---
_id: '65736'
author:
- first_name: Louis Mozart
full_name: Kamdem Teyou, Louis Mozart
id: '101165'
last_name: Kamdem Teyou
- first_name: Caglar
full_name: Demir, Caglar
last_name: Demir
- first_name: Axel-Cyrille
full_name: Ngonga Ngomo, Axel-Cyrille
id: '65716'
last_name: Ngonga Ngomo
citation:
ama: 'Kamdem Teyou LM, Demir C, Ngonga Ngomo A-C. Semantics-Aware Caching for Concept
Learning. In: Lecture Notes in Computer Science. Springer Nature Switzerland;
2026. doi:10.1007/978-3-032-25156-5_26'
apa: Kamdem Teyou, L. M., Demir, C., & Ngonga Ngomo, A.-C. (2026). Semantics-Aware
Caching for Concept Learning. In Lecture Notes in Computer Science. Springer
Nature Switzerland. https://doi.org/10.1007/978-3-032-25156-5_26
bibtex: '@inbook{Kamdem Teyou_Demir_Ngonga Ngomo_2026, place={Cham}, title={Semantics-Aware
Caching for Concept Learning}, DOI={10.1007/978-3-032-25156-5_26},
booktitle={Lecture Notes in Computer Science}, publisher={Springer Nature Switzerland},
author={Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille},
year={2026} }'
chicago: 'Kamdem Teyou, Louis Mozart, Caglar Demir, and Axel-Cyrille Ngonga Ngomo.
“Semantics-Aware Caching for Concept Learning.” In Lecture Notes in Computer
Science. Cham: Springer Nature Switzerland, 2026. https://doi.org/10.1007/978-3-032-25156-5_26.'
ieee: 'L. M. Kamdem Teyou, C. Demir, and A.-C. Ngonga Ngomo, “Semantics-Aware Caching
for Concept Learning,” in Lecture Notes in Computer Science, Cham: Springer
Nature Switzerland, 2026.'
mla: Kamdem Teyou, Louis Mozart, et al. “Semantics-Aware Caching for Concept Learning.”
Lecture Notes in Computer Science, Springer Nature Switzerland, 2026, doi:10.1007/978-3-032-25156-5_26.
short: 'L.M. Kamdem Teyou, C. Demir, A.-C. Ngonga Ngomo, in: Lecture Notes in Computer
Science, Springer Nature Switzerland, Cham, 2026.'
date_created: 2026-05-29T14:22:42Z
date_updated: 2026-05-29T14:23:47Z
doi: 10.1007/978-3-032-25156-5_26
language:
- iso: eng
place: Cham
publication: Lecture Notes in Computer Science
publication_identifier:
isbn:
- '9783032251558'
- '9783032251565'
issn:
- 0302-9743
- 1611-3349
publication_status: published
publisher: Springer Nature Switzerland
status: public
title: Semantics-Aware Caching for Concept Learning
type: book_chapter
user_id: '101165'
year: '2026'
...
---
_id: '65735'
author:
- first_name: Isaac
full_name: Roberts, Isaac
last_name: Roberts
- first_name: Louis Mozart
full_name: Kamdem Teyou, Louis Mozart
id: '101165'
last_name: Kamdem Teyou
- first_name: Alexander
full_name: Schulz, Alexander
last_name: Schulz
- first_name: N'Dah Jean
full_name: Kouagou, N'Dah Jean
last_name: Kouagou
- first_name: Axel-Cyrille
full_name: Ngonga Ngomo, Axel-Cyrille
id: '65716'
last_name: Ngonga Ngomo
- first_name: Barbara
full_name: Hammer, Barbara
last_name: Hammer
citation:
ama: 'Roberts I, Kamdem Teyou LM, Schulz A, Kouagou NJ, Ngonga Ngomo A-C, Hammer
B. A Possible Human-Centered Embedding Space Search in Degenerate Clifford Algebras.
In: ESANN 2026 Proceedings. Ciaco - i6doc.com; 2026. doi:10.14428/esann/2026.es2026-283'
apa: Roberts, I., Kamdem Teyou, L. M., Schulz, A., Kouagou, N. J., Ngonga Ngomo,
A.-C., & Hammer, B. (2026). A Possible Human-Centered Embedding Space Search
in Degenerate Clifford Algebras. ESANN 2026 Proceedings. https://doi.org/10.14428/esann/2026.es2026-283
bibtex: '@inproceedings{Roberts_Kamdem Teyou_Schulz_Kouagou_Ngonga Ngomo_Hammer_2026,
title={A Possible Human-Centered Embedding Space Search in Degenerate Clifford
Algebras}, DOI={10.14428/esann/2026.es2026-283},
booktitle={ESANN 2026 proceedings}, publisher={Ciaco - i6doc.com}, author={Roberts,
Isaac and Kamdem Teyou, Louis Mozart and Schulz, Alexander and Kouagou, N’Dah
Jean and Ngonga Ngomo, Axel-Cyrille and Hammer, Barbara}, year={2026} }'
chicago: Roberts, Isaac, Louis Mozart Kamdem Teyou, Alexander Schulz, N’Dah Jean
Kouagou, Axel-Cyrille Ngonga Ngomo, and Barbara Hammer. “A Possible Human-Centered
Embedding Space Search in Degenerate Clifford Algebras.” In ESANN 2026 Proceedings.
