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description Publicationkeyboard_double_arrow_right Preprint , Article , Research 2016 United States, France, France, Switzerland, FrancePublisher:The Royal Society Funded by:EC | GEQITEC| GEQITAuthors: Sutter, David; Fawzi, Omar; Renner, Renato;Sutter, David; Fawzi, Omar; Renner, Renato;A central question in quantum information theory is to determine how well lost information can be reconstructed. Crucially, the corresponding recovery operation should perform well without knowing the information to be reconstructed. In this work, we show that the quantum conditional mutual information measures the performance of such recovery operations. More precisely, we prove that the conditional mutual information $I(A:C|B)$ of a tripartite quantum state $\rho_{ABC}$ can be bounded from below by its distance to the closest recovered state $\mathcal{R}_{B \to BC}(\rho_{AB})$, where the $C$-part is reconstructed from the $B$-part only and the recovery map $\mathcal{R}_{B \to BC}$ merely depends on $\rho_{BC}$. One particular application of this result implies the equivalence between two different approaches to define topological order in quantum systems. Comment: v3: 31 pages, 1 figure, application to topological order of quantum systems added (Section 3). v2: 29 pages, relation to [Wilde, arXiv:1505.04661] clarified (Remark 2.5)
Caltech Authors arrow_drop_down Europe PubMed CentralArticle . 2016Full-Text: http://europepmc.org/articles/PMC4841654Data sources: PubMed CentralProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticleLicense: CC BYData sources: UnpayWallProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2016 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: CrossrefHyper Article en Ligne; Hal-DiderotOther literature type . Article . 2016https://doi.org/10.48550/arxiv...Article . 2015License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rspa.2015.0623&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen hybrid 50 citations 50 popularity Top 10% influence Top 10% impulse Top 10% Powered by BIP!more_vert Caltech Authors arrow_drop_down Europe PubMed CentralArticle . 2016Full-Text: http://europepmc.org/articles/PMC4841654Data sources: PubMed CentralProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticleLicense: CC BYData sources: UnpayWallProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2016 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: CrossrefHyper Article en Ligne; Hal-DiderotOther literature type . Article . 2016https://doi.org/10.48550/arxiv...Article . 2015License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rspa.2015.0623&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Other literature type , Research , Preprint 2018Embargo end date: 01 Jan 2018 United Kingdom, France, France, FrancePublisher:arXiv Authors: Cucuringu, M; Tyagi, H;Cucuringu, M; Tyagi, H;Consider an unknown smooth function $f: [0,1]^d \rightarrow \mathbb{R}$, and say we are given $n$ noisy mod 1 samples of $f$, i.e., $y_i = (f(x_i) + \eta_i)\mod 1$, for $x_i \in [0,1]^d$, where $\eta_i$ denotes the noise. Given the samples $(x_i,y_i)_{i=1}^{n}$, our goal is to recover smooth, robust estimates of the clean samples $f(x_i) \bmod 1$. We formulate a natural approach for solving this problem, which works with angular embeddings of the noisy mod 1 samples over the unit circle, inspired by the angular synchronization framework. This amounts to solving a smoothness regularized least-squares problem -- a quadratically constrained quadratic program (QCQP) -- where the variables are constrained to lie on the unit circle. Our approach is based on solving its relaxation, which is a trust-region sub-problem and hence solvable efficiently. We provide theoretical guarantees demonstrating its robustness to noise for adversarial, and random Gaussian and Bernoulli noise models. To the best of our knowledge, these are the first such theoretical results for this problem. We demonstrate the robustness and efficiency of our approach via extensive numerical simulations on synthetic data, along with a simple least-squares solution for the unwrapping stage, that recovers the original samples of $f$ (up to a global shift). It is shown to perform well at high levels of noise, when taking as input the denoised modulo $1$ samples. Finally, we also consider two other approaches for denoising the modulo 1 samples that leverage tools from Riemannian optimization on manifolds, including a Burer-Monteiro approach for a semidefinite programming relaxation of our formulation. For the two-dimensional version of the problem, which has applications in radar interferometry, we are able to solve instances of real-world data with a million sample points in under 10 seconds, on a personal laptop. Comment: 68 pages, 32 figures. arXiv admin note: text overlap with arXiv:1710.10210
