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Topological data analysis (TDA) is a rising branch in modern applied mathematics. It extracts topological structures as features of a given space and uses these features to analyze digital data. Persistent homology, one of the central tools…

Algebraic Topology · Mathematics 2025-05-26 Chuan-Shen Hu

This research introduces a novel psychometric method for analyzing textual data using large language models. By leveraging contextual embeddings to create contextual scores, we transform textual data into response data suitable for…

Computation and Language · Computer Science 2025-09-12 Jinsong Chen

Inferring topological and geometrical information from data can offer an alternative perspective on machine learning problems. Methods from topological data analysis, e.g., persistent homology, enable us to obtain such information,…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Christoph Hofer , Roland Kwitt , Marc Niethammer , Andreas Uhl

Word evolution refers to the changing meanings and associations of words throughout time, as a byproduct of human language evolution. By studying word evolution, we can infer social trends and language constructs over different periods of…

Computation and Language · Computer Science 2018-02-14 Zijun Yao , Yifan Sun , Weicong Ding , Nikhil Rao , Hui Xiong

Neural language models learn word representations, or embeddings, that capture rich linguistic and conceptual information. Here we investigate the embeddings learned by neural machine translation models, a recently-developed class of neural…

Computation and Language · Computer Science 2015-04-06 Felix Hill , Kyunghyun Cho , Sebastien Jean , Coline Devin , Yoshua Bengio

We propose a novel approach to learn word embeddings based on an extended version of the distributional hypothesis. Our model derives word embedding vectors using the etymological composition of words, rather than the context in which they…

Computation and Language · Computer Science 2017-12-13 Seunghyun Yoon , Pablo Estrada , Kyomin Jung

Cross-lingual language tasks typically require a substantial amount of annotated data or parallel translation data. We explore whether language representations that capture relationships among languages can be learned and subsequently…

Computation and Language · Computer Science 2021-06-07 Dian Yu , Taiqi He , Kenji Sagae

In data dominated systems and applications, a concept of representing words in a numerical format has gained a lot of attention. There are a few approaches used to generate such a representation. An interesting issue that should be…

Computation and Language · Computer Science 2020-12-08 Shahin Atakishiyev , Marek Z. Reformat

A topological shape analysis is proposed and utilized to learn concepts that reflect shape commonalities. Our approach is two-fold: i) a spatial topology analysis of point cloud segment constellations within objects. Therein constellations…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Christian A. Mueller , Andreas Birk

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

We present a probabilistic language model for time-stamped text data which tracks the semantic evolution of individual words over time. The model represents words and contexts by latent trajectories in an embedding space. At each moment in…

Machine Learning · Statistics 2017-07-19 Robert Bamler , Stephan Mandt

We propose an architecture to jointly learn word and label embeddings for slot filling in spoken language understanding. The proposed approach encodes labels using a combination of word embeddings and straightforward word-label association…

Computation and Language · Computer Science 2019-10-17 Jiewen Wu , Luis Fernando D'Haro , Nancy F. Chen , Pavitra Krishnaswamy , Rafael E. Banchs

Most existing word embedding approaches do not distinguish the same words in different contexts, therefore ignoring their contextual meanings. As a result, the learned embeddings of these words are usually a mixture of multiple meanings. In…

Computation and Language · Computer Science 2016-12-04 Jian Tang , Meng Qu , Qiaozhu Mei

Acoustic word embeddings (AWEs) are vector representations such that different acoustic exemplars of the same word are projected nearby in the embedding space. In addition to their use in speech technology applications such as spoken term…

Computation and Language · Computer Science 2023-01-10 Badr M. Abdullah , Dietrich Klakow

Topological Data Analysis (TDA) offers a suite of computational tools that provide quantified shape features in high dimensional data that can be used by modern statistical and predictive machine learning (ML) models. In particular,…

Cryptography and Security · Computer Science 2023-07-06 Dominic Gold , Koray Karabina , Francis C. Motta

In this article, we introduce a Topological Data Analysis (TDA) pipeline for neural spike train data. Understanding how the brain transforms sensory information into perception and behavior requires analyzing coordinated neural population…

Methodology · Statistics 2025-12-10 Cagatay Ayhan , Audrey N. Nash , Roberto Vincis , Martin Bauer , Richard Bertram , Tom Needham

Word embeddings are ubiquitous in NLP and information retrieval, but it is unclear what they represent when the word is polysemous. Here it is shown that multiple word senses reside in linear superposition within the word embedding and…

Computation and Language · Computer Science 2018-12-10 Sanjeev Arora , Yuanzhi Li , Yingyu Liang , Tengyu Ma , Andrej Risteski

Lexico-semantic networks represent words as nodes and their semantic relatedness as edges. While such networks are traditionally constructed using embeddings from encoder-based models or static vectors, embeddings from decoder-only large…

Computation and Language · Computer Science 2025-05-20 Zhu Liu , Ying Liu , KangYang Luo , Cunliang Kong , Maosong Sun

In this work we explore how fine-grained differences between the shapes of common objects are expressed in language, grounded on images and 3D models of the objects. We first build a large scale, carefully controlled dataset of human…

Computation and Language · Computer Science 2019-05-09 Panos Achlioptas , Judy Fan , Robert X. D. Hawkins , Noah D. Goodman , Leonidas J. Guibas

We present a family of neural-network--inspired models for computing continuous word representations, specifically designed to exploit both monolingual and multilingual text. This framework allows us to perform unsupervised training of…

Computation and Language · Computer Science 2016-12-15 Radu Soricut , Nan Ding