Ciaco - i6doc.com, 2026. https://doi.org/10.14428/esann/2026.es2026-283.
ieee: 'I. Roberts, L. M. Kamdem Teyou, A. Schulz, N. J. Kouagou, A.-C. Ngonga Ngomo,
and B. Hammer, “A Possible Human-Centered Embedding Space Search in Degenerate
Clifford Algebras,” 2026, doi: 10.14428/esann/2026.es2026-283.'
mla: Roberts, Isaac, et al. “A Possible Human-Centered Embedding Space Search in
Degenerate Clifford Algebras.” ESANN 2026 Proceedings, Ciaco - i6doc.com,
2026, doi:10.14428/esann/2026.es2026-283.
short: 'I. Roberts, L.M. Kamdem Teyou, A. Schulz, N.J. Kouagou, A.-C. Ngonga Ngomo,
B. Hammer, in: ESANN 2026 Proceedings, Ciaco - i6doc.com, 2026.'
date_created: 2026-05-29T14:18:30Z
date_updated: 2026-05-29T14:23:40Z
doi: 10.14428/esann/2026.es2026-283
language:
- iso: eng
publication: ESANN 2026 proceedings
publication_status: published
publisher: Ciaco - i6doc.com
status: public
title: A Possible Human-Centered Embedding Space Search in Degenerate Clifford Algebras
type: conference
user_id: '101165'
year: '2026'
...
---
_id: '65734'
author:
- first_name: Louis Mozart
full_name: Kamdem Teyou, Louis Mozart
id: '101165'
last_name: Kamdem Teyou
- first_name: Luke
full_name: Friedrichs, Luke
last_name: Friedrichs
- first_name: N'Dah Jean
full_name: Kouagou, N'Dah Jean
id: '87189'
last_name: Kouagou
- first_name: Caglar
full_name: Demir, Caglar
id: '43817'
last_name: Demir
- first_name: Yasir
full_name: Mahmood, Yasir
id: '99353'
last_name: Mahmood
- first_name: Stefan
full_name: Heindorf, Stefan
id: '11871'
last_name: Heindorf
orcid: 0000-0002-4525-6865
- first_name: Axel-Cyrille
full_name: Ngonga Ngomo, Axel-Cyrille
id: '65716'
last_name: Ngonga Ngomo
citation:
ama: 'Kamdem Teyou LM, Friedrichs L, Kouagou NJ, et al. Neural Reasoning for Robust
Instance Retrieval in SHOIQ. In: ; 2025. doi:https://doi.org/10.1145/3731443.377134'
apa: Kamdem Teyou, L. M., Friedrichs, L., Kouagou, N. J., Demir, C., Mahmood, Y.,
Heindorf, S., & Ngonga Ngomo, A.-C. (2025). Neural Reasoning for Robust
Instance Retrieval in SHOIQ. The 13th COnference on Knowledge Capture (K-CAP’25),
Dayton-USA. https://doi.org/10.1145/3731443.377134
bibtex: '@inproceedings{Kamdem Teyou_Friedrichs_Kouagou_Demir_Mahmood_Heindorf_Ngonga
Ngomo_2025, title={Neural Reasoning for Robust Instance Retrieval in SHOIQ}, DOI={https://doi.org/10.1145/3731443.377134},
author={Kamdem Teyou, Louis Mozart and Friedrichs, Luke and Kouagou, N’Dah Jean
and Demir, Caglar and Mahmood, Yasir and Heindorf, Stefan and Ngonga Ngomo, Axel-Cyrille},
year={2025} }'
chicago: Kamdem Teyou, Louis Mozart, Luke Friedrichs, N’Dah Jean Kouagou, Caglar
Demir, Yasir Mahmood, Stefan Heindorf, and Axel-Cyrille Ngonga Ngomo. “Neural
Reasoning for Robust Instance Retrieval in SHOIQ,” 2025. https://doi.org/10.1145/3731443.377134.
ieee: 'L. M. Kamdem Teyou et al., “Neural Reasoning for Robust Instance Retrieval
in SHOIQ,” presented at the The 13th COnference on Knowledge Capture (K-CAP’25),
Dayton-USA, 2025, doi: https://doi.org/10.1145/3731443.377134.'
mla: Kamdem Teyou, Louis Mozart, et al. Neural Reasoning for Robust Instance
Retrieval in SHOIQ. 2025, doi:https://doi.org/10.1145/3731443.377134.
short: 'L.M. Kamdem Teyou, L. Friedrichs, N.J. Kouagou, C. Demir, Y. Mahmood, S.
