Grohs, Philipp; Voigtlaender, Felix Proof of the theory-to-practice gap in deep learning via sampling complexity bounds for neural network approximation spaces. (English) Zbl 07900824 Found. Comput. Math. 24, No. 4, 1085-1143 (2024). MSC: 68T07 41A46 41A65 PDFBibTeX XMLCite \textit{P. Grohs} and \textit{F. Voigtlaender}, Found. Comput. Math. 24, No. 4, 1085--1143 (2024; Zbl 07900824) Full Text: DOI arXiv OA License
Thiruthummal, Abhiram Anand; Shelyag, Sergiy; Kim, Eun-jin Extremization to fine tune physics informed neural networks for solving boundary value problems. (English) Zbl 07900553 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108129, 29 p. (2024). MSC: 68Txx 65Lxx 90Cxx PDFBibTeX XMLCite \textit{A. A. Thiruthummal} et al., Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108129, 29 p. (2024; Zbl 07900553) Full Text: DOI arXiv
Duan, Chenguang; Huang, Junjun; Jiao, Yuling; Lu, Xiliang; Yang, Jerry Zhijian Current density impedance imaging with PINNs. (English) Zbl 07900329 J. Comput. Appl. Math. 452, Article ID 116120, 22 p. (2024). MSC: 68Txx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{C. Duan} et al., J. Comput. Appl. Math. 452, Article ID 116120, 22 p. (2024; Zbl 07900329) Full Text: DOI arXiv
Vu, Duc Thach Son; Ren, Weiqing A deep learning approach for solving the stationary compositional two-phase equilibrium problems. (English) Zbl 07899887 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 107883, 20 p. (2024). MSC: 76T99 80M25 90C51 92B20 PDFBibTeX XMLCite \textit{D. T. S. Vu} and \textit{W. Ren}, Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 107883, 20 p. (2024; Zbl 07899887) Full Text: DOI
Cai, Zhiqiang; Choi, Junpyo; Liu, Min Least-squares neural network (LSNN) method for linear advection-reaction equation: discontinuity interface. (English) Zbl 07899177 SIAM J. Sci. Comput. 46, No. 4, C448-C478 (2024). MSC: 65N99 65K10 65N15 68T07 68Q32 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Sci. Comput. 46, No. 4, C448--C478 (2024; Zbl 07899177) Full Text: DOI arXiv
Lichter, Jens; Wiemann, Paul F. V.; Kneib, Thomas Variational inference: uncertainty quantification in additive models. (English) Zbl 07898503 AStA, Adv. Stat. Anal. 108, No. 2, 279-331 (2024). MSC: 62-XX PDFBibTeX XMLCite \textit{J. Lichter} et al., AStA, Adv. Stat. Anal. 108, No. 2, 279--331 (2024; Zbl 07898503) Full Text: DOI OA License
Li, Changshi; Jiao, Yuling; Yang, Jerry Zhijian An error analysis for deep binary classification with sigmoid loss. (English) Zbl 07897606 Inf. Sci. 681, Article ID 121166, 20 p. (2024). MSC: 91-XX 68-XX PDFBibTeX XMLCite \textit{C. Li} et al., Inf. Sci. 681, Article ID 121166, 20 p. (2024; Zbl 07897606) Full Text: DOI
Wang, Shupeng; Karniadakis, George Em GMC-PINNs: a new general Monte Carlo PINNs method for solving fractional partial differential equations on irregular domains. (English) Zbl 07897594 Comput. Methods Appl. Mech. Eng. 429, Article ID 117189, 13 p. (2024). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{S. Wang} and \textit{G. E. Karniadakis}, Comput. Methods Appl. Mech. Eng. 429, Article ID 117189, 13 p. (2024; Zbl 07897594) Full Text: DOI arXiv
Shi, Yan; Chai, Rui; Beer, Michael Novel gradient-enhanced Bayesian neural networks for uncertainty propagation. (English) Zbl 07897593 Comput. Methods Appl. Mech. Eng. 429, Article ID 117188, 26 p. (2024). MSC: 92-XX 68-XX PDFBibTeX XMLCite \textit{Y. Shi} et al., Comput. Methods Appl. Mech. Eng. 429, Article ID 117188, 26 p. (2024; Zbl 07897593) Full Text: DOI
Jang, Deok-Kyu; Kim, Kyungsoo; Kim, Hyea Hyun Partitioned neural network approximation for partial differential equations enhanced with Lagrange multipliers and localized loss functions. (English) Zbl 07897584 Comput. Methods Appl. Mech. Eng. 429, Article ID 117168, 19 p. (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{D.-K. Jang} et al., Comput. Methods Appl. Mech. Eng. 429, Article ID 117168, 19 p. (2024; Zbl 07897584) Full Text: DOI arXiv
Bai, Jinshuai; Liu, Gui-Rong; Rabczuk, Timon; Wang, Yizheng; Feng, Xi-Qiao; Gu, YuanTong A robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for nonlinear solid mechanics. (English) Zbl 07897576 Comput. Methods Appl. Mech. Eng. 429, Article ID 117159, 23 p. (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{J. Bai} et al., Comput. Methods Appl. Mech. Eng. 429, Article ID 117159, 23 p. (2024; Zbl 07897576) Full Text: DOI
Sarma, Antareep Kumar; Roy, Sumanta; Annavarapu, Chandrasekhar; Roy, Pratanu; Jagannathan, Shriram Interface PINNs (I-PINNs): a physics-informed neural networks framework for interface problems. (English) Zbl 07897554 Comput. Methods Appl. Mech. Eng. 429, Article ID 117135, 30 p. (2024). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{A. K. Sarma} et al., Comput. Methods Appl. Mech. Eng. 429, Article ID 117135, 30 p. (2024; Zbl 07897554) Full Text: DOI
