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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Dejean, Sylvain; Tarascou, Sophie;

    Le déploiement de la fibre optique est une condition nécessaire pour relever les défis posés par l’économie numérique du XXIe siècle. Si 80 % des français se voient promettre à l’horizon 2022 d’avoir accès à la fibre à domicile, nous savons encore peu de choses sur les disparités locales et régionales que cela pourrait occasionner. Dans cet article, nous essayons, en nous basant sur des jeux de données hétérogènes, de développer une méthode permettant d’estimer les besoins des populations en connexion très haut débit afin de les confronter à la présence ou non de la fibre optique sur leur territoire. Parmi nos principaux résultats, nous montrons qu’il existe de fortes disparités territoriales dans l’accès et dans les besoins, certaines communes notamment péri-urbaines, représentant presque 3 millions d’habitants, pourraient être, au regard de leurs besoins, particulièrement fragilisées par l’absence de fibre optique.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ Hyper Article en Lig...arrow_drop_down
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    Canadian Journal of Regional Science; Érudit
    Other literature type . Article . 2022 . Peer-reviewed
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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Maanan, Mohamed; Kacem, Hicham,; Bouroubi, Yacine; Khomalli, Youssef; +5 Authors

    Abstract Land degradation is a problem that increasingly affects large areas of territories and affects various ecosystem services provided by coastal wetlands. These marine ecosystems provide valuable benefits to the environment and to humans, including services such as coastal blue carbon sequestration (CBCS) the economic value of which is still poorly understood. This paper investigated land use/cover (LULC) changes in Moulay Bousselham lagoon (MBL) from 1971 to 2020 and their effects on CBCS variation. The transformation of LULC and their cumulative conversions in coastal wetlands were studied during the 1971-2010 and 2010-2020 periods based on LULC data. Then the InVEST model was used to quantify the carbon storage provided by coastal ecosystems in response to LULC changes. The results show that the overall area of strictly wetland habitats in the MBL has decreased by 8.83% since 1971. There were 94 types of LULC transformation over 1971-2020, with significant wetland losses marked by the conversion of wet lawn and juncus meadow to cropland. Using recent estimates of social cost of carbon (SCC) and CO2 European Emission Allowances (EUA), the monetary value of CBCS service was calculated over the entire lagoon during the study period to reach gains between 371,053 and 3,803,295US$/y and losses between -10,127 and -103,806US$/y. If current trends of habitat loss continue, the capacity of coastal habitats to sequester and store CO2 will be significantly reduced. The study shows that revenues from CBCS service can accelerate the implementation of wetland rehabilitation strategies that have a positive impact on climate regulation.

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ https://doi.org/10.2...arrow_drop_down
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    https://doi.org/10.21203/rs.3....
    Preprint . 2021
    License: CC BY
    Data sources: Crossref
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    Preprint
    License: CC BY
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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Long, Nathalie; Cornut, Pierre; Kolb, Virginia;

    Abstract. The ongoing phenomenon of climate change is leading to an upsurge in the number of extreme events. Territories must adapt to these modifications in order to protect their populations and the properties present in coastal areas. The adaptation of coastal areas also aims to make them more resilient to future events. In this article, we examine two strategies for adapting to coastal risks: holding the coastal line through hard constructions such as seawalls or ripraps and the managed retreat of activities and populations to a part of the territory not exposed to hazards. In France, these approaches are financed by a solidarity insurance system at the national level as well as local taxes. These solidarity systems aim to compensate the affected populations and finance implementation of the strategies chosen by local authorities. However, the French mainland coast generally attracts affluent residents, the price of land being higher than inland. This situation induces the presence of inequalities in these territories, inequalities which can be maintained or reinforced in the short and medium term when a defence strategy based on hard constructions is implemented. In such a trajectory, it appears that these territories would be less resilient in the long term, because of the maintenance costs of the structures and the uncertainties relating to the hazards (submersion, rising sea levels, erosion). Conversely, with a managed retreat strategy, inequalities would instead be done away with, since property and populations would no longer be exposed to hazards, which would cost society less and would lead these territories towards greater resilience in the long term. Only one social group would be strongly impacted by this strategy in the short term when they are subjected to a managed retreat to another part of the territory.