Heindorf, A.-C. Ngonga Ngomo, in: 2025.'
conference:
end_date: 2025-12-12
location: Dayton-USA
name: The 13th COnference on Knowledge Capture (K-CAP'25)
start_date: 2025-12-09
date_created: 2026-05-29T14:12:43Z
date_updated: 2026-05-29T14:16:06Z
department:
- _id: '574'
doi: https://doi.org/10.1145/3731443.377134
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://dl.acm.org/doi/10.1145/3731443.3771348
oa: '1'
status: public
title: Neural Reasoning for Robust Instance Retrieval in SHOIQ
type: conference
user_id: '101165'
year: '2025'
...
---
_id: '62702'
abstract:
- lang: eng
text: 'Clifford algebras are a natural extension of division algebras, including
real numbers, complex numbers, quaternions, and octonions. Previous research in
knowledge graph embeddings has focused exclusively on Clifford algebras of a specific
type, which do not include nilpotent base vectors—elements that square to zero.
In this work, we introduce a novel approach by incorporating nilpotent base vectors
with a nilpotency index of two, leading to a more general form of Clifford algebras
named degenerate Clifford algebras. This generalization to degenerate Clifford
algebras does allow for covering dual numbers and as such include translations
and rotations models under the same generalization paradigm for the first time.
We develop two models to determine the parameters that define the algebra: one
using a greedy search and another predicting the parameters based on neural network
embeddings of the input knowledge graph. Our evaluation on seven benchmark datasets
demonstrates that this incorporation of nilpotent vectors enhances the quality
of embeddings. Additionally, our method outperforms state-of-the-art approaches
in terms of generalization, particularly regarding the mean reciprocal rank achieved
on validation data. Finally, we show that even a simple greedy search can effectively
discover optimal or near-optimal parameters for the algebra.'
author:
- first_name: Louis Mozart
full_name: Kamdem Teyou, Louis Mozart
id: '101165'
last_name: Kamdem Teyou
- first_name: Caglar
full_name: Demir, Caglar
id: '43817'
last_name: Demir
- first_name: Axel-Cyrille
full_name: Ngonga Ngomo, Axel-Cyrille
id: '65716'
last_name: Ngonga Ngomo
citation:
ama: 'Kamdem Teyou LM, Demir C, Ngonga Ngomo A-C. Embedding Knowledge Graphs in
Degenerate Clifford Algebras. In: Frontiers in Artificial Intelligence and
Applications. IOS Press; 2024. doi:10.3233/faia240627'
apa: Kamdem Teyou, L. M., Demir, C., & Ngonga Ngomo, A.-C. (2024). Embedding
Knowledge Graphs in Degenerate Clifford Algebras. In Frontiers in Artificial
Intelligence and Applications. 27TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE,
Santiago de Compostela. IOS Press. https://doi.org/10.3233/faia240627
bibtex: '@inbook{Kamdem Teyou_Demir_Ngonga Ngomo_2024, title={Embedding Knowledge
Graphs in Degenerate Clifford Algebras}, DOI={10.3233/faia240627},
booktitle={Frontiers in Artificial Intelligence and Applications}, publisher={IOS
Press}, author={Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo,
Axel-Cyrille}, year={2024} }'
chicago: Kamdem Teyou, Louis Mozart, Caglar Demir, and Axel-Cyrille Ngonga Ngomo.
“Embedding Knowledge Graphs in Degenerate Clifford Algebras.” In Frontiers
in Artificial Intelligence and Applications. IOS Press, 2024. https://doi.org/10.3233/faia240627.
ieee: L. M. Kamdem Teyou, C. Demir, and A.-C. Ngonga Ngomo, “Embedding Knowledge
Graphs in Degenerate Clifford Algebras,” in Frontiers in Artificial Intelligence
and Applications, IOS Press, 2024.
mla: Kamdem Teyou, Louis Mozart, et al. “Embedding Knowledge Graphs in Degenerate
Clifford Algebras.” Frontiers in Artificial Intelligence and Applications,
IOS Press, 2024, doi:10.3233/faia240627.
short: 'L.M. Kamdem Teyou, C. Demir, A.-C. Ngonga Ngomo, in: Frontiers in Artificial
Intelligence and Applications, IOS Press, 2024.'