He, Junyan; Koric, Seid; Abueidda, Diab; Najafi, Ali; Jasiuk, Iwona Geom-DeepONet: a point-cloud-based deep operator network for field predictions on 3D parameterized geometries. (English) Zbl 07897549 Comput. Methods Appl. Mech. Eng. 429, Article ID 117130, 19 p. (2024). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{J. He} et al., Comput. Methods Appl. Mech. Eng. 429, Article ID 117130, 19 p. (2024; Zbl 07897549) Full Text: DOI arXiv
Abueidda, Diab W.; Mobasher, Mostafa E. Variational temporal convolutional networks for I-FENN thermoelasticity. (English) Zbl 07897547 Comput. Methods Appl. Mech. Eng. 429, Article ID 117122, 30 p. (2024). MSC: 74-XX 68-XX PDFBibTeX XMLCite \textit{D. W. Abueidda} and \textit{M. E. Mobasher}, Comput. Methods Appl. Mech. Eng. 429, Article ID 117122, 30 p. (2024; Zbl 07897547) Full Text: DOI
Wu, Jiaxin; Luo, Min; Xiao, Dunhui; Pain, Christopher C.; Khoo, Boo Cheong Koopman dynamic-oriented deep learning for invariant subspace identification and full-state prediction of complex systems. (English) Zbl 07897534 Comput. Methods Appl. Mech. Eng. 429, Article ID 117071, 18 p. (2024). MSC: 37-XX 93-XX PDFBibTeX XMLCite \textit{J. Wu} et al., Comput. Methods Appl. Mech. Eng. 429, Article ID 117071, 18 p. (2024; Zbl 07897534) Full Text: DOI
Zheng, Dihan; Tang, Shiqi; Wagner, Roland; Ramlau, Ronny; Bao, Chenglong; Chan, Raymond H. PhaseNet: a deep learning based phase reconstruction method for ground-based astronomy. (English) Zbl 07896981 SIAM J. Imaging Sci. 17, No. 3, 1511-1538 (2024). MSC: 85-08 68U10 68T07 PDFBibTeX XMLCite \textit{D. Zheng} et al., SIAM J. Imaging Sci. 17, No. 3, 1511--1538 (2024; Zbl 07896981) Full Text: DOI
Beintema, Gerben I.; Schoukens, Maarten; Tóth, Roland Meta-state-space learning: an identification approach for stochastic dynamical systems. (English) Zbl 07894848 Automatica 167, Article ID 111787, 7 p. (2024). MSC: 93-XX PDFBibTeX XMLCite \textit{G. I. Beintema} et al., Automatica 167, Article ID 111787, 7 p. (2024; Zbl 07894848) Full Text: DOI arXiv
Nogueira, Xesús; Fernández-Fidalgo, Javier; Ramos, Lucía; Couceiro, Iván; Ramírez, Luis Machine learning-based WENO5 scheme. (English) Zbl 07894773 Comput. Math. Appl. 168, 84-99 (2024). MSC: 68-XX 76-XX PDFBibTeX XMLCite \textit{X. Nogueira} et al., Comput. Math. Appl. 168, 84--99 (2024; Zbl 07894773) Full Text: DOI
Zhang, Zixuan; Dong, Yidao; Zou, Yuanyang; Zhang, Hao; Deng, Xiaogang A data-driven scale-invariant weighted compact nonlinear scheme for hyperbolic conservation laws. (English) Zbl 07893894 Commun. Comput. Phys. 35, No. 4, 1120-1154 (2024). MSC: 68T07 35L65 76M99 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Commun. Comput. Phys. 35, No. 4, 1120--1154 (2024; Zbl 07893894) Full Text: DOI
Xie, Guizhong; Fu, Beibei; Li, Hao; Du, Wenliao; Zhong, Yudong; Wang, Liangwen; Geng, Hongrui; Zhang, Ji; Si, Liang A gradient-enhanced physics-informed neural networks method for the wave equation. (English) Zbl 07892936 Eng. Anal. Bound. Elem. 166, Article ID 105802, 16 p. (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{G. Xie} et al., Eng. Anal. Bound. Elem. 166, Article ID 105802, 16 p. (2024; Zbl 07892936) Full Text: DOI
Beckmann, Matthias; Heilenkötter, Nick Equivariant neural networks for indirect measurements. (English) Zbl 07892806 SIAM J. Math. Data Sci. 6, No. 3, 579-601 (2024). MSC: 47B38 65J22 94A05 PDFBibTeX XMLCite \textit{M. Beckmann} and \textit{N. Heilenkötter}, SIAM J. Math. Data Sci. 6, No. 3, 579--601 (2024; Zbl 07892806) Full Text: DOI arXiv
Xiao, Jichang; Fu, Fengjiang; Wang, Xiaoqun Deep learning based on randomized quasi-Monte Carlo method for solving linear Kolmogorov partial differential equation. (English) Zbl 07890919 J. Comput. Appl. Math. 451, Article ID 116088, 19 p. (2024). MSC: 65Cxx 68Txx 65Dxx PDFBibTeX XMLCite \textit{J. Xiao} et al., J. Comput. Appl. Math. 451, Article ID 116088, 19 p. (2024; Zbl 07890919) Full Text: DOI arXiv
Lemaire, Vincent; Pagès, Gilles; Yeo, Christian Swing contract pricing: with and without neural networks. (English) Zbl 07889735 Front. Math. Finance 3, No. 2, 270-303 (2024). MSC: 49M25 93E20 93E35 PDFBibTeX XMLCite \textit{V. Lemaire} et al., Front. Math. Finance 3, No. 2, 270--303 (2024; Zbl 07889735) Full Text: DOI arXiv
Giunchiglia, Eleonora; Tatomir, Alex; Stoian, Mihaela Cătălina; Lukasiewicz, Thomas \(\mathrm{CCN}^+\): a neuro-symbolic framework for deep learning with requirements. (English) Zbl 07885915 Int. J. Approx. Reasoning 171, Article ID 109124, 27 p. (2024). MSC: 68T37 PDFBibTeX XMLCite \textit{E. Giunchiglia} et al., Int. J. Approx. Reasoning 171, Article ID 109124, 27 p. (2024; Zbl 07885915) Full Text: DOI
