Project acronym 100 Archaic Genomes
Project Genome sequences from extinct hominins
Researcher (PI) Svante PaeaeBO
Host Institution (HI) MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV
Country Germany
Call Details Advanced Grant (AdG), LS2, ERC-2015-AdG
Summary Neandertals and Denisovans, an Asian group distantly related to Neandertals, are the closest evolutionary relatives of present-day humans. They are thus of direct relevance for understanding the origin of modern humans and how modern humans differ from their closest relatives. We will generate genome-wide data from a large number of Neandertal and Denisovan individuals from across their geographical and temporal range as well as from other extinct hominin groups which we may discover. This will be possible by automating highly sensitive approaches to ancient DNA extraction and DNA libraries construction that we have developed so that they can be applied to many specimens from many sites in order to identify those that contain retrievable DNA. Whenever possible we will sequence whole genomes and in other cases use DNA capture methods to generate high-quality data from representative parts of the genome. This will allow us to study the population history of Neandertals and Denisovans, elucidate how many times and where these extinct hominins contributed genes to present-day people, and the extent to which modern humans and archaic groups contributed genetically to Neandertals and Denisovans. By retrieving DNA from specimens that go back to the Middle Pleistocene we will furthermore shed light on the early history and origins of Neandertals and Denisovans.
Summary
Neandertals and Denisovans, an Asian group distantly related to Neandertals, are the closest evolutionary relatives of present-day humans. They are thus of direct relevance for understanding the origin of modern humans and how modern humans differ from their closest relatives. We will generate genome-wide data from a large number of Neandertal and Denisovan individuals from across their geographical and temporal range as well as from other extinct hominin groups which we may discover. This will be possible by automating highly sensitive approaches to ancient DNA extraction and DNA libraries construction that we have developed so that they can be applied to many specimens from many sites in order to identify those that contain retrievable DNA. Whenever possible we will sequence whole genomes and in other cases use DNA capture methods to generate high-quality data from representative parts of the genome. This will allow us to study the population history of Neandertals and Denisovans, elucidate how many times and where these extinct hominins contributed genes to present-day people, and the extent to which modern humans and archaic groups contributed genetically to Neandertals and Denisovans. By retrieving DNA from specimens that go back to the Middle Pleistocene we will furthermore shed light on the early history and origins of Neandertals and Denisovans.
Max ERC Funding
2 350 000 €
Duration
Start date: 2016-11-01, End date: 2021-10-31
Project acronym APEG
Project Algorithmic Performance Guarantees: Foundations and Applications
Researcher (PI) Susanne ALBERS
Host Institution (HI) TECHNISCHE UNIVERSITAET MUENCHEN
Country Germany
Call Details Advanced Grant (AdG), PE6, ERC-2015-AdG
Summary Optimization problems are ubiquitous in computer science. Almost every problem involves the optimization of some objective function. However a major part of these problems cannot be solved to optimality. Therefore, algorithms that achieve provably good performance guarantees are of immense importance. Considerable progress has already been made, but great challenges remain: Some fundamental problems are not well understood. Moreover, for central problems arising in new applications, no solutions are known at all.
The goal of APEG is to significantly advance the state of the art on algorithmic performance guarantees. Specifically, the project has two missions: First, it will develop new algorithmic techniques, breaking new ground in the areas of online algorithms, approximations algorithms and algorithmic game theory. Second, it will apply these techniques to solve fundamental problems that are central in these algorithmic disciplines. APEG will attack long-standing open problems, some of which have been unresolved for several decades. Furthermore, it will formulate and investigate new algorithmic problems that arise in modern applications. The research agenda encompasses a broad spectrum of classical and timely topics including (a) resource allocation in computer systems, (b) data structuring, (c) graph problems, with relations to Internet advertising, (d) complex networks and (e) massively parallel systems. In addition to basic optimization objectives, the project will also study the new performance metric of energy minimization in computer systems.
Overall, APEG pursues cutting-edge algorithms research, focusing on both foundational problems and applications. Any progress promises to be a breakthrough or significant contribution.
