Higham, Catherine F.; Johnson, Steven; Radwell, Neal; Padgett, Miles J.; Murray-Smith, Roderick Efficient Bayesian deep inversion. (English) Zbl 07923878 J. Comput. Dyn. 11, No. 4, 427-441 (2024). MSC: 68T07 65C20 × Cite Format Result Cite Review PDF Full Text: DOI
Kouye, Henri Mermoz; Mazo, Gildas; Prieur, Clémentine; Vergu, Elisabeta Performing global sensitivity analysis on simulations of a continuous-time Markov chain model motivated by epidemiology. (English) Zbl 07923794 Comput. Appl. Math. 43, No. 7, Paper No. 409, 23 p. (2024). MSC: 60J20 68U99 68W99 92B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhong, Mingliang; Xiao, Tianbai; Krause, Mathias J.; Frank, Martin; Simonis, Stephan A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties. (English) Zbl 07922816 J. Comput. Phys. 517, Article ID 113344, 22 p. (2024). MSC: 65C05 76D06 × Cite Format Result Cite Review PDF Full Text: DOI
Herty, Michael; Kolb, Adrian; Müller, Siegfried Higher-dimensional deterministic approach for conservation laws with random initial data. (English) Zbl 07921369 Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 111-120 (2024). MSC: 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zihan; Abbasi, Amirhassan; Kambali, Prashant N.; Nataraj, C. Uncertainty quantification in parameter estimation using physics-integrated machine learning. (English) Zbl 07918976 Lacarbonara, Walter (ed.), Advances in nonlinear dynamics. Proceedings of the third international nonlinear dynamics conference, NODYCON 2023, Rome, Italy, June 18–22, 2023. Volume III. Cham: Springer. NODYCON Conf. Proc. Ser., 493-506 (2024). MSC: 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ozbayram, Ozge; Olivier, Audrey; Graham-Brady, Lori Heteroscedastic Gaussian process regression for material structure-property relationship modeling. (English) Zbl 07917781 Comput. Methods Appl. Mech. Eng. 431, Article ID 117326, 27 p. (2024). MSC: 74-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kounouho, S.; Dingreville, R.; Guilleminot, J. Stochastic symplectic reduced-order modeling for model-form uncertainty quantification in molecular dynamics simulations in various statistical ensembles. (English) Zbl 07917779 Comput. Methods Appl. Mech. Eng. 431, Article ID 117323, 18 p. (2024). MSC: 82-XX 92-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sharma, Himanshu; Novák, Lukáš; Shields, Michael Physics-constrained polynomial chaos expansion for scientific machine learning and uncertainty quantification. (English) Zbl 07917777 Comput. Methods Appl. Mech. Eng. 431, Article ID 117314, 23 p. (2024). MSC: 68-XX 93-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Hanshu; Gao, Yongxin; Yang, Dixiong; Meng, Zeng; Fu, Zhuojia A novel weight index-based uniform partition technique of multi-dimensional probability space for structural uncertainty quantification. (English) Zbl 07917770 Comput. Methods Appl. Mech. Eng. 431, Article ID 117297, 25 p. (2024). MSC: 74-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI
Tian, Yuhang; Feng, Yuan; Ruan, Dong; Luo, Zhen; Yang, Chengwei; Wu, Di; Gao, Wei Full-field experiment-aided virtual modelling framework for inverse-based stochastic prediction of structures with elastoplasticity. (English) Zbl 07917759 Comput. Methods Appl. Mech. Eng. 431, Article ID 117284, 23 p. (2024). MSC: 62-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Pepper, Nick; Montomoli, Francesco; Kantarakias, Kyriakos SeAr PC: sensitivity enhanced arbitrary polynomial chaos. (English) Zbl 07917746 Comput. Methods Appl. Mech. Eng. 431, Article ID 117269, 17 p. (2024). MSC: 68-XX 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Sawan; Nayek, Rajdip; Chakraborty, Souvik Neural