RCaz/eu-funding-proposals-sft huggingface dataset:
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Draft an executive summary for the EU project 'Complex geometry and Bergman kernel asymptotics for line bundles' (2002-2006) targeting Sixth Framework.

assistant: **Abstract**

In complex analysis and geometry it is vital to be able to construct many holomorphic sections of a given line bundle over a complex manifold. A line bundle has curvature and it is well known that positive curvature is very favourable. This project will focus on two specific problems that can be summarized as constructing and quot; many and quot; holomorphic sections in two new important situations where previous techniques have not been successful: 1. The curvature of the line bundle is positive, but the curvature has complicated singularities. 2. The curvature is smooth and positive, but the manifold X has a boundary with negative curvature.The main method for both problems will be to obtain Morse inequalities that estimate the obstructions to construct holomorphic sections (they estimate the dimensions of cohomology groups with values in high powers of the line bundle). In my PhD thesis a new approach to such inequalities was introduced. It used Bergman kernels and will be further developed in this project. While my work up to now has been purely analytical and concerned with smooth curvature Prof. Demailly and his group at the host institute are leading experts on the theory of positive currents, its use in the study of singular curvature and the combination analysis/algebra in complex geometry.The main training objectives are to enable me to:(a) acquire new expertise concerning currents(b) become acquainted with their numerous recent applications in complex and algebraic geometry(c) apply microlocal analysis in complex geometry.This training will ideally complement my expertise and guide my future research into new promising areas. This project is closely related to various current research areas including embedding and deformation problems for complex and CR-manif
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Describe the specific objectives and expected outcomes for 'Solar Eruptions and Flares: Bridging the scale gap' in the context of a Seventh Framework call.

assistant: **Objectives**

As the human civilization relies on more and more advanced - frequently space-based - technologies, various natural factors, which have not been significant in the past, come now into play. The variations of plasma and magnetic field in the surroundings of the Earth - commonly known as the 'space weather' - represents a clear example. Since the main driver of the space weather has to be found in the solar activity - namely CMEs and flares - detailed understanding solar eruptions is necessary for space weather predictions.It is commonly accepted that the formation of current layers and subsequent magnetic reconnection play a key role for the change of magnetic field topology in eruptions and energy dissipation in flares. Nevertheless, many questions remain open in research of this process. Namely, one fundamental problem has not been resolved yet: The issue of energy transport from large to small scales. It is known, that free magnetic energy is accumulated on much larger scales (~1000km) along the current layer formed behind the ejecta than is the typical predicted width of dissipative (kinetic) current sheets (~10m in solar corona). The question arises, how to bridge this enormous scale gap - what is the nature of energy transport from large to the dissipation scales. This issue is closely related to the enigmatic duality between coherent large-scale structures and signatures of fragmented small-scale energy dissipation observed simultaneously in solar flares.In the proposed project we plan to study this fundamental problem using - above all - advanced numerical simulations that extend over a broad range of scales. As a follow-up of our modeling we shall formulate the model-specific results of the simulations in the form directly comparable with observations, namely in
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Draft an impact statement for 'Spectra of random matrices, graphs and groups', explaining its relevance to EU policy priorities under Seventh Framework.

