---
OA_place: publisher
OA_type: gold
_id: '19010'
abstract:
- lang: eng
  text: Causal representation learning aims at recovering latent causal variables
    from high-dimensional observations to solve causal downstream tasks, such as predicting
    the effect of new interventions or more robust classification. A plethora of methods
    have been developed, each tackling carefully crafted problem settings that lead
    to different types of identifiability. The folklore is that these different settings
    are important, as they are often linked to different rungs of Pearl's causal hierarchy,
    although not all neatly fit. Our main contribution is to show that many existing
    causal representation learning approaches methodologically align the representation
    to known data symmetries. Identification of the variables is guided by equivalence
    classes across different "data pockets" that are not necessarily causal. This
    result suggests important implications, allowing us to unify many existing approaches
    in a single method that can mix and match different assumptions, including non-causal
    ones, based on the invariances relevant to our application. It also significantly
    benefits applicability, which we demonstrate by improving treatment effect estimation
    on real-world high-dimensional ecological data. Overall, this paper clarifies
    the role of causality assumptions in the discovery of causal variables and shifts
    the focus to preserving data symmetries.
acknowledgement: "We thank Jiaqi Zhang, Francesco Montagna, David Lopez-Paz, Kartik
  Ahuja, Thomas Kipf, Sara\r\nMagliacane, Julius von Kügelgen, Kun Zhang, and Bernhard
  Schölkopf for extremely helpful discussion. Riccardo Cadei was supported by a Google
  Research Scholar Award to Francesco Locatello. We acknowledge the Third Bellairs
  Workshop on Causal Representation Learning held at the Bellairs Research Institute,
  February 9/16, 2024, and a debate on the difference between interventions and counterfactuals
  in disentanglement and CRL that took place during Dhanya Sridhar’s lecture, which
  motivated us to significantly broaden the scope of the paper. We thank Dhanya and
  all participants of the workshop."
article_processing_charge: No
arxiv: 1
author:
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Dario
  full_name: Rancati, Dario
  id: feb58f2e-72ef-11ef-b75a-8f0894539cd0
  last_name: Rancati
- first_name: Riccardo
  full_name: Cadei, Riccardo
  id: 0fa8b76f-72f0-11ef-b75a-a5da96e5ad6b
  last_name: Cadei
- first_name: Marco
  full_name: Fumero, Marco
  id: 1c1593eb-393f-11ef-bb8e-ab4f1e979650
  last_name: Fumero
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Yao D, Rancati D, Cadei R, Fumero M, Locatello F. Unifying causal representation
    learning with the invariance principle. In: <i>13th International Conference on
    Learning Representations</i>. ICLR; 2025.'
  apa: 'Yao, D., Rancati, D., Cadei, R., Fumero, M., &#38; Locatello, F. (2025). Unifying
    causal representation learning with the invariance principle. In <i>13th International
    Conference on Learning Representations</i>. Singapore: ICLR.'
  chicago: Yao, Dingling, Dario Rancati, Riccardo Cadei, Marco Fumero, and Francesco
    Locatello. “Unifying Causal Representation Learning with the Invariance Principle.”
    In <i>13th International Conference on Learning Representations</i>. ICLR, 2025.
  ieee: D. Yao, D. Rancati, R. Cadei, M. Fumero, and F. Locatello, “Unifying causal
    representation learning with the invariance principle,” in <i>13th International
    Conference on Learning Representations</i>, Singapore, 2025.
  ista: 'Yao D, Rancati D, Cadei R, Fumero M, Locatello F. 2025. Unifying causal representation
    learning with the invariance principle. 13th International Conference on Learning
    Representations. ICLR: International Conference on Learning Representations.'
  mla: Yao, Dingling, et al. “Unifying Causal Representation Learning with the Invariance
    Principle.” <i>13th International Conference on Learning Representations</i>,
    ICLR, 2025.
  short: D. Yao, D. Rancati, R. Cadei, M. Fumero, F. Locatello, in:, 13th International
    Conference on Learning Representations, ICLR, 2025.
