Search Results - Gradient descent iterative algorithm

Gradient-descent iterative algorithm for solving exact and weighted least-squares solutions of rectangular linear systems

Authors: Kanjanaporn Tansri Pattrawut Chansangiam

Source: AIMS Mathematics, Vol 8, Iss 5, Pp 11781-11798 (2023)

Subject Terms: FOS: Political science, Norm (philosophy), Computational Mechanics, Estimator, least-squares solution, Engineering, Political science, Eigenvalues and eigenvectors, weighted norm, Numerical Analysis, Numerical Optimization Techniques, Physics, Mathematical optimization, Statistics, Singular value decomposition, Theory and Applications of Compressed Sensing, Iterative method, Algorithm, Computational Theory and Mathematics, Rank (graph theory), Residual, Physical Sciences, Sparse Linear Systems, Iterative Methods, Artificial neural network, Convex Optimization, FOS: Law, Quantum mechanics, convergence analysis, Positive-definite matrix, iterative method, Machine learning, QA1-939, FOS: Mathematics, Linear least squares, Genetics, Orthogonal Matching Pursuit, gradient-descent, Biology, Matrix Algorithms and Iterative Methods, Gradient descent, Applied mathematics, Computer science, Combinatorics, FOS: Biological sciences, Computer Science, Law, Mathematics, Least-squares function approximation, Matrix Computations, Sequence (biology)

Access URL: https://doaj.org/article/1d00742ef064475095746d8cf8ffd5a4

Approximate solutions of the $ 2 $D space-time fractional diffusion equation via a gradient-descent iterative algorithm with Grünwald-Letnikov approximation

Authors: Adisorn Kittisopaporn Pattrawut Chansangiam

Source: AIMS Mathematics, Vol 7, Iss 5, Pp 8471-8490 (2022)

Subject Terms: fractional derivatives, Economics, Conjugate gradient method, Mathematical analysis, Bounded function, Engineering, iterative method, Numerical Methods for Singularly Perturbed Problems, Numerical Integration Methods for Differential Equations, QA1-939, FOS: Mathematics, Genetics, Convection-Diffusion Problems, grünwald-letnikov approximation, Biology, gradient descent, Anomalous Diffusion Modeling and Analysis, Economic growth, fractional diffusion equation, Numerical Analysis, Dirichlet boundary condition, Time-Fractional Diffusion Equation, 4. Education, Rate of convergence, Applied mathematics, Algorithm, Fractional Derivatives, Boundary (topology), Channel (broadcasting), Modeling and Simulation, FOS: Biological sciences, Electrical engineering, Physical Sciences, Convergence (economics), Finite Difference Schemes, Mathematics, Discretization, Sequence (biology)

Access URL: https://doaj.org/article/b29b1351e6c64ce392054fca0561eb93

Approximate solutions of the 2D space-time fractional diffusion equation via a gradient-descent iterative algorithm with Grünwald-Letnikov approximation

Authors: Adisorn Kittisopaporn Pattrawut Chansangiam

Source: AIMS Mathematics, Vol 7, Iss 5, Pp 8471-8490 (2022)

Subject Terms: fractional derivatives, fractional diffusion equation, grünwald-letnikov approximation, gradient descent, iterative method, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/b29b1351e6c64ce392054fca0561eb93

Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm

Authors: Adisorn Kittisopaporn Pattrawut Chansangiam

Source: Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)

Subject Terms: 0209 industrial biotechnology, Economics, Matrix (chemical analysis), 02 engineering and technology, Estimator, Engineering, Differential equation, 0202 electrical engineering, electronic engineering, information engineering, Eigenvalues and eigenvectors, Numerical Analysis, Numerical Optimization Techniques, Recursive Algorithms, Physics, Mathematical optimization, Statistics, Iterative method, Algorithm, Computational Theory and Mathematics, Physical Sciences, Convergence (economics), Iterative Methods, Sum of Squares Techniques, Artificial neural network, Composite material, Convex Optimization, Mathematical analysis, Quantum mechanics, Machine learning, Generalized Sylvester-transpose matrix equation, Least-squares solution, QA1-939, FOS: Mathematics, Genetics, Transpose, Biology, Economic growth, Matrix Algorithms and Iterative Methods, Gradient descent, Applied mathematics, System Identification Techniques, Computer science, Materials science, Control and Systems Engineering, FOS: Biological sciences, Computer Science, Mathematics, Least-squares function approximation, Ordinary differential equation, Matrix Computations, Sequence (biology)

