relevance, originality and replicability of the New PIMI make it a significant contribution to knowledge in this field.


2021 ◽  
Vol 06 (02) ◽  
pp. e57-e62
Author(s):  
Toshiyuki Watanabe ◽  
Yuzaburo Namba ◽  
Yoshihiro Kimata

Abstract Background Various phalloplasty methods have been reported; however, a consensus has not been reached. Therefore, we suggest an alternative algorithm for an ideal phalloplasty considering the factors that affect flap selection. Methods We retrospectively examined 32 phalloplasty cases of female-to-male transgender. Flaps used for phalloplasty were classified into three groups as follows: (1) radial forearm (RF) group, (2) anterolateral thigh (ALT) group, and (3) flap combination (FC) group. Statistical analyses were performed to determine the significance of age and body mass index (BMI) as well as differences in the rates of postoperative complication, reoperation, esthetic acceptability, tactile or erogenous sensibility, and the ability to urinate while standing. Results Ten cases were included in the RF group and 7 and 15 cases in the ALT and FC groups, respectively. With respect to BMI, the RF group (mean [standard deviation (SD)] = 25.9 [3.3]) showed significantly higher BMI than the ALT (21.7 [0.9]) or FC group (22.2 [4.5]). The RF (mean [SD] = 3.7 [0.4]) and ALT groups (3.5 [0.9]) had significantly higher esthetic acceptability evaluation scores (from 1 to 4) than the FC group (2.5 [1.2]). Moreover, the RF and ALT groups were superior than the FC group in terms of tactile or erogenous sensibility rates. Conclusion BMI effected flap choices for phalloplasty because of the correlation between BMI and skin thickness. FC becomes an option between ALT flap and RF flap in terms of flap choice based on BMI. Our alternative algorithm for an ideal phalloplasty based on BMI will be useful for objective flap choices.


Diagnostics ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 981
Author(s):  
Lotte Lindberg ◽  
Bent Kristensen ◽  
Ebbe Eldrup ◽  
Jane Frølund Thomsen ◽  
Lars Thorbjørn Jensen

Raynaud’s phenomenon (RP) is characterized by the episodic whitening of the fingers upon exposure to cold. A recently described thermographic algorithm was proposed as a diagnostic replacement of the currently applied finger systolic pressure (FSP) test. The aim of the study was to evaluate the performance of the thermographic algorithm when applied in patients suspected of having RP. Forty-three patients were examined using thermographic imaging after local cooling of the hands in water of 10 °C for 1 min. The thermographic algorithm was applied to predict the probability of RP. The performance of the algorithm was evaluated with different cut-off levels. A new algorithm was proposed based on patients from the target population. The performance of the tested algorithm was noninferior to the FSP test, when a cut-off level of 0.05 was applied, yielding a sensitivity and specificity of 69% and 58%, respectively. The accuracy was 66%. The FSP test had a sensitivity and specificity of 77% and 37%, respectively, and the accuracy was 59%. The thermographic method proved useful for detecting RP and was able to replace the FSP test as a diagnostic test. The alternative algorithm revealed that other thermographic variables were more predictive of the target population, but this should be verified in future patients.


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