Funded PhD Opportunity Adaptive learning for modelling non-stationary systems

This opportunity is now closed.

Subject: Computer Science and Informatics



Real-world environments in today’s highly interconnected digital world are often non-stationary. Learning systems such as classifiers used for pattern recognition, make the stationarity assumption in input data distribution density during training and operation phases. Their field performance may become unsatisfactory and therefore such learning systems may have limited practical use.   A very good example of a non-stationary environment is an magnetoencephalography and electroencephalography (M/EEG) based brain-computer interface (BCI) in which a communication link is established between a computer and the user through a process involving thinking/imagining a set of cognitive tasks.

In this, a classifier is used to detect the electrophysiological correlates, resulting from the cognitive tasks performed by the user [1-4]. The non-stationary characteristics of M/EEG has been one of the primary impediments in developing a practically useful BCI, despite decades of R&D work. In fact prevalence of such non-stationary systems is wide-spread, e.g., autonomous robots, share price trend predictions, spam filtering, surveillance, and bioinformatics. In all these areas, a learning system devised under the assumption of input data distribution invariance results in suboptimal performance while the system is being used either as a classifier or a predictive model.

There is thus an urgent need of developing reliable techniques for monitoring, predicting, categorising and often controlling non-stationary systems’ characteristics in real-world systems.

Research Program:

To account for EEG non-stationarities appearing as covariate shifts, we have recently developed a covariate shift detection and adaptation methodology using an Exponentially Weighted Moving Average (EWMA) modelling strategy and successfully applied in a motor imagery based BCI [1-4]. Advancing this work further, this project aims to investigate how characteristics of non-stationary systems be effectively learned on-line in the absence of manual labelling of the streaming data.

It will involve investigating a range of approaches applied in multiple applications in a collaborative way. It may involve developing techniques for learning from the changes in inputs alone, possibly transductively based on the previous data; devising adaptation strategies that can make effective use of the available information to extract knowledge about the system variability and also making continuous update to account for the new information without forgetting already learnt information possibly using prediction error minimisation (PEM) based active inferencing and Bayesian belief propagation approach.


  1. Raza,    Rathee,  Zhouc, Cecotti & Prasad (2018). Covariate Shift Estimation based Adaptive Ensemble Learning for Handling Non-Stationarity in Motor Imagery related EEG-based Brain-Computer Interface. Neurocomputing,
  2. Chowdhary, Raza, Meena, Dutta & Prasad (2017). Online Covariate Shift Detection based Adaptive Brain-Computer Interface to Trigger Hand Exoskeleton Feedback for Neuro-Rehabilitation. IEEE Transactions on Cognitive and Developmental Systems, PP. DOI: 10.1109/TCDS.2017.2787040.
  3. Raza, Cecotti, Li & Prasad (2015). Adaptive Learning with Covariate Shift-Detection for Motor Imagery based Brain-Computer Interface. Soft Computing, 18p,
  4. Raza, Prasad, & Li, (2015). EWMA Model based Shift-Detection Methods for Detecting Covariate Shifts in Non-Stationary Environments. Pattern Recognition, 48 (3). pp. 659-669.
  5. Friston, FitzGerald, Rigoli, Schwartenbeck & Pezzulo (2017). Active inference: A process theory.  Neural Computation, 29(1):1–49, 2017.

Essential Criteria

  • Upper Second Class Honours (2:1) Degree or equivalent from a UK institution (or overseas award deemed to be equivalent via UK NARIC)
  • Experience using research methods or other approaches relevant to the subject domain

Desirable Criteria

If the University receives a large number of applicants for the project, the following desirable criteria may be applied to shortlist applicants for interview.

  • First Class Honours (1st) Degree
  • Masters at 70%
  • For VCRS Awards, Masters at 75%
  • Publications - peer-reviewed


    Vice Chancellors Research Scholarships (VCRS)

    The scholarships will cover tuition fees and a maintenance award of £15,009 per annum for three years (subject to satisfactory academic performance). Applications are invited from UK, European Union and overseas students.


    The scholarship will cover tuition fees at the Home rate and a maintenance allowance of £15,009 per annum for three years. EU applicants will only be eligible for the fees component of the studentship (no maintenance award is provided).  For Non EU nationals the candidate must be "settled" in the UK.

Other information

The Doctoral College at Ulster University

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Key Dates

Submission Deadline
Monday 18 February 2019
Interview Date
19-20 March 2019


Magee campus

Magee campus
A key player in the economy of the north west

Contact Supervisor

Professor Girijesh Prasad

Other Supervisors

Apply online

Visit and quote reference number #344725 when applying for this PhD opportunity