{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T05:34:08Z","timestamp":1740116048837,"version":"3.37.3"},"reference-count":47,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"name":"Scientific Research Fund Project of the Yunnan Provincial Department of Education","award":["2024J1129"],"award-info":[{"award-number":["2024J1129"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2025]]},"DOI":"10.1109\/access.2025.3534257","type":"journal-article","created":{"date-parts":[[2025,1,27]],"date-time":"2025-01-27T18:55:41Z","timestamp":1738004141000},"page":"23472-23481","source":"Crossref","is-referenced-by-count":0,"title":["Unfixed Bias Iterator: A New Iterative Format"],"prefix":"10.1109","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7809-8608","authenticated-orcid":false,"given":"Zeqing","family":"Zhang","sequence":"first","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue","family":"Wang","sequence":"additional","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiamin","family":"Shen","sequence":"additional","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Man","family":"Zhang","sequence":"additional","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1293-8990","authenticated-orcid":false,"given":"Sen","family":"Yang","sequence":"additional","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-1001-7866","authenticated-orcid":false,"given":"Fanchang","family":"Yang","sequence":"additional","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Zhao","sequence":"additional","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jia","family":"Wang","sequence":"additional","affiliation":[{"name":"Faculty of Surveying and Information Engineering, West Yunnan University of Applied Sciences, Dali, Yunnan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"volume-title":"The Finite Difference Method in Partial Differential Equations","year":"1980","author":"Mitchell","key":"ref1"},{"key":"ref2","article-title":"PointNet: Deep learning on point sets for 3D classification and segmentation","volume-title":"arXiv:1612.00593","author":"Qi","year":"2016"},{"key":"ref3","article-title":"Deep residual learning for image recognition","volume-title":"arXiv:1512.03385","author":"He","year":"2015"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.31142\/ijtsrd23422"},{"key":"ref5","article-title":"Deep neural networks algorithms for stochastic control problems on finite horizon: Numerical applications","volume-title":"arXiv:1812.05916","author":"Bachouch","year":"2018"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1137\/19m1297919"},{"key":"ref7","article-title":"Deep reinforcement learning for online control of stochastic partial differential equations","volume-title":"arXiv:2110.11265","author":"Pirmorad","year":"2021"},{"key":"ref8","article-title":"Learning algebraic multigrid using graph neural networks","volume-title":"arXiv:2003.05744","author":"Luz","year":"2020"},{"key":"ref9","article-title":"A unified deep artificial neural network approach to partial differential equations in complex geometries","volume-title":"arXiv:1711.06464","author":"Berg","year":"2017"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-019-00908-3"},{"key":"ref11","article-title":"Overcoming the curse of dimensionality: Solving high-dimensional partial differential equations using deep learning","volume-title":"arXiv:1707.02568","author":"Han","year":"2017"},{"key":"ref12","article-title":"Some machine learning schemes for high-dimensional nonlinear PDEs","volume-title":"arXiv:1902.01599","author":"Hur\u00e9","year":"2019"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s42985-019-0006-9"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(03)00083-2"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s40687-018-0160-2"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/72.712178"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/72.870037"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109710"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-019-03944-1"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109339"},{"key":"ref21","article-title":"Solving partial differential equations with point source based on physics-informed neural networks","volume-title":"arXiv:2111.01394","author":"Huang","year":"2021"},{"key":"ref22","article-title":"Physics-informed neural operator for learning partial differential equations","volume-title":"arXiv:2111.03794","author":"Li","year":"2021"},{"key":"ref23","article-title":"Meta-Auto-Decoder for solving parametric partial differential equations","volume-title":"arXiv:2111.08823","author":"Huang","year":"2021"},{"key":"ref24","article-title":"Hierarchical learning to solve partial differential equations using physics-informed neural networks","volume-title":"arXiv:2112.01254.3","author":"Han","year":"2021"},{"key":"ref25","article-title":"Quantized convolutional neural networks through the lens of partial differential equations","volume-title":"arXiv:2109.00095","author":"Ben-Yair","year":"2021"},{"key":"ref26","article-title":"Learning to solve differential equations across initial conditions","volume-title":"arXiv:2003.12159","author":"Malik","year":"2020"},{"key":"ref27","article-title":"FiniteNet: A fully convolutional LSTM network architecture for time-dependent partial differential equations","volume-title":"arXiv:2002.03014","author":"Stevens","year":"2020"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109338"},{"key":"ref29","article-title":"A discussion on solving partial differential equations using neural networks","volume-title":"arXiv:1904.07200","author":"Dockhorn","year":"2019"},{"key":"ref30","article-title":"Implicit neural solver for time-dependent linear PDEs with convergence guarantee","volume-title":"arXiv:1910.03452","author":"Shit","year":"2019"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-019-9547-2"},{"key":"ref32","first-page":"2415","article-title":"Learning to optimize multigrid PDE solvers","volume-title":"Proc. ICML","volume":"97","author":"Greenfeld"},{"key":"ref33","article-title":"Optimization-based algebraic multigrid coarsening using reinforcement learning","volume-title":"arXiv:2106.01854","author":"Taghibakhshi","year":"2021"},{"key":"ref34","first-page":"1","article-title":"Learning neural PDE solvers with convergence guarantees","volume-title":"Proc. ICLR","author":"Hsieh"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.2307\/2002770"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1515\/jnma-2014-0010"},{"key":"ref37","volume-title":"Multigrid Methods V: Proceedings of the Fifth European Multigrid Conference Held in Stuttgart, Germany, October 1\u20134, 1996","volume":"3","author":"Hackbusch","year":"1996"},{"key":"ref38","article-title":"An overview of gradient descent optimization algorithms","volume-title":"arXiv:1609.04747","author":"Ruder","year":"2016"},{"key":"ref39","article-title":"LSTM: A search space Odyssey","volume-title":"arXiv:1503.04069","author":"Greff","year":"2015"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/cvpr.2019.00025"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2008.2005605"},{"key":"ref42","article-title":"Attention, please! A survey of neural attention models in deep learning","volume-title":"arXiv:2103.16775","author":"de Santana Correia","year":"2021"},{"key":"ref43","article-title":"Bidirectional conditional generative adversarial networks","volume-title":"arXiv:1711.07461","author":"Jaiswal","year":"2017"},{"key":"ref44","article-title":"Deep learning the physics of transport phenomena","volume-title":"arXiv:1709.02432","author":"Farimani","year":"2017"},{"issue":"4","key":"ref45","first-page":"1096","article-title":"A review on introduction to reinforcement learning","volume":"5","author":"Puranik","year":"2021","journal-title":"Int. J. Trend Sci. Res. Develop."},{"key":"ref46","article-title":"Weakly-supervised deep learning of heat transport via physics informed loss","volume-title":"arXiv:1807.11374","author":"Sharma","year":"2018"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-24574-4_28"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/6287639\/10820123\/10854465.pdf?arnumber=10854465","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,20]],"date-time":"2025-02-20T20:37:49Z","timestamp":1740083869000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10854465\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":47,"URL":"https:\/\/doi.org\/10.1109\/access.2025.3534257","relation":{},"ISSN":["2169-3536"],"issn-type":[{"type":"electronic","value":"2169-3536"}],"subject":[],"published":{"date-parts":[[2025]]}}}