operator induced Gaussian process framework for probabilistic solution of parametric partial differential equations. (English) Zbl 07917743 Comput. Methods Appl. Mech. Eng. 431, Article ID 117265, 12 p. (2024). MSC: 68-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosafalco, Luca; Conti, Paolo; Manzoni, Andrea; Mariani, Stefano; Frangi, Attilio EKF-SINDy: empowering the extended Kalman filter with sparse identification of nonlinear dynamics. (English) Zbl 07917742 Comput. Methods Appl. Mech. Eng. 431, Article ID 117264, 22 p. (2024). MSC: 93-XX 92-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walker, Stephen G. Martingale posterior distributions for cumulative hazard functions. (English) Zbl 07916030 Scand. J. Stat. 51, No. 3, 936-955 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mohebujjaman, Muhammad; Miranda, Julian; Mahbub, Md. Abdullah Al; Xiao, Mengying An efficient and accurate penalty-projection eddy viscosity algorithm for stochastic magnetohydrodynamic flow problems. (English) Zbl 07915951 J. Sci. Comput. 101, No. 1, Paper No. 2, 40 p. (2024). MSC: 65M60 65M06 65N30 65M70 65N35 65M12 65M22 58A14 76W05 35Q35 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Poot, Anne; Kerfriden, Pierre; Rocha, Iuri; van der Meer, Frans A Bayesian approach to modeling finite element discretization error. (English) Zbl 07914863 Stat. Comput. 34, No. 5, Paper No. 167, 17 p. (2024). MSC: 62-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Schwab, Christoph; Stein, Andreas Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors. (English) Zbl 07914045 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 3, 1574-1627 (2024). MSC: 65Cxx 60Hxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bhadra, Anindya; Datta, Jyotishka; Polson, Nicholas G.; Sokolov, Vadim; Xu, Jianeng Merging two cultures: deep and statistical learning. (English) Zbl 07912697 Wiley Interdiscip. Rev., WIREs Comput. Stat. 16, No. 2, Article ID e1647, 17 p. (2024). MSC: 62-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Sung, Chih-Li; Tuo, Rui A review on computer model calibration. (English) Zbl 07912694 Wiley Interdiscip. Rev., WIREs Comput. Stat. 16, No. 1, Article ID e1645, 23 p. (2024). MSC: 62-08 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Lee, D.; Chang, S.; Lee, J. Generalized polynomial chaos expansion by reanalysis using static condensation based on substructuring. (English) Zbl 07912637 AMM, Appl. Math. Mech., Engl. Ed. 45, No. 5, 819-836 (2024). MSC: 74S60 × Cite Format Result Cite Review PDF Full Text: DOI
El Mohtar, Samah; Le Maître, Olivier; Knio, Omar; Hoteit, Ibrahim Iterative data-driven construction of surrogates for an efficient Bayesian identification of oil spill source parameters from image contours. (English) Zbl 07909559 Comput. Geosci. 28, No. 4, 681-696 (2024). MSC: 86A32 86-08 × Cite Format Result Cite Review PDF Full Text: DOI
Paun, L. Mihaela; Colebank, Mitchel J.; Taylor-LaPole, Alyssa; Olufsen, Mette S.; Ryan, William; Murray, Iain; Salter, James M.; Applebaum, Victor; Dunne, Michael; Hollins, Jake; Kimpton, Louise; Volodina, Victoria; Xiong, Xiaoyu; Husmeier, Dirk SECRET: statistical emulation for computational reverse engineering and translation with applications in healthcare. (English) Zbl 07904357 Comput. Methods Appl. Mech. Eng. 430, Article ID 117193, 22 p. (2024). MSC: 92-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mamis, Konstantinos; Farazmand, Mohammad Modeling correlated uncertainties in stochastic compartmental models. (English) Zbl 07902947 Math. Biosci. 374, Article ID 109226, 14 p. (2024). MSC: 92D30 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Dingding; He, Mengqi; Tang, Sanyi Uncertainty quantification for the random HIV dynamical model driven by drug adherence. (English) Zbl 07902698 J. Theor. Biol. 592, Article ID 111895, 12 p. (2024). MSC: 92C60 92C45 34F05 × Cite Format Result Cite Review PDF Full Text: DOI