Summary
Optimization problems are ubiquitous in computer science. Almost every problem involves the optimization of some objective function. However a major part of these problems cannot be solved to optimality. Therefore, algorithms that achieve provably good performance guarantees are of immense importance. Considerable progress has already been made, but great challenges remain: Some fundamental problems are not well understood. Moreover, for central problems arising in new applications, no solutions are known at all.
The goal of APEG is to significantly advance the state of the art on algorithmic performance guarantees. Specifically, the project has two missions: First, it will develop new algorithmic techniques, breaking new ground in the areas of online algorithms, approximations algorithms and algorithmic game theory. Second, it will apply these techniques to solve fundamental problems that are central in these algorithmic disciplines. APEG will attack long-standing open problems, some of which have been unresolved for several decades. Furthermore, it will formulate and investigate new algorithmic problems that arise in modern applications. The research agenda encompasses a broad spectrum of classical and timely topics including (a) resource allocation in computer systems, (b) data structuring, (c) graph problems, with relations to Internet advertising, (d) complex networks and (e) massively parallel systems. In addition to basic optimization objectives, the project will also study the new performance metric of energy minimization in computer systems.
Overall, APEG pursues cutting-edge algorithms research, focusing on both foundational problems and applications. Any progress promises to be a breakthrough or significant contribution.
Max ERC Funding
2 404 250 €
Duration
Start date: 2016-10-01, End date: 2021-09-30
Project acronym Autonomous CLL-BCRs
Project Role of autonomous B cell receptor signalling and external antigen in the pathogenesis of chronic lymphocytic leukaemia (CLL)
Researcher (PI) Hassan JUMAA-WEINACHT
Host Institution (HI) UNIVERSITAET ULM
Country Germany
Call Details Advanced Grant (AdG), LS6, ERC-2015-AdG
Summary The proposed project aims at investigating the molecular mechanisms that activate B cell antigen receptor (BCR) signalling in chronic lymphocytic leukaemia (CLL). While it is widely accepted that the unbroken BCR expression in CLL cells is indicative for a key role in disease development, the mechanisms that induce BCR activation and survival of malignant cells are still elusive. Using a unique reconstitution system, we have recently shown that CLL-derived BCRs possess the exceptional capacity for cell-autonomous signalling independent of external antigen. Crystallographic analyses confirmed our model that CLL-BCRs bind to intrinsic motifs in nearby BCRs on the very same cell. In addition to the BCR, several pathogenic factors influence the biological behaviour of CLL cells, but the functional hierarchy and the effect on BCR signalling are insufficiently understood. Here, we aim at investigating the structural cause of autonomous signalling as well as the characterization of important signalling pathways and their mechanistic action in CLL pathogenesis.
By combining crystallography with the measurement of autonomous signalling of wild type and mutated receptors in our unique reconstitution system, we will generate a structure-function relationship for CLL-BCRs. By generating new animal models and by employing classical as well as cutting-edge approaches of biochemistry and molecular/cellular immunology, we will comprehensively characterize the signalling pathways that are activated by autonomous signalling and might be important for CLL pathogenesis.
These systematic efforts are necessary to understand how various biological mechanisms operate and ultimately activate downstream pathways that result in a lymphoproliferative disease. In addition, a cohesive model of CLL pathogenesis, which elucidates the hierarchical order of pathogenic factors and their interaction with BCR signalling, may well lead to novel disease-specific preventive or therapeutic intervention.
Summary
The proposed project aims at investigating the molecular mechanisms that activate B cell antigen receptor (BCR) signalling in chronic lymphocytic leukaemia (CLL). While it is widely accepted that the unbroken BCR expression in CLL cells is indicative for a key role in disease development, the mechanisms that induce BCR activation and survival of malignant cells are still elusive. Using a unique reconstitution system, we have recently shown that CLL-derived BCRs possess the exceptional capacity for cell-autonomous signalling independent of external antigen. Crystallographic analyses confirmed our model that CLL-BCRs bind to intrinsic motifs in nearby BCRs on the very same cell. In addition to the BCR, several pathogenic factors influence the biological behaviour of CLL cells, but the functional hierarchy and the effect on BCR signalling are insufficiently understood. Here, we aim at investigating the structural cause of autonomous signalling as well as the characterization of important signalling pathways and their mechanistic action in CLL pathogenesis.
