---
OA_place: publisher
OA_type: hybrid
_id: '22006'
abstract:
- lang: eng
  text: Runtime monitoring checks, during execution, whether a partial signal produced
    by a hybrid system satisfies its specification. Signal First-Order Logic (SFO)
    offers expressive real-time specifications over such signals, but currently comes
    only with Boolean semantics and has no tool support. We provide the first robustness-based
    quantitative semantics for SFO, enabling the expression and evaluation of rich
    real-time properties beyond the scope of existing formalisms such as Signal Temporal
    Logic. To enable online monitoring, we identify a past-time fragment of SFO and
    give a pastification procedure that transforms bounded-response SFO formulas into
    equisatisfiable formulas in this fragment. We then develop an efficient runtime
    monitoring algorithm for this past-time fragment and evaluate its performance
    on a set of benchmarks, demonstrating the practicality and effectiveness of our
    approach. To the best of our knowledge, this is the first publicly available prototype
    for online quantitative monitoring of full SFO.
acknowledgement: We thank the anonymous reviewers for their helpful comments. This
  work was supported by the European Research Council (ERC) Grants VAMOS (No. 101020093)
  and HYPER (No. 101055412), and by the Advanced Research and Invention Agency under
  the Safeguarded AI programme (MSAI-PR01-P047).
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Marek
  full_name: Chalupa, Marek
  id: 87e34708-d6c6-11ec-9f5b-9391e7be2463
  last_name: Chalupa
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Naci E
  full_name: Sarac, Naci E
  id: 8C6B42F8-C8E6-11E9-A03A-F2DCE5697425
  last_name: Sarac
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
  orcid: 0000-0002-4993-773X
citation:
  ama: 'Chalupa M, Henzinger TA, Sarac NE, Yu E. Quantitative monitoring of Signal
    First-Order logic. In: <i>27th International Symposium on Formal Methods</i>.
    Vol 16557. Springer Nature; 2026:214-233. doi:<a href="https://doi.org/10.1007/978-3-032-26220-2_11">10.1007/978-3-032-26220-2_11</a>'
  apa: 'Chalupa, M., Henzinger, T. A., Sarac, N. E., &#38; Yu, E. (2026). Quantitative
    monitoring of Signal First-Order logic. In <i>27th International Symposium on
    Formal Methods</i> (Vol. 16557, pp. 214–233). Tokyo, Japan: Springer Nature. <a
    href="https://doi.org/10.1007/978-3-032-26220-2_11">https://doi.org/10.1007/978-3-032-26220-2_11</a>'
  chicago: Chalupa, Marek, Thomas A Henzinger, Naci E Sarac, and Emily Yu. “Quantitative
    Monitoring of Signal First-Order Logic.” In <i>27th International Symposium on
    Formal Methods</i>, 16557:214–33. Springer Nature, 2026. <a href="https://doi.org/10.1007/978-3-032-26220-2_11">https://doi.org/10.1007/978-3-032-26220-2_11</a>.
  ieee: M. Chalupa, T. A. Henzinger, N. E. Sarac, and E. Yu, “Quantitative monitoring
    of Signal First-Order logic,” in <i>27th International Symposium on Formal Methods</i>,
    Tokyo, Japan, 2026, vol. 16557, pp. 214–233.
  ista: 'Chalupa M, Henzinger TA, Sarac NE, Yu E. 2026. Quantitative monitoring of Signal
    First-Order logic. 27th International Symposium on Formal Methods. FM: Formal
    Methods, LNCS, vol. 16557, 214–233.'
  mla: Chalupa, Marek, et al. “Quantitative Monitoring of Signal First-Order Logic.”
    <i>27th International Symposium on Formal Methods</i>, vol. 16557, Springer Nature,
    2026, pp. 214–33, doi:<a href="https://doi.org/10.1007/978-3-032-26220-2_11">10.1007/978-3-032-26220-2_11</a>.
  short: M. Chalupa, T.A. Henzinger, N.E. Sarac, E. Yu, in:, 27th International Symposium
    on Formal Methods, Springer Nature, 2026, pp. 214–233.
conference:
  end_date: 2026-05-22
  location: Tokyo, Japan
  name: 'FM: Formal Methods'
  start_date: 2026-05-18
das_tickbox: '0'
date_created: 2026-06-14T22:01:44Z
date_published: 2026-05-18T00:00:00Z
date_updated: 2026-06-22T08:21:09Z
day: '18'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-032-26220-2_11
ec_funded: 1
external_id:
  arxiv:
  - '2603.00728'
file:
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has_accepted_license: '1'
intvolume: '     16557'
keyword:
- Signal first-order logic
- Robustness-based quantitative semantics
- Online runtime monitoring
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '05'
oa: 1
oa_version: Published Version
page: 214-233
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 27th International Symposium on Formal Methods
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783032262196'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative monitoring of Signal First-Order logic
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  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: 16557
year: '2026'
...