conference:
  end_date: 2025-04-28
  location: Singapore
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2025-04-24
corr_author: '1'
date_created: 2025-02-05T09:23:25Z
date_published: 2025-01-22T00:00:00Z
date_updated: 2026-02-09T05:52:14Z
day: '22'
ddc:
- '000'
department:
- _id: FrLo
external_id:
  arxiv:
  - '2409.02772'
file:
- access_level: open_access
  checksum: c4b5a4a644228c6d1b0283e1368bce9e
  content_type: application/pdf
  creator: flocatel
  date_created: 2026-01-27T12:43:25Z
  date_updated: 2026-01-27T12:43:25Z
  file_id: '21048'
  file_name: 4356_Unifying_Causal_Represent (1).pdf
  file_size: 877014
  relation: main_file
  success: 1
file_date_updated: 2026-01-27T12:43:25Z
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
oa: 1
oa_version: Published Version
publication: 13th International Conference on Learning Representations
publication_status: published
publisher: ICLR
quality_controlled: '1'
scopus_import: '1'
status: public
title: Unifying causal representation learning with the invariance principle
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '20032'
abstract:
- lang: eng
  text: We propose Scalable Mechanistic Neural Network (S-MNN), an enhanced neural
    network framework designed for scientific machine learning applications involving
    long temporal sequences. By reformulating the original Mechanistic Neural Network
    (MNN) (Pervez et al., 2024), we reduce the computational time and space complexities
    from cubic and quadratic with respect to the sequence length, respectively, to
    linear. This significant improvement enables efficient modeling of long-term dynamics
    without sacrificing accuracy or interpretability. Extensive experiments demonstrate
    that S-MNN matches the original MNN in precision while substantially reducing
    computational resources. Consequently, S-MNN can drop-in replace the original
    MNN in applications, providing a practical and efficient tool for integrating
    mechanistic bottlenecks into neural network models of complex dynamical systems.
    Source code is available at https://github.com/IST-DASLab/ScalableMNN.
article_processing_charge: No
arxiv: 1
author:
- first_name: Jiale
  full_name: Chen, Jiale
  id: 4d0a9064-1ff6-11ee-9fa6-ec046c604785
  last_name: Chen
  orcid: 0000-0001-5337-5875
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Adeel A
  full_name: Pervez, Adeel A
  id: fca6d90c-d47f-11ee-bc87-93ff51604981
  last_name: Pervez
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Chen J, Yao D, Pervez AA, Alistarh D-A, Locatello F. Scalable mechanistic
    neural networks. In: <i>13th International Conference on Learning Representations</i>.
    ICLR; 2025:63716-63737.'
  apa: 'Chen, J., Yao, D., Pervez, A. A., Alistarh, D.-A., &#38; Locatello, F. (2025).
    Scalable mechanistic neural networks. In <i>13th International Conference on Learning
    Representations</i> (pp. 63716–63737). Singapore, Singapore: ICLR.'
  chicago: Chen, Jiale, Dingling Yao, Adeel A Pervez, Dan-Adrian Alistarh, and Francesco
    Locatello. “Scalable Mechanistic Neural Networks.” In <i>13th International Conference
    on Learning Representations</i>, 63716–37. ICLR, 2025.
  ieee: J. Chen, D. Yao, A. A. Pervez, D.-A. Alistarh, and F. Locatello, “Scalable
    mechanistic neural networks,” in <i>13th International Conference on Learning
    Representations</i>, Singapore, Singapore, 2025, pp. 63716–63737.
  ista: 'Chen J, Yao D, Pervez AA, Alistarh D-A, Locatello F. 2025. Scalable mechanistic
    neural networks. 13th International Conference on Learning Representations. ICLR:
    International Conference on Learning Representations, 63716–63737.'
  mla: Chen, Jiale, et al. “Scalable Mechanistic Neural Networks.” <i>13th International
    Conference on Learning Representations</i>, ICLR, 2025, pp. 63716–37.
  short: J. Chen, D. Yao, A.A. Pervez, D.-A. Alistarh, F. Locatello, in:, 13th International
    Conference on Learning Representations, ICLR, 2025, pp. 63716–63737.