Access URL: https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-021-03427-4
https://doaj.org/article/c2a445bc1b4a46c2b20bb3ca5938e44b
https://link.springer.com/article/10.1186/s13662-021-03427-4
https://link.springer.com/content/pdf/10.1186/s13662-021-03427-4.pdf
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-021-03427-4

Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations

Authors: Adisorn Kittisopaporn Pattrawut Chansangiam

Source: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-24 (2020)

Subject Terms: Generalized Sylvester matrix equation, Gradient descent, Iterative method, Matrix norms and conditioning, Heat equation, Poisson’s equation, Mathematics, QA1-939

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13662-020-02785-9; https://doaj.org/toc/1687-1847

Access URL: https://doaj.org/article/4c974249bfba4f5891a268203cd06e0e

The Weighted Iterative Algorithms for State of Health Estimation Using Volterra Series Model: Least Squares Algorithm and Gradient Descent Algorithm

Authors: Yongqiang Zhu Jing Chen

Source: IEEE Access, Vol 13, Pp 77221-77227 (2025)

Subject Terms: Lithium batteries, state of health, weighted iterative algorithm, Volterra series model, outliers, Electrical engineering. Electronics. Nuclear engineering, TK1-9971

File Description: electronic resource

Relation: https://ieeexplore.ieee.org/document/10980317/; https://doaj.org/toc/2169-3536

Access URL: https://doaj.org/article/27cbfea7473440108e24787fd88b1bcf

A General Framework to Distribute Iterative Algorithms with Localized Information over Networks

Authors: Ohlson Timoudas, Thomas Zhang, Silun Magnusson, Sindri et al.

Source: IEEE Transactions on Automatic Control. 68(12):7358

Subject Terms: agents and autonomous systems, communication networks, Convergence, Distributed algorithms, Heuristic algorithms, Internet of Things, Iterative algorithms, Newton method, Optimization, optimization algorithms, Distributed computer systems, Heuristic methods, Learning systems, Newton-Raphson method, Number theory, Parallel algorithms, Agent and autonomous system, Centralised, Communications networks, Gradient-descent, Heuristics algorithm, Iterative algorithm, Newton's methods, Optimisations

File Description: print

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-65622
https://doi.org/10.1109/TAC.2023.3279901

A Hybrid Iterative Algorithm of Amplitude Weighting and Phase Gradient Descent for Generating Phase-Only Fourier Hologram.

Authors: Min Fan Jin Yang Chengtao Du et al.

Source: Traitement du Signal. Oct2022, Vol. 39 Issue 5, p1789-1796. 8p.

Subject Terms: *ALGORITHMS, IMAGE reconstruction algorithms, HOLOGRAPHY, IMAGE reconstruction

Improved stochastic gradient descent algorithm with mean-gradient adaptive stepsize for solving large-scale optimization problems

Authors: Zulkifli, Munierah Abd Rahmin, Nor Aliza Wah, June Leong

Index Terms: Article, PeerReviewed

URL: http://psasir.upm.edu.my/id/eprint/110372/1/document%20%284%29.pdf
http://psasir.upm.edu.my/id/eprint/110372/
https://myjms.mohe.gov.my/index.php/dismath/article/view/24687
http://psasir.upm.edu.my/id/eprint/110372
https://myjms.mohe.gov.my/index.php/dismath/article/view/24687

Gradient-descent iterative algorithm for solving exact and weighted least-squares solutions of rectangular linear systems.