Wu, Zhetong; Zhang, Hanbo; Ye, Hongfei; Zhang, Hongwu; Zheng, Yonggang; Guo, Xu PINN enhanced extended multiscale finite element method for fast mechanical analysis of heterogeneous materials. (English) Zbl 07884736 Acta Mech. 235, No. 7, 4895-4913 (2024). MSC: 74S05 74E05 74K10 68T07 68T05 PDFBibTeX XMLCite \textit{Z. Wu} et al., Acta Mech. 235, No. 7, 4895--4913 (2024; Zbl 07884736) Full Text: DOI
Cai, Yongqiang; Li, Qianxiao; Shen, Zuowei Optimization in machine learning: a distribution-space approach. (English) Zbl 07883801 Commun. Appl. Math. Comput. 6, No. 2, 1217-1240 (2024). MSC: 41A30 68U01 68W25 PDFBibTeX XMLCite \textit{Y. Cai} et al., Commun. Appl. Math. Comput. 6, No. 2, 1217--1240 (2024; Zbl 07883801) Full Text: DOI arXiv
Heaton, Howard; Fung, Samy Wu; Osher, Stanley Global solutions to nonconvex problems by evolution of Hamilton-Jacobi PDEs. (English) Zbl 07883786 Commun. Appl. Math. Comput. 6, No. 2, 790-810 (2024). MSC: 65K10 65M99 90C30 PDFBibTeX XMLCite \textit{H. Heaton} et al., Commun. Appl. Math. Comput. 6, No. 2, 790--810 (2024; Zbl 07883786) Full Text: DOI arXiv
Jin, Billy; Scheinberg, Katya; Xie, Miaolan High probability complexity bounds for adaptive step search based on stochastic oracles. (English) Zbl 07881527 SIAM J. Optim. 34, No. 3, 2411-2439 (2024). MSC: 90C15 90C30 90C26 PDFBibTeX XMLCite \textit{B. Jin} et al., SIAM J. Optim. 34, No. 3, 2411--2439 (2024; Zbl 07881527) Full Text: DOI arXiv
Pascal, Julien Artificial neural networks to solve dynamic programming problems: a bias-corrected Monte Carlo operator. (English) Zbl 07881209 J. Econ. Dyn. Control 162, Article ID 104853, 29 p. (2024). MSC: 91-XX PDFBibTeX XMLCite \textit{J. Pascal}, J. Econ. Dyn. Control 162, Article ID 104853, 29 p. (2024; Zbl 07881209) Full Text: DOI
Ha, Seung-Yeal; Hwang, Gyuyoung; Kim, Sungyoon Time-discrete momentum consensus-based optimization algorithm and its application to Lyapunov function approximation. (English) Zbl 07880942 Math. Models Methods Appl. Sci. 34, No. 6, 1153-1204 (2024). MSC: 65K10 39A60 90C26 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 34, No. 6, 1153--1204 (2024; Zbl 07880942) Full Text: DOI
Zhu, Aiqing; Li, Qianxiao DynGMA: a robust approach for learning stochastic differential equations from data. (English) Zbl 07880871 J. Comput. Phys. 513, Article ID 113200, 21 p. (2024). MSC: 62Mxx 60Hxx 37Nxx PDFBibTeX XMLCite \textit{A. Zhu} and \textit{Q. Li}, J. Comput. Phys. 513, Article ID 113200, 21 p. (2024; Zbl 07880871) Full Text: DOI arXiv
Ouyang, Chen; Lu, Chenkaixiang; Zhao, Xiong; Huang, Ruping; Yuan, Gonglin; Jiang, Yiyan Stochastic three-term conjugate gradient method with variance technique for non-convex learning. (English) Zbl 07879270 Stat. Comput. 34, No. 3, Paper No. 107, 13 p. (2024). MSC: 62-08 65K05 90C26 90C52 PDFBibTeX XMLCite \textit{C. Ouyang} et al., Stat. Comput. 34, No. 3, Paper No. 107, 13 p. (2024; Zbl 07879270) Full Text: DOI
Afkham, Babak Maboudi; Chung, Julianne; Chung, Matthias Uncertainty quantification for goal-oriented inverse problems via variational encoder-decoder networks. (English) Zbl 07878742 Inverse Probl. 40, No. 7, Article ID 075010, 27 p. (2024). MSC: 62Fxx 65Jxx 65Cxx PDFBibTeX XMLCite \textit{B. M. Afkham} et al., Inverse Probl. 40, No. 7, Article ID 075010, 27 p. (2024; Zbl 07878742) Full Text: DOI arXiv OA License
Hao, Wenrui; Hong, Qingguo; Jin, Xianlin Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons. (English) Zbl 07878715 J. Sci. Comput. 100, No. 1, Paper No. 17, 28 p. (2024). MSC: 65N99 65K10 65H10 65N12 68Q32 68T07 35A15 41A58 65F20 15A18 65C05 35J15 35R09 35R02 PDFBibTeX XMLCite \textit{W. Hao} et al., J. Sci. Comput. 100, No. 1, Paper No. 17, 28 p. (2024; Zbl 07878715) Full Text: DOI arXiv
Pratama, Danang A.; Bakar, Maharani A.; Roslan, Ummu Atiqah Mohd; Surono, Sugiyarto; Salhi, A. Numerical solutions of sea turtle population dynamics model by using restarting strategy of PINN-Adam. (English) Zbl 07878059 Results Appl. Math. 22, Article ID 100457, 32 p. (2024). MSC: 68Txx 34Cxx 65Mxx PDFBibTeX XMLCite \textit{D. A. Pratama} et al., Results Appl. Math. 22, Article ID 100457, 32 p. (2024; Zbl 07878059) Full Text: DOI
Qiu, Yixuan; Wang, Xiao Efficient multimodal sampling via tempered distribution flow. (English) Zbl 07877173 J. Am. Stat. Assoc. 119, No. 546, 1446-1460 (2024). MSC: 62-XX PDFBibTeX XMLCite \textit{Y. Qiu} and \textit{X. Wang}, J. Am. Stat. Assoc. 119, No. 546, 1446--1460 (2024; Zbl 07877173) Full Text: DOI arXiv
Li, Chunlin; Shen, Xiaotong; Pan, Wei Nonlinear causal discovery with confounders. (English) Zbl 07877153 J. Am. Stat. Assoc. 119, No. 546, 1205-1214 (2024). MSC: 62-XX PDFBibTeX XMLCite \textit{C. Li} et al., J. Am. Stat. Assoc. 119, No. 546, 1205--1214 (2024; Zbl 07877153) Full Text: DOI arXiv
