Unprecedented rate of urbanization constitutes substantial risks to the resilience of cities, with public health and welfare being the most critical concern. This includes the emergence of (non-)communicable disease epidemics due to environment contamination and lifestyle factors. To increase the sustainability of cities, there is a critical need for an early warning system (EWS) for public & environmental health diagnostics that operates on a large scale and in real time. Rapid urbanisation and the young, growing population of Africa are also linked with rapid digitisation and an unprecedented up-take of new technology. This presents a unique opportunity for the development of a digital technology-based, comprehensive and real time EWS that is attuned to public and environmental health risks in rapidly changing Africa. We propose to build a network aiming to develop a public & environmental health diagnostics and hazard forecasting platform in Africa via urban environment fingerprinting underpinned by digital innovation. EDGE-I will develop a conceptual model (and a prototype in EDGE-II) of an environment fingerprinting platform for hazard forecasting and EWS using DIGITAL INNOVATION and state-of-the-art bioanalytical, socioeconomic, statistical & modelling tools. The digital innovation will be focused on the use of Internet of Things (IoT) enabled sensors and cloud computing as a plat-form for capturing, storing, processing, and presenting a wide range of environmental measures to a broad group of stakeholders. EDGE will focus on two key thematic areas of critical importance to rapidly growing and urbanising Africa: (1) Water, sanitation & public health: as a vector for infectious disease spread and environmental AMR. (2) Urbanization & pollution: as a vector for environmental degradation and non-communicable disease. EDGE postulates that the measurement of endo- and exogenous environment & human derived residues continuously and anonymously pooled by the receiving environment (sewage, rivers, soils and air), can provide near real-time dynamic information about the quantity and type of physical, biological or chemical stressor to which the surveyed system is exposed, and can profile the effects of this exposure. It can therefore provide anonymised, comprehensive and objective information on the health status of urban dwellers and surrounding environments in real time, as urban environment continuously pools anonymous urine, wastewater and runoff samples from thousands of urban dwellings. EDGE-I will focus on building a concept of a prototype of EWS in two geographically and socioeconomically contrasting areas in Africa: Lagos (Nigeria), Cape Town (South Africa). The young and growing population of Africa that is rapidly up-taking digital innovation provides a unique opportunity for building a system underpinned by digital channels to provide long and lasting impacts. To achieve above EDGE-I will: 1 Develop a transdisciplinary and cross-sectoral network focussed on building EWS in Africa 2 Develop a conceptual model of an EWS in Afri-ca underpinned by digital innovation in techno-logical solutions and Citizen Science 3 Engage with stakeholders: from citizens, through government to digital tech industry E DGE-I will catalyse the development of a large-scale research programme (EDGE-II).

We live in the "Era of Mathematics" (UKRI, 2018), in which mathematics research has deep and widespread impact. Medical imaging is enhanced using the theory of inverse problems. Predicting sewage contamination in waterways after storms requires solving complicated systems of hydrodynamic equations. Machine learning tools are revolutionising data-intensive computing and, handled with proper mathematical care, have vast potential benefits for science and society. These are examples of the ongoing explosion in mathematical innovation driving, and being driven by, the analysis and modelling of data running through every aspect of life. Cutting-edge research now sits at the interface of data science and mathematical modelling. Methods and fields such as compressed sensing, stochastic optimisation, neural networks, Bayesian hierarchical models - to name but a few - have become interwoven and contributed to the delivery of a new domain of research. We refer to this research interface as "statistical applied mathematics". Established in 2014, the Centre for Doctoral Training in Statistical Applied Mathematics at Bath (SAMBa, samba.ac.uk) delivers leading research and training in this space. In the development of this bid, we have consulted widely with academic, industrial, and governmental partners, who consistently report a large and widening gap between demand and supply for highly skilled graduates. Our vision is to create a new generation of statistical applied mathematicians ready to lead high-impact, data-driven, mathematically-robust research in academia and industry. We will nurture a vibrant culture of cohort learning, enabling internationally-leading training in modern mathematical data science. A particularly important research focus will be the synthesis of data-driven methods with robust mathematical modelling frameworks. Tomorrow's industrial mathematicians and statisticians must understand when machine learning tools are (and are not) appropriate to use and be able to conduct the underpinning research to improve these tools by integrating scientific domain knowledge. This research challenge is informed by deep partnerships with a range of industry and government bodies. Our long-term