Keywords: vector space embeddings, statistical relational learning, neural 
networks, explainable AI
Duration: 24 months
Start date: 1 January 2018 (or as soon as possible thereafter)
Closing date: 2 November 2017

Applications are invited for two postdoctoral research posts at Cardiff 
University’s School of Computer Science & Informatics in the context of Steven 
Schockaert's FLEXILOG project, which is funded by the European Research Council 
(ERC). The overall aims of this project are (i) to learn interpretable vector 
space representations of entities and their relationships, and (ii) to exploit 
these vector space representations for various forms of flexible reasoning 
with, and learning from structured data. More information about FLEXILOG can be 
found on the project website: http://www.cs.cf.ac.uk/flexilog/

The aim of these positions will be to contribute to one or more of the 
following topics.

1) Learning structured event embeddings. In contrast to existing approaches, 
the learned embeddings will explicitly model which entities participate in the 
events, how they are related, and how their relationships are affected by 
different events. This will require combining ideas from neural network models 
for event embedding (e.g. based on LSTMs) with cognitively inspired 
representations (e.g. based on the theory of conceptual spaces). Among others, 
the resulting model will allow us to uncover more intricate causal 
relationships, to generate supporting explanations for causal predictions, to 
incorporate prior knowledge, and to transfer learned knowledge between domains.

2) Combining statistical relational learning with vector space models of 
commonsense reasoning. Low-dimensional vector space representations can be used 
to identify plausible formulas that are missing from a given knowledge base, 
intuitively by applying a kind of similarity or analogy based reasoning. 
Statistical relational learning (SRL) can also be used to infer plausible 
formulas, but instead relies on modelling statistical dependencies among 
relational facts at the symbolic level. Unifying both methodologies will allow 
us to develop powerful inference methods that combine their complementary 
strengths, enabling interpretable and robust plausible reasoning from sparse 
relational data.

3) Geometric representations of logical theories. Most vector space models for 
knowledge base completion simply represent entities, attributes and relations 
as vectors. In many domains, however, plausible inferences rely on complex 
dependencies that cannot be captured by such representations. As an 
alternative, we will develop methods in which predicates are represented as 
regions, and logical formulas correspond to qualitative constraints on the 
spatial configurations of these regions. This model will support more complex 
inferences than existing approaches, will allow us to exploit existing domain 
knowledge when learning vector space representations, and will conversely allow 
us derive approximate logical theories from a learned embedding.

Cardiff University is a member of the Russell Group of research universities, 
and was ranked 5th in the UK based on the quality of research in the 2014 
Research Evaluation Framework. The university has a successful School of 
Computer Science & Informatics with an international reputation for its 
teaching and research activities. Cardiff is a strong and vibrant capital city 
with good transportation links and an excellent range of housing available.

For more details about the positions, please contact Steven Schockaert 
([email protected]<mailto:[email protected]>). For 
instructions on how to apply, please go to 
www.cardiff.ac.uk/jobs<http://www.cardiff.ac.uk/jobs> and search for job 
6522BR. Please note the requirement to evidence all essential criteria in the 
supporting statement.
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