Bender, Janina; Öffner, Philipp Entropy-conservative discontinuous Galerkin methods for the shallow water equations with uncertainty. (English) Zbl 07902381 Commun. Appl. Math. Comput. 6, No. 3, 1978-2010 (2024). MSC: 65M12 65M60 65M70 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Chuanqi; Chen, Nan; Wu, Jin-Long CGNSDE: conditional Gaussian neural stochastic differential equation for modeling complex systems and data assimilation. (English) Zbl 07901348 Comput. Phys. Commun. 304, Article ID 109302, 19 p. (2024). MSC: 60H30 86A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herath, Sumudu; Chakraborty, Souvik Nonlinear response modelling of material systems using constrained Gaussian processes. (English) Zbl 07901041 Int. J. Numer. Methods Eng. 125, No. 14, Article ID e7486, 14 p. (2024). MSC: 74S60 74A20 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Dongwei; Guo, Mengwu Gaussian process learning of nonlinear dynamics. (English) Zbl 07899903 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108184, 18 p. (2024). MSC: 65Mxx 68Txx 62Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mannseth, Trond; Fossum, Kristian; Aanonsen, Sigurd I. Calculating Bayesian model evidence for porous-media flow using a multilevel estimator. (English) Zbl 07898980 J. Comput. Phys. 514, Article ID 113209, 17 p. (2024). MSC: 86Axx 65Cxx 62Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Chiappetta, Mihaela; Piazzola, Chiara; Tamellini, Lorenzo; Reali, Alessandro; Auricchio, Ferdinando; Carraturo, Massimo Data-informed uncertainty quantification for laser-based powder bed fusion additive manufacturing. (English) Zbl 07898491 Int. J. Numer. Methods Eng. 125, No. 17, Article ID e7542, 24 p. (2024). MSC: 74S60 62P35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hauth, Jeremiah; Safta, Cosmin; Huan, Xun; Patel, Ravi G.; Jones, Reese E. Uncertainty quantification of graph convolution neural network models of evolving processes. (English) Zbl 07897597 Comput. Methods Appl. Mech. Eng. 429, Article ID 117195, 23 p. (2024). MSC: 68-XX 92-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yuanzhe; Zong, Yifei; McCreight, James L.; Hughes, Joseph D.; Tartakovsky, Alexandre M. Bayesian reduced-order deep learning surrogate model for dynamic systems described by partial differential equations. (English) Zbl 07897564 Comput. Methods Appl. Mech. Eng. 429, Article ID 117147, 18 p. (2024). MSC: 35-XX 92-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zanoni, Andrea; Geraci, Gianluca; Salvador, Matteo; Menon, Karthik; Marsden, Alison L.; Schiavazzi, Daniele E. Improved multifidelity Monte Carlo estimators based on normalizing flows and dimensionality reduction techniques. (English) Zbl 07897544 Comput. Methods Appl. Mech. Eng. 429, Article ID 117119, 23 p. (2024). MSC: 62-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klatzer, Teresa; Dobson, Paul; Altmann, Yoann; Pereyra, Marcelo; Sanz-Serna, Jesus Maria; Zygalakis, Konstantinos C. Accelerated Bayesian imaging by relaxed proximal-point Langevin sampling. (English) Zbl 07896968 SIAM J. Imaging Sci. 17, No. 2, 1078-1117 (2024). MSC: 65C40 68U10 62F15 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Liu; Qi, Kunlun Spectral convergence of a semi-discretized numerical system for the spatially homogeneous Boltzmann equation with uncertainties. (English) Zbl 07896961 SIAM/ASA J. Uncertain. Quantif. 