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    https://doi.org/10.5194/nhess-...
    Preprint . 2020 . Peer-reviewed
    License: CC BY
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    Natural Hazards and Earth System Sciences
    Article . Preprint . 2021
    License: CC BY
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    Natural Hazards and Earth System Sciences
    Article . 2021 . Peer-reviewed
    License: CC BY
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    DOAJ
    Article . 2021
    Data sources: DOAJ
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    Article . 2021
    Data sources: Hal-Diderot
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      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ https://doi.org/10.5...arrow_drop_down
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      https://doi.org/10.5194/nhess-...
      Preprint . 2020 . Peer-reviewed
      License: CC BY
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      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
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      Natural Hazards and Earth System Sciences
      Article . Preprint . 2021
      License: CC BY
      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
      Natural Hazards and Earth System Sciences
      Article . 2021 . Peer-reviewed
      License: CC BY
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      image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
      DOAJ
      Article . 2021
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      Article . 2021
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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Carsault, Tristan; Nika, J��r��me; Esling, Philippe;

    Recent researches on Automatic Chord Extraction (ACE) have focused on the improvement of models based on machine learning. However, most models still fail to take into account the prior knowledge underlying the labeling alphabets (chord labels). Furthermore, recent works have shown that ACE performances are converging towards a glass ceiling. Therefore, this prompts the need to focus on other aspects of the task, such as the introduction of musical knowledge in the representation, the improvement of the models towards more complex chord alphabets and the development of more adapted evaluation methods. In this paper, we propose to exploit specific properties and relationships between chord labels in order to improve the learning of statistical ACE models. Hence, we analyze the interdependence of the representations of chords and their associated distances, the precision of the chord alphabets, and the impact of the reduction of the alphabet before or after training of the model. Furthermore, we propose new training losses based on musical theory. We show that these improve the results of ACE systems based on Convolutional Neural Networks. By performing an in-depth analysis of our results, we uncover a set of related insights on ACE tasks based on statistical models, and also formalize the musical meaning of some classification errors. Accepted for publication in ISMIR, 2018

    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
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    ZENODO
    Conference object . 2018
    License: CC BY
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    ZENODO
    Conference object . 2018
    License: CC BY
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    image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Hyper Article en Ligne
    Other literature type . 2018
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    https://doi.org/10.48550/arxiv...
    Article . 2019
    License: arXiv Non-Exclusive Distribution
    Data sources: Datacite
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      ZENODO
      Conference object . 2018
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      ZENODO
      Conference object . 2018
      License: CC BY
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      Hyper Article en Ligne
      Other literature type . 2018
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      https://doi.org/10.48550/arxiv...
      Article . 2019
      License: arXiv Non-Exclusive Distribution
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    Authors: Daniele Bonadiman; Antonio Uva; Alessandro Moschitti;

    In this paper, we developed a deep neural network (DNN) that learns to solve simultaneously the three tasks of the cQA challenge proposed by the SemEval-2016 Task 3, i.e., question-comment similarity, question-question similarity and new question-comment similarity. The latter is the main task, which can exploit the previous two for achieving better results. Our DNN is trained jointly on all the three cQA tasks and learns to encode questions and comments into a single vector representation shared across the multiple tasks. The results on the official challenge test set show that our approach produces higher accuracy and faster convergence rates than the individual neural networks. Additionally, our method, which does not use any manual feature engineering, approaches the state of the art established with methods that make heavy use of it.

