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This paper presents a method for semantic indexing and describes its application in the field of knowledge representation. Starting point of the semantic indexing is the knowledge represented by concept hierarchies. The goal is to assign…

Artificial Intelligence · Computer Science 2025-01-22 Uwe Petersohn , Sandra Zimmer , Jens Lehmann

A central concept within informatics is in modelling such systems for the purpose of reasoning (perhaps automated) about their behaviour and properties. To this end, one requires an interpretation of logical formulae in terms of the…

Logic in Computer Science · Computer Science 2024-05-13 Alexander V. Gheorghiu , Tao Gu , David J. Pym

This article is due to appear in the Handbook of Statistics, Vol. 43, Elsevier/North-Holland, Amsterdam, edited by Arni S. R. Srinivasa Rao and C. R. Rao. In modern day analytics, there is ever growing need to develop statistical models to…

Statistics Theory · Mathematics 2019-08-20 Deepak Nag Ayyala

When language models answer open-ended problems, they implicitly make hidden decisions that shape their outputs, leaving users with uncontextualized answers rather than a working map of the problem; drawing on multiverse analysis from…

Human-Computer Interaction · Computer Science 2026-05-05 Andre Ye , Jenny Y. Huang , Alicia Guo , Rose Novick , Tamara Broderick , Mitchell L. Gordon

Interpretability has become an essential topic for artificial intelligence in some high-risk domains such as healthcare, bank and security. For commonly-used tabular data, traditional methods trained end-to-end machine learning models with…

Artificial Intelligence · Computer Science 2022-08-18 Haixiao Chi , Dawei Wang , Gaojie Cui , Feng Mao , Beishui Liao

Within the biological, physical, and social sciences, there are two broad quantitative traditions: statistical and mathematical modeling. Both traditions have the common pursuit of advancing our scientific knowledge, but these traditions…

Other Statistics · Statistics 2026-03-05 Paul N Zivich

Semantic information is often represented as the entities and the relationships among them with conventional semantic models. This approach is straightforward but is not suitable for many posteriori requests in semantic data modeling. In…

Databases · Computer Science 2016-09-13 Xuhui Li

This paper presents a computational model of concept learning using Bayesian inference for a grammatically structured hypothesis space, and test the model on multisensory (visual and haptics) recognition of 3D objects. The study is…

Computer Vision and Pattern Recognition · Computer Science 2014-09-25 Ifeoma Nwogu , Goker Erdogan , Ilker Yildirim , Robert Jacobs

The last decade has seen huge progress in the development of advanced machine learning models; however, those models are powerless unless human users can interpret them. Here we show how the mind's construction of concepts and meaning can…

Machine Learning · Statistics 2016-07-04 Nick Condry

The notion of concept has been studied for centuries, by philosophers, linguists, cognitive scientists, and researchers in artificial intelligence (Margolis & Laurence, 1999). There is a large literature on formal, mathematical models of…

Artificial Intelligence · Computer Science 2021-01-14 Stephen Clark , Alexander Lerchner , Tamara von Glehn , Olivier Tieleman , Richard Tanburn , Misha Dashevskiy , Matko Bosnjak

Conceptual Scaling is a useful standard tool in Formal Concept Analysis and beyond. Its mathematical theory, as elaborated in the last chapter of the FCA monograph, still has room for improvement. As it stands, even some of the basic…

Machine Learning · Computer Science 2023-07-25 Bernhard Ganter , Tom Hanika , Johannes Hirth

High-dimensional distributed semantic spaces have proven useful and effective for aggregating and processing visual, auditory, and lexical information for many tasks related to human-generated data. Human language makes use of a large and…

Computation and Language · Computer Science 2021-04-02 Jussi Karlgren , Pentti Kanerva

Starting from an unsolved problem of information retrieval this paper presents an ontology-based model for indexing and retrieval. The model combines the methods and experiences of cognitive-to-interpret indexing languages with the…

Information Retrieval · Computer Science 2013-12-17 Winfried Gödert

Concept-based machine learning methods have increasingly gained importance due to the growing interest in making neural networks interpretable. However, concept annotations are generally challenging to obtain, making it crucial to leverage…

Machine Learning · Computer Science 2024-11-06 Alba Carballo-Castro , Sonia Laguna , Moritz Vandenhirtz , Julia E. Vogt

As large language models are increasingly trained and fine-tuned, practitioners need methods to identify which training data drive specific behaviors, particularly unintended ones. Training Data Attribution (TDA) methods address this by…

Large-scale multi-relational embedding refers to the task of learning the latent representations for entities and relations in large knowledge graphs. An effective and scalable solution for this problem is crucial for the true success of…

Machine Learning · Computer Science 2017-07-07 Hanxiao Liu , Yuexin Wu , Yiming Yang

Concept bottleneck models are interpretable predictive models that are often used in domains where model trust is a key priority, such as healthcare. They identify a small number of human-interpretable concepts in the data, which they then…

Machine Learning · Computer Science 2024-12-25 Katrina Brown , Marton Havasi , Finale Doshi-Velez

We propose an inference procedure for estimators defined by mathematical programming problems, focusing on the important special cases of linear programming (LP) and quadratic programming (QP). In these settings, the coefficients in both…

Econometrics · Economics 2017-09-27 Yu-Wei Hsieh , Xiaoxia Shi , Matthew Shum

Mathematical modeling is an essential step, for example, to analyze the transient behavior of a dynamical process and to perform engineering studies such as optimization and control. With the help of first-principles and expert knowledge, a…

Machine Learning · Computer Science 2021-03-30 Pawan Goyal , Peter Benner

A wide variety of model explanation approaches have been proposed in recent years, all guided by very different rationales and heuristics. In this paper, we take a new route and cast interpretability as a statistical inference problem. We…

Machine Learning · Computer Science 2024-01-01 Hugo Henri Joseph Senetaire , Damien Garreau , Jes Frellsen , Pierre-Alexandre Mattei