---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '12662'
abstract:
- lang: eng
  text: 'Modern machine learning tasks often require considering not just one but
    multiple objectives. For example, besides the prediction quality, this could be
    the efficiency, robustness or fairness of the learned models, or any of their
    combinations. Multi-objective learning offers a natural framework for handling
    such problems without having to commit to early trade-offs. Surprisingly, statistical
    learning theory so far offers almost no insight into the generalization properties
    of multi-objective learning. In this work, we make first steps to fill this gap:
    We establish foundational generalization bounds for the multi-objective setting
    as well as generalization and excess bounds for learning with scalarizations.
    We also provide the first theoretical analysis of the relation between the Pareto-optimal
    sets of the true objectives and the Pareto-optimal sets of their empirical approximations
    from training data. In particular, we show a surprising asymmetry: All Pareto-optimal
    solutions can be approximated by empirically Pareto-optimal ones, but not vice
    versa.'
acknowledgement: Open access funding provided by Institute of Science and Technology
  (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Peter
  full_name: Súkeník, Peter
  id: d64d6a8d-eb8e-11eb-b029-96fd216dec3c
  last_name: Súkeník
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: Súkeník P, Lampert C. Generalization in multi-objective machine learning. <i>Neural
    Computing and Applications</i>. 2025;37:24669–24683. doi:<a href="https://doi.org/10.1007/s00521-024-10616-1">10.1007/s00521-024-10616-1</a>
  apa: Súkeník, P., &#38; Lampert, C. (2025). Generalization in multi-objective machine
    learning. <i>Neural Computing and Applications</i>. Springer Nature. <a href="https://doi.org/10.1007/s00521-024-10616-1">https://doi.org/10.1007/s00521-024-10616-1</a>
  chicago: Súkeník, Peter, and Christoph Lampert. “Generalization in Multi-Objective
    Machine Learning.” <i>Neural Computing and Applications</i>. Springer Nature,
    2025. <a href="https://doi.org/10.1007/s00521-024-10616-1">https://doi.org/10.1007/s00521-024-10616-1</a>.
  ieee: P. Súkeník and C. Lampert, “Generalization in multi-objective machine learning,”
    <i>Neural Computing and Applications</i>, vol. 37. Springer Nature, pp. 24669–24683,
    2025.
  ista: Súkeník P, Lampert C. 2025. Generalization in multi-objective machine learning.
    Neural Computing and Applications. 37, 24669–24683.
  mla: Súkeník, Peter, and Christoph Lampert. “Generalization in Multi-Objective Machine
    Learning.” <i>Neural Computing and Applications</i>, vol. 37, Springer Nature,
    2025, pp. 24669–24683, doi:<a href="https://doi.org/10.1007/s00521-024-10616-1">10.1007/s00521-024-10616-1</a>.
  short: P. Súkeník, C. Lampert, Neural Computing and Applications 37 (2025) 24669–24683.
corr_author: '1'
date_created: 2023-02-20T08:23:06Z
date_published: 2025-10-01T00:00:00Z
date_updated: 2025-12-30T06:39:56Z
day: '01'
ddc:
- '004'
department:
- _id: ChLa
doi: 10.1007/s00521-024-10616-1
external_id:
  arxiv:
  - '2208.13499'
file:
- access_level: open_access
  checksum: 61ad4591aee16b1e02daf6c164321a42
  content_type: application/pdf
  creator: dernst
  date_created: 2025-12-30T06:39:11Z
  date_updated: 2025-12-30T06:39:11Z
  file_id: '20877'
  file_name: 2025_NeuralCompApplic_Sukenik.pdf
  file_size: 500213
  relation: main_file
  success: 1
file_date_updated: 2025-12-30T06:39:11Z
has_accepted_license: '1'
intvolume: '        37'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 24669–24683
publication: Neural Computing and Applications
publication_identifier:
  eissn:
  - 1433-3058
  issn:
  - 0941-0643
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalization in multi-objective machine learning
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: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2025'
...
---
_id: '14451'
abstract:
- lang: eng
  text: 'We investigate the potential of Multi-Objective, Deep Reinforcement Learning
    for stock and cryptocurrency single-asset trading: in particular, we consider
    a Multi-Objective algorithm which generalizes the reward functions and discount
    factor (i.e., these components are not specified a priori, but incorporated in
    the learning process). Firstly, using several important assets (BTCUSD, ETHUSDT,
    XRPUSDT, AAPL, SPY, NIFTY50), we verify the reward generalization property of
    the proposed Multi-Objective algorithm, and provide preliminary statistical evidence
    showing increased predictive stability over the corresponding Single-Objective
    strategy. Secondly, we show that the Multi-Objective algorithm has a clear edge
    over the corresponding Single-Objective strategy when the reward mechanism is
    sparse (i.e., when non-null feedback is infrequent over time). Finally, we discuss
    the generalization properties with respect to the discount factor. The entirety
    of our code is provided in open-source format.'
