@book{hyvarinen2001,
  title={Independent Component Analysis},
  author={Hyv{\"a}rinen, Aapo and Karhunen, Juha and Oja, Erkki},
  year={2001},
  publisher={John Wiley \& Sons}
}

@article{jutten1985,
  title={Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture},
  author={Jutten, Christian and Herault, Jean},
  journal={Signal processing},
  volume={24},
  number={1},
  pages={1--10},
  year={1985},
  publisher={Elsevier}
}

@article{cardoso2022,
  title={Independent Component Analysis in the Light of Information Geometry},
  author={Cardoso, Jean-Fran{\c{c}}ois},
  journal={Entropy},
  volume={24},
  number={3},
  pages={377},
  year={2022},
  publisher={MDPI}
}

@article{monge1781,
  title={M{\'e}moire sur la th{\'e}orie des d{\'e}blais et des remblais},
  author={Monge, Gaspard},
  journal={Histoire de l'Acad{\'e}mie Royale des Sciences de Paris},
  year={1781}
}

@article{kantorovich1942,
  title={On the translocation of masses},
  author={Kantorovich, Leonid V},
  journal={C. R. (Doklady) Acad. Sci. URSS (N.S.)},
  volume={37},
  pages={199--201},
  year={1942}
}

@book{villani2003,
  title={Topics in Optimal Transportation},
  author={Villani, C{\'e}dric},
  volume={58},
  year={2003},
  publisher={American Mathematical Society}
}

@article{brenier1991,
  title={Polar factorization and monotone rearrangement of vector-valued functions},
  author={Brenier, Yann},
  journal={Communications on pure and applied mathematics},
  volume={44},
  number={4},
  pages={375--417},
  year={1991},
  publisher={Wiley Online Library}
}

@article{caffarelli1992,
  title={The regularity of mappings with a convex potential},
  author={Caffarelli, Luis A},
  journal={Journal of the American Mathematical Society},
  volume={5},
  number={1},
  pages={99--104},
  year={1992}
}

@article{zema2025,
   title={A unifying non-Gaussian information share approach to price discovery},
   author={Zema, Sebastiano Michele and Cordoni, Francesco},
   journal={Available at SSRN 5234231},
   year={2025}
}

@book{absil2008optimization,
  title={Optimization Algorithms on Matrix Manifolds},
  author={Absil, P-A and Mahony, Robert and Sepulchre, Rodolphe},
  year={2008},
  publisher={Princeton University Press}
}

@article{liu1989limited,
  title={On the limited memory BFGS method for large scale optimization},
  author={Liu, Dong C and Nocedal, Jorge},
  journal={Mathematical programming},
  volume={45},
  number={1-3},
  pages={503--528},
  year={1989},
  publisher={Springer}
}

@article{schuchman1964dither,
  title={Dither signals and their effect on quantization noise},
  author={Schuchman, Leonard},
  journal={IEEE Transactions on Communication Technology},
  volume={12},
  number={4},
  pages={162--165},
  year={1964},
  publisher={IEEE}
}

@inproceedings{amari1996new,
  title={A new learning algorithm for blind signal separation},
  author={Amari, Shun-Ichi and Cichocki, Andrzej and Yang, Howard H},
  booktitle={Advances in neural information processing systems},
  pages={757--763},
  year={1996}
}

@book{mackay2003,
  title={Information Theory, Inference and Learning Algorithms},
  author={MacKay, David J. C.},
  year={2003},
  publisher={Cambridge University Press}
}

@article{peyre2019computational,
  title={Computational Optimal Transport: With Applications to Data Science},
  author={Peyr{\'e}, Gabriel and Cuturi, Marco},
  journal={Foundations and Trends{\textregistered} in Machine Learning},
  volume={11},
  number={5-6},
  pages={355--607},
  year={2019},
  publisher={Now Publishers, Inc.}
}

@article{comon1994,
  title={Independent component analysis, a new concept?},
  author={Comon, Pierre},
  journal={Signal processing},
  volume={36},
  number={3},
  pages={287--314},
  year={1994},
  publisher={Elsevier}
}

@book{cover2006elements,
  title={Elements of Information Theory},
  author={Cover, Thomas M and Thomas, Joy A},
  year={2006},
  publisher={John Wiley \& Sons}
}

@book{billingsley1995probability,
  title={Probability and Measure},
  author={Billingsley, Patrick},
  year={1995},
  edition={3rd},
  publisher={John Wiley \& Sons}
}

@article{shimizu2006linear,
  title={A linear non-Gaussian acyclic model for causal discovery},
  author={Shimizu, Shohei and Hoyer, Patrik O and Hyv{\"a}rinen, Aapo and Kerminen, Antti},
  journal={Journal of Machine Learning Research},
  volume={7},
  number={10},
  year={2006}
}

@inproceedings{buchholz2022function,
  title={Function Classes for Identifiable Nonlinear Independent Component Analysis},
  author={Buchholz, Simon and Besserve, Michel and Sch{\"o}lkopf, Bernhard},
  booktitle={Advances in Neural Information Processing Systems},
  volume={35},
  year={2022}
}

@inproceedings{liang2023causal,
  title={Causal Component Analysis},
  author={Liang, Wendong and Keki{\'c}, Armin and von K{\"u}gelgen, Julius and Buchholz, Simon and Besserve, Michel and Gresele, Luigi and Sch{\"o}lkopf, Bernhard},
  booktitle={Advances in Neural Information Processing Systems},
  volume={36},
  year={2023}
}

@article{fournier2015rate,
  title={On the rate of convergence in Wasserstein distance of the empirical measure},
  author={Fournier, Nicolas and Guillin, Arnaud},
  journal={Probability Theory and Related Fields},
  volume={162},
  number={3},
  pages={707--738},
  year={2015},
  publisher={Springer}
}

@book{santambrogio2015optimal,
  title={Optimal Transport for Applied Mathematicians},
  author={Santambrogio, Filippo},
  series={Progress in Nonlinear Differential Equations and Their Applications},
  volume={87},
  year={2015},
  publisher={Birkh{\"a}user Basel}
}