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A vector composition of a vector $\mathbf{\ell}$ is a matrix $\mathbf{A}$ whose rows sum to $\mathbf{\ell}$. We define a weighted vector composition as a vector composition in which the column values of $\mathbf{A}$ may appear in different…

Combinatorics · Mathematics 2018-08-28 Steffen Eger

Compositionality is a key aspect of human intelligence, essential for reasoning and generalization. While transformer-based models have become the de facto standard for many language modeling tasks, little is known about how they represent…

Computation and Language · Computer Science 2025-06-03 Aishik Nagar , Ishaan Singh Rawal , Mansi Dhanania , Cheston Tan

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

A plethora of vector-space representations for words is currently available, which is growing. These consist of fixed-length vectors containing real values, which represent a word. The result is a representation upon which the power of many…

Computation and Language · Computer Science 2016-08-09 Leon Derczynski

Learning vector representation for words is an important research field which may benefit many natural language processing tasks. Two limitations exist in nearly all available models, which are the bias caused by the context definition and…

Computation and Language · Computer Science 2015-06-01 Xuefeng Yang , Kezhi Mao

We introduce a model for constructing vector representations of words by composing characters using bidirectional LSTMs. Relative to traditional word representation models that have independent vectors for each word type, our model requires…

Computation and Language · Computer Science 2016-05-25 Wang Ling , Tiago Luís , Luís Marujo , Ramón Fernandez Astudillo , Silvio Amir , Chris Dyer , Alan W. Black , Isabel Trancoso

Over the past years, distributed semantic representations have proved to be effective and flexible keepers of prior knowledge to be integrated into downstream applications. This survey focuses on the representation of meaning. We start from…

Computation and Language · Computer Science 2018-10-29 Jose Camacho-Collados , Mohammad Taher Pilehvar

Modelling compositionality has been a longstanding area of research in the field of vector space semantics. The categorical approach to compositionality maps grammar onto vector spaces in a principled way, but comes under fire for requiring…

Computation and Language · Computer Science 2019-01-31 Martha Lewis

Vector quantization is a technique in machine learning that discretizes continuous representations into a set of discrete vectors. It is widely employed in tokenizing data representations for large language models, diffusion models, and…

Machine Learning · Computer Science 2024-11-26 Wenhao Zhao , Qiran Zou , Rushi Shah , Dianbo Liu

Compositional generalization is a key facet of human cognition, but lacking in current AI tools such as vision-language models. Previous work examined whether a compositional tensor-based sentence semantics can overcome the challenge, but…

Artificial Intelligence · Computer Science 2025-09-12 Hala Hawashin , Mina Abbaszadeh , Nicholas Joseph , Beth Pearson , Martha Lewis , Mehrnoosh sadrzadeh

What is sentence meaning and its ideal representation? Much of the expressive power of human language derives from semantic composition, the mind's ability to represent meaning hierarchically & relationally over constituents. At the same…

Computation and Language · Computer Science 2023-05-29 Rohan Pandey

We present a computational model for the semantic interpretation of symmetry in naturalistic scenes. Key features include a human-centred representation, and a declarative, explainable interpretation model supporting deep semantic…

Computer Vision and Pattern Recognition · Computer Science 2018-09-17 Jakob Suchan , Mehul Bhatt , Srikrishna Vardarajan , Seyed Ali Amirshahi , Stella Yu

This paper is a reflexion on the computability of natural language semantics. It does not contain a new model or new results in the formal semantics of natural language: it is rather a computational analysis of the logical models and…

Computation and Language · Computer Science 2016-05-16 Richard Moot , Christian Retoré

Deep learning has made significant breakthroughs in various fields of artificial intelligence. Advantages of deep learning include the ability to capture highly complicated features, weak involvement of human engineering, etc. However, it…

Software Engineering · Computer Science 2014-09-12 Lili Mou , Ge Li , Yuxuan Liu , Hao Peng , Zhi Jin , Yan Xu , Lu Zhang

Vector Symbolic Architectures (VSAs) are high-dimensional vector representations of objects (eg., words, image parts), relations (eg., sentence structures), and sequences for use with machine learning algorithms. They consist of a vector…

Machine Learning · Computer Science 2015-02-02 Stephen I. Gallant , T. Wendy Okaywe

Compositionality is believed to be fundamental to intelligence. In humans, it underlies the structure of thought, language, and higher-level reasoning. In AI, compositional representations can enable a powerful form of out-of-distribution…

Computation and Language · Computer Science 2025-06-04 Eric Elmoznino , Thomas Jiralerspong , Yoshua Bengio , Guillaume Lajoie

Vector fields are a highly abstract physical concept that is often taught using visualizations. Although vector representations are particularly suitable for visualizing quantitative data, they are often confusing, especially when…

Physics Education · Physics 2024-02-20 Christoph Hoyer , Raimund Girwidz

Co-occurrence statistics based word embedding techniques have proved to be very useful in extracting the semantic and syntactic representation of words as low dimensional continuous vectors. In this work, we discovered that dictionary…

Computation and Language · Computer Science 2021-03-16 Juexiao Zhang , Yubei Chen , Brian Cheung , Bruno A Olshausen

We provide an overview of the hybrid compositional distributional model of meaning, developed in Coecke et al. (arXiv:1003.4394v1 [cs.CL]), which is based on the categorical methods also applied to the analysis of information flow in…

Computation and Language · Computer Science 2011-06-08 Mehrnoosh Sadrzadeh , Edward Grefenstette

Vector representations of graphs and relational structures, whether hand-crafted feature vectors or learned representations, enable us to apply standard data analysis and machine learning techniques to the structures. A wide range of…

Machine Learning · Computer Science 2020-03-31 Martin Grohe