MSc Computational Statistics and Machine Learning teaches advanced analytical and computational skills for success in a data rich world. Designed to be both mathematically rigorous and relevant, the programme covers fundamental aspects of machine learning and statistics, with potential options in information retrieval, bioinformatics, quantative finance, artificial intelligence and machine vision.
The programme is organised by the Centre for Computational Statistics and Machine Learning (CSML) - a major European Centre for Machine Learning and was scientific coordinator of the PASCAL2 European Network of Excellence. Coupled with the internationally renowned Gatsby Computational Neuroscience and Machine Learning Unit, and the prestigious Department of Statistical Science, the programme draws on world class research and teaching talents.
MSc Computational Statistics and Machine Learning comprises 8 taught modules and a Dissertation. Of the taught modules, 2 are core modules, with either 6 option modules, 5 option modules and 1 elective module, or 4 option modules and 2 elective modules.
Core Modules Term 1
COMPGI01 Supervised Learning
This module covers supervised approaches to machine learning. It starts by reviewing fundamentals of statistical decision theory and probabilistic pattern recognition followed by an in-depth introduction to various supervised learning algorithms such as Perceptron, Backpropagation algorithm, Decision trees, instance-based learning, support vector machines. Algorithmic-independent principles such as inductive bias, side information, approximation and estimation errors. Assessment of algorithms by jackknife and bootstrap error estimation, improvement of algorithms by voting methods such as boosting. Introduction to statistical learning theory, hypothesis classes, PAC learning model, VC-dimension, growth functions, empirical risk minimization, structural risk minimization.
Students will gain an in-depth familiarity with various classical and contemporary supervised learning algorithms, understand the underlying limitations and principles that govern learning algorithms and ways of assessing and improving their performance, understand the underlying fundamentals of statistical learning theory, the complexity of learning and its relationship to generalization ability.
STATG001 Statistical Models & Data Analysis
Taught by Statistics - see here for syllabus.
Core Modules Project
COMPGM99 Individual Project
Further syllabus information will be available shortly.
Optional Modules [Group 1] Term 1
COMPGI08 Graphical Models
The module provides an entry into probabilistic modeling and reasoning, primarily of discrete variable systems. Very little continuous variable calculus is required, and students more familiar with discrete mathematics should find the course digestible. The emphasis is to demonstrate the potential applications of the techniques in plausible real-world scenarios related to information retrieval and analysis. Concrete challenges include questionnaire analysis, low-density parity check error correction, and collaborative filtering of Netflix data.
COMPGI18 Probabilistic & Unsupervised Learning
This module provides students with an in-depth introduction to statistical modelling and unsupervised learning techniques. It presents probabilistic approaches to modelling and their relation to coding theory and Bayesian statistics. A variety of latent variable models will be covered including mixture models (used for clustering), dimensionality reduction methods, time series models such as hidden Markov models which are used in speech recognition and bioinformatics, independent components analysis, hierarchical models, and nonlinear models.
You will need to choose a 15 credits from the Group 1 optional modules.
Optional Modules [Group 2] Term 1
COMPGI13 Advanced Topics in Machine Learning
To gain an understanding of the theory and applications of kernel methods, including:
- An overview of how kernel feature spaces can be constructed, including in infinite dimensions, and the smoothing properties of functions in these spaces.
- Simple and complex learning algorithms using kernels (ridge regression, kernel PCA, the support vector machine)
- Representations of probabilities in reproducing kernel Hilbert spaces. Statistical two-sample and independence tests, and learning algorithms using these embeddings (clustering, ICA)
To learn the fundamentals of statistical learning theory. In particular to:
- Understand what characterizes a learning problem and what it means for an algorithm/system/machine to “learn”.
- Understand the key role of regularization and the different approaches to use it efficiently in practice.
- Acquire familiarity with a variety of statistically consistent learning algorithms, both from modeling and practical perspectives.
COMPGI14 Machine Vision
The course addresses algorithms for automated computer vision. It focuses on building mathematical models of images and objects and using these to perform inference. Students will learn how to use these models to automatically find, segment and track objects in scenes, perform face recognition and build three-dimensional models from images.