12, 812-841 (2024). MSC: 65M70 35Q20 65M12 45G10 76P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guth, Philipp A.; Schillings, Claudia; Weissmann, Simon One-shot learning of surrogates in PDE-constrained optimization under uncertainty. (English) Zbl 07896954 SIAM/ASA J. Uncertain. Quantif. 12, 614-645 (2024). MSC: 49M41 35J25 49K20 49M37 68T05 93E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Yiwen; Jin, Shi Error estimates of a bi-fidelity method for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with random inputs. (English) Zbl 07896360 Kinet. Relat. Models 17, No. 5, 807-837 (2024). MSC: 65C30 35Q84 35R60 60H15 60H35 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Shanshan; Iliopoulos, Athanasios; Michopoulos, John; Birnbaum, Andrew; Steuben, John; Stewart, Colin; Callahan, Patrick; Rowenhorst, David; Guilleminot, Johann Microstructurally-informed stochastic inhomogeneity of material properties and material symmetries in 3D-printed 316 L stainless steel. (English) Zbl 07893932 Comput. Mech. 74, No. 1, 85-111 (2024). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hanshu; Chen, Guohai; Yang, Dixiong; Fu, Zhuojia Neural network-based DPIM for uncertainty quantification of imperfect cylindrical stiffened shells with multiple random parameters. (English) Zbl 07892934 Eng. Anal. Bound. Elem. 166, Article ID 105795, 15 p. (2024). MSC: 74-XX 92-XX × Cite Format Result Cite Review PDF Full Text: DOI
Panchal, Krunal; Vasudevan, Vaisakh; Ambikasaran, Sivaram; Narayanaswamy, Krithika A fast uncertainty quantification methodology and sampling technique for joint probability distribution of the arrhenius rate expression: a case study applied to \(\mathrm{H}_2\)/CO kinetic mechanism. (English) Zbl 07892282 Combust. Theory Model. 28, No. 4, 411-440 (2024). MSC: 80Axx 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jie; Gao, Rui; Zha, Hongyuan Reliable off-policy evaluation for reinforcement learning. (English) Zbl 07887720 Oper. Res. 72, No. 2, 699-716 (2024). MSC: 90Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Yang; Fang, Xiangzhong A new \(L_2\) calibration procedure of computer models based on the smoothing spline ANOVA. (English) Zbl 07887505 Stat. Pap. 65, No. 4, 1901-1926 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mabadeje, Ademide O.; Pyrcz, Michael J. Rigid transformations for stabilized lower dimensional space to support subsurface uncertainty quantification and interpretation. (English) Zbl 1541.86023 Comput. Geosci. 28, No. 3, 469-489 (2024). MSC: 86A20 86A32 62R07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Xuhang; Zheng, Wenzhi; Zhang, Fang; Chen, Haibo Uncertainty quantification and robust shape optimization of acoustic structures based on IGA BEM and polynomial chaos expansion. (English) Zbl 07886286 Eng. Anal. Bound. Elem. 165, Article ID 105770, 24 p. (2024). MSC: 76-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Smith, Ralph C. Uncertainty quantification. Theory, implementation, and applications (to appear). 2nd edition. (English) Zbl 07883908 Computational Science and Engineering 30. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-783-7/hbk). (2024). MSC: 65-02 62M20 65D32 65D05 92F99 00A69 00A71 62P30 62K86 × Cite Format Result Cite Review PDF
Jouan, Gabriel; Arnardottir, Erna Sif; Islind, Anna Sigridur; Óskarsdóttir, María An algorithmic approach to identification of gray areas: analysis of sleep scoring expert ensemble non agreement areas using a multinomial mixture model. (English) Zbl 07881393 Eur. J. Oper. Res. 317, No. 2, 352-365 (2024). MSC: 90Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yanqin; Yuan, Ye; Chen, Renliang Takeoff optimisation of coaxial compound helicopter with uncertainty quantification. (English) Zbl 07881285 Optim. Eng. 25, No. 2, 999-1024 (2024). MSC: 93C85 93C41 × Cite Format Result Cite Review PDF Full Text: DOI