By combining crystallography with the measurement of autonomous signalling of wild type and mutated receptors in our unique reconstitution system, we will generate a structure-function relationship for CLL-BCRs. By generating new animal models and by employing classical as well as cutting-edge approaches of biochemistry and molecular/cellular immunology, we will comprehensively characterize the signalling pathways that are activated by autonomous signalling and might be important for CLL pathogenesis.
These systematic efforts are necessary to understand how various biological mechanisms operate and ultimately activate downstream pathways that result in a lymphoproliferative disease. In addition, a cohesive model of CLL pathogenesis, which elucidates the hierarchical order of pathogenic factors and their interaction with BCR signalling, may well lead to novel disease-specific preventive or therapeutic intervention.
Max ERC Funding
2 256 250 €
Duration
Start date: 2016-11-01, End date: 2021-10-31
Project acronym EPoCH
Project Exploring and Preventing Cryptographic Hardware Backdoors: Protecting the Internet of Things against Next-Generation Attacks
Researcher (PI) Christof PAAR
Host Institution (HI) RUHR-UNIVERSITAET BOCHUM
Country Germany
Call Details Advanced Grant (AdG), PE6, ERC-2015-AdG
Summary The digital landscape is currently undergoing an evolution towards the Internet of Things. The IoT comes with a dramatically increased threat potential, as attacks can endanger human life and can lead to a massive loss of privacy of (European) citizens. A particular dangerous class of attacks manipulates the cryptographic algorithms in the underlying hardware. Backdoors in the cryptography of IoT devices can lead to system-wide loss of security. This proposal has the ambitious goal to comprehensively understand and counter low-level backdoor attacks. The required research consists of two major modules:
1) The development of an encompassing understanding of how hardware manipulations of cryptographic functions can actually be performed, and what the consequences are for the system security. Exploring attacks is fundamental for designing strong countermeasures, analogous to the role of cryptanalysis in cryptology.
2) The development of hardware countermeasures that provide systematic protection against malicious manipulations. In contrast to detection-based methods which dominate the literature, our approach will be pro-active. We will develop solutions for instances of important problems, including hardware reverse engineering and hardware hiding. Little is known about the limits of and optimum approaches to both problems in specific settings.
Beyond prevention of hardware Trojans, the research will have applications in IP protection and will spark research in the theory of computer science community.
Summary
The digital landscape is currently undergoing an evolution towards the Internet of Things. The IoT comes with a dramatically increased threat potential, as attacks can endanger human life and can lead to a massive loss of privacy of (European) citizens. A particular dangerous class of attacks manipulates the cryptographic algorithms in the underlying hardware. Backdoors in the cryptography of IoT devices can lead to system-wide loss of security. This proposal has the ambitious goal to comprehensively understand and counter low-level backdoor attacks. The required research consists of two major modules:
1) The development of an encompassing understanding of how hardware manipulations of cryptographic functions can actually be performed, and what the consequences are for the system security. Exploring attacks is fundamental for designing strong countermeasures, analogous to the role of cryptanalysis in cryptology.
2) The development of hardware countermeasures that provide systematic protection against malicious manipulations. In contrast to detection-based methods which dominate the literature, our approach will be pro-active. We will develop solutions for instances of important problems, including hardware reverse engineering and hardware hiding. Little is known about the limits of and optimum approaches to both problems in specific settings.
Beyond prevention of hardware Trojans, the research will have applications in IP protection and will spark research in the theory of computer science community.