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    IJCoL
    Article . 2017 . Peer-reviewed
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    DOAJ
    Article . 2017
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    https://doi.org/10.48550/arxiv...
    Article . 2017
    License: arXiv Non-Exclusive Distribution
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      IJCoL
      Article . 2017 . Peer-reviewed
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      https://doi.org/10.48550/arxiv...
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    Authors: D’ALBIS, Hippolyte; AUGERAUD VERON, Emmanuelle; HUPKES, Hermen Jan;

    International audience; We characterize the determinacy properties of the intertemporal equilibrium for a continuous-time, pure-exchange, overlapping generations economy with logarithmic preferences. Using recent advances in the theory of functional differential equations, we show that the equilibrium is locally unique and that prices converge to a balanced growth path and are determined.

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    Oskar Bordeaux
    Article . 2015
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    Journal of Mathematical Economics
    Article . 2015 . Peer-reviewed
    License: Elsevier TDM
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    Authors: Emmanuelle Augeraud-Véron; Marc Leandri;

    Abstract We present a model of optimal stock pollution control with general distributed delays in the stock accumulation dynamics. Using generic functional forms and a distribution structure covering a wide range of distributions, we solve analytically the complex dynamic system that arises from the introduction of these distributed delays. From a theoretical standpoint, our contribution extends the dynamic optimization literature that focused on single discrete delays and develops an original method to address control problems written as mixed type functional differential equations with general kernels. Our results show the qualitative impact of acknowledging these distributed delays on the optimal pollution paths dynamics. We study analytically the properties of the dynamics and we identify the conditions for the occurrence of limit cycles. This theoretical work contributes to the design of efficient environmental policies in the presence of complex delays.

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    Oskar Bordeaux
    Article . 2014
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    Journal of Mathematical Economics
    Article . 2014 . Peer-reviewed
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    Other literature type . 2013
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    Authors: d'Albis, Hippolyte; Augeraud-Véron, Emmanuelle; Hupkes, Hermen Jan;

    International audience; This paper analyzes the solution of linear mixed-type functional differential equations with either predetermined or non-predetermined variables. Conditions characterizing the existence and uniqueness of a solution are given and related to the local stability and determinacy properties of the steady state. In particular, it is shown that the relationship between the uniqueness of the solution and the stability of the steady-state is more subtle than the one that holds for ordinary differential equations, and gives rise to new dynamic configurations.

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    Journal of Mathematical Economics
    Article . 2014 . Peer-reviewed
    License: Elsevier TDM
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    Authors: d'Albis, Hippolyte; Augeraud-Véron, Emmanuelle; Hupkes, Hermen Jan;

    Cet article propose des conditions d'existence et d'unicité des solutions de systèmes linéaires d'équations différentielles ou algébriques avec délais ou avances, dans lesquelles certaines variables peuvent être non prédéterminées. Les conditions obtenues représentent l'équivalent des conditions de Blanchard et Kahn pour les équations fonctionnelles que nous considérons. This paper proposes conditions for the existence and uniqueness of solutions to systems of linear differential or algebraic equations with delays or advances, in which some variables may be non predetermined. The obtained conditions represent the counterpart of the Blanchard and Kahn conditions for the considered functional equations.

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    Other literature type . 2013
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    image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
    Journal of Mathematical Economics
    Article . 2014 . Peer-reviewed
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    Authors: d'Albis, Hippolyte; Augeraud-Véron, Emmanuelle;

    Dans un article récent, Demichelis et Polemarchakis (2007) ont mis en avant le rôle de la fréquence des échanges sur le degré d'indétermination de l'équilibre d'une économie à générations imbriquées. Sous l'hypothèse que le temps débute à une date finie et s'étend à l'infini, ils démontrent que le degré d'indétermination s'accroît avec le nombre de périodes dont est composée la durée de vie, supposée certaine, des individus. Nous montrons que ce résultat ne tient plus lorsque la durée de vie est incertaine. Nous construisons un modèle en temps discret qui converge uniformément vers un modèle à générations imbriquées en temps continu standard lorsque la fréquence des échanges est infinie. En calculant les prix d'équilibre, nous montrons que le degré d'indétermination est indépendant de la fréquence des échanges et est toujours égal à un. In a recent article, Demichelis and Polemarchakis (2007) highlighted the role played by the frequency of trade on the degree of indeterminacy of equilibrium in economies of overlapping generations. Assuming that time has a finite starting point and extends into the infinite future, they prove that the degree of indeterminacy increases with the number of periods in the life-span of individuals, which is assumed to be certain. We show that this result does not hold when individual longevity is uncertain. We build a discrete time model that uniformly converges to a standard continuous time overlapping-generation model when the frequency of trade is infinite. Deriving the equilibrium prices, we demonstrate that the degree of indeterminacy is independent of the frequency of trade and is always equal to one.