Aziz-Alaoui, Amine; Roustant, Olivier; De Lozzo, Matthias A scalable problem to benchmark robust multidisciplinary design optimization techniques. (English) Zbl 07881283 Optim. Eng. 25, No. 2, 941-958 (2024). MSC: 90Cxx 74Pxx 65Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Villalón, Elena; Yang, Qian; Sing Long, Carlos A. Tikhonov regularization as a nonparametric method for uncertainty quantification in aggregate data problems. (English) Zbl 07880839 J. Comput. Phys. 513, Article ID 113141, 36 p. (2024). MSC: 90Cxx 41Axx 65Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Yang; Fang, Xiangzhong A model calibration procedure for count response. (English) Zbl 07880514 Commun. Stat., Theory Methods 53, No. 12, 4272-4289 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ding, Huan; Yang, Yang; Zhong, Xinghui Numerical methods for reinterpreted discrete fracture models with random inputs. (English) Zbl 07878290 J. Comput. Appl. Math. 448, Article ID 115938, 18 p. (2024). MSC: 76Mxx 65Nxx 76Sxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhehui; Mak, Simon; Wu, C. F. Jeff A hierarchical expected improvement method for Bayesian optimization. (English) Zbl 07877186 J. Am. Stat. Assoc. 119, No. 546, 1619-1632 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Praachi; Igoe, Morganne; Lacy, Alexanderia; Farthing, Trevor; Timsina, Archana; Lanzas, Cristina; Lenhart, Suzanne; Odoi, Agricola; Lloyd, Alun L. Modeling county level COVID-19 transmission in the greater St. Louis area: challenges of uncertainty and identifiability when fitting mechanistic models to time-varying processes. (English) Zbl 07875657 Math. Biosci. 371, Article ID 109181, 16 p. (2024). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Dölz, Jürgen; Ebert, David; Schöps, Sebastian; Ziegler, Anna Shape uncertainty quantification of Maxwell eigenvalues and -modes with application to TESLA cavities. (English) Zbl 07875043 Comput. Methods Appl. Mech. Eng. 428, Article ID 117108, 21 p. (2024). MSC: 78-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Heng; Fu, Chao; Zhang, Yaqiong; Zhu, Weidong; Lu, Kuan; Francis, Egbo M. Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: a review. (English) Zbl 07875037 Comput. Methods Appl. Mech. Eng. 428, Article ID 117098, 43 p. (2024). MSC: 74-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Sunwoong; Kim, Hojin; Hong, Yoonpyo; Yee, Kwanjung; Maulik, Romit; Kang, Namwoo Data-driven physics-informed neural networks: a digital twin perspective. (English) Zbl 07875017 Comput. Methods Appl. Mech. Eng. 428, Article ID 117075, 28 p. (2024). MSC: 68-XX 81-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moug, Kati; Shen, Siqian The costs of overcrowding (and release): strategic discharges for isolated facilities during epidemiological outbreaks. (English) Zbl 07870676 Comput. Oper. Res. 165, Article ID 106578, 13 p. (2024). MSC: 90Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Chiarello, Felisia Angela; Göttlich, Simone; Schillinger, Thomas; Tosin, Andrea Hydrodynamic traffic flow models including random accidents: a kinetic derivation. (English) Zbl 1541.35332 Commun. Math. Sci. 22, No. 3, 845-870 (2024). MSC: 35Q20 35Q70 76A30 76P05 90B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Ning; Chen, Dingyu; Li, Peijun; Zhong, Xinghui A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation. (English) Zbl 1541.65006 Commun. Math. Sci. 22, No. 2, 563-581 (2024). MSC: 65C30 34A55 65L09 78A46 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Pratyush Kumar; Farrell-Maupin, Kathryn A.; Faghihi, Danial A framework for strategic discovery of credible neural network surrogate models under uncertainty. (English) Zbl 07867445 Comput. Methods Appl. Mech. Eng. 427, Article ID 117061, 27 p. (2024). MSC: 92-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zi; Deng, Yiming Quantifying predictive uncertainty in damage classification for nondestructive evaluation using Bayesian approximation and deep learning. (English) Zbl 07867311 Inverse Probl. 40, No. 4, Article ID 045031, 28 p. (2024). MSC: 68-XX 68Txx 15Axx × Cite Format Result Cite Review PDF Full Text: DOI OA License