Max ERC Funding
2 498 286 €
Duration
Start date: 2016-10-01, End date: 2021-09-30
Project acronym HOLOGRAM
Project Holomorphic Dynamics connecting Geometry, Root-Finding, Algebra, and the Mandelbrot set
Researcher (PI) Dierk Sebastian SCHLEICHER
Host Institution (HI) TECHNISCHE UNIVERSITAT BERLIN
Country Germany
Call Details Advanced Grant (AdG), PE1, ERC-2015-AdG
Summary Dynamical systems play an important role all over science, from celestial mechanics, evolution biology and
economics to mathematics. Specifically holomorphic dynamics has been credited as “straddling the
traditional borders between pure and applied mathematics”. Activities of numerous top-level
mathematicians, including Fields medalists and Abel laureates, demonstrate the attractivity of holomorphic
dynamics as an active and challenging research field.
We propose to work on a research project based in holomorphic dynamics that actively connects to adjacent
mathematical fields. We work on four closely connected Themes:
A. we develop a classification of holomorphic dynamical systems and a Rigidity Principle, proposing
the view that many of the additional challenges of non-polynomial rational maps are encoded in the simpler
polynomial setting;
B. we advance Thurston’s fundamental characterization theorem of rational maps and his lamination
theory to the world of transcendental maps, developing a novel way of understanding of spaces of iterated
polynomials and transcendental maps;
C. we develop an extremely efficient polynomial root finder based on Newton’s method that turns the
perceived problem of “chaotic dynamics” into an advantage, factorizing polynomials of degree several
million in a matter of minutes rather than months – and providing a family of rational maps that are highly
susceptible to combinatorial analysis, leading the way for an understanding of more general maps;
D. and we connect this to geometric group theory via “Iterated Monodromy Groups”, an innovative
concept that helps solve dynamical questions in terms of their group structure, and that contributes to
geometric group theory by providing natural classes of groups with properties that used to be thought of as
“exotic”.
Summary
Dynamical systems play an important role all over science, from celestial mechanics, evolution biology and
economics to mathematics. Specifically holomorphic dynamics has been credited as “straddling the
traditional borders between pure and applied mathematics”. Activities of numerous top-level
mathematicians, including Fields medalists and Abel laureates, demonstrate the attractivity of holomorphic
dynamics as an active and challenging research field.
We propose to work on a research project based in holomorphic dynamics that actively connects to adjacent
mathematical fields. We work on four closely connected Themes:
A. we develop a classification of holomorphic dynamical systems and a Rigidity Principle, proposing
the view that many of the additional challenges of non-polynomial rational maps are encoded in the simpler
polynomial setting;
B. we advance Thurston’s fundamental characterization theorem of rational maps and his lamination
theory to the world of transcendental maps, developing a novel way of understanding of spaces of iterated
polynomials and transcendental maps;
C. we develop an extremely efficient polynomial root finder based on Newton’s method that turns the
perceived problem of “chaotic dynamics” into an advantage, factorizing polynomials of degree several
million in a matter of minutes rather than months – and providing a family of rational maps that are highly
susceptible to combinatorial analysis, leading the way for an understanding of more general maps;
D. and we connect this to geometric group theory via “Iterated Monodromy Groups”, an innovative
concept that helps solve dynamical questions in terms of their group structure, and that contributes to
geometric group theory by providing natural classes of groups with properties that used to be thought of as
“exotic”.
Max ERC Funding
2 312 481 €
Duration
Start date: 2016-10-01, End date: 2021-09-30
Project acronym MacAGE
Project Macrophage aging and rejuvenation
Researcher (PI) Michaeel SIEWEKE
Host Institution (HI) TECHNISCHE UNIVERSITAET DRESDEN
Country Germany
Call Details Advanced Grant (AdG), LS6, ERC-2015-AdG
Summary Tissue resident macrophages are essentially present in every organ of the body and perform critical functions in immunity,
tissue homeostasis and regeneration. Recent evidence shows that resident macrophages can originate from embryonic
progenitors and be maintained in tissues long term by local proliferation independently of monocytes. This self-renewal
ability, however, appears to decline with age, with potentially major consequences for the response to infection, the
resolution of inflammation and the ability for tissue regeneration. Understanding the decline of self-renewal in the aging
macrophage may thus hold key elements for maintaining healthy tissue integrity. Drawing from analogies to stem cell self-renewal we want to decipher the molecular and cellular parameters of macrophage self-renewal and its decline with age.
