Fully funded PhD positions on Knowledge Representation for Learning and 
Uncertainty (University of Edinburgh)

Short link: http://bit.ly/2f4tYS5

Application deadline: 9 December 2016 (**see below for more information**)

The overall goal of these projects is to develop new methods and formal 
languages that can effectively bridge the areas of knowledge representation, 
probabilistic reasoning and machine learning. Formal languages and symbolic 
techniques have a long and distinguished history in AI, and have widely 
impacted many scientific and commercial endeavors in diverse areas such as 
verification, robotics, planning, logistics and human-level commonsense 
reasoning. However, many of the applications in these areas often need to 
handle inherent uncertainty, complemented by an increased prominence of 
data-oriented algorithms and statistical techniques. From a foundational 
perspective, the question of how knowledge representation languages need to be 
augmented to handle these complex notions of uncertainty is an open and 
challenging one. From a practical perspective, enriching existing machine 
learning algorithms by human-readable representations and background knowledge 
can be very useful.

Sample PhD projects include:

- First-order logic has enormous expressive power to represent things like 
objects, relations, dependencies, hierarchies and temporal assertions. Advances 
in robotics and machine learning, in contrast, learn features of the world 
using probabilistic graphical models. An exciting new trend in AI is to 
investigate languages (e.g., relational graphical models) and methods (e.g., 
model counting) that combine the best of both worlds. In this context, 
motivated by vision and language models, where a system encounters new unknown 
objects on the fly and is plagued by numerical and qualitative uncertainty, the 
research project aims to push the representational expressiveness and 
algorithms of existing models to handle unbounded domains, identity 
uncertainty, and so on.

- Research in first-order logic for dynamical systems has to led to a large 
body of work on high-level programming languages. Building on an ontology of 
physical and sensing actions, these languages are interpreted with respect to a 
first-order logical database. To be able to apply these languages to robots, 
where sensors are typically noisy, the natural question then is: how can the 
characterization of the actions and background knowledge incorporate stochastic 
uncertainty? What is the relation between such enriched languages and 
probabilistic programming, and probabilistic computation, more generally? This 
line of work can be seen to contribute to verifiable behaviors for robotics.

- Automated planning is a major endeavor in AI, where we seek to synthesize a 
sequence of actions to enable goal conditions. A recent effort in automated 
planning considers the synthesis of plans with rich control structures such as 
loops and branches. To be able to apply these languages to robots, as above, 
what are the algorithms needed to reason about stochastic uncertainty while 
synthesizing such plans?

- A number of more specialized topics on the investigation of symbolic 
techniques for machine learning and numerical optimization, and the application 
of state-of-the-art constraint solving technology for stochastic uncertainty, 
are also possible.

These positions are an opportunity to combine cutting edge research at the 
intersection of knowledge representation and machine learning.

We envision the application of these methods to challenging problems arising in 
logistics, planning, robotics and commonsense reasoning.

Background Required

The project is suitable for a student with a top MSc or first-class bachelor's 
degree in computer science, mathematical logic, statistics, physics, or a 
related numerate discipline.

Previous coursework or experience in machine learning and mathematical 
logic/knowledge representation is desirable, although we do not expect students 
to have both of these.

We envision the development of new software tools that demonstrate the 
languages and methods involved, and the application of these methods to 
challenging problems arising in logistics, planning, robotics and/or 
commonsense reasoning. Therefore, a programming background is desirable.

Why Edinburgh

The School of Informatics at the University of Edinburgh has one of the largest 
concentrations of computer science research in Europe, with over 100 faculty 
members and 275 PhD students. The school is particularly strong in the research 
area of artificial intelligence. Our strength in these areas have been 
recognized by award of EPSRC Centre for Doctoral Training in Data Science. The 
University of Edinburgh is one of the founding partners of the Alan Turing 
Institute, the UK's national research institute for data science.

Funding Information

The scholarship consists of an annual bursary up to a maximum of three years. 
Overseas applicants are advised to apply before the standard informatics 
deadlines and apply for other scholarships. See 
http://www.ed.ac.uk/schools-departments/informatics/postgraduate/fees  and 
http://www.ed.ac.uk/informatics/postgraduate/apply/key-dates.

Applicants can also consider applying for a combined MSc + PhD programme in our 
centre for doctoral training in Data Science and/or Robotics

and Autonomous Systems; see http://datascience.inf.ed.ac.uk and 
http://www.edinburgh-robotics.org

Application Information

For informal enquiries about the positions, please contact Vaishak Belle 
<vais...@ed.ac.uk>. Formal application must be through the School's normal PhD 
application process: 
http://www.ed.ac.uk/studying/postgraduate/degrees/index.php?r=site/view&id=494

For more information on CISA, see http://web.inf.ed.ac.uk/cisa/study-with-us

For full consideration, please apply by Dec 9, 2016.

Vaishak
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