Joseph, Sobin; Jain, Shashi A neural network based model for multi-dimensional non-linear Hawkes processes. (English) Zbl 1540.60089 J. Comput. Appl. Math. 447, Article ID 115889, 23 p. (2024). MSC: 60G55 62G07 62P05 PDFBibTeX XMLCite \textit{S. Joseph} and \textit{S. Jain}, J. Comput. Appl. Math. 447, Article ID 115889, 23 p. (2024; Zbl 1540.60089) Full Text: DOI arXiv
Dyer, Joel; Cannon, Patrick; Farmer, J. Doyne; Schmon, Sebastian M. Black-box Bayesian inference for agent-based models. (English) Zbl 07875979 J. Econ. Dyn. Control 161, Article ID 104827, 36 p. (2024). MSC: 91-XX PDFBibTeX XMLCite \textit{J. Dyer} et al., J. Econ. Dyn. Control 161, Article ID 104827, 36 p. (2024; Zbl 07875979) Full Text: DOI arXiv
Pang, Zhentao; Liu, Kai; Xiao, Hualin; Jin, Tai; Luo, Kun; Fan, Jianren A deep-learning super-resolution reconstruction model of turbulent reacting flow. (English) Zbl 07875894 Comput. Fluids 275, Article ID 106249, 15 p. (2024). MSC: 76-XX PDFBibTeX XMLCite \textit{Z. Pang} et al., Comput. Fluids 275, Article ID 106249, 15 p. (2024; Zbl 07875894) Full Text: DOI
Bolte, Jérôme; Pauwels, Edouard; Ríos-Zertuche, Rodolfo Long term dynamics of the subgradient method for Lipschitz path differentiable functions. (English) Zbl 07875317 J. Eur. Math. Soc. (JEMS) 26, No. 7, 2533-2563 (2024). MSC: 65K10 90C25 49J52 PDFBibTeX XMLCite \textit{J. Bolte} et al., J. Eur. Math. Soc. (JEMS) 26, No. 7, 2533--2563 (2024; Zbl 07875317) Full Text: DOI arXiv OA License
Baek, Jonghyuk; Wang, Yanran; Chen, Jiun-Shyan N-adaptive Ritz method: a neural network enriched partition of unity for boundary value problems. (English) Zbl 07875014 Comput. Methods Appl. Mech. Eng. 428, Article ID 117070, 41 p. (2024). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{J. Baek} et al., Comput. Methods Appl. Mech. Eng. 428, Article ID 117070, 41 p. (2024; Zbl 07875014) Full Text: DOI arXiv
Liang, Hong; Chen, Zhiping; Jing, Kaili Actor-critic reinforcement learning algorithms for mean field games in continuous time, state and action spaces. (English) Zbl 07873824 Appl. Math. Optim. 89, No. 3, Paper No. 72, 35 p. (2024). MSC: 91A16 60H30 PDFBibTeX XMLCite \textit{H. Liang} et al., Appl. Math. Optim. 89, No. 3, Paper No. 72, 35 p. (2024; Zbl 07873824) Full Text: DOI
Tang, Shu; He, Jiabin; Yang, Shuli; Gong, Xu; Qin, Hongxing M-NeuS: volume rendering based surface reconstruction and material estimation. (English) Zbl 07873110 Comput. Aided Geom. Des. 111, Article ID 102328, 17 p. (2024). MSC: 65Dxx PDFBibTeX XMLCite \textit{S. Tang} et al., Comput. Aided Geom. Des. 111, Article ID 102328, 17 p. (2024; Zbl 07873110) Full Text: DOI
Min, Wenjie; Wu, Wenming; Zhang, Gaofeng; Zheng, Liping FuncScene: function-centric indoor scene synthesis via a variational autoencoder framework. (English) Zbl 07873101 Comput. Aided Geom. Des. 111, Article ID 102319, 16 p. (2024). MSC: 65Dxx PDFBibTeX XMLCite \textit{W. Min} et al., Comput. Aided Geom. Des. 111, Article ID 102319, 16 p. (2024; Zbl 07873101) Full Text: DOI
Li, Shuaiyu; Wu, Yunpei; Cheng, Yuzhong Parameter estimation and random number generation for student Lévy processes. (English) Zbl 07870707 Comput. Stat. Data Anal. 194, Article ID 107933, 17 p. (2024). MSC: 62-08 PDFBibTeX XMLCite \textit{S. Li} et al., Comput. Stat. Data Anal. 194, Article ID 107933, 17 p. (2024; Zbl 07870707) Full Text: DOI
Hao, Kairui; Bilionis, Ilias An information field theory approach to Bayesian state and parameter estimation in dynamical systems. (English) Zbl 07870136 J. Comput. Phys. 512, Article ID 113139, 24 p. (2024). MSC: 68Txx 65Cxx 62Fxx PDFBibTeX XMLCite \textit{K. Hao} and \textit{I. Bilionis}, J. Comput. Phys. 512, Article ID 113139, 24 p. (2024; Zbl 07870136) Full Text: DOI arXiv
Karumuri, Sharmila; Bilionis, Ilias Learning to solve Bayesian inverse problems: an amortized variational inference approach using Gaussian and flow guides. (English) Zbl 07870116 J. Comput. Phys. 511, Article ID 113117, 33 p. (2024). MSC: 62Fxx 65Cxx 68Txx PDFBibTeX XMLCite \textit{S. Karumuri} and \textit{I. Bilionis}, J. Comput. Phys. 511, Article ID 113117, 33 p. (2024; Zbl 07870116) Full Text: DOI arXiv
Morand, Victor; Müller, Nils; Weightman, Ryan; Piccoli, Benedetto; Keimer, Alexander; Bayen, Alexandre M. Deep learning of first-order nonlinear hyperbolic conservation law solvers. (English) Zbl 07870114 J. Comput. Phys. 511, Article ID 113114, 27 p. (2024). MSC: 65Mxx 35Lxx 68Txx PDFBibTeX XMLCite \textit{V. Morand} et al., J. Comput. Phys. 511, Article ID 113114, 27 p. (2024; Zbl 07870114) Full Text: DOI
Fang, Rui; Tsai, Richard Stabilization of parareal algorithms for long-time computation of a class of highly oscillatory Hamiltonian flows using data. (English) Zbl 07869111 Numer. Algorithms 96, No. 3, 1163-1187 (2024). MSC: 65-XX PDFBibTeX XMLCite \textit{R. Fang} and \textit{R. Tsai}, Numer. Algorithms 96, No. 3, 1163--1187 (2024; Zbl 07869111) Full Text: DOI arXiv
