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We propose a novel framework seamlessly providing key properties of both neural nets (learning) and symbolic logic (knowledge and reasoning). Every neuron has a meaning as a component of a formula in a weighted real-valued logic, yielding a…

Embeddings are a fundamental component of many modern machine learning and natural language processing models. Understanding them and visualizing them is essential for gathering insights about the information they capture and the behavior…

Computation and Language · Computer Science 2019-05-30 Piero Molino , Yang Wang , Jiawei Zhang

Hyperbolic neural networks have been popular in the recent past due to their ability to represent hierarchical data sets effectively and efficiently. The challenge in developing these networks lies in the nonlinearity of the embedding space…

Machine Learning · Computer Science 2021-12-08 Xiran Fan , Chun-Hao Yang , Baba C. Vemuri

Sentence embeddings are central to modern NLP and AI systems, yet little is known about their internal structure. While we can compare these embeddings using measures such as cosine similarity, the contributing features are not…

Computation and Language · Computer Science 2025-06-11 Matthieu Tehenan , Vikram Natarajan , Jonathan Michala , Milton Lin , Juri Opitz

Logic is the main formal language to perform automated reasoning, and it is further a human-interpretable language, at least for small formulae. Learning and optimising logic requirements and rules has always been an important problem in…

Artificial Intelligence · Computer Science 2023-05-08 Gaia Saveri , Luca Bortolussi

Concept embeddings offer a practical and efficient mechanism for injecting commonsense knowledge into downstream tasks. Their core purpose is often not to predict the commonsense properties of concepts themselves, but rather to identify…

Artificial Intelligence · Computer Science 2024-06-06 Hanane Kteich , Na Li , Usashi Chatterjee , Zied Bouraoui , Steven Schockaert

This article focuses on the study of Word Embedding, a feature-learning technique in Natural Language Processing that maps words or phrases to low-dimensional vectors. Beginning with the linguistic theories concerning contextual…

Computation and Language · Computer Science 2019-11-05 Xiaolei Lu , Bin Ni

Vector-based word representations help countless Natural Language Processing (NLP) tasks capture the language's semantic and syntactic regularities. In this paper, we present the characteristics of existing word embedding approaches and…

Computation and Language · Computer Science 2024-03-05 Obaidullah Zaland , Muhammad Abulaish , Mohd. Fazil

Sequential word order is important when processing text. Currently, neural networks (NNs) address this by modeling word position using position embeddings. The problem is that position embeddings capture the position of individual words,…

Computation and Language · Computer Science 2020-06-30 Benyou Wang , Donghao Zhao , Christina Lioma , Qiuchi Li , Peng Zhang , Jakob Grue Simonsen

Various non-trivial spaces are becoming popular for embedding structured data such as graphs, texts, or images. Following spherical and hyperbolic spaces, more general product spaces have been proposed. However, searching for the best…

Machine Learning · Computer Science 2022-04-11 Kirill Shevkunov , Liudmila Prokhorenkova

For natural language understanding and generation, embedding concepts using an order-based representation is an essential task. Unlike traditional point vector based representation, an order-based representation imposes geometric…

Computation and Language · Computer Science 2024-04-18 Croix Gyurek , Niloy Talukder , Mohammad Al Hasan

Recent advancements in language representation learning primarily emphasize language modeling for deriving meaningful representations, often neglecting style-specific considerations. This study addresses this gap by creating generic,…

Machine Learning · Computer Science 2025-03-17 Phil Ostheimer , Marius Kloft , Sophie Fellenz

Motivated by recent findings from cognitive neural science, we advocate the use of a dual-level model for concept representations: the embodied level consists of concept-oriented feature representations, and the symbolic level consists of…

Machine Learning · Computer Science 2022-03-02 Daniel T. Chang

Neural embedding approaches have become a staple in the fields of computer vision, natural language processing, and more recently, graph analytics. Given the pervasive nature of these algorithms, the natural question becomes how to exploit…

Computation and Language · Computer Science 2020-10-27 Alexander Kalinowski , Yuan An

Real-world knowledge is often organized as hierarchies such as product taxonomies, medical ontologies, and label trees, yet learning hierarchical representations is challenging due to asymmetric structure and noisy semantics. We introduce…

Machine Learning · Computer Science 2026-05-04 Sahil Mishra , Srinitish Srinivasan , Sourish Dasgupta , Tanmoy Chakraborty

Embedding words in vector space is a fundamental first step in state-of-the-art natural language processing (NLP). Typical NLP solutions employ pre-defined vector representations to improve generalization by co-locating similar words in…

Computation and Language · Computer Science 2023-01-03 Bimal Bhattarai , Ole-Christoffer Granmo , Lei Jiao , Rohan Yadav , Jivitesh Sharma

Despite significant progress in natural language understanding, Large Language Models (LLMs) remain error-prone when performing logical reasoning, often lacking the robust mental representations that enable human-like comprehension. We…

Artificial Intelligence · Computer Science 2025-09-05 François Olivier , Zied Bouraoui

Embeddings have become a pivotal means to represent complex, multi-faceted information about entities, concepts, and relationships in a condensed and useful format. Nevertheless, they often preclude direct interpretation. While downstream…

Semantic representations can be framed as a structured, dynamic knowledge space through which humans navigate to retrieve and manipulate meaning. To investigate how humans traverse this geometry, we introduce a framework that represents…

Computation and Language · Computer Science 2026-04-15 Felipe D. Toro-Hernández , Jesuino Vieira Filho , Rodrigo M. Cabral-Carvalho

We consider the problem of embedding entities and relations of knowledge bases in low-dimensional vector spaces. Unlike most existing approaches, which are primarily efficient for modeling equivalence relations, our approach is designed to…

Machine Learning · Computer Science 2013-04-29 Antoine Bordes , Nicolas Usunier , Alberto Garcia-Duran , Jason Weston , Oksana Yakhnenko