assistant: **Impact**

The goal is to understand the connections between the geometric structure of sparse (random) matrices and graphs and their spectra. Specifically, I would like to deepen the connections between three distinct research areas, each having their own set of difficult problems and open questions.The first is the study of random matrices with independent entries, started in the statistics community in the 1920s, and further developed by Wigner, Dyson and others in the 1950s and 60s; many of the results have been extended to more sparse matrices recently. A related question, not yet accessible through the random matrix machinery, is what does the top eigenvalue of a random regular graph of bounded degree look like?The second area of group theory related to the so-called Atiyah question/conjecture. What can the atoms in the spectrum in a vertex-transitive graph look like? How does this depend on the local structure of the graph and its group of automorphisms?The third is the study of random Schroedinger operators, originated with Anderson in the 1980s.  Given a vertex-transitive graph, such as Z^d or a regular tree, how does the spectrum change when random perturbations are added? Most interesting and difficult is the case when these perturbations are discrete, e.g. adding a loop at each vertex independently at random. Most questions about these models are still open, including localization in higher dimensions and local eigenvalue statistics in any dimension.The interplay between these areas has already been fruitful, and gave rise to new ideas and concepts. Specifically, techniques from random Schroedinger operators have been useful in understanding spectra of lamplighter groups, the Novikov-Shubin invariant and the limiting spectra of random Toeplitz matrices. The limiting op
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Compose the 'State of the Art and Innovation' section for a Horizon 2020 proposal on 'Probabilistic Automated Numerical Analysis in Machine learning and Artificial intelligence'.

assistant: **Innovation**

Numerical tasks - integration, linear algebra, optimization, the solution of differential equations - form the computational basis of machine intelligence. Currently, human designers pick methods for these tasks from toolboxes. The generic algorithms assembled in such collections tend to be inefficient on any specific task, and can be unsafe when used incorrectly on problems they were not designed for. Research in numerical methods thus carries carries the potential for groundbreaking advancements in the performance and quality of AI. Project PANAMA will develop a framework within which numerical methods can be constructed in an increasingly automated fashion; and within which numerical methods can assess their own suitability, and adapt both model and computations to the task, at runtime. The key tenet is that numerical methods, since they perform tractable computations to estimate a latent quantity, can themselves be interpreted explicitly as active inference agents; thus concepts from machine learning can be translated to the numerical domain. Groundwork for this paradigm - probabilistic numerics - has recently been developed into a rigorous mathematical framework by the PI and others. The proposed research will simultaneously deliver new general theory for the computations of learning machines, and concrete new algorithms for core areas of machine learning. In doing so, Project PANAMA will improve the efficiency and safety of artificial intelligence, addressing scientific, technological and societal challenges affecting Europeans today.


**Keywords:** Computational Statistics
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Explain how 'quantum-enhanced shadows: scalable quantum-to-classical converters' goes beyond current state-of-the-art under Horizon Europe.

assistant: **Innovation**

Large-scale quantum experiments do not work in isolation. Substantial classical computing power is required to control the experiment and process the results. This necessarily creates information-transmission bottlenecks at the interface between quantum and classical realms. These bottlenecks create scalability issues that prevent us from using existing architectures to the best of their capabilities and may even impair our ability to further scale up system sizes.In this project, we adopt a unifying framework that takes into account all computing resources (quantum and classical). We develop quantum-to-classical converters to overcome information-transmission bottlenecks. Dubbed shadows, they leverage randomization, as well as quantum-enhanced readout strategies to obtain a succinct classical description of an underlying quantum system that can then be used to efficiently predict many features at once. The shadow paradigm is compatible with near-term quantum hardware and utilizes genuine quantum effects that do not have a classical counterpart. Building on these ideas, we also establish rigorous synergies between quantum experiments and classical machine learning. Shadow learning protocols use shadows to succinctly represent training data obtained from actual quantum experiments. A classical training stage then enables data-driven learning of genuine quantum phenomena. Finally, we develop new tools to ensure reliable execution on current quantum hardware, thus bridging the gap between theory and experiment.My interdisciplinary skill set combines methods from modern computer science with quantum information and has already led to numerous high-impact contributions (e.g. 1 Nature Physics with more than 350 citations and 2 Science publications). These insights form the ba
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Describe the specific objectives and expected outcomes for 'Crete Center for Particle Physics and Cosmology' in the context of a Seventh Framework call.

