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Related papers: Foundations of Vector Retrieval

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The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few…

General Mathematics · Mathematics 2011-06-08 Sanjay Roy , T. K. Samanta

Retrieval-augmented language models can better adapt to changes in world state and incorporate long-tail knowledge. However, most existing methods retrieve only short contiguous chunks from a retrieval corpus, limiting holistic…

Computation and Language · Computer Science 2024-02-01 Parth Sarthi , Salman Abdullah , Aditi Tuli , Shubh Khanna , Anna Goldie , Christopher D. Manning

Distributed word representations have been demonstrated to be effective in capturing semantic and syntactic regularities. Unsupervised representation learning from large unlabeled corpora can learn similar representations for those words…

Computation and Language · Computer Science 2015-12-01 Chunting Zhou , Chonglin Sun , Zhiyuan Liu , Francis C. M. Lau

Word2vec (Mikolov et al., 2013) has proven to be successful in natural language processing by capturing the semantic relationships between different words. Built on top of single-word embeddings, paragraph vectors (Le and Mikolov, 2014)…

Computation and Language · Computer Science 2017-12-11 Geng Ji , Robert Bamler , Erik B. Sudderth , Stephan Mandt

The motivation of this work is two-fold - a) to compare between two different modes of visualizing data that exists in a bag of vectors format b) to propose a theoretical model that supports a new mode of visualizing data. Visualizing high…

Information Retrieval · Computer Science 2013-10-15 Sriramkumar Balasubramanian , Raghuram Reddy Nagireddy

Text-to-image multimodal tasks, generating/retrieving an image from a given text description, are extremely challenging tasks since raw text descriptions cover quite limited information in order to fully describe visually realistic images.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Soyeon Caren Han , Siqu Long , Siwen Luo , Kunze Wang , Josiah Poon

Learning vectors that capture the meaning of concepts remains a fundamental challenge. Somewhat surprisingly, perhaps, pre-trained language models have thus far only enabled modest improvements to the quality of such concept embeddings.…

Computation and Language · Computer Science 2023-05-18 Na Li , Hanane Kteich , Zied Bouraoui , Steven Schockaert

Text contained in an image carries high-level semantics that can be exploited to achieve richer image understanding. In particular, the mere presence of text provides strong guiding content that should be employed to tackle a diversity of…

Computer Vision and Pattern Recognition · Computer Science 2020-01-15 Andres Mafla , Sounak Dey , Ali Furkan Biten , Lluis Gomez , Dimosthenis Karatzas

Image captioning models typically follow an encoder-decoder architecture which uses abstract image feature vectors as input to the encoder. One of the most successful algorithms uses feature vectors extracted from the region proposals…

Computer Vision and Pattern Recognition · Computer Science 2020-01-14 Simao Herdade , Armin Kappeler , Kofi Boakye , Joao Soares

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

Semantic vectors are learned from data to express semantic relationships between elements of information, for the purpose of solving and informing downstream tasks. Other models exist that learn to map and classify supervised data. However,…

Artificial Intelligence · Computer Science 2018-07-24 Peter Sutor , Douglas Summers-Stay , Yiannis Aloimonos

Paravectors just like integers have a ring structure. By introducing an integrated product we get geometric properties which make paravectors similar to vectors. The concepts of parallelism, perpendicularity and the angle are conceptually…

Rings and Algebras · Mathematics 2016-05-10 Radomański Józef

Dramatic advances in generative models have resulted in near photographic quality for artificially rendered faces, animals and other objects in the natural world. In spite of such advances, a higher level understanding of vision and imagery…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Raphael Gontijo Lopes , David Ha , Douglas Eck , Jonathon Shlens

Most algorithms constructing bases of finite-dimensional vector spaces return basis vectors which, apart from orthogonality, do not show any special properties. While every basis is sufficient to define the vector space, not all bases are…

Numerical Analysis · Mathematics 2023-06-21 Patrick Otto Ludl

Machine learning and vector search are two research topics that developed in parallel in nearby communities. However, unlike many other fields related to big data, machine learning has not significantly impacted vector search. In this…

Machine Learning · Computer Science 2025-02-25 Matthijs Douze

Vector Symbolic Architectures belong to a family of related cognitive modeling approaches that encode symbols and structures in high-dimensional vectors. Similar to human subjects, whose capacity to process and store information or concepts…

Artificial Intelligence · Computer Science 2020-10-02 Florian Mirus , Terrence C. Stewart , Jorg Conradt

We introduce a rotation-invariant representation of planar shapes. In particular, this representation encodes shapes as vectors such that the Euclidean distance between them serves as a valid shape distance. For standardized, star-shaped…

Computational Geometry · Computer Science 2026-05-28 Hamid Shafieasl , Jeff M. Phillips

Vector-space models, from word embeddings to neural network parsers, have many advantages for NLP. But how to generalise from fixed-length word vectors to a vector space for arbitrary linguistic structures is still unclear. In this paper we…

Computation and Language · Computer Science 2017-10-03 Diana Nicoleta Popa , James Henderson

Word vector representations are well developed tools for various NLP and Machine Learning tasks and are known to retain significant semantic and syntactic structure of languages. But they are prone to carrying and amplifying bias which can…

Computation and Language · Computer Science 2019-01-24 Sunipa Dev , Jeff Phillips

Conventional word embeddings represent words with fixed vectors, which are usually trained based on co-occurrence patterns among words. In doing so, however, the power of such representations is limited, where the same word might be…

Computation and Language · Computer Science 2020-01-10 Hongming Zhang , Jiaxin Bai , Yan Song , Kun Xu , Changlong Yu , Yangqiu Song , Wilfred Ng , Dong Yu