Objective
The HyperXAI project investigates the mathematical foundations of explainable artificial intelligence (XAI) for hypercomplex neural networks (HvNN). While the rapid expansion of artificial neural networks (ANNs), particularly deep learning, has produced major advances in fields such as image recognition and natural language processing, the reasoning behind their decisions often remains opaque. This challenge becomes even more critical when models deal with complex data structures such as colour information, multidimensional signals, or higher-order spatial relations. Hypercomplex neural networks—based on algebras such as complex numbers, quaternions, and Cayley–Dickson extensions—offer promising solutions, yet systematic approaches to their explainability are still at an early stage.
HyperXAI addresses this gap by integrating advanced mathematics with physics-inspired methodologies to develop rigorous frameworks for explainability and trustworthiness in HvNN. The project will design novel XAI methods tailored to hypercomplex architectures, validate them on synthetic and publicly available benchmark datasets across multiple data modalities, and propose a unified framework for HvNN interpretability.
By embedding explainability directly into HvNN models, HyperXAI will enhance transparency, reproducibility, and reliability. Beyond methodological advances, the project will build a sustainable international network of researchers from Poland, Spain, Czechia, Latvia, Azerbaijan, Türkiye, Iraq, South Korea, and Brazil, representing diverse traditions in mathematics, physics, and computer science.
Through staff exchanges, joint research, training schools, and open science practices, HyperXAI will strengthen interdisciplinary expertise and foster the development of a new generation of researchers. By consolidating the theoretical and computational basis of explainability for HvNN, the project will stimulate the adoption of hypercomplex XAI within the global scientific comm
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- engineering and technology materials engineering colors
- natural sciences computer and information sciences data science natural language processing
- natural sciences mathematics pure mathematics algebra
- natural sciences computer and information sciences artificial intelligence machine learning deep learning
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-SE - HORIZON TMA MSCA Staff Exchanges
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2025-SE-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
31-155 Krakow
Poland
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.