conference:
  end_date: 2025-04-28
  location: Singapore, Singapore
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2025-04-24
corr_author: '1'
date_created: 2025-07-20T22:02:01Z
date_published: 2025-04-01T00:00:00Z
date_updated: 2025-08-04T08:03:11Z
day: '01'
ddc:
- '000'
department:
- _id: DaAl
- _id: FrLo
external_id:
  arxiv:
  - '2410.06074'
file:
- access_level: open_access
  checksum: 64cfdb12ae3e4e8ba57b1403e1066776
  content_type: application/pdf
  creator: dernst
  date_created: 2025-07-22T07:58:22Z
  date_updated: 2025-07-22T07:58:22Z
  file_id: '20065'
  file_name: 2025_ICLR_Chen.pdf
  file_size: 732745
  relation: main_file
  success: 1
file_date_updated: 2025-07-22T07:58:22Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 63716-63737
publication: 13th International Conference on Learning Representations
publication_identifier:
  isbn:
  - '9798331320850'
publication_status: published
publisher: ICLR
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/IST-DASLab/ScalableMNN
scopus_import: '1'
status: public
title: Scalable mechanistic neural networks
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '20592'
abstract:
- lang: eng
  text: "Filtering-based probabilistic numerical solvers for ordinary differential
    equations (ODEs), also known as ODE filters, have been established as efficient
    methods for quantifying numerical uncertainty in the solution of ODEs. In practical
    applications, however, the underlying dynamical system often contains uncertain
    parameters, requiring the propagation of this model uncertainty to the ODE solution.
    In this paper, we demonstrate that ODE filters, despite their probabilistic nature,
    do not automatically solve this uncertainty propagation problem. To address this
    limitation, we present a novel approach that combines ODE filters with numerical
    quadrature to properly marginalize over uncertain parameters, while accounting
    for both parameter uncertainty and numerical solver uncertainty. Experiments across
    multiple dynamical systems demonstrate that the resulting uncertainty estimates
    closely match reference solutions. Notably, we show\r\nhow the numerical uncertainty
    from the ODE solver can help prevent overconfidence in the propagated uncertainty
    estimates, especially when using larger step sizes. Our results illustrate that
    probabilistic numerical methods can effectively quantify both numerical and parametric
    uncertainty in dynamical systems. "
acknowledgement: "NB gratefully acknowledge co-funding by the European Union (ERC,
  ANUBIS, 101123955. Views and opinions expressed are however those of the author(s)
  only and do not necessarily reflect those of the European Union or the European
  Research Council. Neither the European Union nor the granting authority can be held
  responsible for them). NB thanks the International\r\nMax Planck Research School
  for Intelligent Systems (IMPRS-IS) for their support."
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Filip
  full_name: Tronarp, Filip
  last_name: Tronarp
- first_name: Nathanael
  full_name: Bosch, Nathanael
  last_name: Bosch
citation:
  ama: 'Yao D, Tronarp F, Bosch N. Propagating model uncertainty through filtering-based
    probabilistic numerical ODE solvers. In: <i>Proceedings of the 1st International
    Conference on Probabilistic Numerics</i>. Vol 271. ML Research Press; 2025.'
  apa: 'Yao, D., Tronarp, F., &#38; Bosch, N. (2025). Propagating model uncertainty
    through filtering-based probabilistic numerical ODE solvers. In <i>Proceedings
    of the 1st International Conference on Probabilistic Numerics</i> (Vol. 271).
    Sophia Antipolis, France: ML Research Press.'
  chicago: Yao, Dingling, Filip Tronarp, and Nathanael Bosch. “Propagating Model Uncertainty
    through Filtering-Based Probabilistic Numerical ODE Solvers.” In <i>Proceedings
    of the 1st International Conference on Probabilistic Numerics</i>, Vol. 271. ML
    Research Press, 2025.
  ieee: D. Yao, F. Tronarp, and N. Bosch, “Propagating model uncertainty through filtering-based
    probabilistic numerical ODE solvers,” in <i>Proceedings of the 1st International
    Conference on Probabilistic Numerics</i>, Sophia Antipolis, France, 2025, vol.
    271.
  ista: 'Yao D, Tronarp F, Bosch N. 2025. Propagating model uncertainty through filtering-based
    probabilistic numerical ODE solvers. Proceedings of the 1st International Conference
    on Probabilistic Numerics. ProbNum: Conference on Probabilistic Numerics, PMLR,
    vol. 271.'
  mla: Yao, Dingling, et al. “Propagating Model Uncertainty through Filtering-Based
    Probabilistic Numerical ODE Solvers.” <i>Proceedings of the 1st International
    Conference on Probabilistic Numerics</i>, vol. 271, ML Research Press, 2025.
  short: D. Yao, F. Tronarp, N. Bosch, in:, Proceedings of the 1st International Conference
    on Probabilistic Numerics, ML Research Press, 2025.