We want to understand the age-associated changes in gene expression and epigenetic identity of tissue macrophage
populations with the ultimate goal to reverse age dependent decline in self-renewal and function. Results from my
laboratory have identified transcription factors that control the access to a network of self-renewal genes that are also used in stem cells. Using several complementary genetic mouse models tapping into this network we want to investigate whether its activation in resident macrophage population in vivo can rejuvenate their self-renewal capacity and revert aging related changes. These approaches will be complemented by unbiased genome wide screens in vivo using latest generation CRISPR/Cas9 genome editing technology to identify new signaling pathways guiding macrophage self-renewal and aging. Using innovate combinations of genetics and adoptive transfer protocols we will test whether this knowledge can be employed to reverse macrophage dependent loss of immune competence and failed tissue regeneration with age. Our results will lead to new general insight and potential novel cellular therapies for degenerative diseases.
Summary
Tissue resident macrophages are essentially present in every organ of the body and perform critical functions in immunity,
tissue homeostasis and regeneration. Recent evidence shows that resident macrophages can originate from embryonic
progenitors and be maintained in tissues long term by local proliferation independently of monocytes. This self-renewal
ability, however, appears to decline with age, with potentially major consequences for the response to infection, the
resolution of inflammation and the ability for tissue regeneration. Understanding the decline of self-renewal in the aging
macrophage may thus hold key elements for maintaining healthy tissue integrity. Drawing from analogies to stem cell self-renewal we want to decipher the molecular and cellular parameters of macrophage self-renewal and its decline with age.
We want to understand the age-associated changes in gene expression and epigenetic identity of tissue macrophage
populations with the ultimate goal to reverse age dependent decline in self-renewal and function. Results from my
laboratory have identified transcription factors that control the access to a network of self-renewal genes that are also used in stem cells. Using several complementary genetic mouse models tapping into this network we want to investigate whether its activation in resident macrophage population in vivo can rejuvenate their self-renewal capacity and revert aging related changes. These approaches will be complemented by unbiased genome wide screens in vivo using latest generation CRISPR/Cas9 genome editing technology to identify new signaling pathways guiding macrophage self-renewal and aging. Using innovate combinations of genetics and adoptive transfer protocols we will test whether this knowledge can be employed to reverse macrophage dependent loss of immune competence and failed tissue regeneration with age. Our results will lead to new general insight and potential novel cellular therapies for degenerative diseases.
Max ERC Funding
2 499 994 €
Duration
Start date: 2017-01-01, End date: 2021-12-31
Project acronym PhysSF
Project Physics of Star Formation and Its Regulation
Researcher (PI) Eva SCHINNERER
Host Institution (HI) MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV
Country Germany
Call Details Advanced Grant (AdG), PE9, ERC-2015-AdG
Summary In the past decade we learned when and where stellar mass was built up in galaxies through cosmic time, now we must understand the physical causes in order to answer `How do galaxies form and evolve?’. This ERC project is designed to greatly advance our understanding of the physics of the star formation (SF) process and its regulation in typical star forming galaxies. The ERC project consists of 2 complementary parts: (A) an unparalleled characterization of the SF process in nearby galaxies through full exploitation of the revolutionary capabilities of the latest millimeter interferometers (ALMA) and optical integral field units (MUSE). This study will constrain the key physical parameters for the SF process on only 50pc scales - the scale of large HII regions and their predecessors, giant molecular clouds. At this crucial scale, the MUSE-ALMA-HST Survey will provide a characterization of the SF history, stellar/gaseous surface densities, metallicities of stars and gas, the stellar radiation field, extinction, and stellar/gas kinematics, and thus uncover the physical conditions that control and regulate the SF process. Part (B) will place the results of part (A) in a cosmological context, by characterizing key galaxy quantities (e.g., gas mass fraction, specific SF rates, gas depletion times) in fully representative galaxy samples after (z<3) and before (z>3) the peak epoch of cosmic star formation density. In addition to providing the critically needed constraints on the conditions that govern the SF process, this ERC project will provide the observational benchmark for state-of-the art galaxy simulations and models. The PI is internationally recognized as a leader in SF studies in nearby and distant galaxies, and has successfully led large international collaborations that strongly shaped our current understanding of the SF process. Through her track record and access to the required data, the PI is uniquely positioned to successful lead this ambitious program.
