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Formal semantics and distributional semantics are distinct approaches to linguistic meaning: the former models meaning as reference via model-theoretic structures; the latter represents meaning as vectors in high-dimensional spaces shaped…

Logic · Mathematics 2026-02-04 Daniel Quigley

This paper investigates the learning of 3rd-order tensors representing the semantics of transitive verbs. The meaning representations are part of a type-driven tensor-based semantic framework, from the newly emerging field of compositional…

Computation and Language · Computer Science 2014-02-19 Tamara Polajnar , Luana Fagarasan , Stephen Clark

This survey presents in some detail the main advances that have been recently taking place in Computational Linguistics towards the unification of the two prominent semantic paradigms: the compositional formal semantics view and the…

Computation and Language · Computer Science 2014-05-14 Dimitri Kartsaklis

An open problem with categorical compositional distributional semantics is the representation of words that are considered semantically vacuous from a distributional perspective, such as determiners, prepositions, relative pronouns or…

Computation and Language · Computer Science 2016-08-05 Dimitri Kartsaklis

We consider tensor grammars, which are an example of \commutative" grammars, based on the classical (rather than intuitionistic) linear logic. They can be seen as a surface representation of abstract categorial grammars ACG in the sense…

Logic · Mathematics 2021-11-22 Sergey Slavnov

Distributed representations of meaning are a natural way to encode covariance relationships between words and phrases in NLP. By overcoming data sparsity problems, as well as providing information about semantic relatedness which is not…

Computation and Language · Computer Science 2014-03-21 Karl Moritz Hermann , Phil Blunsom

It is a significant challenge to design probabilistic programming systems that can accommodate a wide variety of inference strategies within a unified framework. Noting that the versatility of modern automatic differentiation frameworks is…

Machine Learning · Statistics 2020-03-12 Fritz Obermeyer , Eli Bingham , Martin Jankowiak , Du Phan , Jonathan P. Chen

With the increasing empirical success of distributional models of compositional semantics, it is timely to consider the types of textual logic that such models are capable of capturing. In this paper, we address shortcomings in the ability…

Computation and Language · Computer Science 2013-06-11 Karl Moritz Hermann , Edward Grefenstette , Phil Blunsom

Complicated mathematical equations involving products of tensors with permutation symmetries, frequently encountered in fields such as general relativity and quantum chemistry (e.g., equations in high-order coupled cluster theories),…

Chemical Physics · Physics 2018-12-19 Zhendong Li , Sihong Shao , Wenjian Liu

This paper connects a vector-based composition model to a formal semantics, the Dependency-based Compositional Semantics (DCS). We show theoretical evidence that the vector compositions in our model conform to the logic of DCS.…

Computation and Language · Computer Science 2016-06-09 Ran Tian , Naoaki Okazaki , Kentaro Inui

Tensor factorizations have become increasingly popular approaches for various learning tasks on structured data. In this work, we extend the RESCAL tensor factorization, which has shown state-of-the-art results for multi-relational…

Machine Learning · Statistics 2013-06-11 Maximilian Nickel , Volker Tresp

Causal models, also known as Structural Equation Models (SEM), are a well-known formalism for representing and reasoning about causal dependencies between events. In this paper, we show that Temporal SEMs (TSEMs), which extend SEMs to…

Formal Languages and Automata Theory · Computer Science 2026-05-08 Maksim Gladyshev , Natasha Alechina , Brian Logan

The words-as-classifiers model of grounded lexical semantics learns a semantic fitness score between physical entities and the words that are used to denote those entities. In this paper, we explore how such a model can incrementally…

Computation and Language · Computer Science 2019-11-11 Daniele Moro , Stacy Black , Casey Kennington

Distributional semantics provides multi-dimensional, graded, empirically induced word representations that successfully capture many aspects of meaning in natural languages, as shown in a large body of work in computational linguistics;…

Computation and Language · Computer Science 2020-03-19 Gemma Boleda

One of the fundamental requirements for models of semantic processing in dialogue is incrementality: a model must reflect how people interpret and generate language at least on a word-by-word basis, and handle phenomena such as fragments,…

Computation and Language · Computer Science 2018-11-05 Mehrnoosh Sadrzadeh , Matthew Purver , Julian Hough , Ruth Kempson

This work considers the notion of random tensors and reviews some fundamental concepts in statistics when applied to a tensor based data or signal. In several engineering fields such as Communications, Signal Processing, Machine learning,…

Statistics Theory · Mathematics 2024-04-24 Divyanshu Pandey , Alexis Decurninge , Harry Leib

Distributional semantics has had enormous empirical success in Computational Linguistics and Cognitive Science in modeling various semantic phenomena, such as semantic similarity, and distributional models are widely used in…

Computation and Language · Computer Science 2019-05-20 Matthijs Westera , Gemma Boleda

Distributional semantic models provide vector representations for words by gathering co-occurrence frequencies from corpora of text. Compositional distributional models extend these from words to phrases and sentences. In categorical…

Computation and Language · Computer Science 2018-10-10 Esma Balkir , Dimitri Kartsaklis , Mehrnoosh Sadrzadeh

Robust and flexible event representations are important to many core areas in language understanding. Scripts were proposed early on as a way of representing sequences of events for such understanding, and has recently attracted renewed…

Computation and Language · Computer Science 2017-11-22 Noah Weber , Niranjan Balasubramanian , Nathanael Chambers

Categorical compositional distributional semantics is an approach to modelling language that combines the success of vector-based models of meaning with the compositional power of formal semantics. However, this approach was developed…

Computation and Language · Computer Science 2024-01-17 Martha Lewis