The ‘hnique selling point” of fuzzy systems is usually the interpretability of its rule base. However, very often only the U C C U T U C ~ of the rule base is measured and used to compare a fuzzy system to other solutions. We have suggested an index to measurz the interpretability of fuzzy rule bases for classification problems. However, the index can be used to describe the interpretability of...

The inductive learning of a fuzzy rule-based classification system (FRBCS) with high interpretability is made difficult by the presence of a large number of features that increases the dimensionality of the problem being solved. The difficult comes from the exponential growth of the fuzzy rule search space with the increase in the number of features considered. In this work we tackle this probl...

Next to prediction accuracy, interpretability is one of the fundamental performance criteria for machine learning. While high accuracy learners have intensively been explored, interpretability still poses a difficult problem. To combine accuracy and interpretability, this paper introduces an framework which combines an approximative model with a severely restricted number of features with a mor...

Our main result is the equivalence of two notions of reducibility between structures. One is a syntactical notion which is an effective version of interpretability as in model theory, and the other one is a computational notion which is a strengthening of the wellknown Medvedev reducibility. We extend our result to effective biinterpretability and also to effective reductions between classes of...

Abstract Aims: Scoliosis is one of the secondary complications in amputation veterans, which requires periodic evaluations. The gold standard for evaluating the spine is radiography, which has caused many concerns due to the very high doses of X-ray radiation. For this reason, therapists are finding for an alternative method for this tool, so ultrasound is a non-invasive tool with different me...

Along with the great success of deep neural networks, there is also growing concern about their black-box nature. The interpretability issue affects people's trust on learning systems. It related to many ethical problems, e.g., algorithmic discrimination. Moreover, a desired property for networks become powerful tools in other research fields, drug discovery and genomics. In this survey, we con...

Recently, Word2Vec tool has attracted a lot of interest for its promising performances in a variety of natural language processing (NLP) tasks. However, a critical issue is that the dense word representations learned in Word2Vec are lacking of interpretability. It is natural to ask if one could improve their interpretability while keeping their performances. Inspired by the success of sparse mo...

abstract. In this article we study interpolation properties for the minimal system of interpretability logic IL. We prove that arrow interpolation holds for IL and that turnstile interpolation and interpolation for the-modality easily follow from this result. Furthermore , these properties are extended to the system ILP. Failure of arrow interpolation for ILW is established by providing an expl...