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Mathematical Software for the Nearest Correlation Matrix

Summary of the impact

Correlation matrices play a key role in financial modelling, but their empirical construction (based on the actual statistical data) may lead to negative variances, which can lead to complete failure of a model. Our research has resulted in algorithms for efficiently computing the unique nearest correlation matrix (NCM) that does not yield negative variances. The most direct impact is to Numerical Algorithms Group (NAG) Ltd, whose library sales and renewals have been increased by an estimated £250k following the inclusion of our NCM codes. Further impact is to NAG clients, including the Tier 1 Investment Banks, with at least six of the top ten [e.g., Credit Suisse and Morgan Stanley] known to be using the new NAG nearest correlation matrix codes, leading to improved reliability of their financial models.

Submitting Institution

University of Manchester

Unit of Assessment

Mathematical Sciences

Summary Impact Type

Technological

Research Subject Area(s)

Mathematical Sciences: Pure Mathematics, Numerical and Computational Mathematics
Information and Computing Sciences: Computation Theory and Mathematics

Synchronised Protection of Electrical Power Transmission Networks

Summary of the impact

Manchester research on differential protection, synchronised using the global positioning system (GPS), has opened up a radically new approach to protection and integrity of electrical transmission networks. The research has led to updating of international technical guides and international standards. In the UK, National Grid has implemented policies based on the research, which will save about £0.5m per annum in substation upgrade costs. The market for GPS synchronised differential protection products is £400m pa globally. This figure represents the "insurance premium" against the avoided cost of a power system failure, estimated in a report on the North-East USA blackout to be $6bn in economic cost and 11 directly attributable deaths.

Submitting Institution

University of Manchester

Unit of Assessment

Electrical and Electronic Engineering, Metallurgy and Materials

Summary Impact Type

Economic

Research Subject Area(s)

Information and Computing Sciences: Information Systems
Engineering: Electrical and Electronic Engineering, Geomatic Engineering

Active Shape and Appearance Models

Summary of the impact

Our research on Active Shape Models (ASMs) and Active Appearance Models (AAMs) opened up a radically new approach to automated image interpretation, with applications in industrial inspection, medical image analysis, and face tracking/recognition. We identify:

  • direct economic impacts of at least $20m pa, with much larger indirect impacts;
  • healthcare impacts in non-invasive cardiac monitoring, accurate detection of growth deficit, and more efficient drug trials; and
  • cultural impacts in cinema and computer games.

Submitting Institution

University of Manchester

Unit of Assessment

Computer Science and Informatics

Summary Impact Type

Technological

Research Subject Area(s)

Information and Computing Sciences: Artificial Intelligence and Image Processing

UK Reactors Safety and Life Extension

Summary of the impact

About 18% of UK electric supply is provided by 14 graphite-moderated Advanced Gas-cooled Reactors (AGRs) and 1 Pressurised Water Reactor (PWR). The AGRs are graphite-moderated, generic in design and the nuclear regulator is concerned that a common safety related fault could lead to immediately shutdown of all AGRs. The development of novel techniques at Manchester has allowed the continued operation helping the operators to establish an expected seven-year life extensions for all AGRs. For the plant operators this represents a potential income of £2.5bn per annum, avoid 30m tonnes CO2 pa and generate supply chain income within the UK of £650m pa and create or protect 2000 jobs.

Submitting Institution

University of Manchester

Unit of Assessment

Aeronautical, Mechanical, Chemical and Manufacturing Engineering

Summary Impact Type

Economic

Research Subject Area(s)

Engineering: Materials Engineering

Providing healthcare training and increasing public awareness of neglected tropical diseases via national and international engagement activities

Summary of the impact

WHO estimates that 600 million school-age children need deworming treatment and preventive intervention.

The University of Manchester (UoM) Immunology Group delivered an educational programme on the immune response and biology of parasitic worm infections in areas where worm infections are most prevalent, including Uganda and Pakistan, and with UK immigrant communities.

International benefits include health worker and educator training, which is critical for improving the understanding of worm infection and distribution of health education messages to endemic communities. Nationwide engagement activities provided immigrant communities and school pupils with improved awareness of global health issues and a greater understanding of immunology, and have inspired some participants to pursue careers in science.

Submitting Institution

University of Manchester

Unit of Assessment

Biological Sciences

Summary Impact Type

Health

Research Subject Area(s)

Medical and Health Sciences: Immunology

ICARUS – Interactive Construction of 3D Models from Digital Images

Summary of the impact

In the late 1990s, a significant barrier to the adoption of virtual reality software was the expense of manually creating models of real-world scenes. To address this, between 1998 and 2004, the ICARUS software system was developed, which enabled the creation of structured, 3D geometric models from a sequence of images or video. The system also pioneered improved methods of camera tracking. ICARUS was subsequently licensed and developed commercially, and became the foundation for video and film post-production products that are used worldwide in the film (e.g. Universal Pictures, Warner Bros, Paramount Pictures) and television (e.g. BBC) industries, underpinning a company with an annual turnover in excess of £1m.

Submitting Institution

University of Manchester

Unit of Assessment

Computer Science and Informatics

Summary Impact Type

Technological

Research Subject Area(s)

Information and Computing Sciences: Artificial Intelligence and Image Processing

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