Liang, Senwei; Lyu, Liyao; Wang, Chunmei; Yang, Haizhao Reproducing activation function for deep learning. (English) Zbl 07868347 Commun. Math. Sci. 22, No. 2, 285-314 (2024). MSC: 68Txx PDFBibTeX XMLCite \textit{S. Liang} et al., Commun. Math. Sci. 22, No. 2, 285--314 (2024; Zbl 07868347) Full Text: DOI arXiv
Kabasi, Sounak; Marbaniang, Allan L.; Ghosh, Siddhartha Gradient enhanced physics-informed neural network for iterative form-finding of tensile membrane structures by potential energy minimization. (English) Zbl 07867753 Eur. J. Mech., A, Solids 106, Article ID 105332, 22 p. (2024). MSC: 74-XX PDFBibTeX XMLCite \textit{S. Kabasi} et al., Eur. J. Mech., A, Solids 106, Article ID 105332, 22 p. (2024; Zbl 07867753) Full Text: DOI
Motiwale, Shruti; Zhang, Wenbo; Feldmeier, Reese; Sacks, Michael S. A neural network finite element approach for high speed cardiac mechanics simulations. (English) Zbl 07867444 Comput. Methods Appl. Mech. Eng. 427, Article ID 117060, 18 p. (2024). MSC: 92-XX 74-XX PDFBibTeX XMLCite \textit{S. Motiwale} et al., Comput. Methods Appl. Mech. Eng. 427, Article ID 117060, 18 p. (2024; Zbl 07867444) Full Text: DOI
Zhang, Rui; Warn, Gordon P.; Radlińska, Aleksandra Physics-informed parallel neural networks with self-adaptive loss weighting for the identification of continuous structural systems. (English) Zbl 07867433 Comput. Methods Appl. Mech. Eng. 427, Article ID 117042, 23 p. (2024). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{R. Zhang} et al., Comput. Methods Appl. Mech. Eng. 427, Article ID 117042, 23 p. (2024; Zbl 07867433) Full Text: DOI
Cardoso Coelho, R. P.; Alves, A. Francisca Carvalho; Andrade Pires, F. M. Efficient constitutive parameter identification through optimisation-based techniques: a comparative analysis and novel composite Bayesian optimisation strategy. (English) Zbl 07867430 Comput. Methods Appl. Mech. Eng. 427, Article ID 117039, 34 p. (2024). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{R. P. Cardoso Coelho} et al., Comput. Methods Appl. Mech. Eng. 427, Article ID 117039, 34 p. (2024; Zbl 07867430) Full Text: DOI
Taylor, Jamie M.; Bastidas, Manuela; Calo, Victor M.; Pardo, David Adaptive deep Fourier residual method via overlapping domain decomposition. (English) Zbl 07867403 Comput. Methods Appl. Mech. Eng. 427, Article ID 116997, 27 p. (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{J. M. Taylor} et al., Comput. Methods Appl. Mech. Eng. 427, Article ID 116997, 27 p. (2024; Zbl 07867403) Full Text: DOI arXiv
Kengne, William; Wade, Modou Deep learning for \(\psi\)-weakly dependent processes. (English) Zbl 07866558 J. Stat. Plann. Inference 232, Article ID 106163, 21 p. (2024). MSC: 62-XX PDFBibTeX XMLCite \textit{W. Kengne} and \textit{M. Wade}, J. Stat. Plann. Inference 232, Article ID 106163, 21 p. (2024; Zbl 07866558) Full Text: DOI arXiv
Mo, Site; Wang, Haoxin; Li, Bixiong; Fan, Songhai; Wu, Yuankai; Liu, Xianggen TimeSQL: improving multivariate time series forecasting with multi-scale patching and smooth quadratic loss. (English) Zbl 07864669 Inf. Sci. 671, Article ID 120652, 14 p. (2024). MSC: 62-XX 91-XX PDFBibTeX XMLCite \textit{S. Mo} et al., Inf. Sci. 671, Article ID 120652, 14 p. (2024; Zbl 07864669) Full Text: DOI arXiv
Li, Yichao; Wang, Wenshuo; Deng, Ke; Liu, Jun S. Differentiable particle filters with smoothly jittered resampling. (English) Zbl 07864347 Stat. Sin. 34, Spec. Iss., 1241-1262 (2024). MSC: 62-XX PDFBibTeX XMLCite \textit{Y. Li} et al., Stat. Sin. 34, 1241--1262 (2024; Zbl 07864347) Full Text: DOI
Li, Xi’an; Wu, Jinran; Tai, Xin; Xu, Jianhua; Wang, You-Gan Solving a class of multi-scale elliptic PDEs by Fourier-based mixed physics informed neural networks. (English) Zbl 07863634 J. Comput. Phys. 508, Article ID 113012, 23 p. (2024). MSC: 65Nxx 35Jxx 68Txx PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 508, Article ID 113012, 23 p. (2024; Zbl 07863634) Full Text: DOI arXiv
Ghosh, Souvik; Mons, Vincent; Sipp, Denis; Schmid, Peter J. A robust computational framework for variational data assimilation of mean flows with sparse measurements corrupted by strong outliers. (English) Zbl 07863630 J. Comput. Phys. 508, Article ID 113008, 28 p. (2024). MSC: 90Cxx 90-XX 76Fxx PDFBibTeX XMLCite \textit{S. Ghosh} et al., J. Comput. Phys. 508, Article ID 113008, 28 p. (2024; Zbl 07863630) Full Text: DOI
Agrawal, Atul; Koutsourelakis, Phaedon-Stelios A probabilistic, data-driven closure model for RANS simulations with aleatoric, model uncertainty. (English) Zbl 07863611 J. Comput. Phys. 508, Article ID 112982, 22 p. (2024). MSC: 76Fxx 76Mxx 76-XX PDFBibTeX XMLCite \textit{A. Agrawal} and \textit{P.-S. Koutsourelakis}, J. Comput. Phys. 508, Article ID 112982, 22 p. (2024; Zbl 07863611) Full Text: DOI arXiv