At the end of the course, students will be able to understand and apply a series of probabilistic models of images and objects in machine vision systems. To understand the principles behind face recognition, segmentation, image parsing, super-resolution, object recognition, tracking and 3D model building.
COMPGI16 Approximate Inference and Learning in Probabilistic Models
The module will present the foundations of approximate inference and learning in probabilistic graphical models (e.g. Bayesian networks and Markov networks), with particular focus on models composed from conditional exponential family distributions. Both stochastic (Monte Carlo) methods and deterministic approximations will be covered. The methods will be discussed in relation to practical problems in real-world inference in Machine Learning, including problems in tracking and learning.
COMPGI19 Statistical Natural Language Processing
The course introduced the basics of statistical natural language processing (NLP) including both linguistics concepts such as morphology and syntax and machine learning techniques relevant for NLP.
Students successfully completing the module will understand relevant linguistic concepts; relevant ML techniques, what makes NLP challenging (and exciting), how to write programs that process language and how to rigorously formulate NLP tasks as learning and inference tasks, and address the computational challenges involved.
COMPGI23 Introduction to Deep learning
At the conclusion of this module students should understand:
- The fundamental principles, theory and approaches for learning with deep neural networks
- The main variants of deep learning (such convolutional and recurrent architectures), and their typical applications
- The key concepts, issues and practices when training and modeling with deep architectures; as well as have hands-on experience in using deep learning frameworks for this purpose
- How to implement basic versions of some of the core deep network algorithms (such as backpropagation)
- How deep learning fits within the context of other ML approaches and what learning tasks it is considered to be suited and not well suited to perform
Optional Modules [Group 2] Term 2
COMPGI09 Applied Machine Learning
This module aims to cover some of the issues that may arise in the practical application of machine learning in real-world problems. In addition, the course will cover some of the mathematics and techniques behind basic data analysis methods for both static and time-series data.
On completion of the module, students will have the ability to assess the effectiveness of solutions presented and to question them in an intelligent way; synthesise solutions to general open-ended problems covering material from the whole programme, tempered with information on commercial reality obtained from this course.
COMPGI15 Information Retrieval & Data Mining
The course is aimed at an entry level study of information retrieval and data mining techniques. It is about how to find relevant information and subsequently extract meaningful patterns out of it. While the basic theories and mathematical models of information retrieval and data mining are covered, the course is primarily focused on practical algorithms of textual document indexing, relevance ranking, web usage mining, text analytics, as well as their performance evaluations. Practical retrieval and data mining applications such as web search engines, personalisation and recommender systems, business intelligence, and fraud detection will also be covered.
Students are expected to master both the theoretical and practical aspects of information retrieval and data mining.
COMPGI22 Advanced Deep Learning and Reinforcement Learning
Students successfully completing the module should understand:
- The basics of deep learning and reinforcement learning paradigms.
- Architectures and optimization methods for deep neural network training.
- How to implement deep learning methods within a given ML framework and apply them to data.
- The theoretical foundations and algorithms of reinforcement learning.
- How to apply reinforcement learning algorithms to environments with complex dynamics.
You will need to choose a minimum of 30 and a maximum of 60 credits from the Group 2 optional modules.
Optional Modules [Group 3] Term 1
Optional Modules [Group 3] Term 2
You will need to choose 15 credits from the Group 3 optional modules.
Elective Modules Term 1
COMPGI07 Programming & Mathematical Methods for Machine Learning
The aims of the module are to provide a practical knowledge and understanding of the programming environments of Matlab and Mathematica. Knowledge of and proficiency in these languages/packages form an essential component of courses GI06 (Evolutionary Systems) and GI01 (Supervised Learning). The aim is also to introduce students to those elements of linear algebra which play an important role in machine learning and data analysis.
COMPGL01 Introduction to Logic, Semantics and Verification
The module aims to familiarize students with formal methods for reasoning about transition systems and programs.
COMPGX01 Robotic Systems Engineering
Students will gain an introductory overview of robotics and autonomous systems. Technically they will gain an understanding of the concepts and principles of ROS, the underpinning software development environment for robot systems, through a number of example applications, leading to the capability of using ROS for advanced robot control, navigation, sensing and verification.
