Fetching the paper…
Reading the bibliography…
Matching on covariates is a well-established framework for estimating causal effects in observational studies.
Séjourné, T., Feydy, J., Vialard, F.-X., Trouvé, A. & Peyré, G. (2019), ‘Sinkhorn divergences for unbalanced optimal transport’, arXiv preprint:1910.12958
1910
Earlier work this paper cites.
Deming, W. E. & Stephan, F. F. (1940), ‘On a least squares adjustment of a sampled frequency table when the expected marginal totals are known’, The Annals of Mathematical Statistics
1940
Earlier work this paper cites.
Kullback, S. & Leibler, R. A. (1951), ‘On information and sufficiency’, The Annals of Mathematical Statistics
1951
Earlier work this paper cites.
Varadarajan, V. S. (1958), ‘On the convergence of sample probability distributions’, Sankhyā: The Indian Journal of Statistics
1958
Earlier work this paper cites.
Kullback, S. (1959), Information theory and statistics
1959
Earlier work this paper cites.
Sinkhorn, R. (1964), ‘A relationship between arbitrary positive matrices and doubly stochastic matrices’, The Annals of Mathematical Statistics
1964
Earlier work this paper cites.
Csiszár, I. (1967), ‘Information-type measures of difference of probability distributions and indirect observation’, Studia Scientiarum Mathematicarum Hungarica
1967
Earlier work this paper cites.
Rubin, D. B. (1973), ‘Matching to remove bias in observational studies’, Biometrics
1973
Earlier work this paper cites.
Rubin, D. B. (1974), ‘Estimating causal effects of treatments in randomized and nonrandomized studies.’, Journal of Educational Psychology
1974
Earlier work this paper cites.
Csiszár, I. (1975), ‘I-divergence geometry of probability distributions and minimization problems’, The annals of probability
1975
Earlier work this paper cites.
Rosenbaum, P. R. & Rubin, D. B. (1983), ‘The central role of the propensity score in observational studies for causal effects’, Biometrika
1983
Earlier work this paper cites.
Holland, P. W. (1986), ‘Statistics and causal inference’, Journal of the American Statistical Association
1986
Earlier work this paper cites.
Lalonde, R. J. (1986), ‘Evaluating the econometric evaluations of training programs with experimental data’, American Economic Review
1986
Earlier work this paper cites.
Franklin, J. & Lorenz, J. (1989), ‘On the scaling of multidimensional matrices’, Linear Algebra and its applications
1989
Earlier work this paper cites.
Rosenbaum, P. R. (1989), ‘Optimal matching for observational studies’, Journal of the American Statistical Association
1989
Earlier work this paper cites.
Brenier, Y. (1991), ‘Polar factorization and monotone rearrangement of vector-valued functions’, Communications on Pure and Applied Mathematics
1991
Earlier work this paper cites.
Rüschendorf, L. (1995), ‘Convergence of the iterative proportional fitting procedure’, The Annals of Statistics
1995
Earlier work this paper cites.
Constantine, G. & Savits, T. (1996), ‘A multivariate Faà di Bruno formula with applications’, Transactions of the American Mathematical Society
1996
Earlier work this paper cites.
Rockafellar, R. T. (1997), Convex Analysis. Princeton landmarks in mathematics
1997
Earlier work this paper cites.
Gangbo, W. & Świěch, A. (1998), ‘Optimal maps for the multidimensional Monge-Kantorovich problem’, Communications on Pure and Applied Mathematics
1998
Earlier work this paper cites.
Dehejia, R. H. & Wahba, S. (1999), ‘Causal effects in nonexperimental studies: Reevaluating the evaluation of training programs’, Journal of the American statistical Association
1999
Earlier work this paper cites.
Folland, G. B. (1999), Real analysis: modern techniques and their applications
1999
Earlier work this paper cites.
Imbens, G. W. (2000), ‘The role of the propensity score in estimating dose-response functions’, Biometrika
2000
Earlier work this paper cites.
van der Vaart, A. W. (2000), Asymptotic statistics
2000
Earlier work this paper cites.
Abramovich, Y. A. & Aliprantis, C. D. (2002), An invitation to operator theory
2002
Earlier work this paper cites.
Villani, C. (2003), Topics in Optimal Transportation
2003
Earlier work this paper cites.
Abadie, A., Drukker, D., Herr, J. L. & Imbens, G. W. (2004), ‘Implementing matching estimators for average treatment effects in STATA’, The STATA journal
2004
Earlier work this paper cites.
Imbens, G. W. (2004), ‘Nonparametric estimation of average treatment effects under exogeneity: A review’, Review of Economics and Statistics
2004
Earlier work this paper cites.
Abadie, A. & Imbens, G. W. (2006), ‘Large sample properties of matching estimators for average treatment effects’, Econometrica
2006
Cited alongside, same era.
Trèves, F. (2006), Topological Vector Spaces, Distributions and Kernels: Pure and Applied Mathematics, Vol. 25
2006
Cited alongside, same era.
Rosenbaum, P. R., Ross, R. N. & Silber, J. H. (2007), ‘Minimum distance matched sampling with fine balance in an observational study of treatment for ovarian cancer’, Journal of the American Statistical Association
2007
Cited alongside, same era.
Wellner, J. A. W. & van der Vaart, A. W. (2007), Empirical processes indexed by estimated functions, in
2007
Cited alongside, same era.
Kosorok, M. R. (2008), Introduction to empirical processes and semiparametric inference
2008
Cited alongside, same era.
Lopez, M. J. & Gutman, R. (2017), ‘Estimation of causal effects with multiple treatments: a review and new ideas’, Statistical Science
2017
Later among the works it cites.