Abdukhakimov, F.; Xiang, C.; Kamzolov, D.; Takáč, M. Stochastic gradient descent with preconditioned Polyak step-size. (English) Zbl 07862396 Comput. Math. Math. Phys. 64, No. 4, 621-634 (2024). MSC: 68-XX 90-XX PDFBibTeX XMLCite \textit{F. Abdukhakimov} et al., Comput. Math. Math. Phys. 64, No. 4, 621--634 (2024; Zbl 07862396) Full Text: DOI arXiv
Modi, Aditya; Faradonbeh, Mohamad Kazem Shirani; Tewari, Ambuj; Michailidis, George Joint learning of linear time-invariant dynamical systems. (English) Zbl 07860005 Automatica 164, Article ID 111635, 13 p. (2024). MSC: 93B30 93C05 PDFBibTeX XMLCite \textit{A. Modi} et al., Automatica 164, Article ID 111635, 13 p. (2024; Zbl 07860005) Full Text: DOI arXiv
Fuhg, Jan Niklas; Jones, Reese Edward; Bouklas, Nikolaos Extreme sparsification of physics-augmented neural networks for interpretable model discovery in mechanics. (English) Zbl 1539.74544 Comput. Methods Appl. Mech. Eng. 426, Article ID 116973, 29 p. (2024). MSC: 74S99 68T05 PDFBibTeX XMLCite \textit{J. N. Fuhg} et al., Comput. Methods Appl. Mech. Eng. 426, Article ID 116973, 29 p. (2024; Zbl 1539.74544) Full Text: DOI arXiv
Yang, Jiaxin; Long, Qiang A modification of adaptive moment estimation (Adam) for machine learning. (English) Zbl 07859865 J. Ind. Manag. Optim. 20, No. 7, 2516-2540 (2024). MSC: 68T07 90C26 PDFBibTeX XMLCite \textit{J. Yang} and \textit{Q. Long}, J. Ind. Manag. Optim. 20, No. 7, 2516--2540 (2024; Zbl 07859865) Full Text: DOI
Li, Yongxin; Qi, Haobo; Wang, Hansheng A note about why deep learning is deep: a discontinuous approximation perspective. (English) Zbl 07858780 Stat 13, No. 1, Paper No. e654, 12 p. (2024). MSC: 62-XX PDFBibTeX XMLCite \textit{Y. Li} et al., Stat 13, No. 1, Paper No. e654, 12 p. (2024; Zbl 07858780) Full Text: DOI
Cuomo, Salvatore; De Rosa, Mariapia; Izzo, Stefano; Piccialli, Francesco; Pragliola, Monica Speckle noise removal via learned variational models. (English) Zbl 1540.94008 Appl. Numer. Math. 200, 162-178 (2024). MSC: 94A08 PDFBibTeX XMLCite \textit{S. Cuomo} et al., Appl. Numer. Math. 200, 162--178 (2024; Zbl 1540.94008) Full Text: DOI
Malmström, Magnus; Skog, Isaac; Axehill, Daniel; Gustafsson, Fredrik Uncertainty quantification in neural network classifiers – a local linear approach. (English) Zbl 07856248 Automatica 163, Article ID 111563, 8 p. (2024). MSC: 68Txx PDFBibTeX XMLCite \textit{M. Malmström} et al., Automatica 163, Article ID 111563, 8 p. (2024; Zbl 07856248) Full Text: DOI arXiv
Isaev, A.; Dobroserdova, T.; Danilov, A.; Simakov, S. Physically informed deep learning technique for estimating blood flow parameters in arterial bifurcations. (English) Zbl 1537.92035 Lobachevskii J. Math. 45, No. 1, 239-250 (2024). MSC: 92C35 68T07 PDFBibTeX XMLCite \textit{A. Isaev} et al., Lobachevskii J. Math. 45, No. 1, 239--250 (2024; Zbl 1537.92035) Full Text: DOI
Wu, Zheyu; Zen, Remmy; P. Casagrande, Heitor; Poletti, Dario; Bressan, Stéphane Supervised training of neural-network quantum states for the next-nearest neighbor Ising model. (English) Zbl 07853504 Comput. Phys. Commun. 300, Article ID 109169, 10 p. (2024). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{Z. Wu} et al., Comput. Phys. Commun. 300, Article ID 109169, 10 p. (2024; Zbl 07853504) Full Text: DOI arXiv
Jin, Bangti; Li, Xiyao; Quan, Qimeng; Zhou, Zhi Conductivity imaging from internal measurements with mixed least-squares deep neural networks. (English) Zbl 1537.65160 SIAM J. Imaging Sci. 17, No. 1, 147-187 (2024). MSC: 65N21 35R30 68T07 78A46 92C55 PDFBibTeX XMLCite \textit{B. Jin} et al., SIAM J. Imaging Sci. 17, No. 1, 147--187 (2024; Zbl 1537.65160) Full Text: DOI arXiv
Goujon, Alexis; Neumayer, Sebastian; Unser, Michael Learning weakly convex regularizers for convergent image-reconstruction algorithms. (English) Zbl 07851426 SIAM J. Imaging Sci. 17, No. 1, 91-115 (2024). MSC: 26B25 47A52 49N45 68U10 65D07 68T05 90C26 PDFBibTeX XMLCite \textit{A. Goujon} et al., SIAM J. Imaging Sci. 17, No. 1, 91--115 (2024; Zbl 07851426) Full Text: DOI arXiv
Jiang, Jie; Xu, Yuesheng Deep neural network solutions for oscillatory Fredholm integral equations. (English) Zbl 07848726 J. Integral Equations Appl. 36, No. 1, 23-55 (2024). MSC: 65R20 45B05 68T07 PDFBibTeX XMLCite \textit{J. Jiang} and \textit{Y. Xu}, J. Integral Equations Appl. 36, No. 1, 23--55 (2024; Zbl 07848726) Full Text: DOI arXiv Link
Le, Tam Nonsmooth nonconvex stochastic heavy ball. (English) Zbl 07846599 J. Optim. Theory Appl. 201, No. 2, 699-719 (2024). MSC: 68Q25 68W27 49J52 28B20 PDFBibTeX XMLCite \textit{T. Le}, J. Optim. Theory Appl. 201, No. 2, 699--719 (2024; Zbl 07846599) Full Text: DOI arXiv