Summary
In the past decade we learned when and where stellar mass was built up in galaxies through cosmic time, now we must understand the physical causes in order to answer `How do galaxies form and evolve?’. This ERC project is designed to greatly advance our understanding of the physics of the star formation (SF) process and its regulation in typical star forming galaxies. The ERC project consists of 2 complementary parts: (A) an unparalleled characterization of the SF process in nearby galaxies through full exploitation of the revolutionary capabilities of the latest millimeter interferometers (ALMA) and optical integral field units (MUSE). This study will constrain the key physical parameters for the SF process on only 50pc scales - the scale of large HII regions and their predecessors, giant molecular clouds. At this crucial scale, the MUSE-ALMA-HST Survey will provide a characterization of the SF history, stellar/gaseous surface densities, metallicities of stars and gas, the stellar radiation field, extinction, and stellar/gas kinematics, and thus uncover the physical conditions that control and regulate the SF process. Part (B) will place the results of part (A) in a cosmological context, by characterizing key galaxy quantities (e.g., gas mass fraction, specific SF rates, gas depletion times) in fully representative galaxy samples after (z<3) and before (z>3) the peak epoch of cosmic star formation density. In addition to providing the critically needed constraints on the conditions that govern the SF process, this ERC project will provide the observational benchmark for state-of-the art galaxy simulations and models. The PI is internationally recognized as a leader in SF studies in nearby and distant galaxies, and has successfully led large international collaborations that strongly shaped our current understanding of the SF process. Through her track record and access to the required data, the PI is uniquely positioned to successful lead this ambitious program.
Max ERC Funding
2 495 000 €
Duration
Start date: 2016-10-01, End date: 2021-09-30
Project acronym POWVER
Project Power to the People. Verified.
Researcher (PI) Holger Hermanns
Host Institution (HI) UNIVERSITAT DES SAARLANDES
Country Germany
Call Details Advanced Grant (AdG), PE6, ERC-2015-AdG
Summary Twenty years ago we were able to repair cars at home. Nowadays customer services repair coffee machines. By installing software updates. Soon you will no longer be able to repair your bike.
Embedded software innovations boost our society; they help us tremendously in our daily life. But we do not understand what the software does, regardless of how well educated or smart we are. Proprietary embedded software has become an opaque layer between functionality and user. That layer is thick enough to possibly induce malicious or unintended behaviour. Proprietary embedded software locks us out of the products we own.
We need a turn to open and hence customisable embedded software. However, a minor customisation might well have strong unexpected impact, for instance on the longevity of an embedded battery, or the safety of the battery charging process. We thus need means to detect, quantify and prevent such implications.
The POWVER project lays the foundations. It provides quantitative verification technology for system-level correctness, safety, dependability, and performability. In this endeavour, POWVER takes up a hard scientific challenge, a challenge where discrete and continuous, real-time, stochastic as well as data- and user-dependent aspects are all deeply intertwined: embedded software for electric power management. Electric power is intricate to handle by software, is safety-critical, but vital for mobile devices and their longevity. Since ever more tools, gadgets, and vehicles run on batteries and use power harvesting, power management is a pivot of the future.
POWVER will demonstrate that quantitative verification of open embedded software is feasible, and can ensure safe and dependable operation of safety-critical devices. A proof of concept will target the field of electric mobility, set up as a blueprint for other battery-powered appliances. As such, POWVER is the nucleus for a radical change in the way embedded software quality is assured in general.
Summary
Twenty years ago we were able to repair cars at home. Nowadays customer services repair coffee machines. By installing software updates. Soon you will no longer be able to repair your bike.
