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Probabilistic topic models are widely used to discover latent topics in document collections, while latent feature vector representations of words have been used to obtain high performance in many NLP tasks. In this paper, we extend two…

Computation and Language · Computer Science 2018-10-16 Dat Quoc Nguyen , Richard Billingsley , Lan Du , Mark Johnson

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

Semi-Non-negative Matrix Factorization is a technique that learns a low-dimensional representation of a dataset that lends itself to a clustering interpretation. It is possible that the mapping between this new representation and our…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 George Trigeorgis , Konstantinos Bousmalis , Stefanos Zafeiriou , Bjoern W. Schuller

We present a new approach for neural machine translation (NMT) using the morphological and grammatical decomposition of the words (factors) in the output side of the neural network. This architecture addresses two main problems occurring in…

Computation and Language · Computer Science 2017-12-07 Mercedes García-Martínez , Loïc Barrault , Fethi Bougares

Emergency Department (ED) crowding is a worldwide issue that affects the efficiency of hospital management and the quality of patient care. This occurs when the request for an admit ward-bed to receive a patient is delayed until an…

Methodology · Statistics 2019-07-05 Jack Yutong Li , Ruoqing Zhu , