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Statistical Pattern Recognition

Prof. Thomas Brox

Statistical pattern recognition, also known as "machine learning", is a key element of modern computer science. Its goal is to find, learn, and recognize patterns in complex data, for example in images, speech, biological pathways, the internet. In contrast to classical computer science, where the computer program, the algorithm, is the key element of the process, in machine learning we have a learning algorithm, but in the end the actual information is not in the algorithm, but in the representation of the data processed by this algorithm.

This course gives an introduction to the fundamentals of machine learning and its major tasks: classification, regression, and clustering. In the case of classification, we learn a decision function from annotated training examples (e.g., a set of dog and non-dog images). Given a new image, the classifier should be able to tell whether it is a dog image or not. In regression we learn a mapping from an input function to an output function. Again this mapping is learned from a set of input/output pairs. Both classification and regression are supervised methods as the data comes together with the correct output. Clustering is an unsupervised learning method, where we are just given unlabeled data and where clustering should separate the data into reasonable subsets. The course is based in large parts on the textbook "Pattern Recognition and Machine Learning" by Christopher Bishop. It puts emphasis on the probabilistic modelling, and thus goes a bit deeper into the fundamentals of machine learning than other machine learning introductory lectures. The exercises will consist of theoretical assignments and programming assignments in Python.

Lecture:
(2 SWS)
Monday, 10:15-11:45
101-01-016/18

Exercises:
(2 SWS)
Monday, 16:00
101-01-016/18
Contact persons: Simon Ging, Silvio Galesso
Discussion Forum
Exercise sessions happen on the same dates as lectures (see timetable below). If there is no lecture, there is also no exercise session on that day. Exception: On 15.7. we present the last solution.

Beginning: Lecture: Monday, April 15, 2024
Exercises: Monday, April 15, 2024

ECTS Credits: 6

Recommended semester:

1 or 2 (MSc)
Requirements: Fundamental mathematical knowledge, particularly statistics.

Exam: Written exam.

Remarks: Full completion of all relevant theoretical and programming assignments is highly recommended.

Relevance vector machines

Slides and Recordings

DateTopicSlidesRecordingsSolutions
15.4. Class 1: Introduction MachineLearning01.pdf MachineLearning01.mp4
22.4. Class 2: Probability distributions MachineLearning02.pdf MachineLearning02.mp4
29.4. Class 3: Mixture models, clustering, and EM MachineLearning03.pdf MachineLearning03.mp4
6.5. Class 4: Nonparametric methods MachineLearning04.pdf MachineLearning04.mp4
13.5. Class 5: Regression MachineLearning05.pdf MachineLearning05.mp4
27.5. Class 6: Gaussian processes MachineLearning06.pdf MachineLearning06.mp4
3.6. Class 7: Classification MachineLearning07.pdf MachineLearning07.mp4
10.6. Class 8: Support vector machines MachineLearning08.pdf MachineLearning08.mp4
17.6. Class 9: Projection methods MachineLearning09.pdf MachineLearning09.mp4
1.7. Class 10: Inference in graphical models MachineLearning10.pdf MachineLearning10.mp4
8.7. Class 11: Sampling methods MachineLearning11.pdf
MachineLearning11.mp4

Exercises

The exercise material is provided at a Github repository.

There is an Online Forum for announcements, questions, and discussions.

See the Short introduction to git if you have never used git before.