COMPGX02 Robotic Control Theory and Systems
The aim of this module is to give students an insight into robotics and autonomous systems control theory and practice, specifically:
- Control loops. damping, feedback and stability analysis with a working understanding about how these are used for navigating a robot within an environment;
- Insight into developing a working prototype of a control system for a robot that solves a specific task.
STATG017 Stochastic Methods in Finance
Further syllabus information can be found here.
Elective Modules Term 2
COMPGI17 Affective Computing and Human-Robot Interaction
The module targets students who have no previous knowledge in cognitive science and emotion theory. The aim of Part 1 is to give a basic introduction to the theory of emotion from psychology and neuroscience viewpoints and to understand its importance in human decision and communication processes. Part 2 will concentrate on the application of machine learning techniques to emotion recognition by looking at current applications in entertainment, education, and health. Part 3 will focus on the challenges in designing robots that are capable of socially interacting with humans.
COMPGV08 Inverse Problems in Imaging
To introduce the concepts of optimisation, and appropriate mathematical and numerical tools applications in image processing and image reconstruction.
COMPGV17 Computational Modelling for Biomedical Imaging
This module aims to expose students to the challenges and potential of computational modelling in a key application area. It will explain how to use models to learn about the world; how to teach parameter estimation techniques through practical examples; and how to familiarize students with handling real data sets.
COMPGV19 Numerical Optimisation
The aim of this module is to provide the students with an overview of the optimisation landscape and a practical understanding of most popular optimisation techniques and an ability to apply these methods to problems they encounter in their studies e.g. MSc project/dissertation and later in their professional career.
COMPGX04 Robotic Vision and Navigation
Students will gain knowledge about robot navigation with specific focus on the use of vision as a primary sensor for mapping the environment. The module will provide students with an understanding and practical experience of recovering geometry from optical sensors and creating an environment map which a robot can use for navigation and motion planning.
STATG019 Selected Topics in Statistics
Taught by Statistics - see here for syllabus
STATG020 Stochastic Methods in Finance II
Taught by Statistics - see here for syllabus
You may choose up to 30 credits as elective modules.
A minimum of an upper second-class UK Bachelor's degree in a highly quantitative subject such as computer science, statistics, mathematics, electrical engineering or the physical sciences, or an overseas qualification of an equivalent standard. Relevant work experience may also be taken into account. Students must be comfortable with undergraduate-level mathematics; in particular it is essential that the candidate will have knowledge of statistics at an intermediate undergraduate level. Candidates should also be proficient in linear algebra and multivariable calculus.
English Language Requirements
If your education has not been conducted in the English language, you will be expected to demonstrate evidence of an adequate level of English proficiency.
The English language level for this programme is: Good
Further information can be found on our English language requirements page.
Country-specific information, including details of when UCL representatives are visiting your part of the world, can be obtained from the International Students website.
UK/EU fees (FT): £11,800 for 2017/18
Overseas fees (FT): £24,610 for 2017/18
UK/EU fees (FT): £12,950 for 2018/19
UK/EU fees (PT): N/A for 2018/19
Overseas fees (FT): £26,670 for 2018/19
Overseas fees (PT): N/A for 2018/19
For a comprehensive list of the funding opportunities available at UCL, including funding relevant to your nationality, please visit the Scholarship and Funding website.
Tuition Fee Deposit
This programme requires that applicants firmly accepting their offer pay a deposit. This allows UCL to effectively plan student numbers, as students are more demonstrably committed towards commencing their studies with us.
For full details about the UCL tuition fee deposit, please see the central UCL pages.
Tuition fee deposits within the Department of Computer Science are currently listed as:
|*where part-time is an available mode of study|
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Average starting salary £47,500 (Graduate Surveys, January 2015).
To apply now click here.
This MSc receives many more applications than it has places available and the admissions process is competitive. It may therefore take longer than the Admissions stated 6 weeks for a decision to be made and communicated. Applicants are advised to apply as early as possible due to the competition for places.
Those applying for scholarship funding (particularly overseas applicants) should take note of application deadlines.
Deadline 29th June 2018.