Authors: Tansri, Kanjanaporn Chansangiam, Pattrawut

Source: AIMS Mathematics; 2023, Vol. 8 Issue 5, p11781-11798, 18p

Subject Terms: ALGORITHMS, MATHEMATICAL optimization, LINEAR systems

Randomized iterative methods for linear systems : momentum, inexactness and gossip

Authors: Loizou, Nicolas Richtarik, Peter Diakonikolas, Ilias et al.

Contributors: Loizou, Nicolas Richtarik, Peter Diakonikolas, Ilias et al.

Subject Terms: 519.6, optimization problems, complexity analysis, stochastic optimization algorithms, heavy ball momentum, stochastic gradient descent, stochastic Newton, stochastic proximal point, stochastic dual subspace ascent, convex quadratic problems, randomized Gaussian Kaczmarz, randomized gossip algorithms, Binary Oracle, Controlled Noise Insertion, e -Gap Oracle

Access URL: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.788282

Sign Gradient Descent Algorithms for Kinetostatic Protein Folding

Authors: Mohammadi, Alireza Janaideh, Mohammad Al

Index Terms: Electrical Engineering and Systems Science - Systems and Control, Mathematics - Optimization and Control, Quantitative Biology - Biomolecules, text

URL: http://arxiv.org/abs/2308.07453

Additional fractional gradient descent identification algorithm based on multi-innovation principle for autoregressive exogenous models.

Authors: Wang Z Liang S Chen B et al.

Source: Scientific reports [Sci Rep] 2024 Aug 27; Vol. 14 (1), pp. 19843. Date of Electronic Publication: 2024 Aug 27.

Publication Type: Journal Article

Journal Info: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: PubMed not MEDLINE; MEDLINE

Approximated least-squares solutions of a generalized Sylvester-transpose matrix equation via gradient-descent iterative algorithm.

Authors: Kittisopaporn, Adisorn Chansangiam, Pattrawut

Source: Advances in Difference Equations; 5/21/2021, Vol. 2021 Issue 1, p1-18, 18p

Subject Terms: SYLVESTER matrix equations, ALGORITHMS, EQUATIONS, MATRICES (Mathematics)

A Voronoi-based method for land-use optimization using semidefinite programming and gradient descent algorithm.

Authors: Suppakitpaisarn, Vorapong Ariyarit, Atthaphon Chaidee, Supanut

Source: International Journal of Geographical Information Science. May2021, Vol. 35 Issue 5, p999-1031. 33p.

Subject Terms: *Algorithms, *Genealogy, Voronoi polygons, Semidefinite programming, Evolutionary computation, Genetic algorithms

Company/Entity: Mahawitthayalai Chiang Mai

Adaptive Normal State-Space Notch Digital Filters Using Gradient-Descent Method.

Authors: Hinamoto, Yoichi Doi, Akimitsu Nishimura, Shotaro

Source: Circuits, Systems & Signal Processing. Jul2023, Vol. 42 Issue 7, p3983-4001. 19p.

Subject Terms: *NOTCH filters, *ALGORITHMS

Gradient Descent Efficiency Index

Authors: Dhingra, Aviral

Index Terms: Computer Science - Machine Learning, Computer Science - Artificial Intelligence, Mathematics - Optimization and Control, text

URL: http://arxiv.org/abs/2410.19448

Accelerated iterative identification of nonlinear systems based on the momentum approach.

Authors: Tian, Chenchen Ji, Yan

Source: ISA Transactions. Dec2025:Part B, Vol. 167, p1763-1773. 11p.

Subject Terms: Momentum (Mechanics), Nonlinear dynamical systems, Crystallization, Matrix decomposition, System identification, Computer simulation

Stochastic Gradient Descent for Nonparametric Regression

Authors: Chen, Xin Klusowski, Jason M.

Index Terms: Statistics - Machine Learning, Computer Science - Machine Learning, text

URL: http://arxiv.org/abs/2401.00691

Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations.

Authors: Kittisopaporn, Adisorn Chansangiam, Pattrawut

Source: Advances in Difference Equations; 7/1/2020, Vol. 2020 Issue 1, p1-24, 24p

Subject Terms: HEAT equation, SYLVESTER matrix equations, LINEAR equations, POISSON'S equation, ALGORITHMS