García-Merino, J. C.; Calvo-Jurado, C.; García-Macías, E. Sparse polynomial chaos expansion for universal stochastic kriging. (English) Zbl 07866507 J. Comput. Appl. Math. 444, Article ID 115794, 16 p. (2024). MSC: 65Cxx 62Kxx 62Jxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Harbrecht, Helmut; Karnaev, Viacheslav; Schmidlin, Marc Quantifying domain uncertainty in linear elasticity. (English) Zbl 07864810 SIAM/ASA J. Uncertain. Quantif. 12, 503-523 (2024). MSC: 35R60 35J57 60H35 65C30 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Curran-Sebastian, Jacob; Pellis, Lorenzo; Hall, Ian; House, Thomas Calculation of epidemic first passage and peak time probability distributions. (English) Zbl 07864801 SIAM/ASA J. Uncertain. Quantif. 12, 242-261 (2024). MSC: 92D30 60J85 60J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Nuojin; Malik, Osman Asif; Xu, Yiming; Becker, Stephen; Doostan, Alireza; Narayan, Akil Subsampling of parametric models with bifidelity boosting. (English) Zbl 07864800 SIAM/ASA J. Uncertain. Quantif. 12, 213-241 (2024). MSC: 68Q25 68R10 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Peiyi; Song, Qifan; Liang, Faming A langevinized ensemble Kalman filter for large-scale dynamic learning. (English) Zbl 07864340 Stat. Sin. 34, Spec. Iss., 1071-1091 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pratola, M. T.; George, E. I.; McCulloch, R. E. Influential observations in Bayesian regression tree models. (English) Zbl 07862305 J. Comput. Graph. Stat. 33, No. 1, 47-63 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cortés, Juan-Carlos; Navarro-Quiles, Ana; Sferle, Sorina-Madalina Study of nonhomogeneous linear second-order discrete dynamical systems with uncertainties: solution and stability with applications. (English) Zbl 07861201 Math. Methods Appl. Sci. 47, No. 5, 3345-3360 (2024). MSC: 39A50 39A60 92B05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Harbrecht, Helmut; Schmidlin, Marc; Schwab, Christoph The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs. (English) Zbl 1541.35034 Math. Models Methods Appl. Sci. 34, No. 5, 881-917 (2024). MSC: 35B30 35J61 47J07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Yuling; Chen, Yuxin; Fan, Jianqing Inference for heteroskedastic PCA with missing data. (English) Zbl 1539.62185 Ann. Stat. 52, No. 2, 729-756 (2024). MSC: 62H25 62D10 62E17 62H12 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Narnhofer, Dominik; Habring, Andreas; Holler, Martin; Pock, Thomas Posterior-variance-based error quantification for inverse problems in imaging. (English) Zbl 1539.68355 SIAM J. Imaging Sci. 17, No. 1, 301-333 (2024). MSC: 68U10 62F15 65J22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zheng, Zhibao; Nackenhorst, Udo Stochastic virtual element methods for uncertainty propagation of stochastic linear elasticity. (English) Zbl 07850340 Comput. Mech. 73, No. 3, 667-684 (2024). MSC: 74S99 74S60 74B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jin, Shi; Lin, Yiwen Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty. (English) Zbl 07850181 J. Differ. Equations 400, 110-145 (2024). MSC: 35Q83 35Q84 35Q30 35Q20 76D05 82C40 35B65 35B20 60H35 65C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Yang; Fang, Xiangzhong Efficient calibration of computer models with multivariate output. (English) Zbl 07846383 J. Multivariate Anal. 202, Article ID 105315, 20 p. (2024). MSC: 62Hxx 62F12 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Tiangang; De Sterck, Hans; Gilbert, Alexander D.; Polishchuk, Stanislav; Scheichl, Robert Multilevel Monte Carlo methods for stochastic convection-diffusion eigenvalue problems. (English) Zbl 07845619 J. Sci. Comput. 