partners such as BT, Syngenta, Novartis, the NHS, and the Environment Agency co-create our vision and our training. They are emphatic that we must address the urgent need for mathematical data science talent in this key strategic area for the UK economy. Many of our students will work directly on industry challenges during their PhD either in their core research or with internships. Our unique Integrative Think Tanks are the key mechanism for exploring new research ideas with industry. These are week-long events where SAMBa students, leading academics, and partners work together on industrial and societal problems. SAMBa graduates will be able to develop and apply new ideas and methods to harness the power of data to tackle challenges affecting society, the economy, and the environment. Our students will move into academia, providing sustainability to the UK's capacity in this field, as well as industry and government, providing impact through societal benefits and driving economic growth. Many alumni now hold permanent positions at leading UK universities and senior positions in a range of businesses. The CDT will be embedded within the University of Bath's Department of Mathematical Sciences, where 98% of the research is world leading or internationally excellent (REF2021). The CDT is supported by 58 academics in maths, with similar numbers of co-supervisors from industry and other departments. The centre will be co-delivered with 22 industry and government partners. A vital international perspective is provided by a worldwide network of 11 academic institutions sharing our scientific vision.

Digital Health technologies can make a positive difference to the outcomes of patient treatment, management and care. Improving digital services and the sharing and use of data will also save time and resources so that staff can better focus on delivering medical and social care. Examples of such technologies include data collected through smartphones. For example, the ZOE COVID Symptom Study App used during the pandemic was jointly developed by King's College London, and now has more than four million users. Other digital technologies include wearable devices which can help monitor heart rate, activity and sleep and remotely assess and help manage a wide range of conditions. For example, the £23M Innovative Medicines Initiative RADAR-CNS led by King's has pioneered their use in depression, multiple sclerosis and epilepsy. Our aim is to enable the development of new digital technologies and reduce the time it takes for these to benefit patient care. The King's Health Partner (KHP) Digital Health Hub will do this by helping researchers, health and social care staff, patients and industry to work together better. We also hope to increase the availability of such technologies nationally by offering support to enable new businesses to grow rapidly, thereby making a more immediate difference to patients' lives. Digital health technologies have lots of potential but their widespread use is limited by: - A lack of examples of how clinicians, academics, engineers, quality assurance experts, health economists, patients and end users can best work together during development - Specific gaps in training and knowledge amongst the different groups, for example: - Academic and industry technologists may have trouble understanding NHS systems and fail to engage with the end users of the technologies they are trying to develop, such as health care providers, patients and carers. They may not know about or understand the complex regulatory pathway which needs to be followed before such technologies can be used in clinical practice. - Clinical specialists may lack the appropriate technical skills such as data analyses, coding and programming languages to help them develop digital applications they think will be helpful to their patients. The KHP Digital Health Hub will help to overcome the barriers to the rapid development and use of digital technologies nationally. It will be an accessible "ecosystem" comprising specialists from different sectors working together to improve understanding and use of digital technologies and addressing the government's long-term goals for health and social care. With our partners, we will connect the digital health research community to the substantial opportunities for investment in London and our diverse and world leading healthcare research environment. We have brought together a wealth of expertise from across KHP, including King's College London and partner NHS Trusts, patients and industry collaborators, to provide support and training, and create opportunities for the acceleration of digital health across the UK. KHP includes seven mental health and physical healthcare hospitals and many community sites with ~4.8 million patient contacts each year and a combined annual turnover of more than £3.7 billion. The KHP Digital Health Hub will provide: - proven expertise, infrastructure and experience of co-creation and commercialisation - a three-way clinical, academic and industry partnership - a physical location where technology developers can work collaboratively, and - an excellent track record in training which will be offered to all our partners across the health and social care sectors. With the right support and networks in place, digital health technologies have the power to transform patient care and experiences across the UK. The knowledge and expertise is all there, and together we can make sure it is shared, translated and built upon, at every step of the way.

