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We show that every finite semilattice can be represented as an atomized semilattice, an algebraic structure with additional elements (atoms) that extend the semilattice's partial order. Each atom maps to one subdirectly irreducible…

Rings and Algebras · Mathematics 2021-02-17 Fernando Martin-Maroto , Gonzalo G. de Polavieja

Semantic parsing is a means of taking natural language and putting it in a form that a computer can understand. There has been a multitude of approaches that take natural language utterances and form them into lambda calculus expressions --…

Computation and Language · Computer Science 2023-01-31 Parth Parekh , Cedric McGuire , Jake Imyak

Word embeddings are rich word representations, which in combination with deep neural networks, lead to large performance gains for many NLP tasks. However, word embeddings are represented by dense, real-valued vectors and they are therefore…

Computation and Language · Computer Science 2019-12-24 Andreas Hanselowski , Iryna Gurevych

We introduce sub-sentence encoder, a contrastively-learned contextual embedding model for fine-grained semantic representation of text. In contrast to the standard practice with sentence embeddings, where the meaning of an entire sequence…

Computation and Language · Computer Science 2023-11-09 Sihao Chen , Hongming Zhang , Tong Chen , Ben Zhou , Wenhao Yu , Dian Yu , Baolin Peng , Hongwei Wang , Dan Roth , Dong Yu

Semantic Embeddings are a popular way to represent knowledge in the field of zero-shot learning. We observe their interpretability and discuss their potential utility in a safety-critical context. Concretely, we propose to use them to add…

Machine Learning · Statistics 2019-05-21 Thomas Brunner , Frederik Diehl , Michael Truong Le , Alois Knoll

We present an unsupervised approach for discovering semantic representations of mathematical equations. Equations are challenging to analyze because each is unique, or nearly unique. Our method, which we call equation embeddings, finds good…

Machine Learning · Statistics 2018-03-28 Kriste Krstovski , David M. Blei

Dense word embeddings, which encode semantic meanings of words to low dimensional vector spaces have become very popular in natural language processing (NLP) research due to their state-of-the-art performances in many NLP tasks. Word…

Computation and Language · Computer Science 2018-07-20 Lutfi Kerem Senel , Ihsan Utlu , Veysel Yucesoy , Aykut Koc , Tolga Cukur

Machine learning tools often rely on embedding text as vectors of real numbers. In this paper, we study how the semantic structure of language is encoded in the algebraic structure of such embeddings. Specifically, we look at a notion of…

Machine Learning · Computer Science 2023-10-27 Yibo Jiang , Bryon Aragam , Victor Veitch

Semantic Similarity between two sentences can be defined as a way to determine how related or unrelated two sentences are. The task of Semantic Similarity in terms of distributed representations can be thought to be generating sentence…

Computation and Language · Computer Science 2017-10-24 Richa Sharma , Muktabh Mayank Srivastava

Semigroup theory is a branch of abstract algebra, and it provides mathematical tools for the theory of computation. Finite semigroups can describe state transition systems and thus they model physically realizable computers. Engineering…

Group Theory · Mathematics 2026-01-22 James East , Attila Egri-Nagy , Andrew R. Francis , James D. Mitchell

We introduce semantic form mid-tuning, an approach for transferring semantic knowledge from semantic meaning representations into transformer-based language encoders. In mid-tuning, we learn to align the text of general sentences -- not…

Computation and Language · Computer Science 2021-10-15 Mohammad Umair , Francis Ferraro

Understanding what knowledge is implicitly encoded in deep learning models is essential for improving the interpretability of AI systems. This paper examines common methods to explain the knowledge encoded in word embeddings, which are core…

Computation and Language · Computer Science 2025-08-20 Hanna Herasimchyk , Alhassan Abdelhalim , Sören Laue , Michaela Regneri

We propose a new kind of embedding for natural language text that deeply represents semantic meaning. Standard text embeddings use the outputs from hidden layers of a pretrained language model. In our method, we let a language model learn…

Computation and Language · Computer Science 2022-11-22 Oleg Vasilyev , John Bohannon

Mathematical notation makes up a large portion of STEM literature, yet finding semantic representations for formulae remains a challenging problem. Because mathematical notation is precise, and its meaning changes significantly with small…

Computation and Language · Computer Science 2023-09-06 Neeraj Gangwar , Nickvash Kani

To solve hard problems, AI relies on a variety of disciplines such as logic, probabilistic reasoning, machine learning and mathematical programming. Although it is widely accepted that solving real-world problems requires an integration…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle , Luc De Raedt

A representation technique that allows encoding music in a way that contains musical meaning would improve the results of any model trained for computer music tasks like generation of melodies and harmonies of better quality. The field of…

Computation and Language · Computer Science 2020-05-20 Sebastian Garcia-Valencia

Semantic communication, leveraging advanced deep learning techniques, emerges as a new paradigm that meets the requirements of next-generation wireless networks. However, current semantic communication systems, which employ neural coding…

Information Theory · Computer Science 2025-08-20 Hai-Long Qin , Jincheng Dai , Sixian Wang , Xiaoqi Qin , Shuo Shao , Kai Niu , Wenjun Xu , Ping Zhang

Semantic communication is an emerging paradigm that focuses on understanding and delivering semantics, or meaning of messages. Most existing semantic communication solutions define semantic meaning as the meaning of object labels recognized…

Networking and Internet Architecture · Computer Science 2022-03-17 Jingming Liang , Yong Xiao , Yingyu Li , Guangming Shi , Mehdi Bennis

Understanding the locus of semantic representation in large language models (LLMs) is crucial for interpretability and architectural innovation. The dominant paradigm posits that trainable input embeddings serve as foundational "meaning…

Computation and Language · Computer Science 2025-10-16 A. Bochkov

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
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