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We construct new examples of non-nil algebras with any number of generators, which are direct sums of two locally nilpotent subalgebras. As all previously known examples, our examples are contracted semigroup algebras and the underlying…

Rings and Algebras · Mathematics 2007-05-23 Vesselin Drensky , Lakhdar Hammoudi

Network embeddings, which learn low-dimensional representations for each vertex in a large-scale network, have received considerable attention in recent years. For a wide range of applications, vertices in a network are typically…

Computation and Language · Computer Science 2018-08-30 Dinghan Shen , Xinyuan Zhang , Ricardo Henao , Lawrence Carin

This paper contains a survey of recent developments in investigation of word equations in simple matrix groups and polynomial equations in simple (associative and Lie) matrix algebras along with some new results on the image of word maps on…

Algebraic Geometry · Mathematics 2019-01-30 Nikolai Gordeev , Boris Kunyavskii , Eugene Plotkin

In the search for hypercomplex analytic functions on the half-plane, we review the construction of induced representations of the group G=SL(2,R). Firstly we note that G-action on the homogeneous space G/H, where H is any one-dimensional…

Representation Theory · Mathematics 2015-12-23 Vladimir V. Kisil

Vector representations of sentences, trained on massive text corpora, are widely used as generic sentence embeddings across a variety of NLP problems. The learned representations are generally assumed to be continuous and real-valued,…

Computation and Language · Computer Science 2019-06-21 Dinghan Shen , Pengyu Cheng , Dhanasekar Sundararaman , Xinyuan Zhang , Qian Yang , Meng Tang , Asli Celikyilmaz , Lawrence Carin

Learning word embeddings using distributional information is a task that has been studied by many researchers, and a lot of studies are reported in the literature. On the contrary, less studies were done for the case of multiple languages.…

Computation and Language · Computer Science 2020-04-15 Marco Berlot , Evan Kaplan

To represent anything from mathematical concepts to real-world objects, we have to resort to an encoding. Encodings, such as written language, usually assume a decoder that understands a rich shared code. A semantic embedding is a form of…

Discrete Mathematics · Computer Science 2022-05-26 Fernando Martin-Maroto , Gonzalo G. de Polavieja

Sentence embeddings can be decoded to give approximations of the original texts used to create them. We explore this effect in the context of text simplification, demonstrating that reconstructed text embeddings preserve complexity levels.…

Computation and Language · Computer Science 2025-10-29 Matthew Shardlow

We demonstrate the utility of a new methodological tool, neural-network word embedding models, for large-scale text analysis, revealing how these models produce richer insights into cultural associations and categories than possible with…

Computation and Language · Computer Science 2019-11-13 Austin C. Kozlowski , Matt Taddy , James A. Evans

The positive effect of adding subword information to word embeddings has been demonstrated for predictive models. In this paper we investigate whether similar benefits can also be derived from incorporating subwords into counting models. We…

Computation and Language · Computer Science 2018-05-11 Alexandre Salle , Aline Villavicencio

Word embeddings learnt from large corpora have been adopted in various applications in natural language processing and served as the general input representations to learning systems. Recently, a series of post-processing methods have been…

Machine Learning · Computer Science 2019-10-25 Shuai Tang , Mahta Mousavi , Virginia R. de Sa

With text analysis tools becoming increasingly sophisticated over the last decade, researchers now face a decision of whether to use state-of-the-art models that provide high performance but that can be highly opaque in their operations and…

Computation and Language · Computer Science 2024-11-05 Catherine Moez

Word embedding maps words into a low-dimensional continuous embedding space by exploiting the local word collocation patterns in a small context window. On the other hand, topic modeling maps documents onto a low-dimensional topic space, by…

Computation and Language · Computer Science 2016-08-09 Shaohua Li , Tat-Seng Chua , Jun Zhu , Chunyan Miao

We define a bi-directional embedding between hypersequent calculi and a subclass of systems of rules (2-systems). In addition to showing that the two proof frameworks have the same expressive power, the embedding allows for the recovery of…

Logic · Mathematics 2018-05-15 Agata Ciabattoni , Francesco A. Genco

This paper proposes a new model for extracting an interpretable sentence embedding by introducing self-attention. Instead of using a vector, we use a 2-D matrix to represent the embedding, with each row of the matrix attending on a…

Computation and Language · Computer Science 2017-03-10 Zhouhan Lin , Minwei Feng , Cicero Nogueira dos Santos , Mo Yu , Bing Xiang , Bowen Zhou , Yoshua Bengio

Word embeddings provide an unsupervised way to understand differences in word usage between discursive communities. A number of recent papers have focused on identifying words that are used differently by two or more communities. But word…

Computation and Language · Computer Science 2023-02-14 Thyge Enggaard , August Lohse , Morten Axel Pedersen , Sune Lehmann

While the embedding of words has revolutionized the field of Natural Language Processing, the embedding of concepts has received much less attention so far. A dense and meaningful representation of concepts, however, could prove useful for…

Computation and Language · Computer Science 2025-02-17 Arne Rubehn , Johann-Mattis List

Word embeddings -- distributed representations of words -- in deep learning are beneficial for many tasks in natural language processing (NLP). However, different embedding sets vary greatly in quality and characteristics of the captured…

Computation and Language · Computer Science 2015-12-31 Wenpeng Yin , Hinrich Schütze

Word embeddings are commonly used as a starting point in many NLP models to achieve state-of-the-art performances. However, with a large vocabulary and many dimensions, these floating-point representations are expensive both in terms of…

Computation and Language · Computer Science 2020-01-23 Julien Tissier , Christophe Gravier , Amaury Habrard

Word embeddings play a significant role in many modern NLP systems. Since learning one representation per word is problematic for polysemous words and homonymous words, researchers propose to use one embedding per word sense. Their…

Computation and Language · Computer Science 2016-10-25 Qi Li , Tianshi Li , Baobao Chang
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