AI and Machine Learning often address challenges that are relatively monolithic in nature: determine the safest route for an autonomous car; translate a document from English to French; analyse a medical image to detect a cancer; answer questions about a difficult topic. These kinds of challenge are very important and worthwhile targets for AI research. However, an alternative set of challenges exist that are more *collective* in nature and that unfold in *real time*: - help minimise the impact of a pandemic sweeping through a population of people by informing the coordination of local and national testing, social distancing and vaccination interventions; - predict and then monitor the extent and severity of an extreme weather event using multiple real-time physical and social data streams; - anticipate and prevent a stock market crash caused by the interactions between many automated trading agents each following its own trading algorithm; - derive city-wide patterns of changing mobility from high-frequency time series data and use these patterns to drive city planning decisions that maximise liveability and sustainability in the future city; - assist populations of people with type 2 diabetes to avoid acute episodes and hospitalisation by identifying patterns in their pooled disease trajectories while preserving their privacy and anonymity. Developing AI systems for these types of problem presents unique challenges: extracting reliable and informative patterns from multiple overlapping and interacting data streams; identifying and controlling for inherent biases within the data; determining the local interventions that can allow smart agents to influence collective systems in a positive way; developing privacy preserving machine learning and advancing ethical best practices for collective AI; embedding novel machine learning and AI in portals, devices and tools that can be used transparently and successfully by different types of user. The AI for Collective Intelligence (AI4CI) Hub will address these challenges for AI in the context of critically important real world use cases (cities, pandemics, health care, environment and finance) working with key stakeholder partners from each sector. In addition to significantly advancing applied AI research for collective intelligence, the AI4CI Hub will also work to build *community* in this research area, linking together academic research groups across the UK with each other and with key industry, government and public sector organisations, and to build *capability* by developing and releasing open access training materials, tools, demonstrator systems and best practice guidance, and by supporting the career development of early and mid-career researchers both within academia and beyond. The AI for Collective Intelligence Hub will be a centre of gravity for a nation-wide research effort applying new AI to collective systems.

The LEAP Digital Health Hub is a partnership of the South West's leading Universities, more than 20 supporting companies nationally, many NHS Trusts & Health Boards, 4 social care organisations, the region's Local Authorities, the West of England Academic Health Science Network (AHSN), the award-winning business incubator SETsquared and Health Data Research UK (HDRUK). The 50+ partners that shaped this bid ranged from the research director for a provider of residential care homes, to a chief clinical information officer working in an intensive care unit; from the founder of a femtech startup to the head of the healthcare analytics team for a multinational consulting firm. In workshops through June and July 2022 they told us that Digital Health is as much about design and user experience as health data analysis; it is motivated by patient benefit but must also consider viable business models for industry. All Hub partners will have access to dedicated physical office space in central Bristol alongside the EPSRC Centre for Doctoral Training (CDT) in Digital Health and Care. There, they will train, network and research together across disciplines and sectors. They will engage with partners across the UK- and beyond. Recognising that UK breakthroughs in Digital Health may be equally (or more) impactful abroad, the Hub's new "Global Digital Health Network" links the Hub to Digital Health expertise from the US, China, India, Nigeria and Australia (sections B1.2, B5). The Hub's unique Skills and Knowledge Programme is designed to address the professional training needs of industry, health and social care providers and academia within the two Themes of Transforming Health & Care Beyond the Hospital and Optimising Disease Prediction, Diagnosis & Intervention. This is proposed to be the world's largest Digital Health taught programme. The Hub's Fellowship programme will comprise 5 different schemes to develop future leaders, within not only academia, industry and the health/care sector, but also within the community - as patients or informal carers. The Hub's Research programme focusses on pre-competitive research within the Hub's two thematic areas of Transforming Health and Care Beyond the Hospital and Optimising Disease Prediction, Diagnosis and Intervention. The Hub will add value by surfacing health priorities from its partner health and social care organisations, working with the West of England AHSN and also with Hub members such as Chief Nursing Information Officers, with charities, social care providers, patient and community groups.