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    Concentration of the empirical measure in Wasserstein distance: bounds involving the covering dimension

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    We give concentration inequalities in Wasserstein distance for the empirical measure of a sequence of independent and identically distributed random variables with values in a Polish space E. These inequalities involve the covering dimension of the support of the distribution of the variables. More precisely, we obtain a complete extension of the concentration inequalities of Fournier and Guillin [2015] in the case where E = R^d , in which the covering dimension replaces the dimension of the ambient space E

    OMP multidimensionnel déplié sous contraintes physiques pour les systèmes MIMO à grande échelle

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    Sparse recovery methods are essential for channel estimation and localization in modern communication systems, but their reliability relies on accurate physical models, which are rarely perfectly known. Their computational complexity also grows rapidly with the dictionary dimensions in large MIMO systems. In this paper, we propose MOMPnet, a novel unfolded sparse recovery framework that addresses both the reliability and complexity challenges of traditional methods. By integrating deep unfolding with data-driven dictionary learning, MOMPnet mitigates hardware impairments while preserving interpretability. Instead of a single large dictionary, multiple smaller, independent dictionaries are employed, enabling a low-complexity multidimensional Orthogonal Matching Pursuit algorithm. The proposed unfolded network is evaluated on realistic channel data against multiple baselines, demonstrating its strong performance and potential

    What are the ethical considerations when supporting single women undergoing medically assisted reproduction (MAR) ?

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    International audienceBackgroundSince the revision of French bioethics laws in 2021, requests for medically assisted reproduction (MAR) from single women have increased significantly. Specific challenges are faced by CECOS (Centre d'Étude et de Conservation des Ovocytes et du Sperme humain).PurposeThis article questions the ethical aspects of current support for single women undergoing MAR and motherhood.MethodsHere, we analyze single motherhood through the lens of the founding principles of medical ethics: respect for beneficence, non-maleficence, autonomy and justice.FindingsThe decision of a ‘single’ woman to start a family through MAR, without a partner (which does not mean that she is isolated or lonely) as being on the margins of dominant social family norms. Concerns may be expressed about the absence of a second parent and may sometimes mask value judgements on the part of relatives and healthcare professionals.ConclusionsIt is important to support all types of motherhood by consolidating services dedicated to maternal and child health

    : Note sous Cass. 2e Civ. 11 décembre 2025, n°22-23.733

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    Modular and adaptive implementation of Semantic Segmentation Models for Satellite Images and Open Source tools suitable for complex geographical contexts

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    International audienceSemantic segmentation, the process of assigning a semantic label to each pixel in an image, is a critical computer vision task for extracting detailed information from remote sensing data. However, its application to complex geographical contexts, such as coastal wetlands, is often constrained by the need for highly specialized implementations, class imbalance, and limited accessibility for non-specialists. This paper introduces a novel, modular, and adaptive open-source framework for semantic segmentation tailored to satellite imagery. Designed for maximum flexibility, the framework supports both binary and multi-class segmentation tasks and incorporates specific training strategies to handle severe class imbalances inherent in ecological detection, such as salt marsh mapping. The implementation provides a fully configurable pipeline that bridges the gap between Geographic Information Systems (GIS) and Deep Learning (DL). It integrates QGIS for intuitive spatial preprocessing and grid generation with a Python-based training and prediction workflow, thereby democratizing access to advanced segmentation techniques. The framework is architecture-agnostic, allowing the seamless deployment and benchmarking of various state-of-the-art encoder-decoder models, which are effective at combining multi-scale contextual information with high spatial resolution. A key contribution is the integration of a multifaceted training methodology that includes hybrid loss functions with dynamic class weighting and spectral-consistent data augmentation to ensure robust model generalization from limited and imbalanced datasets. We demonstrate the framework's efficacy and scalability through two distinct case studies: a multi-class land cover classification on the Crozon Peninsula using Pléiades and a binary salt marsh detection in the Mont-Saint-Michel Bay Sentinel-2 imagery. The results show that accurate segmentation can be achieved with modest computational resources, promoting more sustainable and ethical AI applications in environmental monitoring. This work provides a critical tool for researchers and practitioners aiming to apply advanced DL segmentation to domain specific remote sensing challenges beyond conventional benchmarks

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