@article{lee1999extended,
title={Independent Component Analysis Using an Extended Infomax Algorithm for Mixed Subgaussian and Supergaussian Sources},
author={Lee, Te-Won and Girolami, Mark and Sejnowski, Terrence J},
journal={Neural Computation},
volume={11},
number={2},
pages={417--441},
year={1999},
publisher={MIT Press}
}
@article{ablin2018faster,
title={Faster independent component analysis by preconditioning with {Hessian} approximations},
author={Ablin, Pierre and Cardoso, Jean-Fran{\c{c}}ois and Gramfort, Alexandre},
journal={IEEE Transactions on Signal Processing},
volume={66},
number={15},
pages={4040--4049},
year={2018},
publisher={IEEE}
}
@article{bell1995information,
title={An information-maximization approach to blind separation and blind deconvolution},
author={Bell, Anthony J and Sejnowski, Terrence J},
journal={Neural Computation},
volume={7},
number={6},
pages={1129--1159},
year={1995},
publisher={MIT Press}
}
@article{cardoso1993blind,
title={Blind beamforming for non-{Gaussian} signals},
author={Cardoso, Jean-Fran{\c{c}}ois and Souloumiac, Antoine},
journal={{IEE} Proceedings F -- Radar and Signal Processing},
volume={140},
number={6},
pages={362--370},
year={1993},
publisher={IET}
}
@article{delbarrio1999,
title={Tests of goodness of fit based on the {$L_2$}-{Wasserstein} distance},
author={del Barrio, Eustasio and Cuesta-Albertos, Juan A and Matr{\'a}n, Carlos and Rodr{\'i}guez-Rodr{\'i}guez, Jes{\'u}s M},
journal={Annals of Statistics},
volume={27},
number={4},
pages={1230--1239},
year={1999},
publisher={Institute of Mathematical Statistics}
}
@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}
}
@book{hyvarinen2001,
title={Independent Component Analysis},
author={Hyv{\"a}rinen, Aapo and Karhunen, Juha and Oja, Erkki},
year={2001},
publisher={John Wiley \& Sons}
}
@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{villani2003,
title={Topics in Optimal Transportation},
author={Villani, C{\'e}dric},
volume={58},
year={2003},
publisher={American Mathematical Society}
}
@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{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}
}
@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{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{cuturi2013sinkhorn,
title={Sinkhorn distances: Lightspeed computation of optimal transport},
author={Cuturi, Marco},
booktitle={Advances in Neural Information Processing Systems},
volume={26},
year={2013}
}
@article{hasbrouck1995,
title={One measure of price discovery in fragmented markets},
author={Hasbrouck, Joel},
journal={The Journal of Finance},
volume={50},
number={4},
pages={1175--1199},
year={1995},
publisher={Wiley Online Library}
}
@article{baillie2002,
title={Price discovery and common factor models},
author={Baillie, Richard T and Booth, G Geoffrey and Tse, Yiuman and Zabotina, Tatyana},
journal={Journal of Financial Markets},
volume={5},
number={3},
pages={309--321},
year={2002},
publisher={Elsevier}
}
@article{engle1987,
title={Co-integration and error correction: Representation, estimation, and testing},
author={Engle, Robert F and Granger, Clive WJ},
journal={Econometrica: Journal of the Econometric Society},
volume={55},
number={2},
pages={251--276},
year={1987},
publisher={JSTOR}
}
@article{johansen1991,
title={Estimation and hypothesis testing of cointegration vectors in Gaussian vector autoregressive models},
author={Johansen, S{\o}ren},
journal={Econometrica: Journal of the Econometric Society},
volume={59},
number={6},
pages={1551--1580},
year={1991},
publisher={JSTOR}
}
@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}
}
@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{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}
}
@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}
}
@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{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}
}
@article{kuhn1955hungarian,
title={The Hungarian method for the assignment problem},
author={Kuhn, Harold W},
journal={Naval Research Logistics Quarterly},
volume={2},
number={1--2},
pages={83--97},
year={1955},
publisher={Wiley Online Library}
}