[PDF][PDF] Analogical Proportions: Why They Are Useful in AI.

H Prade, G Richard - IJCAI, 2021 - ijcai.org
This paper presents a survey of researches in analogical reasoning whose building block
are analogical proportions which are statements of the form “a is to b as c is to d”. They have …

Relevant Entity Selection: Knowledge Graph Bootstrapping via Zero-Shot Analogical Pruning

L Jarnac, M Couceiro, P Monnin - Proceedings of the 32nd ACM …, 2023 - dl.acm.org
Knowledge Graph Construction (KGC) can be seen as an iterative process starting from a
high quality nucleus that is refined by knowledge extraction approaches in a virtuous loop …

A neural approach for detecting morphological analogies

S Alsaidi, A Decker, P Lay, E Marquer… - 2021 IEEE 8th …, 2021 - ieeexplore.ieee.org
Analogical proportions are statements of the form “A is to B as C is to D” that are used for
several reasoning and classification tasks in artificial intelligence and natural language …

Galois theory for analogical classifiers

M Couceiro, E Lehtonen - Annals of Mathematics and Artificial Intelligence, 2024 - Springer
Analogical proportions are 4-ary relations that read “A is to B as C is to D”. Recent works
have highlighted the fact that such relations can support a specific form of inference, called …

Multiclass classification utilising an estimated algorithmic probability prior

K Dingle, P Batlle, H Owhadi - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Methods of pattern recognition and machine learning are applied extensively in science,
technology, and society. Hence, any advances in related theory may translate into large …

Analogies between sentences: Theoretical aspects-preliminary experiments

S Afantenos, T Kunze, S Lim, H Prade… - Symbolic and Quantitative …, 2021 - Springer
Analogical proportions hold between 4 items a, b, c, d insofar as we can consider that “a is to
b as c is to d”. Such proportions are supposed to obey postulates, from which one can derive …

AnaloBench: Benchmarking the Identification of Abstract and Long-context Analogies

X Ye, A Wang, J Choi, Y Lu, S Sharma, L Shen… - arXiv preprint arXiv …, 2024 - arxiv.org
Humans regularly engage in analogical thinking, relating personal experiences to current
situations ($ X $ is analogous to $ Y $ because of $ Z $). Analogical thinking allows humans …

On the transferability of neural models of morphological analogies

S Alsaidi, A Decker, P Lay, E Marquer… - … Conference on Machine …, 2021 - Springer
Analogical proportions are statements expressed in the form “A is to B as C is to D” and are
used for several reasoning and classification tasks in artificial intelligence and natural …

A deep learning approach to solving morphological analogies

E Marquer, S Alsaidi, A Decker, PA Murena… - … Conference on Case …, 2022 - Springer
Analogical proportions are statements of the form “A is to B as C is to D”. They support
analogical inference and provide a logical framework to address learning, transfer, and …

[PDF][PDF] Interactions Between Knowledge Graph-Related Tasks and Analogical Reasoning: A Discussion

P Monnin, M Couceiro - Workshop ATA@ ICCBR 2022-Analogies: from …, 2022 - hal.science
Analogical reasoning has been extensively studied and relies on statements of the form “A is
to B as C is to D” that are called analogical proportions. The motivation of our work is based …