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A new geometrically-motivated algorithm for nonnegative matrix factorization is developed and applied to the discovery of latent "topics" for text and image "document" corpora. The algorithm is based on robustly finding and clustering…

Machine Learning · Statistics 2016-11-17 Weicong Ding , Mohammad H. Rohban , Prakash Ishwar , Venkatesh Saligrama

Symmetric nonnegative matrix factorization (NMF), a special but important class of the general NMF, is demonstrated to be useful for data analysis and in particular for various clustering tasks. Unfortunately, designing fast algorithms for…

Machine Learning · Computer Science 2018-11-15 Zhihui Zhu , Xiao Li , Kai Liu , Qiuwei Li

Recently, nonnegative matrix factorization (NMF) has been widely adopted for community detection, because of its better interpretability. However, the existing NMF-based methods have the following three problems: 1) they directly transform…

Machine Learning · Computer Science 2024-02-15 Yuecheng Li , Jialong Chen , Chuan Chen , Lei Yang , Zibin Zheng

This paper aims to use term clustering to build a modular ontology according to core ontology from domain-specific text. The acquisition of semantic knowledge focuses on noun phrase appearing with the same syntactic roles in relation to a…

Information Retrieval · Computer Science 2019-01-29 Ziwei Xu , Mounira Harzallah , Fabrice Guillet

Non-negative Matrix Factorisation (NMF) has been extensively used in machine learning and data analytics applications. Most existing variations of NMF only consider how each row/column vector of factorised matrices should be shaped, and…

Machine Learning · Computer Science 2019-07-09 Shuai Jiang , Kan Li , Richard Yida Xu

(Part of the abstract) In this thesis, we investigate the use of unsupervised spoken term discovery in tackling this problem. Unsupervised spoken term discovery aims to discover topic-related terminologies in a speech without knowing the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-12-01 Man-Ling Sung

Topic modeling is a technique for organizing and extracting themes from large collections of unstructured text. Non-negative matrix factorization (NMF) is a common unsupervised approach that decomposes a term frequency-inverse document…

Machine Learning · Computer Science 2024-07-30 Selma Wanna , Ryan Barron , Nick Solovyev , Maksim E. Eren , Manish Bhattarai , Kim Rasmussen , Boian S. Alexandrov

Nonnegative matrix factorization (NMF) has an established reputation as a useful data analysis technique in numerous applications. However, its usage in practical situations is undergoing challenges in recent years. The fundamental factor…

Machine Learning · Computer Science 2016-05-04 Mariano Tepper , Guillermo Sapiro

Given a matrix $M$ (not necessarily nonnegative) and a factorization rank $r$, semi-nonnegative matrix factorization (semi-NMF) looks for a matrix $U$ with $r$ columns and a nonnegative matrix $V$ with $r$ rows such that $UV$ is the best…

Numerical Analysis · Mathematics 2015-10-28 Nicolas Gillis , Abhishek Kumar

Cross-modal hashing is a successful method to solve large-scale multimedia retrieval issue. A lot of matrix factorization-based hashing methods are proposed. However, the existing methods still struggle with a few problems, such as how to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Wenyun Li , Chi-Man Pun

Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

Link prediction infers missing or future relations between graph nodes, based on connection patterns. Scientific literature networks and knowledge graphs are typically large, sparse, and noisy, and often contain missing links between…

Machine Learning · Computer Science 2025-07-09 Ryan C. Barron , Maksim E. Eren , Valentin Stanev , Cynthia Matuszek , Boian S. Alexandrov

In this paper, we present a supervised framework for automatic keyword extraction from single document. We model the text as complex network, and construct the feature set by extracting select node properties from it. Several node…

Information Retrieval · Computer Science 2019-09-27 Swagata Duari , Vasudha Bhatnagar

Topic modelling is a pivotal unsupervised machine learning technique for extracting valuable insights from large document collections. Existing neural topic modelling methods often encode contextual information of documents, while ignoring…

Computation and Language · Computer Science 2025-02-07 Yanan Ma , Chenghao Xiao , Chenhan Yuan , Sabine N van der Veer , Lamiece Hassan , Chenghua Lin , Goran Nenadic

Language is dynamic, constantly evolving and adapting with respect to time, domain or topic. The adaptability of language is an active research area, where researchers discover social, cultural and domain-specific changes in language using…

Computation and Language · Computer Science 2018-12-27 Zi Yin , Vin Sachidananda , Balaji Prabhakar

Topic evolution modeling has been researched for a long time and has gained considerable interest. A state-of-the-art method has been recently using word modeling algorithms in combination with community detection mechanisms to achieve…

Computation and Language · Computer Science 2019-12-17 Patrick Kiss , Elaheh Momeni

Low-frequency words place a major challenge for automatic speech recognition (ASR). The probabilities of these words, which are often important name entities, are generally under-estimated by the language model (LM) due to their limited…

Computation and Language · Computer Science 2015-06-17 Xi Ma , Xiaoxi Wang , Dong Wang , Zhiyong Zhang

We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

Machine Learning · Computer Science 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

Monte Carlo methods can provide accurate p-value estimates of word counting test statistics and are easy to implement. They are especially attractive when an asymptotic theory is absent or when either the search sequence or the word pattern…

Applications · Statistics 2008-12-01 Hock Peng Chan , Nancy R. Zhang , Louis H. Y. Chen

We present a new probabilistic model to address semi-nonnegative matrix factorization (SNMF), called Skellam-SNMF. It is a hierarchical generative model consisting of prior components, Skellam-distributed hidden variables and observed data.…

Machine Learning · Computer Science 2021-07-08 Benoit Fuentes , Gaël Richard
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