Tung, Shih-Shuo; Chung, Ming-Yu; Ho, Jinn; Hwang, Wen-Liang Global convergence in learning fully-connected ReLU networks via un-rectifying based on the augmented Lagrangian approach. (English) Zbl 07846584 J. Sci. Comput. 99, No. 3, Paper No. 82, 46 p. (2024). MSC: 90C27 PDFBibTeX XMLCite \textit{S.-S. Tung} et al., J. Sci. Comput. 99, No. 3, Paper No. 82, 46 p. (2024; Zbl 07846584) Full Text: DOI
Gerbelot, Cédric; Troiani, Emanuele; Mignacco, Francesca; Krzakala, Florent; Zdeborová, Lenka Rigorous dynamical mean-field theory for stochastic gradient descent methods. (English) Zbl 07846460 SIAM J. Math. Data Sci. 6, No. 2, 400-427 (2024). MSC: 68Q25 68W99 60G99 62J99 PDFBibTeX XMLCite \textit{C. Gerbelot} et al., SIAM J. Math. Data Sci. 6, No. 2, 400--427 (2024; Zbl 07846460) Full Text: DOI arXiv
Brivio, Simone; Fresca, Stefania; Franco, Nicola Rares; Manzoni, Andrea Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition. (English) Zbl 07845578 Adv. Comput. Math. 50, No. 3, Paper No. 33, 46 p. (2024). MSC: 65M99 68T07 65M15 65M60 65M06 65N30 65H10 76D05 PDFBibTeX XMLCite \textit{S. Brivio} et al., Adv. Comput. Math. 50, No. 3, Paper No. 33, 46 p. (2024; Zbl 07845578) Full Text: DOI arXiv OA License
Liang, Senwei; Jiang, Shixiao W.; Harlim, John; Yang, Haizhao Solving PDEs on unknown manifolds with machine learning. (English) Zbl 07844330 Appl. Comput. Harmon. Anal. 71, Article ID 101652, 31 p. (2024). MSC: 65Mxx PDFBibTeX XMLCite \textit{S. Liang} et al., Appl. Comput. Harmon. Anal. 71, Article ID 101652, 31 p. (2024; Zbl 07844330) Full Text: DOI arXiv
Friedrich, Lucas; Maziero, Jonas Restricting to the chip architecture maintains the quantum neural network accuracy. (English) Zbl 07844081 Quantum Inf. Process. 23, No. 4, Paper No. 131, 18 p. (2024). MSC: 81P68 PDFBibTeX XMLCite \textit{L. Friedrich} and \textit{J. Maziero}, Quantum Inf. Process. 23, No. 4, Paper No. 131, 18 p. (2024; Zbl 07844081) Full Text: DOI arXiv
Stephany, Robert; Earls, Christopher Weak-PDE-LEARN: a weak form based approach to discovering PDEs from noisy, limited data. (English) Zbl 07843846 J. Comput. Phys. 506, Article ID 112950, 20 p. (2024). MSC: 35Qxx 68Txx 65Mxx PDFBibTeX XMLCite \textit{R. Stephany} and \textit{C. Earls}, J. Comput. Phys. 506, Article ID 112950, 20 p. (2024; Zbl 07843846) Full Text: DOI arXiv
Wang, Yifan; Xie, Hehu Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. (English) Zbl 07843831 J. Comput. Phys. 506, Article ID 112928, 17 p. (2024). MSC: 65Fxx 68Txx 65Mxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Xie}, J. Comput. Phys. 506, Article ID 112928, 17 p. (2024; Zbl 07843831) Full Text: DOI arXiv
Duersch, Jed A.; Catanach, Tommie A.; Das, Niladri Logical activation functions for training arbitrary probabilistic Boolean operations. (English) Zbl 07842973 Inf. Sci. 664, Article ID 120304, 16 p. (2024). MSC: 68-XX 03-XX PDFBibTeX XMLCite \textit{J. A. Duersch} et al., Inf. Sci. 664, Article ID 120304, 16 p. (2024; Zbl 07842973) Full Text: DOI
Ma, Ziqi; Mao, Zhiping; Shen, Jie Efficient and stable SAV-based methods for gradient flows arising from deep learning. (English) Zbl 07842887 J. Comput. Phys. 505, Article ID 112911, 17 p. (2024). MSC: 68Txx 65Mxx 35Kxx PDFBibTeX XMLCite \textit{Z. Ma} et al., J. Comput. Phys. 505, Article ID 112911, 17 p. (2024; Zbl 07842887) Full Text: DOI
Wang, Yongji; Lai, Ching-Yao Multi-stage neural networks: function approximator of machine precision. (English) Zbl 07842853 J. Comput. Phys. 504, Article ID 112865, 28 p. (2024). MSC: 68Txx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{C.-Y. Lai}, J. Comput. Phys. 504, Article ID 112865, 28 p. (2024; Zbl 07842853) Full Text: DOI arXiv
Benady, Antoine; Baranger, Emmanuel; Chamoin, Ludovic Unsupervised learning of history-dependent constitutive material laws with thermodynamically-consistent neural networks in the modified constitutive relation error framework. (English) Zbl 1539.74539 Comput. Methods Appl. Mech. Eng. 425, Article ID 116967, 24 p. (2024). MSC: 74S99 65K10 65N35 PDFBibTeX XMLCite \textit{A. Benady} et al., Comput. Methods Appl. Mech. Eng. 425, Article ID 116967, 24 p. (2024; Zbl 1539.74539) Full Text: DOI
Rojas, Sergio; Maczuga, Paweł; Muñoz-Matute, Judit; Pardo, David; Paszyński, Maciej Robust variational physics-informed neural networks. (English) Zbl 1539.65183 Comput. Methods Appl. Mech. Eng. 425, Article ID 116904, 18 p. (2024). MSC: 65N30 65N15 68T07 PDFBibTeX XMLCite \textit{S. Rojas} et al., Comput. Methods Appl. Mech. Eng. 425, Article ID 116904, 18 p. (2024; Zbl 1539.65183) Full Text: DOI arXiv
Jia, Yingqi; Liu, Ke; Zhang, Xiaojia Shelly Topology optimization of irregular multiscale structures with tunable responses using a virtual growth rule. (English) Zbl 1539.74302 Comput. Methods Appl. Mech. Eng. 425, Article ID 116864, 31 p. (2024). MSC: 74P15 PDFBibTeX XMLCite \textit{Y. Jia} et al., Comput. Methods Appl. Mech. Eng. 425, Article ID 116864, 31 p. (2024; Zbl 1539.74302) Full Text: DOI