---
OA_place: publisher
_id: '10799'
abstract:
- lang: eng
  text: "Because of the increasing popularity of machine learning methods, it is becoming
    important to understand the impact of learned components on automated decision-making
    systems and to guarantee that their consequences are beneficial to society. In
    other words, it is necessary to ensure that machine learning is sufficiently trustworthy
    to be used in real-world applications. This thesis studies two properties of machine
    learning models that are highly desirable for the\r\nsake of reliability: robustness
    and fairness. In the first part of the thesis we study the robustness of learning
    algorithms to training data corruption. Previous work has shown that machine learning
    models are vulnerable to a range\r\nof training set issues, varying from label
    noise through systematic biases to worst-case data manipulations. This is an especially
    relevant problem from a present perspective, since modern machine learning methods
    are particularly data hungry and therefore practitioners often have to rely on
    data collected from various external sources, e.g. from the Internet, from app
    users or via crowdsourcing. Naturally, such sources vary greatly in the quality
    and reliability of the\r\ndata they provide. With these considerations in mind,
    we study the problem of designing machine learning algorithms that are robust
    to corruptions in data coming from multiple sources. We show that, in contrast
    to the case of a single dataset with outliers, successful learning within this
    model is possible both theoretically and practically, even under worst-case data
    corruptions. The second part of this thesis deals with fairness-aware machine
    learning. There are multiple areas where machine learning models have shown promising
    results, but where careful considerations are required, in order to avoid discrimanative
    decisions taken by such learned components. Ensuring fairness can be particularly
    challenging, because real-world training datasets are expected to contain various
    forms of historical bias that may affect the learning process. In this thesis
    we show that data corruption can indeed render the problem of achieving fairness
    impossible, by tightly characterizing the theoretical limits of fair learning
    under worst-case data manipulations. However, assuming access to clean data, we
    also show how fairness-aware learning can be made practical in contexts beyond
    binary classification, in particular in the challenging learning to rank setting."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Nikola H
  full_name: Konstantinov, Nikola H
  id: 4B9D76E4-F248-11E8-B48F-1D18A9856A87
  last_name: Konstantinov
  orcid: 0009-0009-5204-7621
citation:
  ama: Konstantinov NH. Robustness and fairness in machine learning. 2022. doi:<a
    href="https://doi.org/10.15479/at:ista:10799">10.15479/at:ista:10799</a>
  apa: Konstantinov, N. H. (2022). <i>Robustness and fairness in machine learning</i>.
    Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/at:ista:10799">https://doi.org/10.15479/at:ista:10799</a>
  chicago: Konstantinov, Nikola H. “Robustness and Fairness in Machine Learning.”
    Institute of Science and Technology Austria, 2022. <a href="https://doi.org/10.15479/at:ista:10799">https://doi.org/10.15479/at:ista:10799</a>.
  ieee: N. H. Konstantinov, “Robustness and fairness in machine learning,” Institute
    of Science and Technology Austria, 2022.
  ista: Konstantinov NH. 2022. Robustness and fairness in machine learning. Institute
    of Science and Technology Austria.
  mla: Konstantinov, Nikola H. <i>Robustness and Fairness in Machine Learning</i>.
    Institute of Science and Technology Austria, 2022, doi:<a href="https://doi.org/10.15479/at:ista:10799">10.15479/at:ista:10799</a>.
  short: N.H. Konstantinov, Robustness and Fairness in Machine Learning, Institute
    of Science and Technology Austria, 2022.
