Mathematics Fully Funded EPSRC and Swansea University PhD Scholarship: Reconstruction of Mixed-up Messages

20 Nov 2023
Job Info

Organisation/Firm

Swansea College

Division

Central

Analysis Discipline

Arithmetic » Different

Researcher Profile

First Stage Researcher (R1)

Nation

United Kingdom

Utility Deadline

26 Jan 2024 – 23:59 (Europe/London)

Sort of Contract

Different

Job Standing

Full-time

Hours Per Week

35

Supply Beginning Date

1 Oct 2024

Is the job funded via the EU Analysis Framework Programme?

Not funded by an EU programme

Is the Job associated to employees place inside a Analysis Infrastructure?

No

Supply Description

Arithmetic: Totally Funded EPSRC and Swansea College PhD Scholarship: Reconstruction of Combined-up Messages

A well-known downside in chance, info concept and theoretical pc science is the next: An extended message over a finite alphabet is shipped by way of an info channel. Now suppose that the message that arrives on the receiver shouldn’t be the unique one, however a randomly corrupted model. Suppose additional that the receiver is aware of the random mechanism corrupting the message. Now the query is: Can the receiver get well the unique message?

To formulate this mathematically, suppose that to every integer quantity a letter from the finite alphabet is assigned and a easy random stroll runs on the integers. At every time t it registers the letter it observes at its present place. This produces a brand new random sequence of letters. Now the query is: Can the unique message be reconstructed with chance one from this newly created random sequence? Usually, it can’t, however underneath applicable restrictions, it will probably. Lindenstrauss (1999) confirmed that there are messages which can’t be reconstructed. Nonetheless, it’s recognized that just about certainly a “typical” message, drawn at random in accordance with a given distribution, will be reconstructed (presumably as much as shift and/or reflection).

A pure extension of this downside is to contemplate it in larger dimensions. Within the proposed mission we would like focus dimension two, which is a crucial case, and perceive underneath which situations a finite piece of the message will be reconstructed in polynomial time (polynomial in relation to the dimensions of the piece reconstructed). As well as, we purpose to offer a concrete algorithm that achieves this reconstruction with out utilizing supercomputers and quantum computer systems.

Necessities

Analysis Discipline

Arithmetic » Different

Training Degree

Bachelor Diploma or equal

Abilities/{Qualifications}

Candidates should maintain an Higher Second Class (2.1) honours diploma or an applicable grasp’s diploma with a minimal general grade at ‘Advantage’ in a intently associated self-discipline. 

Particular Necessities

Please word that you could be must present proof of your English Language proficiency. 

English Language: IELTS 6.0 Total (with no particular person part under 5.5) or Swansea College recognised equal.

The candidate is anticipated to have a robust mathematical background. Computational and programming abilities in a number of programming languages corresponding to Python or Matlab are most popular. Sturdy interpersonal abilities and the capability to work and study independently will probably be required.

This scholarship is open to candidates of any nationality.

EPSRC funded studentships can be found to house and worldwide college students. As much as 30% of our cohort can comprise worldwide college students, as soon as the restrict has been reached, we’re unable to make presents to worldwide college students.  

We’re nonetheless accepting purposes from worldwide candidates.   

Further Info
Advantages

This scholarship covers the complete value of tuition charges and an annual stipend at UKRI price (at present £18,622 for 2023/24).

Further analysis bills may also be obtainable.

Eligibility standards

Candidates should maintain an Higher Second Class (2.1) honours diploma or an applicable grasp’s diploma with a minimal general grade at ‘Advantage’ in a intently associated self-discipline. Please word that you could be must present proof of your English Language proficiency. 

English Language: IELTS 6.0 Total (with no particular person part under 5.5) or Swansea College recognised equal. 

The candidate is anticipated to have a robust mathematical background. Computational and programming abilities in a number of programming languages corresponding to Python or Matlab are most popular. Sturdy interpersonal abilities and the capability to work and study independently will probably be required.

This scholarship is open to candidates of any nationality.

EPSRC funded studentships can be found to house and worldwide college students. As much as 30% of our cohort can comprise worldwide college students, as soon as the restrict has been reached, we’re unable to make presents to worldwide college students.  

We’re nonetheless accepting purposes from worldwide candidates.   

Choice course of

Please see our web site for extra info.

Web site for added job particulars

https://www.swansea.ac.uk/postgraduate/scholarships/analysis/mathematics-epsrc-…

Work Location(s)

Variety of presents obtainable

1

Firm/Institute

Swansea College

Nation

United Kingdom

Metropolis

Swansea

Postal Code

SA2 8PP

Geofield

The place to use

Web site

https://www.swansea.ac.uk/postgraduate/scholarships/analysis/mathematics-epsrc-…

Contact

Metropolis

Swansea

Web site

https://www.swansea.ac.uk/postgraduate/scholarships/analysis/mathematics-epsrc-su-phd-reconstruction-2024-rs458.php?utm_source=euraxess&utm_medium=scholarship&utm_campaign=postgraduate24&utm_content=pgr

Avenue

Singleton Park

Postal Code

SA28PP

E-Mail

[email protected]

STATUS: EXPIRED