conference:
end_date: 2024-10-24
location: Santiago de Compostela
name: 27TH EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE
start_date: 2024-10-19
date_created: 2025-11-28T14:32:43Z
date_updated: 2026-05-29T14:34:11Z
department:
- _id: '34'
- _id: '574'
doi: 10.3233/faia240627
language:
- iso: eng
popular_science: '1'
publication: Frontiers in Artificial Intelligence and Applications
publication_identifier:
isbn:
- '9781643685489'
issn:
- 0922-6389
- 1879-8314
publication_status: published
publisher: IOS Press
quality_controlled: '1'
status: public
title: Embedding Knowledge Graphs in Degenerate Clifford Algebras
type: book_chapter
user_id: '101165'
year: '2024'
...
---
_id: '62703'
abstract:
- lang: eng
text: We introduce a novel embedding method diverging from conventional approaches
by operating within function spaces of finite dimension rather than finite vector
space, thus departing significantly from standard knowledge graph embedding techniques.
Initially employing polynomial functions to compute embeddings, we progress to
more intricate representations using neural networks with varying layer complexities.
We argue that employing functions for embedding computation enhances expressiveness
and allows for more degrees of freedom, enabling operations such as composition,
derivatives and primitive of entities representation. Additionally, we meticulously
outline the step-by-step construction of our approach and provide code for reproducibility,
thereby facilitating further exploration and application in the field.
author:
- first_name: Louis Mozart
full_name: Kamdem Teyou, Louis Mozart
id: '101165'
last_name: Kamdem Teyou
- first_name: Caglar
full_name: Demir, Caglar
id: '43817'
last_name: Demir
- first_name: Axel-Cyrille
full_name: Ngonga Ngomo, Axel-Cyrille
last_name: Ngonga Ngomo
citation:
ama: 'Kamdem Teyou LM, Demir C, Ngonga Ngomo A-C. Embedding Knowledge Graphs in
Function Spaces. In: Proceedings of the 33rd ACM International Conference on
Information and Knowledge Management. ACM; 2024. doi:10.1145/3627673.3679819'
apa: Kamdem Teyou, L. M., Demir, C., & Ngonga Ngomo, A.-C. (2024). Embedding
Knowledge Graphs in Function Spaces. Proceedings of the 33rd ACM International
Conference on Information and Knowledge Management. 33rd ACM International
Conference on Information and Knowledge Management, Boise. https://doi.org/10.1145/3627673.3679819
bibtex: '@inproceedings{Kamdem Teyou_Demir_Ngonga Ngomo_2024, place={Boise}, title={Embedding
Knowledge Graphs in Function Spaces}, DOI={10.1145/3627673.3679819},
booktitle={Proceedings of the 33rd ACM International Conference on Information
and Knowledge Management}, publisher={ACM}, author={Kamdem Teyou, Louis Mozart
and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}, year={2024} }'
chicago: 'Kamdem Teyou, Louis Mozart, Caglar Demir, and Axel-Cyrille Ngonga Ngomo.
“Embedding Knowledge Graphs in Function Spaces.” In Proceedings of the 33rd
ACM International Conference on Information and Knowledge Management. Boise:
ACM, 2024. https://doi.org/10.1145/3627673.3679819.'
ieee: 'L. M. Kamdem Teyou, C. Demir, and A.-C. Ngonga Ngomo, “Embedding Knowledge
Graphs in Function Spaces,” presented at the 33rd ACM International Conference
on Information and Knowledge Management, Boise, 2024, doi: 10.1145/3627673.3679819.'
mla: Kamdem Teyou, Louis Mozart, et al. “Embedding Knowledge Graphs in Function
Spaces.” Proceedings of the 33rd ACM International Conference on Information
and Knowledge Management, ACM, 2024, doi:10.1145/3627673.3679819.
short: 'L.M. Kamdem Teyou, C. Demir, A.-C. Ngonga Ngomo, in: Proceedings of the
33rd ACM International Conference on Information and Knowledge Management, ACM,
Boise, 2024.'
conference:
end_date: 2024-10-25
location: Boise
name: 33rd ACM International Conference on Information and Knowledge Management
start_date: 2024-10-21
date_created: 2025-11-28T14:42:32Z
date_updated: 2026-05-29T14:32:04Z
department:
- _id: '34'
- _id: '574'
doi: 10.1145/3627673.3679819
language:
- iso: eng
place: Boise
publication: Proceedings of the 33rd ACM International Conference on Information and
Knowledge Management
publication_status: published
publisher: ACM
status: public
title: Embedding Knowledge Graphs in Function Spaces
type: conference
user_id: '101165'
year: '2024'
...