## 주메뉴

### 수치시뮬레이션기반공학특강1

• 연세대학교
• 정윤모
• 주제분류
공학 >컴퓨터ㆍ통신 >정보통신공학
• 강의학기
2012년 1학기
• 조회수
7,028
• 평점
5/5.0 (1)
For graduate student in science and engineering. The purpose of this course is twofold; sparse and redundant representation in signal and image processing and compressed sensing or compressive sampling in imaging.
CH 1: The introduction of this course

#### 차시별 강의

 1. CH 1: The introduction of this course The schedule for this semester. Reference book, requirments and evaluation method 3. CH 2: L0, L1, L2 Minimization as Regularization 1. Underdetermined linear system; 2. The temptation of convexity; 3. Closer look at L1 minimization 4. CH 2: L0, L1, L2 Minimization as Regularization 1. Closer look at L1 minimization; 2. Conversion of (P1) to linear programming; 3.Promoting sparse solution CH 2: L0, L1, L2 Minimization as Regularization 1. Promoting sparse solution; 2. The L1-norm and implications; 3. The (P0) problem-sparsity optimization 5. CH 3: Uniqueness and Uncertainty 1. Two orthogonal case; 2.. An uncertainty principle; 3. Heisenberg uncertainty 6. CH 3: Uniqueness and Uncertainty 1. Uncertainty of redundant solutions; 2. From uncertainty to uniqueness; 3. CH 3: Uniqueness and Uncertainty 1. Uniqueness via spark; 2. Uniqueness via the mutual-coherence 7. CH 4:Pursuit Algorithms- Practice (1) 1. The core idea; 2. The orthogonal matching pursuit 8. CH 4:Pursuit Algorithms- Practice (2) 1. Other greedy method; 2. Convex relaxation techniques 10. CH 5: Pursuit Algorithms--Guarantees 1. OMP Performance Guarantee; 2. BP performance guarantee; 3. Performance of pursuit algorithms; 4. Tropps Exact recovery condition 11. CH6: From Exact to Approximate Solutions (1) 1. General motivation; 2. Stability of the sparsest solution; 3. Theoretical study of the stability of (P_0^e) CH6: From Exact to Approximate Solutions (2) 1. Theoretical study of the stability of (P_0^e); 12. CH6: From Exact to Approximate Solutions (3) 1. Restricted isometry property; 2. Stability analysis; 3. Pursuit algorithms; 4. OMP and BP extension 13. CH6: From Exact to Approximate Solutions (4) 1. Basic pursuit denoising; 2. IRLS ; 3. Subgradients CH6: From Exact to Approximate Solutions (5) 1. LARS; 2. Unitary case; 3. BPDN stability guarantee 14. CH6: From Exact to Approximate Solutions； Ch7: Compressed sensing/Compressive sampling 1. stability of BPDN; 2. Overview; 3. Fourier analysis; 15. Ch7: Compressed sensing/Compressive sampling (1) 1. wavelets; 2. compressed sensing understanding Ch7: Compressed sensing/Compressive sampling (2) 1. sparsity and compression; 16. Ch7: Compressed sensing/Compressive sampling (3) 1. compressed sensing understanding; 2. Sensing matrix Ch7: Compressed sensing/Compressive sampling (4) 1. Null space conditions; 17. Ch7: Compressed sensing/Compressive sampling (5) 1. The restricted isometry property 18. Ch7: Compressed sensing/Compressive sampling (6) 1. The restricted isometry property； 2. The relationship between RIP and NSP; 3. Coherence; Ch7: Compressed sensing/Compressive sampling (7) 1. The restricted isometry property; 2. Sensing matrix constructions; 3. Signal recovery via l1 minimization; 4. Noise free signal recovery 19. Ch7: Compressed sensing/Compressive sampling (8) 1. Noise free signal recovery; 20. Ch7: Compressed sensing/Compressive sampling (9) 1. signal recovery in noise: bounded noise Ch7: Compressed sensing/Compressive sampling (10) 1. signal recovery in noise: Gaussian noise; 2. Coherence guarantees 21. The Johnson—Lindenstrauss lemma (1) 1. Lemma explaination; 2. Main idea The Johnson—Lindenstrauss lemma (2) 1. Proof The Johnson—Lindenstrauss lemma (3) 1.proof 22. Principle component analysis (1) 1. Overview; 2. Motivation: A toy example; 3. Frame work Principle component analysis (2) 1. Covariance analysis;2. Covariance matrix; Principle component analysis (3) 1. Covariance and correlation; 2. PCA using SVD

#### 사용자 의견

강의 평가를 위해서는 로그인 해주세요.
운영자2017-07-17 09:26
KOCW운영팀입니다. 강의교재는 확인이 어렵다는 답변을 받았습니다. 양해 부탁드립니다.
운영자2017-07-17 09:25
KOCW운영팀입니다. 2차시, 9차시는 교수자 및 학교의 사정으로 제공이 어렵습니다. 양해 부탁드립니다.
wh******** 2017-07-15 03:34
2회차 강의는 원래 없는건가요?
운영자2016-10-05 10:46
KOCW운영팀입니다. 연세대학교로 강의교재에 대해 문의하였습니다. 답변이 오는대로 안내 드리도록 하겠습니다.
el**** 2016-10-03 22:45
혹시 사용하는 교재를 알 수 있을까요?

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