Chizat, L., Peyré, G., Schmitzer, B. & Vialard, F.-X. (2018), ‘Scaling algorithms for unbalanced optimal transport problems’, Mathematics of Computation
2018
Later among the works it cites.
Liero, M., Mielke, A. & Savaré, G. (2018), ‘Optimal entropy-transport problems and a new hellinger–kantorovich distance between positive measures’, Inventiones mathematicae
2018
Later among the works it cites.
Chizat, L., Peyré, G., Schmitzer, B. & Vialard, F. (2019), ‘Unbalanced optimal transport: dynamic and Kantorovich formulations’, arXiv preprint:1508.05216
2019
Later among the works it cites.
Forrow, A., Hütter, J.-C., Nitzan, M., Rigollet, P., Schiebinger, G. & Weed, J. (2019), Statistical optimal transport via factored couplings, in
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Villani, C. (2009), Optimal transport: old and new
2009
Cited alongside, same era.
Caffarelli, L. & McCann, R. J. (2010), ‘Free boundaries in optimal transport and Monge-Ampère obstacle problems’, Annals of Mathematics
2010
Cited alongside, same era.
Carlier, G. & Ekeland, I. (2010), ‘Matching for teams’, Economic Theory
2010
Cited alongside, same era.
Figalli, A. (2010), ‘The optimal partial transport problem’, Archive for rational mechanics and analysis
2010
Cited alongside, same era.
CEPR Discussion Paper No. DP7858
Galichon, A. & Salanié, B. (2010), ‘Matching with trade-offs: Revealed preferences over competing characteristics’ · 2010
Cited alongside, same era.
Stuart, E. A. (2010), ‘Matching methods for causal inference: A review and a look forward’, Statistical Science
2010
Cited alongside, same era.
Abadie, A. & Imbens, G. W. (2011), ‘Bias-corrected matching estimators for average treatment effects’, Journal of Business & Economic Statistics
2011
Cited alongside, same era.
2019
Later among the works it cites.
Genevay, A., Chizat, L., Bach, F., Cuturi, M. & Peyré, G. (2019), Sample complexity of Sinkhorn Divergences, in
2019
Later among the works it cites.
King, G. & Nielsen, R. (2019), ‘Why propensity scores should not be used for matching’, Political Analysis
2019
Later among the works it cites.
Li, F. & Li, F. (2019), ‘Propensity score weighting for causal inference with multiple treatments’, The Annals of Applied Statistics
2019
Later among the works it cites.
Peyré, G. & Cuturi, M. (2019), ‘Computational optimal transport’, Foundations and Trends in Machine Learning
2019
Later among the works it cites.
Weed, J. & Bach, F. (2019), ‘Sharp asymptotic and finite-sample rates of convergence of empirical measures in wasserstein distance’, Bernoulli
2019
Later among the works it cites.
Carlier, G. & Laborde, M. (2020), ‘A differential approach to the multi-marginal Schrödinger system’, SIAM Journal on Mathematical Analysis
2020
Later among the works it cites.
di Marino, S. & Gerolin, A. (2020), ‘An optimal transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm’, Journal of Scientific Computing
2020
Later among the works it cites.
Kallus, N. (2020), ‘Generalized optimal matching methods for causal inference’, Journal of Machine Learning Research
2020
Later among the works it cites.
Klatt, M., Tameling, C. & Munk, A. (2020), ‘Empirical regularized optimal transport: Statistical theory and applications’, SIAM Journal on Mathematics of Data Science
2020
Later among the works it cites.
Morucci, M., Orlandi, V., Roy, S., Rudin, C. & Volfovsky, A. (2020), Adaptive hyper-box matching for interpretable individualized treatment effect estimation, in
2020
Later among the works it cites.
Pham, K., Le, K., Ho, N., Pham, T. & Bui, H. (2020), On unbalanced optimal transport: An analysis of sinkhorn algorithm, in
2020
Later among the works it cites.
Rosenbaum, P. R. (2020), ‘Modern algorithms for matching in observational studies’, Annual Review of Statistics and Its Application
2020
Later among the works it cites.
Altschuler, J. M. & Boix-Adsera, E. (2021), ‘Hardness results for multimarginal optimal transport problems’, Discrete Optimization
2021
Closest in time.
HAL preprint 03176512
Carlier, G. (2021), On the linear convergence of the multi-marginal Sinkhorn algorithm · 2021
Closest in time.
arXiv preprint 2109.01991
Dunipace, E. (2021), ‘Optimal transport weights for causal inference’ · 2021
Closest in time.
arXiv preprint 2110.06798
Eckstein, S. & Nutz, M. (2021), ‘Quantitative stability of regularized optimal transport’ · 2021
Closest in time.
Fatras, K., Séjourné, T., Flamary, R. & Courty, N. (2021), Unbalanced minibatch optimal transport; applications to domain adaptation, in
2021
Closest in time.
Hütter, J.-C. & Rigollet, P. (2021), ‘Minimax estimation of smooth optimal transport maps’, The Annals of Statistics
2021
Closest in time.
arXiv preprint 2107.12364
Manole, T., Balakrishnan, S., Niles-Weed, J. & Wasserman, L. (2021), ‘Plugin estimation of smooth optimal transport maps’ · 2021
Closest in time.
arXiv preprint 2104.11720
Nutz, M. & Wiesel, J. (2021), ‘Entropic optimal transport: Convergence of potentials’ · 2021
Closest in time.
2021
Closest in time.
Austin, P. C. (2008), ‘A critical appraisal of propensity-score matching in the medical literature between 1996 and 2003’, Statistics in Medicine
2049
Closest in time.