conference:
  end_date: 2025-09-03
  location: Sophia Antipolis, France
  name: 'ProbNum: Conference on Probabilistic Numerics'
  start_date: 2025-09-01
date_created: 2025-11-02T23:01:35Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2025-11-10T08:33:11Z
day: '01'
ddc:
- '000'
department:
- _id: FrLo
external_id:
  arxiv:
  - '2503.04684'
has_accepted_license: '1'
intvolume: '       271'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-sa/4.0/
main_file_link:
- open_access: '1'
  url: https://openreview.net/forum?id=sgPCP9jOlS
month: '01'
oa: 1
oa_version: Preprint
publication: Proceedings of the 1st International Conference on Probabilistic Numerics
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Propagating model uncertainty through filtering-based probabilistic numerical
  ODE solvers
tmp:
  image: /images/cc_by_sa.png
  legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode
  name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC
    BY-SA 4.0)
  short: CC BY-SA (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 271
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21068'
abstract:
- lang: eng
  text: "Causal reasoning and discovery, two fundamental tasks of causal analysis,\r\noften
    face challenges in applications due to the complexity, noisiness, and highdimensionality
    of real-world data. Despite recent progress in identifying latent\r\ncausal structures
    using causal representation learning (CRL), what makes learned\r\nrepresentations
    useful for causal downstream tasks and how to evaluate them are\r\nstill not well
    understood. In this paper, we reinterpret CRL using a measurement\r\nmodel framework,
    where the learned representations are viewed as proxy measurements of the latent
    causal variables. Our approach clarifies the conditions under\r\nwhich learned
    representations support downstream causal reasoning and provides\r\na principled
    basis for quantitatively assessing the quality of representations using\r\na new
    Test-based Measurement EXclusivity (T-MEX) score. We validate T-MEX\r\nacross
    diverse causal inference scenarios, including numerical simulations and\r\nreal-world
    ecological video analysis, demonstrating that the proposed framework\r\nand corresponding
    score effectively assess the identification of learned representations and their
    usefulness for causal downstream tasks. Reproducible code can\r\nbe found at https://github.com/shimenghuang/a-measurement-perspective-of-crl."
acknowledgement: "This research was funded in whole or in part by the Austrian Science
  Fund (FWF) 10.55776/COE12. For open access purposes, the author has applied a CC
  BY public copyright license to any accepted manuscript version arising from this
  submission.\r\n"
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Shimeng
  full_name: Huang, Shimeng
  id: 989c2a06-fb4e-11ef-a992-ab766442255b
  last_name: Huang
  orcid: 0000-0001-6919-821X
- first_name: Riccardo
  full_name: Cadei, Riccardo
  id: 0fa8b76f-72f0-11ef-b75a-a5da96e5ad6b
  last_name: Cadei
- first_name: Kun
  full_name: Zhang, Kun
  last_name: Zhang
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Yao D, Huang S, Cadei R, Zhang K, Locatello F. The third pillar of causal
    analysis? A measurement perspective on causal representations. In: <i>39th Annual
    Conference on Neural Information Processing Systems</i>. Vol 38. Neural Information
    Processing Systems Foundation; 2025.'
  apa: 'Yao, D., Huang, S., Cadei, R., Zhang, K., &#38; Locatello, F. (2025). The
    third pillar of causal analysis? A measurement perspective on causal representations.
    In <i>39th Annual Conference on Neural Information Processing Systems</i> (Vol.
    38). San Diego, CA, United States: Neural Information Processing Systems Foundation.'
  chicago: Yao, Dingling, Shimeng Huang, Riccardo Cadei, Kun Zhang, and Francesco
    Locatello. “The Third Pillar of Causal Analysis? A Measurement Perspective on
    Causal Representations.” In <i>39th Annual Conference on Neural Information Processing
    Systems</i>, Vol. 38. Neural Information Processing Systems Foundation, 2025.
  ieee: D. Yao, S. Huang, R. Cadei, K. Zhang, and F. Locatello, “The third pillar
    of causal analysis? A measurement perspective on causal representations,” in <i>39th
    Annual Conference on Neural Information Processing Systems</i>, San Diego, CA,
    United States, 2025, vol. 38.