Oxford University Re... arrow_drop_down Oxford University Research ArchiveOther literature type . 2019License: CC BYData sources: Oxford University Research ArchiveHal-DiderotArticle . 2020Full-Text: https://hal.inria.fr/hal-02379573/documentData sources: Hal-Diderothttps://doi.org/10.48550/arxiv...Article . 2018License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.48550/arxiv.1803.03669&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen gold more_vert Oxford University Re... arrow_drop_down Oxford University Research ArchiveOther literature type . 2019License: CC BYData sources: Oxford University Research ArchiveHal-DiderotArticle . 2020Full-Text: https://hal.inria.fr/hal-02379573/documentData sources: Hal-Diderothttps://doi.org/10.48550/arxiv...Article . 2018License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.48550/arxiv.1803.03669&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Book , Preprint 2022 United Kingdom, France, France, ItalyPublisher:The Royal Society Funded by:UKRI | Investigating SARS-CoV-2 ..., WT | Immunity dynamics and epi...UKRI| Investigating SARS-CoV-2 Transmission in UK Jewish Communities ,WT| Immunity dynamics and epidemiology of cross-reactive pathogensW. Waites; M. Cavaliere; V. Danos; R. Datta; R. M. Eggo; T. B. Hallett; D. Manheim; J. Panovska-Griffiths; T. W. Russell; V. I. Zarnitsyna;Transmission models for infectious diseases are typically formulated in terms of dynamics between individuals or groups with processes such as disease progression or recovery for each individual captured phenomenologically, without reference to underlying biological processes. Furthermore, the construction of these models is often monolithic: they do not allow one to readily modify the processes involved or include the new ones, or to combine models at different scales. We show how to construct a simple model of immune response to a respiratory virus and a model of transmission using an easily modifiable set of rules allowing further refining and merging the two models together. The immune response model reproduces the expected response curve of PCR testing for COVID-19 and implies a long-tailed distribution of infectiousness reflective of individual heterogeneity. This immune response model, when combined with a transmission model, reproduces the previously reported shift in the population distribution of viral loads along an epidemic trajectory. This article is part of the theme issue ‘Technical challenges of modelling real-life epidemics and examples of overcoming these’.
CORE (RIOXX-UK Aggre... arrow_drop_down Spiral - Imperial College Digital RepositoryArticle . 2022License: CC BYData sources: Spiral - Imperial College Digital RepositoryPhilosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2022 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: Crossrefhttps://doi.org/10.48550/arxiv...Article . 2021License: arXiv Non-Exclusive DistributionData sources: DataciteHyper Article en Ligne; Hal-DiderotOther literature type . Preprint . 2021add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rsta.2021.0307&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen bronze 9 citations 9 popularity Top 10% influence Average impulse Top 10% Powered by BIP!visibility 70visibility views 70 download downloads 64 Powered bymore_vert CORE (RIOXX-UK Aggre... arrow_drop_down Spiral - Imperial College Digital RepositoryArticle . 2022License: CC BYData sources: Spiral - Imperial College Digital RepositoryPhilosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2022 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: Crossrefhttps://doi.org/10.48550/arxiv...Article . 2021License: arXiv Non-Exclusive DistributionData sources: DataciteHyper Article en Ligne; Hal-DiderotOther literature type . Preprint . 2021add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rsta.2021.0307&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Book 2016 FrancePublisher:Hindawi Limited Authors: Jong-Hyouk Lee; Kamal Deep Singh; Yassine Hadjadj-Aoul; Neeraj Kumar;Jong-Hyouk Lee; Kamal Deep Singh; Yassine Hadjadj-Aoul; Neeraj Kumar;doi: 10.1155/2016/8206548
International audience
Mobile Information S... arrow_drop_down HAL-Rennes 1; Hyper Article en Ligne; Hal-DiderotOther literature type . Book . 2016add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1155/2016/8206548&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess Routesgold 3 citations 3 popularity Average influence Average impulse Average Powered by BIP!more_vert Mobile Information S... arrow_drop_down HAL-Rennes 1; Hyper Article en Ligne; Hal-DiderotOther literature type . Book . 2016add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1155/2016/8206548&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Book , Other literature type 2023 FrancePublisher:Now Publishers Funded by:ANR | 3IA@cote d'azur, EC | G-StatisticsANR| 3IA@cote d'azur ,EC| G-StatisticsAuthors: Guigui, Nicolas; Miolane, Nina; Pennec, Xavier;Guigui, Nicolas; Miolane, Nina; Pennec, Xavier;International audience; As data is a predominant resource in applications, Riemannian geometry is a natural framework to model and unify complex nonlinear sources of data.However, the development of computational tools from the basic theory of Riemannian geometry is laborious.The work presented here forms one of the main contributions to the open-source project geomstats, that consists in a Python package providing efficient implementations of the concepts of Riemannian geometry and geometric statistics, both for mathematicians and for applied scientists for whom most of the difficulties are hidden under high-level functions. The goal of this monograph is two-fold. First, we aim at giving a self-contained exposition of the basic concepts of Riemannian geometry, providing illustrations and examples at each step and adopting a computational point of view. The second goal is to demonstrate how these concepts are implemented in Geomstats, explaining the choices that were made and the conventions chosen. The general concepts are exposed and specific examples are detailed along the text.The culmination of this implementation is to be able to perform statistics and machine learning on manifolds, with as few lines of codes as in the wide-spread machine learning tool scikit-learn. We exemplify this with an introduction to geometric statistics.
