Generative models with diffusions


   Mathematics

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  Dr Xiaochuan Yang  Applications accepted all year round  Self-Funded PhD Students Only

About the Project

One of the power engines behind synthetic data generation in AI is diffusion models, aka, stochastic differential equations. A success story that draws a lot of public attention recently is the generation of high-resolution images from text prompts, e.g. stable diffusion and DALLE-2, which have achieved amazing results. The objective of this project is twofold. First, we aim to explore the application of diffusion models to generation of other data types, e.g. network data. One use case of this extension is drug discovery. Second, we aim to analyse the mathematical properties of diffusion models for various data structures.

You should have a background in Probability and Statistics. It would be advantageous to have experience in Programming (language agnostic). You should be a highly motivated individual and possess a strong sense of curiosity. The ability to study independently, think critically and collaborate with others is essential.

Research journey

Doctoral research programmes (PhDs) take a proud place in the world-class research environment and community at Brunel. PhD students are recognised and valued by their supervisors as an essential part of their departments and a key component of the university's overall strategy to develop and deliver world-class research.

A PhD programme is expected to take 3 years full-time or 6 years part-time, with intakes starting in January, April or October.

The general University entrance requirement for registration for a research degree is normally a First or Upper Second Class Honours degree (1st or 2:1) or an international equivalent. A Masters degree is a welcome, but not required, qualification for entry.

Find out how to apply for a PhD at Brunel

Research support

Excellent research support and training

The Graduate School provides a range of personal, professional and career development opportunities. This includes workshops, online training, coaching and events, to enable you to enhance your professional profile, refine your skills, and plan your next career steps as part of the Researcher Development Programme. The researcher development programme (RDP) offers workshops and seminars in a range of areas including progression, research management, research dissemination, and careers and personal development. You will also be offered a number of online, self-study courses on BBL, including Research Integrity, Research Skills Toolkit, Research Methods in Literature Review and Principles of Research Methods.

Library services

Brunel's Library is open 24 hours a day, has 400,000 books and 250,000 ebooks, and an annual budget of almost £2m. Subject information Specialists train students in the latest technology, digital literacy, and digital dissemination of scholarly outputs. As well as the physical resources available in the Library, we also provide access to a wealth of electronic resources. These include databases, journals and e-books. Access to these resources has been bought by the Library through subscription and is limited to current staff and students. 

Dedicated research support staff provide guidance and training on open access, research data management, copyright and other research integrity issues.

Find out more: Brunel Library

Careers support

You will receive tailored careers support during your PhD and for up to three years after you complete your research at Brunel. We encourage you to actively engage in career planning and managing your personal development right from the start of your research, even (or perhaps especially) if you don't yet have a career path in mind. Our careers provision includes online information and advice, one-to-one consultations and a range of events and workshops. The Professional Development Centre runs a varied programme of careers events throughout the academic year. These include industry insight sessions, recruitment fairs, employer pop-ups and skills workshops.


Mathematics (25)

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 About the Project