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\n\n \n \n \n \n \n \n On the Nonconvexity of Push-Forward Constraints and Its Consequences in Machine Learning.\n \n \n \n \n\n\n \n De Lara, L.; Deronzier, M.; González-Sanz, A.; and Foy, V.\n\n\n \n\n\n\n
SIAM Journal on Mathematics of Data Science, 7(2): 597-620. 2025.\n
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@article{delara2025nonconvexity,\r\nauthor = {De Lara, Lucas and Deronzier, Mathis and Gonz\\'{a}lez-Sanz, Alberto and Foy, Virgile},\r\ntitle = {On the Nonconvexity of Push-Forward Constraints and Its Consequences in Machine Learning},\r\njournal = {SIAM Journal on Mathematics of Data Science},\r\nvolume = {7},\r\nnumber = {2},\r\npages = {597-620},\r\nyear = {2025},\r\ndoi = {10.1137/24M1645036},\r\nurl_Link = {https://doi.org/10.1137/24M1645036},\r\nurl_Paper = {https://arxiv.org/pdf/2403.07471.pdf}\r\n}\r\n\r\n\n
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\n\n \n \n \n \n \n \n A Clarification on the Links Between Potential Outcomes and do-Interventions.\n \n \n \n \n\n\n \n De Lara, L.\n\n\n \n\n\n\n
Journal of Causal Inference, 13(1): 20240033. 2025.\n
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@article{delara2025clarification,\r\nurl = {https://doi.org/10.1515/jci-2024-0033},\r\ntitle = {A Clarification on the Links Between Potential Outcomes and do-Interventions},\r\nauthor = {De Lara, Lucas},\r\npages = {20240033},\r\nvolume = {13},\r\nnumber = {1},\r\njournal = {Journal of Causal Inference},\r\ndoi = {doi:10.1515/jci-2024-0033},\r\nyear = {2025},\r\nlastchecked = {2025-09-04}\r\n}\r\n\r\n% Pré-publications\r\n\r\n\n
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\n\n \n \n \n \n \n \n What Is a Good Matching of Probability Measures? A Counterfactual Lens on Transport Maps.\n \n \n \n \n\n\n \n De Lara, L.; and Ganassali, L.\n\n\n \n\n\n\n
arXiv preprint arXiv:2509.16027. 2025.\n
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@article{delara2025what,\r\n title={What Is a Good Matching of Probability Measures? A Counterfactual Lens on Transport Maps}, \r\n author={De Lara, Lucas and Ganassali, Luca},\r\n year={2025},\r\n journal={arXiv preprint arXiv:2509.16027},\r\n url_Paper={https://arxiv.org/pdf/2509.16027.pdf} \r\n}\r\n\r\n\r\n\r\n\r\n\n
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\n\n \n \n \n \n \n \n Transport-based Counterfactual Models.\n \n \n \n \n\n\n \n De Lara, L.; González-Sanz, A.; Asher, N.; Risser, L.; and Loubes, J.\n\n\n \n\n\n\n
Journal of Machine Learning Research, 25(136): 1–59. 2024.\n
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@article{delara2024transport,\r\n title={Transport-based Counterfactual Models},\r\n author={De Lara, Lucas and Gonz{\\'a}lez-Sanz, Alberto and Asher, Nicholas and Risser, Laurent and Loubes, Jean-Michel},\r\n journal={Journal of Machine Learning Research},\r\n volume={25},\r\n number={136},\r\n pages={1--59},\r\n year={2024},\r\n url_Link={https://www.jmlr.org/papers/v25/21-1440.html},\r\n url_Paper={https://www.jmlr.org/papers/volume25/21-1440/21-1440.pdf}\r\n}\r\n\r\n\n
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\n\n \n \n \n \n \n \n Diffeomorphic Registration using Sinkhorn Divergences.\n \n \n \n \n\n\n \n De Lara, L.; González-Sanz, A.; and Loubes, J.\n\n\n \n\n\n\n
SIAM Journal on Imaging Sciences, 16(1): 250–279. 2023.\n
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@article{delara2023diffeomorphic,\r\n title={Diffeomorphic Registration using {S}inkhorn Divergences},\r\n author={De Lara, Lucas and Gonz{\\'a}lez-Sanz, Alberto and Loubes, Jean-Michel},\r\n journal={SIAM Journal on Imaging Sciences},\r\n volume={16},\r\n number={1},\r\n pages={250--279},\r\n year={2023},\r\n publisher={SIAM},\r\n url_Link={https://epubs.siam.org/doi/abs/10.1137/22M1493562},\r\n url_Paper={https://arxiv.org/pdf/2206.13948.pdf}\r\n}\r\n\r\n\n
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\n\n \n \n \n \n \n \n Counterfactual Models for Fair and Adequate Explanations.\n \n \n \n \n\n\n \n Asher, N.; De Lara, L.; Paul, S.; and Russell, C.\n\n\n \n\n\n\n
Machine Learning and Knowledge Extraction, 4(2): 316–349. 2022.\n
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@article{asher2022counterfactual,\r\ntitle={Counterfactual Models for Fair and Adequate Explanations},\r\n author={Asher, Nicholas and De Lara, Lucas and Paul, Soumya and Russell, Chris},\r\n journal={Machine Learning and Knowledge Extraction},\r\n volume={4},\r\n number={2},\r\n pages={316--349},\r\n year={2022},\r\n publisher={MDPI},\r\n url_Link={https://www.mdpi.com/2504-4990/4/2/14}\r\n}\r\n\r\n\n
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\n\n \n \n \n \n \n \n GAN Estimation of Lipschitz Optimal Transport Maps.\n \n \n \n \n\n\n \n González-Sanz, A.; De Lara, L.; Béthune, L.; and Loubes, J.\n\n\n \n\n\n\n
arXiv preprint arXiv:2202.07965. 2022.\n
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@article{gonzalez2022gan,\r\n title={{GAN} Estimation of {L}ipschitz Optimal Transport Maps},\r\n author={Gonz{\\'a}lez-Sanz, Alberto and De Lara, Lucas and B{\\'e}thune, Louis and Loubes, Jean-Michel},\r\n journal={arXiv preprint arXiv:2202.07965},\r\n year={2022},\r\n url_Paper={https://arxiv.org/pdf/2202.07965.pdf}\r\n}\r\n\r\n\n
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\n\n \n \n \n \n \n \n A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications.\n \n \n \n \n\n\n \n De Lara, L.; González-Sanz, A.; and Loubes, J.\n\n\n \n\n\n\n
arXiv preprint arXiv:2102.08644. 2021.\n
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@article{delara2021consistent,\r\n title={A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications},\r\n author={De Lara, Lucas and Gonz{\\'a}lez-Sanz, Alberto and Loubes, Jean-Michel},\r\n journal={arXiv preprint arXiv:2102.08644},\r\n year={2021},\r\n url_Paper={https://arxiv.org/pdf/2102.08644.pdf}\r\n}\r\n\r\n\n
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