圖形識別
Pattern Recognition
| 節 | 週二 |
|---|---|
3 10:10–11:00 | 圖形識別 EC115（光復） 2 節連堂 |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
This course explores pattern recognition through the lens of geometric spaces and representation learning. Moving beyond static algorithms, students study how computers structure raw high-dimensional data into meaningful geometry—covering metric engineering, non-linear manifold unrolling, probabilistic latent density fields, and the mathematical mechanics used to audit modern self-supervised foundation embeddings. This is a revised design that shifts away from traditional approaches focused on classification methods or neural networks, with the goal that the students will gain a more unified understanding, instead of just a toolbox of algorithms and/or models.
Mathematics: Calculus, Linear Algebra, Probability Scientifica programming skills (python/numpy and/or matlab)
無備註
E3
Homework x3, each including programming and experiment report (45%) Quiz x3 (lecture material QA + topics from homeworks) (30%) Final Exam, written (25%)
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction Pattern Recognition as the Analysis and Manipulation of Data Geometry 2026-09-08(二) |
| 第 2 週 | Classification Overview 2026-09-15(二) |
| 第 3 週 | Covariance Geometry and Metric Engineering PCA 2026-09-22(二) |
| 第 4 週 | Linear Separability and Data Whitening PCA and LDA 2026-09-29(二) |
| 第 5 週 | The Geometry of High Dimensions 2026-10-06(二) |
| 第 6 週 | Introduction to Manifolds 2026-10-13(二) |
| 第 7 週 | Cover's Theorem and Kernel Framework 2026-10-20(二) |
| 第 8 週 | Topological Graph Embeddings and Manifold Unrolling 2026-10-27(二) |
| 第 9 週 | Clustering Hypothesis I: Hard Isotropic Geometry 2026-11-03(二) |
| 第 10 週 | Clustering Hypothesis II: Elastic Density Fields and EM Algorithm 2026-11-10(二) |
| 第 11 週 | Clustering Hypothesis III: Topological Connectivity and Spectral Graphs 2026-11-17(二) |
| 第 12 週 | Information Theory 2026-11-24(二) |
| 第 13 週 | Self-Supervised Learning 2026-12-01(二) |
| 第 14 週 | Self-Supervised Learning Auditing and Probing Foundation Spaces 2026-12-08(二) |
| 第 15 週 | Review / TBD 2026-12-15(二) |
| 第 16 週 | Final Exam 2026-12-22(二) |
Instructor's lecture notes
- 地點
- EC709
- 時間
- Tuesdays 12-1, or by appointment
- 聯絡方式
- 56689 wangts@cs.nycu.edu.tw