Yuksel, G.; Lesnic, D. The identification of obstacles immersed in a steady incompressible viscous fluid. (English) Zbl 07841728 J. Eng. Math. 144, Paper No. 16, 17 p. (2024). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{G. Yuksel} and \textit{D. Lesnic}, J. Eng. Math. 144, Paper No. 16, 17 p. (2024; Zbl 07841728) Full Text: DOI
Zhang, Dinglei; Li, Ying; Ying, Shihui Trans-Net: a transferable pretrained neural networks based on temporal domain decomposition for solving partial differential equations. (English) Zbl 07839779 Comput. Phys. Commun. 299, Article ID 109130, 12 p. (2024). MSC: 65Mxx PDFBibTeX XMLCite \textit{D. Zhang} et al., Comput. Phys. Commun. 299, Article ID 109130, 12 p. (2024; Zbl 07839779) Full Text: DOI
Hu, Zheyuan; Shi, Zekun; Karniadakis, George Em; Kawaguchi, Kenji Hutchinson trace estimation for high-dimensional and high-order physics-informed neural networks. (English) Zbl 1539.65024 Comput. Methods Appl. Mech. Eng. 424, Article ID 116883, 17 p. (2024). MSC: 65C30 65C05 68T07 PDFBibTeX XMLCite \textit{Z. Hu} et al., Comput. Methods Appl. Mech. Eng. 424, Article ID 116883, 17 p. (2024; Zbl 1539.65024) Full Text: DOI arXiv
Lee, Kang-Hyun; Yun, Gun Jin Denoising diffusion-based synthetic generation of three-dimensional (3D) anisotropic microstructures from two-dimensional (2D) micrographs. (English) Zbl 1539.74087 Comput. Methods Appl. Mech. Eng. 423, Article ID 116876, 24 p. (2024). MSC: 74E10 PDFBibTeX XMLCite \textit{K.-H. Lee} and \textit{G. J. Yun}, Comput. Methods Appl. Mech. Eng. 423, Article ID 116876, 24 p. (2024; Zbl 1539.74087) Full Text: DOI arXiv
Tong, Guoxiang Grayson; Sing Long, Carlos A.; Schiavazzi, Daniele E. InVAErt networks: a data-driven framework for model synthesis and identifiability analysis. (English) Zbl 1539.65081 Comput. Methods Appl. Mech. Eng. 423, Article ID 116846, 33 p. (2024). MSC: 65L99 65M99 68T07 PDFBibTeX XMLCite \textit{G. G. Tong} et al., Comput. Methods Appl. Mech. Eng. 423, Article ID 116846, 33 p. (2024; Zbl 1539.65081) Full Text: DOI arXiv
Fang, Pengpeng; Zhang, Cai; Situ, Haozhen Quantum state clustering algorithm based on variational quantum circuit. (English) Zbl 07838164 Quantum Inf. Process. 23, No. 4, Paper No. 125, 11 p. (2024). MSC: 81P68 68Q12 PDFBibTeX XMLCite \textit{P. Fang} et al., Quantum Inf. Process. 23, No. 4, Paper No. 125, 11 p. (2024; Zbl 07838164) Full Text: DOI
Grieshammer, Max; Pflug, Lukas; Stingl, Michael; Uihlein, Andrian The continuous stochastic gradient method. I: Convergence theory. (English) Zbl 07838095 Comput. Optim. Appl. 87, No. 3, 935-976 (2024). MSC: 90C06 90C15 90C30 65K05 PDFBibTeX XMLCite \textit{M. Grieshammer} et al., Comput. Optim. Appl. 87, No. 3, 935--976 (2024; Zbl 07838095) Full Text: DOI arXiv OA License
Caselle, Michele; Cellini, Elia; Nada, Alessandro Sampling the lattice Nambu-Goto string using continuous normalizing flows. (English) Zbl 07837422 J. High Energy Phys. 2024, No. 2, Paper No. 48, 28 p. (2024). MSC: 81-XX PDFBibTeX XMLCite \textit{M. Caselle} et al., J. High Energy Phys. 2024, No. 2, Paper No. 48, 28 p. (2024; Zbl 07837422) Full Text: DOI arXiv OA License
Chen, Zhong; Chen, Xiaofang; Liu, Jinping; Cen, Lihui; Gui, Weihua Learning model predictive control of nonlinear systems with time-varying parameters using Koopman operator. (English) Zbl 07834009 Appl. Math. Comput. 470, Article ID 128577, 21 p. (2024). MSC: 93Bxx 93Cxx 15Axx PDFBibTeX XMLCite \textit{Z. Chen} et al., Appl. Math. Comput. 470, Article ID 128577, 21 p. (2024; Zbl 07834009) Full Text: DOI
Shkolnikov, Mykhaylo; Soner, H. Mete; Tissot-Daguette, Valentin Deep level-set method for Stefan problems. (English) Zbl 1539.74558 J. Comput. Phys. 503, Article ID 112828, 23 p. (2024). MSC: 74S99 74F05 74S60 76T99 80A22 68T07 PDFBibTeX XMLCite \textit{M. Shkolnikov} et al., J. Comput. Phys. 503, Article ID 112828, 23 p. (2024; Zbl 1539.74558) Full Text: DOI arXiv
Park, Yesom; Song, Chang hoon; Hahn, Jooyoung; Kang, Myungjoo ReSDF: redistancing implicit surfaces using neural networks. (English) Zbl 07833810 J. Comput. Phys. 502, Article ID 112803, 21 p. (2024). MSC: 65Nxx 76Mxx 68Txx PDFBibTeX XMLCite \textit{Y. Park} et al., J. Comput. Phys. 502, Article ID 112803, 21 p. (2024; Zbl 07833810) Full Text: DOI arXiv
Wassing, Simon; Langer, Stefan; Bekemeyer, Philipp Physics-informed neural networks for parametric compressible Euler equations. (English) Zbl 07833618 Comput. Fluids 270, Article ID 106164, 15 p. (2024). MSC: 76-XX PDFBibTeX XMLCite \textit{S. Wassing} et al., Comput. Fluids 270, Article ID 106164, 15 p. (2024; Zbl 07833618) Full Text: DOI arXiv