Embedded software innovations boost our society; they help us tremendously in our daily life. But we do not understand what the software does, regardless of how well educated or smart we are. Proprietary embedded software has become an opaque layer between functionality and user. That layer is thick enough to possibly induce malicious or unintended behaviour. Proprietary embedded software locks us out of the products we own.
We need a turn to open and hence customisable embedded software. However, a minor customisation might well have strong unexpected impact, for instance on the longevity of an embedded battery, or the safety of the battery charging process. We thus need means to detect, quantify and prevent such implications.
The POWVER project lays the foundations. It provides quantitative verification technology for system-level correctness, safety, dependability, and performability. In this endeavour, POWVER takes up a hard scientific challenge, a challenge where discrete and continuous, real-time, stochastic as well as data- and user-dependent aspects are all deeply intertwined: embedded software for electric power management. Electric power is intricate to handle by software, is safety-critical, but vital for mobile devices and their longevity. Since ever more tools, gadgets, and vehicles run on batteries and use power harvesting, power management is a pivot of the future.
POWVER will demonstrate that quantitative verification of open embedded software is feasible, and can ensure safe and dependable operation of safety-critical devices. A proof of concept will target the field of electric mobility, set up as a blueprint for other battery-powered appliances. As such, POWVER is the nucleus for a radical change in the way embedded software quality is assured in general.
Max ERC Funding
2 425 000 €
Duration
Start date: 2016-09-01, End date: 2021-08-31
Project acronym RicciBounds
Project Metric measure spaces and Ricci curvature — analytic, geometric, and probabilistic challenges
Researcher (PI) Karl-Theodor STURM
Host Institution (HI) RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN
Country Germany
Call Details Advanced Grant (AdG), PE1, ERC-2015-AdG
Summary The project is devoted to innovative directions of research on metric measure spaces (‚mm-spaces’) and synthetic bounds for the Ricci curvature.
It aims to bring together two - currently unrelated - areas of mathematics which both have seen an impressive development in the last decade: i) the study of ,static‘ mm-spaces with synthetic Ricci bounds and ii) the study of Ricci flows for ,smooth‘ Riemannian manifolds. A new ansatz - based on the concept of dynamical convexity - will enable to merge these two cutting-edge developments and will lead to the very first approach to Ricci flows on singular spaces.
The project also aims to break up the limitations for the study of (generalized) Ricci curvature for mm-spaces, until now
being restricted exclusively to spaces with uniform lower bounds for this curvature. For the first time ever, mm-spaces with
(signed) measure-valued lower bounds for the Ricci curvature will be studied - the absolutely continuous, non-constant case being highly innovative as well. Besides Ricci bounds also Ricci tensors will be defined and utilized for novel insights and
sharp estimates.
Furthermore, the project aims to initiate the development of stochastic calculus on mm-spaces and, in particular, to provide pathwise insights into the effect of (singular) Ricci curvature. The focus will be on pathwise optimal coupling, stochastic parallel transport, and derivative formulas. Both the static and the dynamic case are of interest. Methods from optimal transport and from stochastic calculus will be combined to push forward the analysis on path and loop spaces.
Each of these aims is important and worth in its own. Only in combination, however, they produce the dynamics, synergy effects, and cross-fertilization requested for maximum success. The anticipated breakthroughs of the project depend on exceeding classical borders of mathematical disciplines and on merging together topical developments from different fields.
Summary
The project is devoted to innovative directions of research on metric measure spaces (‚mm-spaces’) and synthetic bounds for the Ricci curvature.
It aims to bring together two - currently unrelated - areas of mathematics which both have seen an impressive development in the last decade: i) the study of ,static‘ mm-spaces with synthetic Ricci bounds and ii) the study of Ricci flows for ,smooth‘ Riemannian manifolds. A new ansatz - based on the concept of dynamical convexity - will enable to merge these two cutting-edge developments and will lead to the very first approach to Ricci flows on singular spaces.