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    International Journal of Economic Theory
    Article . 2013 . Peer-reviewed
    License: Wiley Online Library User Agreement
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  • image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
    Authors: Dejean, Sylvain; Tarascou, Sophie;

    Le déploiement de la fibre optique est une condition nécessaire pour relever les défis posés par l’économie numérique du XXIe siècle. Si 80 % des français se voient promettre à l’horizon 2022 d’avoir accès à la fibre à domicile, nous savons encore peu de choses sur les disparités locales et régionales que cela pourrait occasionner. Dans cet article, nous essayons, en nous basant sur des jeux de données hétérogènes, de développer une méthode permettant d’estimer les besoins des populations en connexion très haut débit afin de les confronter à la présence ou non de la fibre optique sur leur territoire. Parmi nos principaux résultats, nous montrons qu’il existe de fortes disparités territoriales dans l’accès et dans les besoins, certaines communes notamment péri-urbaines, représentant presque 3 millions d’habitants, pourraient être, au regard de leurs besoins, particulièrement fragilisées par l’absence de fibre optique.

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    Canadian Journal of Regional Science; Érudit
    Other literature type . Article . 2022 . Peer-reviewed
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    Authors: Maanan, Mohamed; Kacem, Hicham,; Bouroubi, Yacine; Khomalli, Youssef; +5 Authors

    Abstract Land degradation is a problem that increasingly affects large areas of territories and affects various ecosystem services provided by coastal wetlands. These marine ecosystems provide valuable benefits to the environment and to humans, including services such as coastal blue carbon sequestration (CBCS) the economic value of which is still poorly understood. This paper investigated land use/cover (LULC) changes in Moulay Bousselham lagoon (MBL) from 1971 to 2020 and their effects on CBCS variation. The transformation of LULC and their cumulative conversions in coastal wetlands were studied during the 1971-2010 and 2010-2020 periods based on LULC data. Then the InVEST model was used to quantify the carbon storage provided by coastal ecosystems in response to LULC changes. The results show that the overall area of strictly wetland habitats in the MBL has decreased by 8.83% since 1971. There were 94 types of LULC transformation over 1971-2020, with significant wetland losses marked by the conversion of wet lawn and juncus meadow to cropland. Using recent estimates of social cost of carbon (SCC) and CO2 European Emission Allowances (EUA), the monetary value of CBCS service was calculated over the entire lagoon during the study period to reach gains between 371,053 and 3,803,295US$/y and losses between -10,127 and -103,806US$/y. If current trends of habitat loss continue, the capacity of coastal habitats to sequester and store CO2 will be significantly reduced. The study shows that revenues from CBCS service can accelerate the implementation of wetland rehabilitation strategies that have a positive impact on climate regulation.

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    https://doi.org/10.21203/rs.3....
    Preprint . 2021
    License: CC BY
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    Authors: Long, Nathalie; Cornut, Pierre; Kolb, Virginia;

