| ชื่อเรื่อง | : | Bayesian inverse problems in measure spaces with application to Burgers and Hamilton–Jacobi equations with white noise forcing. |
| นักวิจัย | : | Hoang, Viet Ha. |
| คำค้น | : | DRNTU::Science::Mathematics::Topology. |
| หน่วยงาน | : | Nanyang Technological University, Singapore |
| ผู้ร่วมงาน | : | - |
| ปีพิมพ์ | : | 2555 |
| อ้างอิง | : | Hoang, V. H. (2012). Bayesian inverse problems in measure spaces with application to Burgers and Hamilton–Jacobi equations with white noise forcing. Inverse Problems, 28(2), 025009. , http://hdl.handle.net/10220/18459 , http://dx.doi.org/10.1088/0266-5611/28/2/025009 |
| ที่มา | : | - |
| ความเชี่ยวชาญ | : | - |
| ความสัมพันธ์ | : | Inverse problems |
| ขอบเขตของเนื้อหา | : | - |
| บทคัดย่อ/คำอธิบาย | : | This paper formulates Bayesian inverse problems for inference in a topological measure space given noisy observations. Conditions for the validity of the Bayes’ formula and the well posedness of the posterior measure are studied. The abstract theory is then applied to Burgers and Hamilton–Jacobi equations on a semi-infinite time interval with forcing functions which are white noise in time. Inference is made on the white noise forcing, assuming the Wiener measure as the prior. |
| บรรณานุกรม | : |
Hoang, Viet Ha. . (2555). Bayesian inverse problems in measure spaces with application to Burgers and Hamilton–Jacobi equations with white noise forcing..
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Hoang, Viet Ha. . 2555. "Bayesian inverse problems in measure spaces with application to Burgers and Hamilton–Jacobi equations with white noise forcing.".
กรุงเทพมหานคร : Nanyang Technological University, Singapore. Hoang, Viet Ha. . "Bayesian inverse problems in measure spaces with application to Burgers and Hamilton–Jacobi equations with white noise forcing.."
กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2555. Print. Hoang, Viet Ha. . Bayesian inverse problems in measure spaces with application to Burgers and Hamilton–Jacobi equations with white noise forcing.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2555.
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