  ista: 'Yao D, Huang S, Cadei R, Zhang K, Locatello F. 2025. The third pillar of
    causal analysis? A measurement perspective on causal representations. 39th Annual
    Conference on Neural Information Processing Systems. NeurIPS: Neural Information
    Processing Systems, Advances in Neural Information Processing Systems, vol. 38.'
  mla: Yao, Dingling, et al. “The Third Pillar of Causal Analysis? A Measurement Perspective
    on Causal Representations.” <i>39th Annual Conference on Neural Information Processing
    Systems</i>, vol. 38, Neural Information Processing Systems Foundation, 2025.
  short: D. Yao, S. Huang, R. Cadei, K. Zhang, F. Locatello, in:, 39th Annual Conference
    on Neural Information Processing Systems, Neural Information Processing Systems
    Foundation, 2025.
conference:
  end_date: 2025-12-07
  location: San Diego, CA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2025-12-02
corr_author: '1'
das_tickbox: '1'
date_created: 2026-01-29T14:24:56Z
date_published: 2025-12-15T00:00:00Z
date_updated: 2026-07-28T07:14:27Z
day: '15'
ddc:
- '000'
department:
- _id: FrLo
external_id:
  arxiv:
  - '2505.17708'
has_accepted_license: '1'
intvolume: '        38'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2505.17708
month: '12'
oa: 1
oa_version: Preprint
publication: 39th Annual Conference on Neural Information Processing Systems
publication_identifier:
  issn:
  - 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/shimenghuang/a-measurement-perspective-of-crl
status: public
title: The third pillar of causal analysis? A measurement perspective on causal representations
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '14946'
abstract:
- lang: eng
  text: We present a unified framework for studying the identifiability of representations
    learned from simultaneously observed views, such as different data modalities.
    We allow a partially observed setting in which each view constitutes a nonlinear
    mixture of a subset of underlying latent variables, which can be causally related.
    We prove that the information shared across all subsets of any number of views
    can be learned up to a smooth bijection using contrastive learning and a single
    encoder per view. We also provide graphical criteria indicating which latent variables
    can be identified through a simple set of rules, which we refer to as identifiability
    algebra. Our general framework and theoretical results unify and extend several
    previous work on multi-view nonlinear ICA, disentanglement, and causal representation
    learning. We experimentally validate our claims on numerical, image, and multi-modal
    data sets. Further, we demonstrate that the performance of prior methods is recovered
    in different special cases of our setup. Overall, we find that access to multiple
    partial views offers unique opportunities for identifiable representation learning,
    enabling the discovery of latent structures from purely observational data.
acknowledgement: 'This work was initiated at the Second Bellairs Workshop on Causality
  held at the Bellairs Research Institute, January 6–13, 2022; we thank all workshop
  participants for providing a stimulating research environment. Further, we thank
  Cian Eastwood, Luigi Gresele, Stefano Soatto, Marco Bagatella and A. René Geist
  for helpful discussion. GM is a member of the Machine Learning Cluster of Excellence,
  EXC number 2064/1 – Project number 390727645. JvK and GM acknowledge support from
  the German Federal Ministry of Education and Research (BMBF) through the Tübingen
  AI Center (FKZ: 01IS18039B). The research of DX and SM was supported by the Air
  Force Office of Scientific Research under award number FA8655-22-1-7155. Any opinions,
  findings, and conclusions or recommendations expressed in this material are those
  of the author(s) and do not necessarily reflect the views of the United States Air
  Force. We also thank SURF for the support in using the Dutch National Supercomputer
  Snellius. SL was supported by an IVADO excellence PhD scholarship and by Samsung
  Electronics Co., Ldt. DY was supported by an Amazon fellowship, the International
  Max Planck Research School for Intelligent Systems (IMPRS-IS) and the ISTA graduate
  school. Work done outside of Amazon.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Danru
  full_name: Xu, Danru
  last_name: Xu
- first_name: Sébastien
  full_name: Lachapelle, Sébastien
  last_name: Lachapelle
- first_name: Sara
  full_name: Magliacane, Sara
  last_name: Magliacane
- first_name: Perouz
  full_name: Taslakian, Perouz
  last_name: Taslakian
- first_name: Georg
  full_name: Martius, Georg
  last_name: Martius
- first_name: Julius von
  full_name: Kügelgen, Julius von
  last_name: Kügelgen
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Yao D, Xu D, Lachapelle S, et al. Multi-view causal representation learning
    with partial observability. In: <i>12th International Conference on Learning Representations</i>.