    Abstract. The ongoing phenomenon of climate change is leading to an upsurge in the number of extreme events. Territories must adapt to these modifications in order to protect their populations and the properties present in coastal areas. The adaptation of coastal areas also aims to make them more resilient to future events. In this article, we examine two strategies for adapting to coastal risks: holding the coastal line through hard constructions such as seawalls or ripraps and the managed retreat of activities and populations to a part of the territory not exposed to hazards. In France, these approaches are financed by a solidarity insurance system at the national level as well as local taxes. These solidarity systems aim to compensate the affected populations and finance implementation of the strategies chosen by local authorities. However, the French mainland coast generally attracts affluent residents, the price of land being higher than inland. This situation induces the presence of inequalities in these territories, inequalities which can be maintained or reinforced in the short and medium term when a defence strategy based on hard constructions is implemented. In such a trajectory, it appears that these territories would be less resilient in the long term, because of the maintenance costs of the structures and the uncertainties relating to the hazards (submersion, rising sea levels, erosion). Conversely, with a managed retreat strategy, inequalities would instead be done away with, since property and populations would no longer be exposed to hazards, which would cost society less and would lead these territories towards greater resilience in the long term. Only one social group would be strongly impacted by this strategy in the short term when they are subjected to a managed retreat to another part of the territory.

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    https://doi.org/10.5194/nhess-...
    Preprint . 2020 . Peer-reviewed
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    Natural Hazards and Earth System Sciences
    Article . Preprint . 2021
    License: CC BY
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    Natural Hazards and Earth System Sciences
    Article . 2021 . Peer-reviewed
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    Article . 2021
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    Article . 2021
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      https://doi.org/10.5194/nhess-...
      Preprint . 2020 . Peer-reviewed
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      Natural Hazards and Earth System Sciences
      Article . Preprint . 2021
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      Natural Hazards and Earth System Sciences
      Article . 2021 . Peer-reviewed
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      Article . 2021
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    Authors: Carsault, Tristan; Nika, J��r��me; Esling, Philippe;

    Recent researches on Automatic Chord Extraction (ACE) have focused on the improvement of models based on machine learning. However, most models still fail to take into account the prior knowledge underlying the labeling alphabets (chord labels). Furthermore, recent works have shown that ACE performances are converging towards a glass ceiling. Therefore, this prompts the need to focus on other aspects of the task, such as the introduction of musical knowledge in the representation, the improvement of the models towards more complex chord alphabets and the development of more adapted evaluation methods. In this paper, we propose to exploit specific properties and relationships between chord labels in order to improve the learning of statistical ACE models. Hence, we analyze the interdependence of the representations of chords and their associated distances, the precision of the chord alphabets, and the impact of the reduction of the alphabet before or after training of the model. Furthermore, we propose new training losses based on musical theory. We show that these improve the results of ACE systems based on Convolutional Neural Networks. By performing an in-depth analysis of our results, we uncover a set of related insights on ACE tasks based on statistical models, and also formalize the musical meaning of some classification errors. Accepted for publication in ISMIR, 2018

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    https://doi.org/10.48550/arxiv...
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      https://doi.org/10.48550/arxiv...
      Article . 2019
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    Authors: Daniele Bonadiman; Antonio Uva; Alessandro Moschitti;

    In this paper, we developed a deep neural network (DNN) that learns to solve simultaneously the three tasks of the cQA challenge proposed by the SemEval-2016 Task 3, i.e., question-comment similarity, question-question similarity and new question-comment similarity. The latter is the main task, which can exploit the previous two for achieving better results. Our DNN is trained jointly on all the three cQA tasks and learns to encode questions and comments into a single vector representation shared across the multiple tasks. The results on the official challenge test set show that our approach produces higher accuracy and faster convergence rates than the individual neural networks. Additionally, our method, which does not use any manual feature engineering, approaches the state of the art established with methods that make heavy use of it.

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    IJCoL
    Article . 2017 . Peer-reviewed
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    https://doi.org/10.48550/arxiv...
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    Authors: D’ALBIS, Hippolyte; AUGERAUD VERON, Emmanuelle; HUPKES, Hermen Jan;

    International audience; We characterize the determinacy properties of the intertemporal equilibrium for a continuous-time, pure-exchange, overlapping generations economy with logarithmic preferences. Using recent advances in the theory of functional differential equations, we show that the equilibrium is locally unique and that prices converge to a balanced growth path and are determined.

