NDAK22000U Machine Learning A (MLA)
BSc Programme in Bioinformatics
BSc Programme in Cognitive Data Science
BSc Programme in Machine Learning and Data Science
BSc Programme in Computer Science (data science track)
MSc Programme in Computer Science
MSc Programme in Computer Science (part time)
MSc Programme in Computer Science (with minor subject)
MSc Programme in Actuarial Mathematics
MSc Programme in Bioinformatics
MSc Programme in Mathematics-Economics
MSc Programme in Statistics
The course introduces basic theory and algorithms of machine learning. The course covers the following tentative list of topics:
- Supervised learning setting
- Classification
- Regression
- Unsupervised learning setting
- Clustering
- Concentration of measure inequalities
- Markov's
- Chebyshev's
- Hoeffding's
- Analysis of generalization in classification
- Validation and cross-validation
- Generalisation bound for a single hypothesis
- Generalisation bound for a finite hypothesis class
- Occam's razor - generalisation bound for a countably infinite hypothesis class
- Algorithms
- K-Nearest Neighbors
- Perceptron
- Logistic Regression
- Linear Regression
- Feature transformations and classification/regression in transformed feature spaces
- Various forms of regularisation
- Regularization terms
- Dimensionality reduction
- Random Forests and Decision Trees
- Neural Networks and introduction to Deep Learning
- Principal Component Analysis (PCA)
- Clustering algorithms: k-means, k-means++
- Assumptions behind the algorithms taught in the course, their
implications, and common pitfalls
- Overfitting
- Internal overfitting within algorithms due to overly complex hypothesis spaces
- Extrenal overfitting outside algorithms due to application of an excessive number of algorithms to a dataset
- The i.i.d. assumption
- The i.i.d. assumption is behind everything taught in the course
- Consequences of violation of the i.i.d. assumption
- Special case: sampling bias
- Failure of generalisation guarantees
- Implications of the i.i.d. assumption
- Biases in the training data propagate into predictions
- Correlation ≠ Causality
- The course only studies statistical correlations / dependencies in the data. Causal inference is not covered in the course.
- Overfitting
WARNING: The course assumes solid math and programming skills. Please, check the "Recommended Academic Qualifications" box below and the self-assessment assignment. It is not advised taking the course if you do not meet the academic qualifications.
At course completion, the successful student will have:
Knowledge of
- the basic principles of machine learning;
- basic probability theory for modelling and analysing data;
- the theoretical concepts underlying classification, regression, and clustering;
- the mathematical foundations of selected machine learning algorithms;
- basic assumptions behind the algorithms studied in the course, their implications and common pitfalls.
Skills in
- proving generalisation bounds based on validation errors;
- proving generalisation bounds for countable hypothesis classes;
- applying linear and non-linear techniques for classification and regression;
- performing elementary dimensionality reduction;
- elementary data clustering;
- implementing selected machine learning algorithms;
- visualising and evaluating results obtained with machine learning techniques;
- using software libraries for solving machine learning problems;
- identifying and handling common pitfalls in machine learning.
Competences in
- recognising and describing possible applications of machine learning;
- formalising and rigorously analysing machine learning problems;
- comparing, appraising and selecting machine learning methods for specific tasks;
- solving real-world data mining and pattern recognition problems by using machine learning techniques.
Will be published on Absalon.
2. Knowledge of Calculus corresponding to Introduktion til matematik i naturvidenskab (MatintroNat) or Matematisk analyse og sandsynlighedsteori i datalogi (MASD).
3.Knowledge of Probability Theory corresponding to Sandsynligheds-regning og statistik (SS), Grundlæggende statistik og sandsynlighedsregning (GSS) or Matematisk analyse og sandsynlighedsteori i datalogi (MASD) and Modelling analysis of data (MAD).
4.Knowledge of Discrete Mathematics corresponding to Diskret matematik og formelle sprog (DMFS), Introduktion til Diskret Matematik og Algoritmer (IDMA) or Diskret Matematik og algoritmer (DMA).
5. Knowledge of programming corresponding to Programmering og problemløsning (PoP) and experience with programming in Python.
You can test your skills by solving the self-assessment assignment at https://sites.google.com/diku.edu/machine-learning-courses/mla.
It is not allowed to pass both this course and the Introduktion til Machine Learning (IntroML).
The course is similar to NDAB21005U Machine Learning A (MLA) and it is therefore not allowed to pass both courses.
- Category
- Hours
- Lectures
- 34
- Preparation
- 8
- Theory exercises
- 57
- Practical exercises
- 57
- Exam Preparation
- 25
- Exam
- 25
- Total
- 206
As
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- Credit
- 7,5 ECTS
- Type of assessment
- Written assignment, 7 days
- Type of assessment details
- The exam is a 7-day written take-home assignment (must be
solved individually).
The exam will be handed out Friday in block week 7 and must be handed in the following Friday.
*Please note: that the planned exam workload is 25 hours. We provide extra days to allow the students to combine the exam with other potential duties, such as other exams or work commitments. - Exam registration requirements
5-7 mandatory written take-home assignments (must be solved individually).
A student must score above 50% on average in the assignments in order to qualify for the exam.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- External censorship
- Re-exam
Same as the ordinary exam.
Prerequisite for participation in the re-exam is handing in the course assignments no later than 3 weeks prior to the re-exam week and scoring at least 50% on average in these assignments.
Criteria for exam assesment
See Learning Outcome
Course information
- Language
- English
- Course code
- NDAK22000U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 1
- Schedule
- BThis is an on-site course, but we support remote participation via online streaming and lecture recording
- Course capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Computer Science
Contracting faculty
- Faculty of Science
Course Coordinators
- Sadegh Talebi (m.shahi@di.ku.dk)
Lecturers
Yevgeny Seldin, Christian Igel, and Sadegh Talebi