MTH 656 - Sec 010
Numerical Analysis
(Computational Methods for Inverse Problems)

MWF 9:00-9:50
STAG 412
Spring 2022


Calendar

Check Regularly For Updates
Last modified: Tue Mar 29 15:19:46 PDT 2022

  Mon Tues Wed Thur Fri
Week 1

Presentation on Electromagnetic Inverse Problems

Classes begin

Lec 1: Well-posedness and conditioning

Lec 2: Linear Least Squares problems and Regularization
2

Lec 3: Regularization (cont.)

Lec 4: SVD and Ill-posedness

Lec 5: Ill-conditioning and Low-rank approximations

Last day to
add/drop
3

Lec 6: Chap 1 Filtering

Lec 6: Chap 1 Filtering (cont.)

Chap 6 Parameter Identification
4

Chap 6 Parameter Identification (cont.)

Convergence

Model Validation

HW1 Due
5

Chap 4 Statistical Estimation Theory

Chap 4 Statistical Estimation Theory (cont.)

"Gradient-based Methods for Optimization": Part 2 "Stochastic Spectral Approaches to Bayesian Inference"
6

Unconstrained Optimization

Proposal Due

Steepest Descent

Line Search

HW2 Due
7

Newton's Method

Newton Convergence

Inexact Newton and Quasi-Newton

Last day to
change to S/U
8

Nonlinear Least Squares and Gauss-Newton

Levenberg-Marquardt and Trust Regions

Chap 9 Constrained Optimization

HW3 Due
9

Gradient Projection Method

10

Memorial Day

No Classes

11


Last updated: Tue Mar 29 21:35:03 PDT 2022