assistant: **Objectives**

This proposal aims at enhancing the research capabilities of the Crete Center for Particle Physics and Cosmology, a small high-quality research group in Heraklion, Crete (LFR and at the outskirts of Europe) . This is expected to be done by  (a) hiring qualified scientists that will enhance the research capacity, and be eventually integrated at the Center  (b) Instituting a twining program with 9 top European groups in the field, including incoming and ougoing visits (c) Establishing a program of workshops and conferences that aim to  improve the research directions and increasing the visibility of the Center (d) establishing an Advisory/Evaluation Comiittee composed of 3 top scientists  that will advise the Center towards a successfull completion of the project, and will valuate the success of the project at the end.
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Compose the 'Concept and Approach' section for a Seventh Framework proposal on 'Photocatalytic Cluster Complexes for Artificial Photosynthesis Applications'.

assistant: **Concept**

A major problem that faces all of Europe and the rest of the world is energy, and being able to supply an ever-increasing population with the power they will need not only today but also in the future. Coupled to this problem is the environmental issue of global warming caused by increased carbon dioxide emissions from the burning of fossil fuels. There is a clear link between energy needs and global warming- the more energy required the more fuel that needs to be burnt. The cycle has to be broken, and the only way forward is to tap into the unlimited energy supplied by the sun. Artificial photosynthesis is one solution, and a real viable way forward, if we can construct molecular machinery that mimics how plants split water into oxygen and concomitantly converts carbon dioxide to organic fuel. The difficulty of this mission should not be underestimated! Indeed, the task is far too large for one research group to tackle and necessitates the bringing together of numerous experts from diverse scientific backgrounds. With each research theme concentrating on specific aspects of artificial photosynthesis, the aspiration in the end will be to put together all the individual solved parts and create a true green plant mimic. The consortium for this project (Benniston-UK; Constantin-Moldova and Mangalagiu-Romania) has been explicitly assembled to focus on the metal-based catalysts needed, for example, the photochemical water splitting reaction. This completely new grouping has set out several challenges towards this common goal, focussing especially on: (i) new synthetic methods for manufacture of robust organic ligands, (ii) preparation of stable redox-active complexes and (III) stringent testing of catalysts in photocatalytic processes. The mutual exchange of researchers betw
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Write the 'Expected Impact' section for the project 'Mechanobiology of cancer progression' (BEACONSANDEGG), addressing dissemination and exploitation.

assistant: **Impact**

Invasive cancers are a leading cause of death worldwide, with almost ten million deaths per year caused by resistance to antitumor treatments. In breast cancer, aggressiveness correlates with fibrotic stiffening of the tumour. There is an urgent need to understand how the fibrotic microenvironment evolves, to design better targeted cancer therapies. Fibrotic stiffening is caused by fibroblasts secretion of a matrix with mechanical properties that stabilise the tumour vascular network. However, the hierarchy and stability of the tumour vascular network are not reproducible in vitro. To advance the field, I will develop a revolutionary platform able to recapitulate tumour fibrosis by exploiting the vascularisation of a living organism.To achieve my goal, I will use human breast cancer cells adhering to 3D polymeric micro scaffolds to create arrays of tumour micro environments. I will implant the arrays in vivo in the chorioallantoic membrane of an embryonated avian egg, to elicit a foreign-body fibrotic reaction. I will vary the micro scaffolds geometry to condition tumour infiltration by the hosts vessels and cells. I will exploit fluorescent spatial beacons incorporated in the micro scaffolds for multiphoton image correlation, to derive morphological and functional information of the regenerated fibrous matrix and vessels. I will predict mass transport of solutes and anticancer agents by computational modelling. To validate the platform, I will quantify in vivo the dose-dependent efficacy and cancer specificity of therapeutic agents whose success is known to depend on the fibrotic stage of tumours.This project combines mechanobiology to bioengineering, biomechanics, oncology, genetics, microtechnology, intravital imaging, biophysics and pharmacology to understand the pr
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Explain the overall concept, methodology and approach for the project 'Smart Sensor Networks with energy harvesting for real time monitoring in urban Water infrastructure' (SmartWater).