corr_author: '1'
date_created: 2022-02-28T13:03:49Z
date_published: 2022-03-08T00:00:00Z
date_updated: 2026-04-07T14:19:48Z
day: '08'
ddc:
- '000'
degree_awarded: PhD
department:
- _id: GradSch
- _id: ChLa
doi: 10.15479/at:ista:10799
ec_funded: 1
file:
- access_level: open_access
  checksum: 626bc523ae8822d20e635d0e2d95182e
  content_type: application/pdf
  creator: nkonstan
  date_created: 2022-03-06T11:42:54Z
  date_updated: 2022-03-06T11:42:54Z
  file_id: '10823'
  file_name: thesis.pdf
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  date_created: 2022-03-06T11:42:57Z
  date_updated: 2022-03-10T12:11:48Z
  file_id: '10824'
  file_name: thesis.zip
  file_size: 22841103
  relation: source_file
file_date_updated: 2022-03-10T12:11:48Z
has_accepted_license: '1'
keyword:
- robustness
- fairness
- machine learning
- PAC learning
- adversarial learning
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: '176'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication_identifier:
  isbn:
  - 978-3-99078-015-2
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '10802'
    relation: part_of_dissertation
    status: public
  - id: '10803'
    relation: part_of_dissertation
    status: public
  - id: '6590'
    relation: part_of_dissertation
    status: public
  - id: '8724'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
title: Robustness and fairness in machine learning
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2022'
...
---
_id: '10802'
abstract:
- lang: eng
  text: "Addressing fairness concerns about machine learning models is a crucial step
    towards their long-term adoption in real-world automated systems. While many approaches
    have been developed for training fair models from data, little is known about
    the robustness of these methods to data corruption. In this work we consider fairness-aware
    learning under worst-case data manipulations. We show that an adversary can in
    some situations force any learner to return an overly biased classifier, regardless
    of the sample size and with or without degrading\r\naccuracy, and that the strength
    of the excess bias increases for learning problems with underrepresented protected
    groups in the data. We also prove that our hardness results are tight up to constant
    factors. To this end, we study two natural learning algorithms that optimize for
    both accuracy and fairness and show that these algorithms enjoy guarantees that
    are order-optimal in terms of the corruption ratio and the protected groups frequencies
    in the large data\r\nlimit."
acknowledgement: The authors thank Eugenia Iofinova and Bernd Prach for providing
  feedback on early versions of this paper. This publication was made possible by
  an ETH AI Center postdoctoral fellowship to Nikola Konstantinov.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nikola H
  full_name: Konstantinov, Nikola H
  id: 4B9D76E4-F248-11E8-B48F-1D18A9856A87
  last_name: Konstantinov
  orcid: 0009-0009-5204-7621
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0002-4561-241X
citation:
  ama: Konstantinov NH, Lampert C. Fairness-aware PAC learning from corrupted data.
    <i>Journal of Machine Learning Research</i>. 2022;23:1-60.
  apa: Konstantinov, N. H., &#38; Lampert, C. (2022). Fairness-aware PAC learning
    from corrupted data. <i>Journal of Machine Learning Research</i>. ML Research
    Press.
  chicago: Konstantinov, Nikola H, and Christoph Lampert. “Fairness-Aware PAC Learning
    from Corrupted Data.” <i>Journal of Machine Learning Research</i>. ML Research
    Press, 2022.
  ieee: N. H. Konstantinov and C. Lampert, “Fairness-aware PAC learning from corrupted
    data,” <i>Journal of Machine Learning Research</i>, vol. 23. ML Research Press,
    pp. 1–60, 2022.
  ista: Konstantinov NH, Lampert C. 2022. Fairness-aware PAC learning from corrupted
    data. Journal of Machine Learning Research. 23, 1–60.
  mla: Konstantinov, Nikola H., and Christoph Lampert. “Fairness-Aware PAC Learning
    from Corrupted Data.” <i>Journal of Machine Learning Research</i>, vol. 23, ML
    Research Press, 2022, pp. 1–60.
  short: N.H. Konstantinov, C. Lampert, Journal of Machine Learning Research 23 (2022)
    1–60.
corr_author: '1'
date_created: 2022-02-28T14:05:42Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2026-04-07T14:19:48Z
day: '01'
ddc:
- '004'
department:
- _id: ChLa
external_id:
  arxiv:
  - '2102.06004'
file:
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  checksum: 9cac897b54a0ddf3a553a2c33e88cfda
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  date_created: 2022-07-12T15:08:28Z
  date_updated: 2022-07-12T15:08:28Z
  file_id: '11570'
  file_name: 2022_JournalMachineLearningResearch_Konstantinov.pdf
  file_size: 551862
  relation: main_file
  success: 1
file_date_updated: 2022-07-12T15:08:28Z
has_accepted_license: '1'
intvolume: '        23'
keyword:
- Fairness
- robustness
- data poisoning
- trustworthy machine learning
- PAC learning
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 1-60
publication: Journal of Machine Learning Research
publication_identifier:
  eissn:
  - 1533-7928
  issn:
  - 1532-4435
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
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    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Fairness-aware PAC learning from corrupted data
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  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: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
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...