    Curran Associates; 2024.'
  apa: 'Yao, D., Xu, D., Lachapelle, S., Magliacane, S., Taslakian, P., Martius, G.,
    … Locatello, F. (2024). Multi-view causal representation learning with partial
    observability. In <i>12th International Conference on Learning Representations</i>.
    Vienna, Austria: Curran Associates.'
  chicago: Yao, Dingling, Danru Xu, Sébastien Lachapelle, Sara Magliacane, Perouz
    Taslakian, Georg Martius, Julius von Kügelgen, and Francesco Locatello. “Multi-View
    Causal Representation Learning with Partial Observability.” In <i>12th International
    Conference on Learning Representations</i>. Curran Associates, 2024.
  ieee: D. Yao <i>et al.</i>, “Multi-view causal representation learning with partial
    observability,” in <i>12th International Conference on Learning Representations</i>,
    Vienna, Austria, 2024.
  ista: 'Yao D, Xu D, Lachapelle S, Magliacane S, Taslakian P, Martius G, Kügelgen
    J von, Locatello F. 2024. Multi-view causal representation learning with partial
    observability. 12th International Conference on Learning Representations. ICLR:
    International Conference on Learning Representations.'
  mla: Yao, Dingling, et al. “Multi-View Causal Representation Learning with Partial
    Observability.” <i>12th International Conference on Learning Representations</i>,
    Curran Associates, 2024.
  short: D. Yao, D. Xu, S. Lachapelle, S. Magliacane, P. Taslakian, G. Martius, J.
    von Kügelgen, F. Locatello, in:, 12th International Conference on Learning Representations,
    Curran Associates, 2024.
conference:
  end_date: 2024-05-07
  location: Vienna, Austria
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2024-05-07
corr_author: '1'
date_created: 2024-02-07T14:28:34Z
date_published: 2024-11-07T00:00:00Z
date_updated: 2025-02-11T10:34:32Z
day: '07'
ddc:
- '000'
department:
- _id: FrLo
external_id:
  arxiv:
  - '2311.04056'
file:
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language:
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month: '11'
oa: 1
oa_version: Published Version
publication: 12th International Conference on Learning Representations
publication_status: published
publisher: Curran Associates
quality_controlled: '1'
status: public
title: Multi-view causal representation learning with partial observability
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
OA_place: publisher
OA_type: gold
_id: '19005'
abstract:
- lang: eng
  text: "Causal representation learning promises to extend causal models to hidden
    causal\r\nvariables from raw entangled measurements. However, most progress has
    focused\r\non proving identifiability results in different settings, and we are
    not aware of any\r\nsuccessful real-world application. At the same time, the field
    of dynamical systems\r\nbenefited from deep learning and scaled to countless applications
    but does not allow\r\nparameter identification. In this paper, we draw a clear
    connection between the two\r\nand their key assumptions, allowing us to apply
    identifiable methods developed\r\nin causal representation learning to dynamical
    systems. At the same time, we can\r\nleverage scalable differentiable solvers
    developed for differential equations to build\r\nmodels that are both identifiable
    and practical. Overall, we learn explicitly controllable models that isolate the
    trajectory-specific parameters for further downstream\r\ntasks such as out-of-distribution
    classification or treatment effect estimation. We\r\nexperiment with a wind simulator
    with partially known factors of variation. We\r\nalso apply the resulting model
    to real-world climate data and successfully answer\r\ndownstream causal questions
    in line with existing literature on climate change.\r\nCode is available at https://github.com/CausalLearningAI/crl-dynamical-systems."
acknowledgement: "We thank Niklas Boers for recommending the SpeedyWeather simulator
  and Valentino Maiorca\r\nfor guidance on Fourier transformation for SST data. We
  are also grateful to Shimeng Huang and Riccardo Cadei for their feedback on the
  treatment effect estimation experiment and to Jiale Chen and Adeel Pervez for their
  assistance with the solver implementation. Finally, we appreciate the anonymous
  reviewers for their insightful suggestions, which helped improve the manuscript. "
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Caroline J
  full_name: Muller, Caroline J
  id: f978ccb0-3f7f-11eb-b193-b0e2bd13182b
  last_name: Muller
  orcid: 0000-0001-5836-5350
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Yao D, Muller CJ, Locatello F. Marrying causal representation learning with
    dynamical systems for science. In: <i>38th Conference on Neural Information Processing
    Systems</i>. Vol 37. Neural Information Processing Systems Foundation; 2024.'