HAL Descartes; INRIA... arrow_drop_down HAL Descartes; INRIA a CCSD electronic archive server; Mémoires en Sciences de l'Information et de la CommunicationArticle . 2023License: CC BYFoundations and Trends® in Machine LearningArticle . 2023 . Peer-reviewedHAL DescartesArticle . 2023License: CC BYFull-Text: https://hal.inria.fr/hal-03766900/documentData sources: HAL Descartesadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1561/9781638281559&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess Routesbronze 4 citations 4 popularity Top 10% influence Average impulse Average Powered by BIP!more_vert HAL Descartes; INRIA... arrow_drop_down HAL Descartes; INRIA a CCSD electronic archive server; Mémoires en Sciences de l'Information et de la CommunicationArticle . 2023License: CC BYFoundations and Trends® in Machine LearningArticle . 2023 . Peer-reviewedHAL DescartesArticle . 2023License: CC BYFull-Text: https://hal.inria.fr/hal-03766900/documentData sources: HAL Descartesadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1561/9781638281559&type=result"></script>'); --> </script>
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description Publicationkeyboard_double_arrow_right Preprint , Article , Research 2016 United States, France, France, Switzerland, FrancePublisher:The Royal Society Funded by:EC | GEQITEC| GEQITAuthors: Sutter, David; Fawzi, Omar; Renner, Renato;Sutter, David; Fawzi, Omar; Renner, Renato;A central question in quantum information theory is to determine how well lost information can be reconstructed. Crucially, the corresponding recovery operation should perform well without knowing the information to be reconstructed. In this work, we show that the quantum conditional mutual information measures the performance of such recovery operations. More precisely, we prove that the conditional mutual information $I(A:C|B)$ of a tripartite quantum state $\rho_{ABC}$ can be bounded from below by its distance to the closest recovered state $\mathcal{R}_{B \to BC}(\rho_{AB})$, where the $C$-part is reconstructed from the $B$-part only and the recovery map $\mathcal{R}_{B \to BC}$ merely depends on $\rho_{BC}$. One particular application of this result implies the equivalence between two different approaches to define topological order in quantum systems. Comment: v3: 31 pages, 1 figure, application to topological order of quantum systems added (Section 3). v2: 29 pages, relation to [Wilde, arXiv:1505.04661] clarified (Remark 2.5)
Caltech Authors arrow_drop_down Europe PubMed CentralArticle . 2016Full-Text: http://europepmc.org/articles/PMC4841654Data sources: PubMed CentralProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticleLicense: CC BYData sources: UnpayWallProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2016 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: CrossrefHyper Article en Ligne; Hal-DiderotOther literature type . Article . 2016https://doi.org/10.48550/arxiv...Article . 2015License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rspa.2015.0623&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen hybrid 50 citations 50 popularity Top 10% influence Top 10% impulse Top 10% Powered by BIP!more_vert Caltech Authors arrow_drop_down Europe PubMed CentralArticle . 2016Full-Text: http://europepmc.org/articles/PMC4841654Data sources: PubMed CentralProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticleLicense: CC BYData sources: UnpayWallProceedings of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2016 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: CrossrefHyper Article en Ligne; Hal-DiderotOther literature type . Article . 2016https://doi.org/10.48550/arxiv...Article . 