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    Oskar Bordeaux
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    Journal of Mathematical Economics
    Article . 2015 . Peer-reviewed
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    Authors: Emmanuelle Augeraud-Véron; Marc Leandri;

    Abstract We present a model of optimal stock pollution control with general distributed delays in the stock accumulation dynamics. Using generic functional forms and a distribution structure covering a wide range of distributions, we solve analytically the complex dynamic system that arises from the introduction of these distributed delays. From a theoretical standpoint, our contribution extends the dynamic optimization literature that focused on single discrete delays and develops an original method to address control problems written as mixed type functional differential equations with general kernels. Our results show the qualitative impact of acknowledging these distributed delays on the optimal pollution paths dynamics. We study analytically the properties of the dynamics and we identify the conditions for the occurrence of limit cycles. This theoretical work contributes to the design of efficient environmental policies in the presence of complex delays.

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    Oskar Bordeaux
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    Journal of Mathematical Economics
    Article . 2014 . Peer-reviewed
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    Authors: d'Albis, Hippolyte; Augeraud-Véron, Emmanuelle; Hupkes, Hermen Jan;

    International audience; This paper analyzes the solution of linear mixed-type functional differential equations with either predetermined or non-predetermined variables. Conditions characterizing the existence and uniqueness of a solution are given and related to the local stability and determinacy properties of the steady state. In particular, it is shown that the relationship between the uniqueness of the solution and the stability of the steady-state is more subtle than the one that holds for ordinary differential equations, and gives rise to new dynamic configurations.

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    Journal of Mathematical Economics
    Article . 2014 . Peer-reviewed
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    Authors: d'Albis, Hippolyte; Augeraud-Véron, Emmanuelle; Hupkes, Hermen Jan;

    Cet article propose des conditions d'existence et d'unicité des solutions de systèmes linéaires d'équations différentielles ou algébriques avec délais ou avances, dans lesquelles certaines variables peuvent être non prédéterminées. Les conditions obtenues représentent l'équivalent des conditions de Blanchard et Kahn pour les équations fonctionnelles que nous considérons. This paper proposes conditions for the existence and uniqueness of solutions to systems of linear differential or algebraic equations with delays or advances, in which some variables may be non predetermined. The obtained conditions represent the counterpart of the Blanchard and Kahn conditions for the considered functional equations.

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    Journal of Mathematical Economics
    Article . 2014 . Peer-reviewed
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    Authors: d'Albis, Hippolyte; Augeraud-Véron, Emmanuelle;

    Dans un article récent, Demichelis et Polemarchakis (2007) ont mis en avant le rôle de la fréquence des échanges sur le degré d'indétermination de l'équilibre d'une économie à générations imbriquées. Sous l'hypothèse que le temps débute à une date finie et s'étend à l'infini, ils démontrent que le degré d'indétermination s'accroît avec le nombre de périodes dont est composée la durée de vie, supposée certaine, des individus. Nous montrons que ce résultat ne tient plus lorsque la durée de vie est incertaine. Nous construisons un modèle en temps discret qui converge uniformément vers un modèle à générations imbriquées en temps continu standard lorsque la fréquence des échanges est infinie. En calculant les prix d'équilibre, nous montrons que le degré d'indétermination est indépendant de la fréquence des échanges et est toujours égal à un. In a recent article, Demichelis and Polemarchakis (2007) highlighted the role played by the frequency of trade on the degree of indeterminacy of equilibrium in economies of overlapping generations. Assuming that time has a finite starting point and extends into the infinite future, they prove that the degree of indeterminacy increases with the number of periods in the life-span of individuals, which is assumed to be certain. We show that this result does not hold when individual longevity is uncertain. We build a discrete time model that uniformly converges to a standard continuous time overlapping-generation model when the frequency of trade is infinite. Deriving the equilibrium prices, we demonstrate that the degree of indeterminacy is independent of the frequency of trade and is always equal to one.

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    International Journal of Economic Theory
    Article . 2013 . Peer-reviewed
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