99, No. 3, Paper No. 77, 35 p. (2024). MSC: 65N25 65C05 65N30 65N50 65F15 65N15 65N99 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Castrillón-Candás, Julio Enrique Spatial best linear unbiased prediction: a computational mathematics approach for high dimensional massive datasets. (English) Zbl 07845582 Adv. Comput. Math. 50, No. 3, Paper No. 37, 39 p. (2024). MSC: 62-08 62H99 65C99 65F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dimarco, Giacomo; Pareschi, Lorenzo; Zanella, Mattia Micro-macro stochastic Galerkin methods for nonlinear Fokker-Planck equations with random inputs. (English) Zbl 1536.65007 Multiscale Model. Simul. 22, No. 1, 527-560 (2024). MSC: 65C30 35Q84 35R60 65M70 76M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saetta, Ettore; Tognaccini, Renato; Iaccarino, Gianluca Uncertainty quantification in autoencoders predictions: applications in aerodynamics. (English) Zbl 07843847 J. Comput. Phys. 506, Article ID 112951, 20 p. (2024). MSC: 68Txx 65Cxx 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Novák, Lukáš; Sharma, Himanshu; Shields, Michael D. Physics-informed polynomial chaos expansions. (English) Zbl 07843829 J. Comput. Phys. 506, Article ID 112926, 18 p. (2024). MSC: 65Cxx 60Hxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Moraes, Matheus Bernardelli; Coelho, Guilherme Palermo A benchmark generator for scenario-based discrete optimization. (English) Zbl 07843793 Comput. Optim. Appl. 88, No. 1, 349-378 (2024). MSC: 90C29 90C59 × Cite Format Result Cite Review PDF Full Text: DOI
Zou, Zongren; Meng, Xuhui; Karniadakis, George Em Correcting model misspecification in physics-informed neural networks (PINNs). (English) Zbl 07842894 J. Comput. Phys. 505, Article ID 112918, 21 p. (2024). MSC: 68Txx 65Cxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shivanand, Sharana Kumar; Rosić, Bojana; Matthies, Hermann G. Stochastic modelling of symmetric positive definite material tensors. (English) Zbl 07842876 J. Comput. Phys. 505, Article ID 112883, 30 p. (2024). MSC: 65Cxx 60Gxx 60Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Szabó, B.; Actis, R. The demarcation problem in the applied sciences. (English) Zbl 07839891 Comput. Math. Appl. 162, 206-214 (2024). MSC: 90-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Guth, Philipp A.; Kaarnioja, Vesa Generalized dimension truncation error analysis for high-dimensional numerical integration: lognormal setting and beyond. (English) Zbl 07836940 SIAM J. Numer. Anal. 62, No. 2, 872-892 (2024). MSC: 65D30 65D32 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Wenbo; Gu, Wei Machine learning for a class of partial differential equations with multi-delays based on numerical Gaussian processes. (English) Zbl 07834041 Appl. Math. Comput. 