  apa: 'Yao, D., Muller, C. J., &#38; Locatello, F. (2024). Marrying causal representation
    learning with dynamical systems for science. In <i>38th Conference on Neural Information
    Processing Systems</i> (Vol. 37). Vancouver, Canada: Neural Information Processing
    Systems Foundation.'
  chicago: Yao, Dingling, Caroline J Muller, and Francesco Locatello. “Marrying Causal
    Representation Learning with Dynamical Systems for Science.” In <i>38th Conference
    on Neural Information Processing Systems</i>, Vol. 37. Neural Information Processing
    Systems Foundation, 2024.
  ieee: D. Yao, C. J. Muller, and F. Locatello, “Marrying causal representation learning
    with dynamical systems for science,” in <i>38th Conference on Neural Information
    Processing Systems</i>, Vancouver, Canada, 2024, vol. 37.
  ista: 'Yao D, Muller CJ, Locatello F. 2024. Marrying causal representation learning
    with dynamical systems for science. 38th Conference on Neural Information Processing
    Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information
    Processing Systems, vol. 37.'
  mla: Yao, Dingling, et al. “Marrying Causal Representation Learning with Dynamical
    Systems for Science.” <i>38th Conference on Neural Information Processing Systems</i>,
    vol. 37, Neural Information Processing Systems Foundation, 2024.
  short: D. Yao, C.J. Muller, F. Locatello, in:, 38th Conference on Neural Information
    Processing Systems, Neural Information Processing Systems Foundation, 2024.
conference:
  end_date: 2024-12-16
  location: Vancouver, Canada
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2024-12-16
corr_author: '1'
date_created: 2025-02-05T07:49:00Z
date_published: 2024-12-01T00:00:00Z
date_updated: 2025-07-10T11:51:32Z
day: '01'
ddc:
- '000'
- '550'
department:
- _id: CaMu
- _id: FrLo
external_id:
  arxiv:
  - '2405.13888'
file:
- access_level: open_access
  checksum: fe8832367e7143876f178244385d859e
  content_type: application/pdf
  creator: dernst
  date_created: 2025-02-05T07:44:58Z
  date_updated: 2025-02-05T07:44:58Z
  file_id: '19006'
  file_name: 2024_NeurIPS_Yao.pdf
  file_size: 2595855
  relation: main_file
  success: 1
file_date_updated: 2025-02-05T07:44:58Z
has_accepted_license: '1'
intvolume: '        37'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: 38th Conference on Neural Information Processing Systems
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/CausalLearningAI/crl-dynamical-systems
scopus_import: '1'
status: public
title: Marrying causal representation learning with dynamical systems for science
tmp:
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  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
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year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '14958'
abstract:
- lang: eng
  text: Causal representation learning (CRL) aims at identifying high-level causal
    variables from low-level data, e.g. images. Current methods usually assume that
    all causal variables are captured in the high-dimensional observations. In this
    work, we focus on learning causal representations from data under partial observability,
    i.e., when some of the causal variables are not observed in the measurements,
    and the set of masked variables changes across the different samples. We introduce
    some initial theoretical results for identifying causal variables under partial
    observability by exploiting a sparsity regularizer, focusing in particular on
    the linear and piecewise linear mixing function case. We provide a theorem that
    allows us to identify the causal variables up to permutation and element-wise
    linear transformations in the linear case and a lemma that allows us to identify
    causal variables up to linear transformation in the piecewise case. Finally, we
    provide a conjecture that would allow us to identify the causal variables up to
    permutation and element-wise linear transformations also in the piecewise linear
    case. We test the theorem and conjecture on simulated data, showing the effectiveness
    of our method.
acknowledgement: "This work was initiated at the Second Bellairs Workshop on Causality
  held at the Bellairs Research Institute, January 6–13, 2022; we thank all workshop
  participants for providing a stimulating research environment. The research of DX
  and SM was supported by the Air Force Office of Scientific Research under award
  number FA8655-22-1-7155. Any opinions, findings, and conclusions or recommendations
  expressed in this material are those of the author(s) and do not necessarily reflect
  the views of the United States Air Force. We also thank SURF for the support in
  using the Dutch National Supercomputer Snellius. DY was supported by an Amazon fellowship
  and the International Max Planck Research School for Intelligent Systems (IMPRS-IS).