assistant: **Concept**

The SmartWater Programme will improve sensors in the water system by investigating smart sensor networks with Energy Harvesting for real time monitoring of the water infrastructure.  The project will look at the problem of limited power resources to carryout monitoring of the water distribution system. Benefits of the research to end users will be: reduced dependency on battery power, reduced installation and maintenance costs, real time monitoring, water consumption reduction, detection of abnormalities in the water supply system and energy saving. These areas are all important to the European Commission’s policy ‘Addressing the challenge of water scarcity and droughts in the European Union’ (2007).The consortium is made up of institutions experienced in hosting international exchanges from the UK, the Netherlands and China. The partners have track records in smart sensor networks and communication, power harvesting technology, real time modelling and control in water distribution system. The six organisations are at the forefront of their fields. The consortium will support established and new partnerships. The exchanges will include delivering work packages and dissemination of results through international conferences and seminars.By combining partner skills, the project will be able to look at the sensor network and identify intelligent power management systems to improve energy consumption. A new long-term research group will emerge from the work, with early stage researchers who have been exposed to a culture of international collaborative research.  The consortium will share findings with a large network of contacts outside the collaboration. This will include businesses and research institutions around the globe. The research could then be commercialised into a
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Compose the 'Concept and Approach' section for a Seventh Framework proposal on 'Molecular Characterization of the microRNA Life-Cycle'.

assistant: **Concept**

Small silencing RNAs regulate gene expression in nearly all eukaryotes and have enormous biotechnological and therapeutic potential. MicroRNAs belong to the larges family of trans-acting gene regulatory molecules in multicellular organisms. In flies and mammals, they control more than half of the protein-coding transcriptome, and act as key regulators of organismal development, physiology, and disease.Here, we propose to study the molecular mechanisms that regulate microRNA homeostasis. We aim to understand how distinct small RNA profiles are established and maintained to coordinate the expression of more than half of all protein coding genes in flies and mammals. Our studies will provide insight into the processes that regulate the function of miRNAs, determine possible causes for aberrant miRNA levels, that have been associated with human diseases, and provide guidelines how to efficiently inhibit miRNA function for analytical and therapeutic purposes.We aim to identify and characterize the molecular determinants of microRNA stability, to dissect the pathways that promote the sequence-specific degradation of microRNAs, and to understand the biological consequences and therapeutic potential of small RNA decay. We will develop novel tools to obtain a view on the intracellular dynamics of RNA silencing pathways, in order to determine the molecular features associated with small RNA biogenesis and decay.Because of its genetic and biochemical tools, we will use Drosophila melanogaster as a model organism. We will employ a combination of bioinformatics, cell-free biochemical experiments, cell culture methods, and in vivo genetics. What we learn in flies we will test in vitro in mammalian cell extracts, in cultured human cell lines and in vivo in mice to identify where these
system: You are an expert grant writer specializing in European Union research funding proposals. You write compelling, well-structured proposal sections that demonstrate excellence, impact, and implementation quality, using precise EU terminology and following best practices for Horizon Europe, Horizon 2020, and earlier framework programmes.

user: Explain the overall concept, methodology and approach for the project '3d general relativistic hydrodynamics' (1994-1998).

assistant: **Concept**

The goal of the project is the development of a multipurpose, scalable, parallel, high- performance 3D code, evolving both relativistic gravitational fields and hydrodynam- ics, for the study of relativistic astrophysics and gravitational wave astronomy. The code will be obtained by coupling the existing NCSA/AEI efficient vacuum general relativity code to Valencia's group relativistic hydrodynamic code. This project will be one of the first to solve simultaneously both sides of Einstein field equations. For this purpose, it will take advantage of the latest developments in numerical relativity and computational science. This project represents a major step forward to model the evolution of matter in a dynamical 3D spacetime, thereby allowing the study of all components of relativistic astrophysics, including highly dynamic gravitational fields, strong gravitational waves, relativistic fluid motion, and shocks.