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MAHIDOL UNIVERSITY CENTER FOR SCIENTIFIC COMPUTING

SCPY407/630 Inverse Theory and Applications


InstructorChaiwoot Boonyasiriwat (chaiwoot@gmail.com)
Class HoursWednesday (9:00AM-12:00PM)
Class RoomComputer Lab
Assessmentclass attendance and participation 10, assignments 50, project 40
Slides 01_linear_regression.pdf
02_function_spaces.pdf
03_regularization.pdf
04_optimization.pdf
05_optimization.pdf
06_metaheuristics.pdf
07_nonlinear_problems.pdf
08_adjoint_method.pdf
09_inverse_scattering.pdf

Tentative Schedule

Week Date Topics Assignments
1 Jan 10, 2024 Introduction to inverse problems, examples of inverse problems, classification of problems, linear regression
2 Jan 17, 2024 Functional spaces: Euclidean space, metric space, inner product space, Hilbert space
3 Jan 24, 2024 Rank deficiency, generalized inverse, instability, Tikhonov regularization
4 Jan 31, 2024 Gradient-based optimization algorithms
5 Feb 7, 2024 Gradient-based optimization algorithms (continued)
6 Feb 14, 2024 Metaheuristic optimization algorithms
7 Feb 21, 2024 Metaheuristic optimization algorithms (continued)
8 Feb 28, 2024 Nonlinear inverse problem, fast sweeping method
9 Mar 6, 2024 Adjoint-state method (Plessix, 2006)
10 Mar 13, 2024 Ray-based inverse scattering, traveltime tomography based on the adjoint method
11 Mar 20, 2024 Wave-based inverse scattering, frequency-domain waveform modeling, frequency-domain full-waveform inversion
12 Mar 27, 2024 Time-domain full-waveform inversion
13 Apr 3, 2024 Introduction to deep learning and Keras
14 Apr 10, 2024 Deep learning for inverse problems
15 Apr 17, 2024 Deep learning for inverse problems (continued)
16 Apr 24, 2024 Deep learning for inverse problems (continued)
17 TBA Project presentation

References

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