  Work done outside of Amazon. SL was supported by an IVADO excellence PhD scholarship
  and by Samsung Electronics Co., Ldt. JvK acknowledges support from the German Federal
  Ministry of Education and Research (BMBF)\r\nthrough the Tübingen AI Center (FKZ:
  01IS18039B).\r\n"
article_number: '54'
article_processing_charge: No
author:
- first_name: Danru
  full_name: Xu, Danru
  last_name: Xu
- first_name: Dingling
  full_name: Yao, Dingling
  id: d3e02e50-48a8-11ee-8f62-c108061797fa
  last_name: Yao
- first_name: Sebastien
  full_name: Lachapelle, Sebastien
  last_name: Lachapelle
- first_name: Perouz
  full_name: Taslakian, Perouz
  last_name: Taslakian
- first_name: Julius
  full_name: von Kügelgen, Julius
  last_name: von Kügelgen
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Sara
  full_name: Magliacane, Sara
  last_name: Magliacane
citation:
  ama: 'Xu D, Yao D, Lachapelle S, et al. A sparsity principle for partially observable
    causal representation learning. In: <i>Causal Representation Learning Workshop
    at NeurIPS 2023</i>. OpenReview; 2023.'
  apa: 'Xu, D., Yao, D., Lachapelle, S., Taslakian, P., von Kügelgen, J., Locatello,
    F., &#38; Magliacane, S. (2023). A sparsity principle for partially observable
    causal representation learning. In <i>Causal Representation Learning Workshop
    at NeurIPS 2023</i>. New Orleans, LA, United States: OpenReview.'
  chicago: Xu, Danru, Dingling Yao, Sebastien Lachapelle, Perouz Taslakian, Julius
    von Kügelgen, Francesco Locatello, and Sara Magliacane. “A Sparsity Principle
    for Partially Observable Causal Representation Learning.” In <i>Causal Representation
    Learning Workshop at NeurIPS 2023</i>. OpenReview, 2023.
  ieee: D. Xu <i>et al.</i>, “A sparsity principle for partially observable causal
    representation learning,” in <i>Causal Representation Learning Workshop at NeurIPS
    2023</i>, New Orleans, LA, United States, 2023.
  ista: 'Xu D, Yao D, Lachapelle S, Taslakian P, von Kügelgen J, Locatello F, Magliacane
    S. 2023. A sparsity principle for partially observable causal representation learning.
    Causal Representation Learning Workshop at NeurIPS 2023. CRL: Causal Representation
    Learning Workshop at NeurIPS, 54.'
  mla: Xu, Danru, et al. “A Sparsity Principle for Partially Observable Causal Representation
    Learning.” <i>Causal Representation Learning Workshop at NeurIPS 2023</i>, 54,
    OpenReview, 2023.
  short: D. Xu, D. Yao, S. Lachapelle, P. Taslakian, J. von Kügelgen, F. Locatello,
    S. Magliacane, in:, Causal Representation Learning Workshop at NeurIPS 2023, OpenReview,
    2023.
conference:
  end_date: 2023-12-15
  location: New Orleans, LA, United States
  name: 'CRL: Causal Representation Learning Workshop at NeurIPS'
  start_date: 2023-12-15
date_created: 2024-02-07T15:17:51Z
date_published: 2023-12-05T00:00:00Z
date_updated: 2025-02-04T12:37:34Z
day: '05'
ddc:
- '000'
department:
- _id: FrLo
file:
- access_level: open_access
  checksum: 484efc27bda75ed6666044989695d9b6
  content_type: application/pdf
  creator: dernst
  date_created: 2024-02-13T08:50:53Z
  date_updated: 2024-02-13T08:50:53Z
  file_id: '14982'
  file_name: 2023_CRL_Xu.pdf
  file_size: 552357
  relation: main_file
  success: 1
file_date_updated: 2024-02-13T08:50:53Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://openreview.net/forum?id=Whr6uobelR
month: '12'
oa: 1
oa_version: Published Version
publication: Causal Representation Learning Workshop at NeurIPS 2023
publication_status: published
publisher: OpenReview
quality_controlled: '1'
status: public
title: A sparsity principle for partially observable causal representation learning
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  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