The project also aims to break up the limitations for the study of (generalized) Ricci curvature for mm-spaces, until now
being restricted exclusively to spaces with uniform lower bounds for this curvature. For the first time ever, mm-spaces with
(signed) measure-valued lower bounds for the Ricci curvature will be studied - the absolutely continuous, non-constant case being highly innovative as well. Besides Ricci bounds also Ricci tensors will be defined and utilized for novel insights and
sharp estimates.
Furthermore, the project aims to initiate the development of stochastic calculus on mm-spaces and, in particular, to provide pathwise insights into the effect of (singular) Ricci curvature. The focus will be on pathwise optimal coupling, stochastic parallel transport, and derivative formulas. Both the static and the dynamic case are of interest. Methods from optimal transport and from stochastic calculus will be combined to push forward the analysis on path and loop spaces.
Each of these aims is important and worth in its own. Only in combination, however, they produce the dynamics, synergy effects, and cross-fertilization requested for maximum success. The anticipated breakthroughs of the project depend on exceeding classical borders of mathematical disciplines and on merging together topical developments from different fields.
Max ERC Funding
2 430 000 €
Duration
Start date: 2016-09-01, End date: 2022-02-28
Project acronym SEQCLAS
Project A Sequence Classification Framework for Human Language Technology
Researcher (PI) Hermann Josef NEY
Host Institution (HI) RHEINISCH-WESTFAELISCHE TECHNISCHE HOCHSCHULE AACHEN
Country Germany
Call Details Advanced Grant (AdG), PE6, ERC-2015-AdG
Summary This project will develop a unifying framework of novel methods for sequence classification and thus make a major break-through in automatic speech recognition and machine translation, advancing these areas of human language technology (HLT) beyond state-of-the-art. Despite the huge progress made in the field, the specific aspect of sequence classification has not been addressed adequately in the past research in these disciplines and remains a big challenge. The proposed project will provide a novel framework under consistent consideration of the leading aspect of sequence classification. It will break the ground for a deeper, more comprehensive foundation for sequence classification and pave the way for a new generation of algorithms that will put human language technology on a more solid basis and that will accelerate progress in the field across several disciplines.
The leading research objectives are: 1. A novel theoretical framework for sequence classification. 2. Consistent sequence modeling across training and testing, which is specifically lacking in machine translation. 3. Adequate sequence-level performance-aware training criteria to learn the free parameters of the models. 4. Investigation of (true) unsupervised training for HLT sequence classification: its principles, its prerequisites, its limitations and its practical usage. The study of these four problems will provide key enabling techniques for HLT sequence classification in general that will carry over to and create high impact on the areas of speech recognition, machine translation and handwritten text recognition. Using our top-ranking research prototype systems, we will verify the validity and effectiveness or our research on public international benchmarks.
Summary
This project will develop a unifying framework of novel methods for sequence classification and thus make a major break-through in automatic speech recognition and machine translation, advancing these areas of human language technology (HLT) beyond state-of-the-art. Despite the huge progress made in the field, the specific aspect of sequence classification has not been addressed adequately in the past research in these disciplines and remains a big challenge. The proposed project will provide a novel framework under consistent consideration of the leading aspect of sequence classification. It will break the ground for a deeper, more comprehensive foundation for sequence classification and pave the way for a new generation of algorithms that will put human language technology on a more solid basis and that will accelerate progress in the field across several disciplines.
The leading research objectives are: 1. A novel theoretical framework for sequence classification. 2. Consistent sequence modeling across training and testing, which is specifically lacking in machine translation. 3. Adequate sequence-level performance-aware training criteria to learn the free parameters of the models. 4. Investigation of (true) unsupervised training for HLT sequence classification: its principles, its prerequisites, its limitations and its practical usage. The study of these four problems will provide key enabling techniques for HLT sequence classification in general that will carry over to and create high impact on the areas of speech recognition, machine translation and handwritten text recognition. Using our top-ranking research prototype systems, we will verify the validity and effectiveness or our research on public international benchmarks.
Max ERC Funding
2 500 000 €
Duration
Start date: 2016-08-01, End date: 2021-07-31