2015License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rspa.2015.0623&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Other literature type , Research , Preprint 2018Embargo end date: 01 Jan 2018 United Kingdom, France, France, FrancePublisher:arXiv Authors: Cucuringu, M; Tyagi, H;Cucuringu, M; Tyagi, H;Consider an unknown smooth function $f: [0,1]^d \rightarrow \mathbb{R}$, and say we are given $n$ noisy mod 1 samples of $f$, i.e., $y_i = (f(x_i) + \eta_i)\mod 1$, for $x_i \in [0,1]^d$, where $\eta_i$ denotes the noise. Given the samples $(x_i,y_i)_{i=1}^{n}$, our goal is to recover smooth, robust estimates of the clean samples $f(x_i) \bmod 1$. We formulate a natural approach for solving this problem, which works with angular embeddings of the noisy mod 1 samples over the unit circle, inspired by the angular synchronization framework. This amounts to solving a smoothness regularized least-squares problem -- a quadratically constrained quadratic program (QCQP) -- where the variables are constrained to lie on the unit circle. Our approach is based on solving its relaxation, which is a trust-region sub-problem and hence solvable efficiently. We provide theoretical guarantees demonstrating its robustness to noise for adversarial, and random Gaussian and Bernoulli noise models. To the best of our knowledge, these are the first such theoretical results for this problem. We demonstrate the robustness and efficiency of our approach via extensive numerical simulations on synthetic data, along with a simple least-squares solution for the unwrapping stage, that recovers the original samples of $f$ (up to a global shift). It is shown to perform well at high levels of noise, when taking as input the denoised modulo $1$ samples. Finally, we also consider two other approaches for denoising the modulo 1 samples that leverage tools from Riemannian optimization on manifolds, including a Burer-Monteiro approach for a semidefinite programming relaxation of our formulation. For the two-dimensional version of the problem, which has applications in radar interferometry, we are able to solve instances of real-world data with a million sample points in under 10 seconds, on a personal laptop. Comment: 68 pages, 32 figures. arXiv admin note: text overlap with arXiv:1710.10210
Oxford University Re... arrow_drop_down Oxford University Research ArchiveOther literature type . 2019License: CC BYData sources: Oxford University Research ArchiveHal-DiderotArticle . 2020Full-Text: https://hal.inria.fr/hal-02379573/documentData sources: Hal-Diderothttps://doi.org/10.48550/arxiv...Article . 2018License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.48550/arxiv.1803.03669&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen gold more_vert Oxford University Re... arrow_drop_down Oxford University Research ArchiveOther literature type . 2019License: CC BYData sources: Oxford University Research ArchiveHal-DiderotArticle . 2020Full-Text: https://hal.inria.fr/hal-02379573/documentData sources: Hal-Diderothttps://doi.org/10.48550/arxiv...Article . 2018License: arXiv Non-Exclusive DistributionData sources: Dataciteadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.48550/arxiv.1803.03669&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Book , Preprint 2022 United Kingdom, France, France, ItalyPublisher:The Royal Society Funded by:UKRI | Investigating SARS-CoV-2 ..., WT | Immunity dynamics and epi...UKRI| Investigating SARS-CoV-2 Transmission in UK Jewish Communities ,WT| Immunity dynamics and epidemiology of cross-reactive pathogensW. Waites; M. Cavaliere; V. Danos; R. Datta; R. M. Eggo; T. B. Hallett; D. Manheim; J. Panovska-Griffiths; T. W. Russell; V. I. Zarnitsyna;Transmission models for infectious diseases are typically formulated in terms of dynamics between individuals or groups with processes such as disease progression or recovery for each individual captured phenomenologically, without reference to underlying biological processes. Furthermore, the construction of these models is often monolithic: they do not allow one to readily modify the processes involved or include the new ones, or to combine models at different scales. We show how to construct a simple model of immune response to a respiratory virus and a model of transmission using an easily modifiable set of rules allowing further refining and merging the two models together. The immune response model reproduces the expected response curve of PCR testing for COVID-19 and implies a long-tailed distribution of infectiousness reflective of individual heterogeneity. This immune response model, when combined with a transmission model, reproduces the previously reported shift in the population distribution of viral loads along an epidemic trajectory. This article is part of the theme issue ‘Technical challenges of modelling real-life epidemics and examples of overcoming these’.
