@inbook{65736,
  author       = {{Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}},
  booktitle    = {{Lecture Notes in Computer Science}},
  isbn         = {{9783032251558}},
  issn         = {{0302-9743}},
  publisher    = {{Springer Nature Switzerland}},
  title        = {{{Semantics-Aware Caching for Concept Learning}}},
  doi          = {{10.1007/978-3-032-25156-5_26}},
  year         = {{2026}},
}

@inproceedings{65735,
  author       = {{Roberts, Isaac and Kamdem Teyou, Louis Mozart and Schulz, Alexander and Kouagou, N'Dah Jean and Ngonga Ngomo, Axel-Cyrille and Hammer, Barbara}},
  booktitle    = {{ESANN 2026 proceedings}},
  publisher    = {{Ciaco - i6doc.com}},
  title        = {{{A Possible Human-Centered Embedding Space Search in Degenerate Clifford Algebras}}},
  doi          = {{10.14428/esann/2026.es2026-283}},
  year         = {{2026}},
}

@inproceedings{65734,
  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}},
  location     = {{Dayton-USA}},
  title        = {{{Neural Reasoning for Robust Instance Retrieval in SHOIQ}}},
  doi          = {{https://doi.org/10.1145/3731443.377134}},
  year         = {{2025}},
}

@inbook{62702,
  abstract     = {{<jats:p>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.</jats:p>}},
  author       = {{Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}},
  booktitle    = {{Frontiers in Artificial Intelligence and Applications}},
  isbn         = {{9781643685489}},
  issn         = {{0922-6389}},
  location     = {{Santiago de Compostela}},
  publisher    = {{IOS Press}},
  title        = {{{Embedding Knowledge Graphs in Degenerate Clifford Algebras}}},
  doi          = {{10.3233/faia240627}},
  year         = {{2024}},
}

@inproceedings{62703,
  abstract     = {{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       = {{Kamdem Teyou, Louis Mozart and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}},
  booktitle    = {{Proceedings of the 33rd ACM International Conference on Information and Knowledge Management}},
  location     = {{Boise}},
  publisher    = {{ACM}},
  title        = {{{Embedding Knowledge Graphs in Function Spaces}}},
  doi          = {{10.1145/3627673.3679819}},
  year         = {{2024}},
}