acknowledgement: Open access funding provided by Università degli Studi di Trieste
  within the CRUI-CARE Agreement. Funding was provided by Austrian Science Fund (Grant
  No. F65), Horizon 2020 (Grant No. 754411) and Österreichische Forschungsförderungsgesellschaft.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Federico
  full_name: Cornalba, Federico
  id: 2CEB641C-A400-11E9-A717-D712E6697425
  last_name: Cornalba
  orcid: 0000-0002-6269-5149
- first_name: Constantin
  full_name: Disselkamp, Constantin
  last_name: Disselkamp
- first_name: Davide
  full_name: Scassola, Davide
  last_name: Scassola
- first_name: Christopher
  full_name: Helf, Christopher
  last_name: Helf
citation:
  ama: 'Cornalba F, Disselkamp C, Scassola D, Helf C. Multi-objective reward generalization:
    Improving performance of Deep Reinforcement Learning for applications in single-asset
    trading. <i>Neural Computing and Applications</i>. 2024;36(2):617-637. doi:<a
    href="https://doi.org/10.1007/s00521-023-09033-7">10.1007/s00521-023-09033-7</a>'
  apa: 'Cornalba, F., Disselkamp, C., Scassola, D., &#38; Helf, C. (2024). Multi-objective
    reward generalization: Improving performance of Deep Reinforcement Learning for
    applications in single-asset trading. <i>Neural Computing and Applications</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s00521-023-09033-7">https://doi.org/10.1007/s00521-023-09033-7</a>'
  chicago: 'Cornalba, Federico, Constantin Disselkamp, Davide Scassola, and Christopher
    Helf. “Multi-Objective Reward Generalization: Improving Performance of Deep Reinforcement
    Learning for Applications in Single-Asset Trading.” <i>Neural Computing and Applications</i>.
    Springer Nature, 2024. <a href="https://doi.org/10.1007/s00521-023-09033-7">https://doi.org/10.1007/s00521-023-09033-7</a>.'
  ieee: 'F. Cornalba, C. Disselkamp, D. Scassola, and C. Helf, “Multi-objective reward
    generalization: Improving performance of Deep Reinforcement Learning for applications
    in single-asset trading,” <i>Neural Computing and Applications</i>, vol. 36, no.
    2. Springer Nature, pp. 617–637, 2024.'
  ista: 'Cornalba F, Disselkamp C, Scassola D, Helf C. 2024. Multi-objective reward
    generalization: Improving performance of Deep Reinforcement Learning for applications
    in single-asset trading. Neural Computing and Applications. 36(2), 617–637.'
  mla: 'Cornalba, Federico, et al. “Multi-Objective Reward Generalization: Improving
    Performance of Deep Reinforcement Learning for Applications in Single-Asset Trading.”
    <i>Neural Computing and Applications</i>, vol. 36, no. 2, Springer Nature, 2024,
    pp. 617–37, doi:<a href="https://doi.org/10.1007/s00521-023-09033-7">10.1007/s00521-023-09033-7</a>.'
  short: F. Cornalba, C. Disselkamp, D. Scassola, C. Helf, Neural Computing and Applications
    36 (2024) 617–637.
corr_author: '1'
date_created: 2023-10-22T22:01:16Z
date_published: 2024-01-01T00:00:00Z
date_updated: 2025-04-23T07:39:14Z
day: '01'
ddc:
- '000'
department:
- _id: JuFi
doi: 10.1007/s00521-023-09033-7
ec_funded: 1
external_id:
  arxiv:
  - '2203.04579'
  pmid:
  - '38187995'
file:
- access_level: open_access
  checksum: 04573d8e74c6119b97c2ca0a984e19a1
  content_type: application/pdf
  creator: dernst
  date_created: 2024-07-16T08:08:54Z
  date_updated: 2024-07-16T08:08:54Z
  file_id: '17251'
  file_name: 2024_NeuralCompApplications_Cornalba.pdf
  file_size: 4412285
  relation: main_file
  success: 1
file_date_updated: 2024-07-16T08:08:54Z
has_accepted_license: '1'
intvolume: '        36'
issue: '2'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 617-637
pmid: 1
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Neural Computing and Applications
publication_identifier:
  eissn:
  - 1433-3058
  issn:
  - 0941-0643
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Multi-objective reward generalization: Improving performance of Deep Reinforcement
  Learning for applications in single-asset trading'
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: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2024'
...