467, Article ID 128498, 29 p. (2024). MSC: 35R10 35R11 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Logashenko, Dmitry; Litvinenko, Alexander; Tempone, Raul; Vasilyeva, Ekaterina; Wittum, Gabriel Uncertainty quantification in the Henry problem using the multilevel Monte Carlo method. (English) Zbl 07833841 J. Comput. Phys. 503, Article ID 112854, 17 p. (2024). MSC: 65Cxx 65Nxx 60Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Medaglia, Andrea; Pareschi, Lorenzo; Zanella, Mattia Particle simulation methods for the Landau-Fokker-Planck equation with uncertain data. (English) Zbl 07833840 J. Comput. Phys. 503, Article ID 112845, 24 p. (2024). MSC: 65Cxx 65Yxx 82Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baptista, Ricardo; Cao, Lianghao; Chen, Joshua; Ghattas, Omar; Li, Fengyi; Marzouk, Youssef M.; Oden, J. Tinsley Bayesian model calibration for block copolymer self-assembly: likelihood-free inference and expected information gain computation via measure transport. (English) Zbl 07833839 J. Comput. Phys. 503, Article ID 112844, 38 p. (2024). MSC: 62Fxx 65Cxx 68Txx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elman, Howard C.; Liang, Jiaxing; Sánchez-Vizuet, Tonatiuh Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem. (English) Zbl 1536.82023 Comput. Phys. Commun. 298, Article ID 109099, 13 p. (2024). MSC: 82D10 82D75 82M31 82M10 65C05 65N30 65N50 65N75 65N15 35R35 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pulch, Roland Stochastic Galerkin method and port-Hamiltonian form for linear dynamical systems of second order. (English) Zbl 1540.65386 Math. Comput. Simul. 216, 187-197 (2024). MSC: 65M60 65C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
O’Connor, Joseph; Laizet, Sylvain; Wynn, Andrew; Edeling, Wouter; Coveney, Peter V. Quantifying uncertainties in direct numerical simulations of a turbulent channel flow. (English) Zbl 07832212 Comput. Fluids 268, Article ID 106108, 15 p. (2024). MSC: 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Peiyi; Guilleminot, Johann; Soize, Christian Concurrent multiscale simulations of nonlinear random materials using probabilistic learning. (English) Zbl 1539.74017 Comput. Methods Appl. Mech. Eng. 422, Article ID 116837, 20 p. (2024). MSC: 74A40 74S60 × Cite Format Result Cite Review PDF Full Text: DOI
Thapa, Mishal; Mulani, Sameer B.; Paudel, Achyut; Gupta, Subham; Walters, Robert W. Classifier-based adaptive polynomial chaos expansion for high-dimensional uncertainty quantification. (English) Zbl 1539.65022 Comput. Methods Appl. Mech. Eng. 422, Article ID 116829, 23 p. (2024). MSC: 65C20 62H30 × Cite Format Result Cite Review PDF Full Text: DOI
Bambach, Markus; Gerster, Stephan; Herty, Michael; Sikstel, Aleksey Description of random level sets by polynomial chaos expansions. (English) Zbl 1537.35156 Commun. Math. Sci. 22, No. 1, 95-112 (2024). MSC: 35F21 37L45 60D05 60H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sung, Chih-Li; Ji, Yi (Irene); Mak, Simon; Wang, Wenjia; Tang, Tao Stacking designs: designing multifidelity computer experiments with target predictive accuracy. (English) Zbl 1533.62057 SIAM/ASA J. Uncertain. Quantif. 12, 157-181 (2024). MSC: 62L05 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Xianliang; Pan, Yulin Multifidelity Bayesian experimental design to quantify rare-event statistics. (English) Zbl 1534.62108 SIAM/ASA J. Uncertain. Quantif. 12, 101-127 (2024). MSC: 62K05 60F10 62D05 62F15 62G32 68T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Nuojin; Malik, Osman Asif; De, Subhayan; Becker, Stephen; Doostan, Alireza Bi-fidelity variational auto-encoder for uncertainty quantification. (English) Zbl 1539.62013 Comput. Methods Appl. Mech. Eng. 421, Article ID 116793, 21 p. (2024). MSC: 62-08 62F15 62G08 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Hao; Dolbow, John E.; Guilleminot, Johann Representing model uncertainties in brittle fracture simulations. (English) Zbl 1539.74392 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116575, 23 p. (2024). MSC: 74R10 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI