Search Results - Gradient descent iterative algorithm

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  1. 1

    Approximate solutions of the 2D space-time fractional diffusion equation via a gradient-descent iterative algorithm with Grünwald-Letnikov approximation by Adisorn Kittisopaporn, Pattrawut Chansangiam

    ISSN: 2473-6988
    Published: AIMS Press 01.01.2022
    Published in AIMS mathematics (01.01.2022)
    “… Then we linearize the discretized equations into a sparse linear system. To solve such linear system, we propose a gradient-descent iterative algorithm with a sequence of optimal convergence factor aiming to minimize the error occurring at each iteration…”
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  2. 2

    Approximate solutions of the $ 2 $D space-time fractional diffusion equation via a gradient-descent iterative algorithm with Grünwald-Letnikov approximation by Kittisopaporn, Adisorn, Chansangiam, Pattrawut

    ISSN: 2473-6988, 2473-6988
    Published: 01.02.2022
    Published in AIMS mathematics (01.02.2022)
    “… Then we linearize the discretized equations into a sparse linear system. To solve such linear system, we propose a gradient-descent iterative algorithm with a sequence of optimal convergence factor aiming to minimize the error occurring at each iteration…”
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  3. 3

    Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm by Kittisopaporn, Adisorn, Chansangiam, Pattrawut

    ISSN: 1687-1847, 1687-1839, 1687-1847
    Published: Cham Springer International Publishing 21.05.2021
    Published in Advances in difference equations (21.05.2021)
    “…This paper proposes an effective gradient-descent iterative algorithm for solving a generalized Sylvester-transpose equation with rectangular matrix coefficients…”
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  4. 4

    Gradient-descent iterative algorithm for solving exact and weighted least-squares solutions of rectangular linear systems by Tansri, Kanjanaporn, Chansangiam, Pattrawut

    ISSN: 2473-6988, 2473-6988
    Published: AIMS Press 01.01.2023
    Published in AIMS mathematics (01.01.2023)
    “… We propose an iterative algorithm for solving this linear system, based on gradient-descent optimization technique, aiming to produce a sequence of well-approximate least-squares solutions…”
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  5. 5

    Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations by Kittisopaporn, Adisorn, Chansangiam, Pattrawut

    ISSN: 1687-1847, 1687-1839, 1687-1847
    Published: Cham Springer International Publishing 01.07.2020
    Published in Advances in difference equations (01.07.2020)
    “… t = C which includes a class of linear matrix equations. The objective of the algorithm is to minimize an error at each iteration by the idea of gradient-descent…”
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  6. 6

    Force/Position Hybrid Control for a Hexa Robot Using Gradient Descent Iterative Learning Control Algorithm by Huynh, Ba-Phuc, Wu, Cheng-Wei, Kuo, Yong-Lin

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 2019
    Published in IEEE access (2019)
    “… In addition, a gradient descent iterative learning control algorithm is used and modified to determine the optimal impedance parameters in unknown environments…”
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  7. 7

    A generalized minimal residual based iterative back propagation algorithm for polynomial nonlinear models by Chen, Jing, Rong, Yingjiao, Zhu, Quanmin, Chandra, Budi, Zhong, Hongxiu

    ISSN: 0167-6911, 1872-7956
    Published: Elsevier B.V 01.07.2021
    Published in Systems & control letters (01.07.2021)
    “… This algorithm, based on Arnoldi’s method, can be regarded as a modified gradient descent iterative algorithm, and provides several advantages over the traditional gradient descent iterative algorithm: (1…”
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  8. 8

    Analysis of gradient descent ontology iterative algorithm for geological setting by Wu, Hualong, Zhao, Bo, Gao, Wei

    ISSN: 2474-9508, 2474-9508
    Published: Taylor & Francis 02.01.2017
    Published in Geology, ecology, and landscapes (02.01.2017)
    “… And the similarity between vertices is measured by the difference of their corresponding scores. We propose the gradient descent ontology algorithm for this setting…”
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  9. 9

    Varying Infimum Gradient Descent Algorithm for Agent-Sever Systems Using Different Order Iterative Preconditioning Methods by Chen, Jing, Wang, Dongqing, Liu, Yanjun, Zhu, Quanmin

    ISSN: 1551-3203, 1941-0050
    Published: Piscataway IEEE 01.07.2022
    “…>. This article studies a varying infimum gradient descent algorithm, which can move down the infimum by using different order iterative preconditioning methods, as follows…”
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  10. 10

    Iterative quantum algorithm for combinatorial optimization based on quantum gradient descent by Yi, Xin, Huo, Jia-Cheng, Gao, Yong-Pan, Fan, Ling, Zhang, Ru, Cao, Cong

    ISSN: 2211-3797, 2211-3797
    Published: Elsevier B.V 01.01.2024
    Published in Results in physics (01.01.2024)
    “… Here, an iterative quantum algorithm based on quantum gradient descent to solve combinatorial optimization problems is introduced, where the initial state of a quantum register evolves over several…”
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  11. 11

    A Hybrid Iterative Algorithm of Amplitude Weighting and Phase Gradient Descent for Generating Phase-Only Fourier Hologram by Fan, Min, Yang, Jin, Du, Chengtao, Fang, Jie, Wang, Haibo, Li, Chenlu

    ISSN: 0765-0019, 1958-5608
    Published: Edmonton International Information and Engineering Technology Association (IIETA) 01.10.2022
    Published in Traitement du signal (01.10.2022)
    “… This paper proposes a hybrid iterative algorithm of Amplitude Weighting and Phase Gradient Descent (AW-PGD…”
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  12. 12

    Accelerating iterative ptychography with an integrated neural network by McCray, Arthur R. C., Ribet, Stephanie M., Varnavides, Georgios, Ophus, Colin

    ISSN: 0022-2720, 1365-2818, 1365-2818
    Published: England Wiley Subscription Services, Inc 01.11.2025
    Published in Journal of microscopy (Oxford) (01.11.2025)
    “… In this work, we present a method for accelerating a gradient descent‐based iterative reconstruction algorithm by training a neural network (NN…”
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  13. 13

    Phase-Only Pattern Synthesis of Domino Tiling Irregular Arrays Based on Deep Reinforcement Learning and Gradient-Descent Optimization by Ma, Yihan, Guo, Yibing, Luo, Qi, Zhou, Yonggang, Yang, Guangwei, Gao, Steven

    ISSN: 0018-926X, 1558-2221
    Published: New York IEEE 01.08.2025
    “… In this article, a novel framework that incorporates a deep reinforcement learning (DRL) technique with a gradient-descent optimization method for phase-only pattern synthesis of domino-shaped irregular arrays is proposed…”
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  14. 14

    A hybrid iterative Fourier ptychographic microscopy algorithm based on fusion of random phase perturbation and gradient descent strategy by Ren, Shuo, Cheng, Hong, Sun, Siwei, Li, Ju, Li, Wei, Cheng, Yifan

    ISSN: 0972-8821, 0974-6900
    Published: New Delhi Springer India 01.04.2024
    Published in Journal of optics (New Delhi) (01.04.2024)
    “… and the tendency to fall into local minima. To address the above problems, this paper proposes an iterative FPM algorithm that fuses phase perturbation factor and gradient descent in the spatial-frequency domain and embeds an aberration…”
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  15. 15

    Off-Grid DOA Estimation With Mutual Coupling via Block Log-Sum Minimization and Iterative Gradient Descent by Tang, Wen-Gen, Jiang, Hong, Zhang, Qi

    ISSN: 2162-2337, 2162-2345
    Published: Piscataway IEEE 01.02.2022
    Published in IEEE wireless communications letters (01.02.2022)
    “… In this letter, we present an iterative block sparsity reconstruction algorithm for off-grid DOA estimation with MC…”
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  16. 16

    The weighted iterative algorithms for state of health estimation using Volterra series model: least squares algorithm and gradient descent algorithm by Zhu, Yongqiang, Chen, Jing

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 01.01.2025
    Published in IEEE access (01.01.2025)
    “…The state of health (SOH) can usually be described by an exponential model. Traditional least squares and gradient descent algorithms are inefficient for such a special model…”
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  17. 17

    Cyclic gradient descent optimisation for joint MAP estimation of channel and phase noise in orthogonal frequency division multiplexing by Shrivastav, Kamayani, Yadav, Rajendra Prasad, Jain, Kamal Chand

    ISSN: 1751-8628, 1751-8636
    Published: The Institution of Engineering and Technology 31.07.2018
    Published in IET communications (31.07.2018)
    “… An iterative cyclic gradient descent optimisation algorithm is derived to minimise the cost function over the unknown CTF and PHN…”
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  18. 18

    Computational and Statistical Guarantees for Tensor-on-Tensor Regression With Tensor Train Decomposition by Qin, Zhen, Zhu, Zhihui

    ISSN: 0162-8828, 1939-3539, 2160-9292, 1939-3539
    Published: United States IEEE 01.11.2025
    “…Recently, a tensor-on-tensor (ToT) regression model has been proposed to generalize tensor recovery, encompassing scenarios like scalar-on-tensor regression…”
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  19. 19

    Large Airborne Full Tensor Gradient Data Inversion Based on a Non-Monotone Gradient Method by Sun, Yong, Meng, Zhaohai, Li, Fengting

    ISSN: 0033-4553, 1420-9136
    Published: Cham Springer International Publishing 01.03.2018
    Published in Pure and applied geophysics (01.03.2018)
    “… Many algorithms are available to accelerate the FTG data inversion, such as conjugate gradient method…”
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  20. 20

    Quantized phase-only hologram generation based on an iterative algorithm with time-multiplexing by Zheng, Huadong, Zhang, Tengfei, Fang, Qiwei, Lin, Xingyu, Yu, Yingjie

    ISSN: 1539-4522, 2155-3165, 1539-4522
    Published: United States 01.09.2025
    “… This study proposes a quantized stochastic gradient descent iterative algorithm that enables direct-generation of 4-bit-depth phase-only holograms at 2K resolution…”
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