CORE (RIOXX-UK Aggre... arrow_drop_down Spiral - Imperial College Digital RepositoryArticle . 2022License: CC BYData sources: Spiral - Imperial College Digital RepositoryPhilosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2022 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: Crossrefhttps://doi.org/10.48550/arxiv...Article . 2021License: arXiv Non-Exclusive DistributionData sources: DataciteHyper Article en Ligne; Hal-DiderotOther literature type . Preprint . 2021add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rsta.2021.0307&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess RoutesGreen bronze 9 citations 9 popularity Top 10% influence Average impulse Top 10% Powered by BIP!visibility 70visibility views 70 download downloads 64 Powered bymore_vert CORE (RIOXX-UK Aggre... arrow_drop_down Spiral - Imperial College Digital RepositoryArticle . 2022License: CC BYData sources: Spiral - Imperial College Digital RepositoryPhilosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesArticle . 2022 . Peer-reviewedLicense: Royal Society Data Sharing and AccessibilityData sources: Crossrefhttps://doi.org/10.48550/arxiv...Article . 2021License: arXiv Non-Exclusive DistributionData sources: DataciteHyper Article en Ligne; Hal-DiderotOther literature type . Preprint . 2021add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1098/rsta.2021.0307&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Book 2016 FrancePublisher:Hindawi Limited Authors: Jong-Hyouk Lee; Kamal Deep Singh; Yassine Hadjadj-Aoul; Neeraj Kumar;Jong-Hyouk Lee; Kamal Deep Singh; Yassine Hadjadj-Aoul; Neeraj Kumar;doi: 10.1155/2016/8206548
International audience
Mobile Information S... arrow_drop_down HAL-Rennes 1; Hyper Article en Ligne; Hal-DiderotOther literature type . Book . 2016add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1155/2016/8206548&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess Routesgold 3 citations 3 popularity Average influence Average impulse Average Powered by BIP!more_vert Mobile Information S... arrow_drop_down HAL-Rennes 1; Hyper Article en Ligne; Hal-DiderotOther literature type . Book . 2016add ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1155/2016/8206548&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eudescription Publicationkeyboard_double_arrow_right Article , Book , Other literature type 2023 FrancePublisher:Now Publishers Funded by:ANR | 3IA@cote d'azur, EC | G-StatisticsANR| 3IA@cote d'azur ,EC| G-StatisticsAuthors: Guigui, Nicolas; Miolane, Nina; Pennec, Xavier;Guigui, Nicolas; Miolane, Nina; Pennec, Xavier;International audience; As data is a predominant resource in applications, Riemannian geometry is a natural framework to model and unify complex nonlinear sources of data.However, the development of computational tools from the basic theory of Riemannian geometry is laborious.The work presented here forms one of the main contributions to the open-source project geomstats, that consists in a Python package providing efficient implementations of the concepts of Riemannian geometry and geometric statistics, both for mathematicians and for applied scientists for whom most of the difficulties are hidden under high-level functions. The goal of this monograph is two-fold. First, we aim at giving a self-contained exposition of the basic concepts of Riemannian geometry, providing illustrations and examples at each step and adopting a computational point of view. The second goal is to demonstrate how these concepts are implemented in Geomstats, explaining the choices that were made and the conventions chosen. The general concepts are exposed and specific examples are detailed along the text.The culmination of this implementation is to be able to perform statistics and machine learning on manifolds, with as few lines of codes as in the wide-spread machine learning tool scikit-learn. We exemplify this with an introduction to geometric statistics.
HAL Descartes; INRIA... arrow_drop_down HAL Descartes; INRIA a CCSD electronic archive server; Mémoires en Sciences de l'Information et de la CommunicationArticle . 2023License: CC BYFoundations and Trends® in Machine LearningArticle . 2023 . Peer-reviewedHAL DescartesArticle . 2023License: CC BYFull-Text: https://hal.inria.fr/hal-03766900/documentData sources: HAL Descartesadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1561/9781638281559&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.euAccess Routesbronze 4 citations 4 popularity Top 10% influence Average impulse Average Powered by BIP!more_vert HAL Descartes; INRIA... arrow_drop_down HAL Descartes; INRIA a CCSD electronic archive server; Mémoires en Sciences de l'Information et de la CommunicationArticle . 2023License: CC BYFoundations and Trends® in Machine LearningArticle . 2023 . Peer-reviewedHAL DescartesArticle . 2023License: CC BYFull-Text: https://hal.inria.fr/hal-03766900/documentData sources: HAL Descartesadd ClaimPlease grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.This Research product is the result of merged Research products in OpenAIRE.
You have already added works in your ORCID record related to the merged Research product.All Research productsarrow_drop_down <script type="text/javascript"> <!-- document.write('<div id="oa_widget"></div>'); document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=10.1561/9781638281559&type=result"></script>'); --> </script>
For further information contact us at helpdesk@openaire.eu