A Galois Framework for the Study of Analogical Classifiers

International audienceIn this paper, we survey some recent advances in the study of analogical classifiers, i.e., classifiers that are compatible with the principle of analogical inference. We will present a Galois framework induced by relation between formal models of analogy and the corresponding classes of analogy preserving functions. The usefulness these general results will be illustrated over Boolean domains, which explicitly present the Galois closed sets of analogical classifiers for different pairs of formal models of Boolean analogies

An analogy based approach for solving target sense verification

International audienceContextualized language models have emerged as a de facto standard in natural language processing due to the vast amount of knowledge they acquire during pretraining. Nonetheless, their ability to solve tasks that require reasoning over this knowledge is limited. Certain tasks can be improved by analogical reasoning over concepts, e.g., understanding the underlying relations in "Man is to Woman as King is to Queen". In this work, we propose a way to formulate target sense verification as an analogy detection task, by transforming the input data into quadruples. We present AB4TSV (Analogy and BERT for TSV), a model that uses BERT to represent the objects in these quadruples combined with a convolutional neural network to decide whether they constitute valid analogies. We test our system on the WiC-TSV evaluation benchmark, and show that it can outperform existing approaches. Our empirical study shows the importance of the input encoding for BERT. This dependence gets alleviated by integrating the axiomatic properties of analogies during training, while preserving performance and improving interpretability

IJCAI-ECAI Workshop “Interactions between Analogical Reasoning and Machine Learning” (IARML 2022)

International audienceAnalogical reasoning is a remarkable capability of human reasoning, used to solve hard reasoning tasks. It consists in transferring knowledge from a source domain to a different, but somewhat similar, target domain by relying simultaneously on similarities and dissimilarities. In particular, analogical proportions, i.e., statements of the form “A is to B as C is to D", are the basis of analogical inference. Analogical reasoning is pertaining to case-based reasoning and it has contributed to multiple machine learning tasks such as classification, decision making, and automatic translation with competitive results. Moreover, analogical extrapolation can support dataset augmentation (analogical extension) for model learning,especially in environments with few labeled examples. Conversely, advanced neural techniques, such as representation learning, enabled efficient approaches to detecting and solving analogies in domains where symbolic approaches had shown their limits. However, recent approaches using deep learning architectures remain task and domain specific, and strongly rely on ad-hoc representations of objects, i.e., tailor made embeddings.The first workshop Interactions between Analogical Reasoning and Machine Learning (IARML) was hosted by the 31st International Joint Conference on Artificial Intelligence and the 25th European Conference on Artificial Intelligence (IJCAI-ECAI 2022). It brought together AI researchers at the cross roads of machine learning, cognitive sciences and knowledge representation and reasoning, who are interested by the various applications of analogical reasoning in machine learning or, conversely, of machine learning techniques to improve analogical reasoning. The IARML workshop aims to bridge gaps between different AI communities, including case-based reasoning, deep learning and neuro-symbolic machine learning. The workshop welcomed submissions of research papers on all topics at the intersection of analogical reasoning and machine learning. The submissions were subjected to a strict double-blind reviewing process that resulted in the selection of six original contributions and two invited talks, in addition to the two plenary keynote talks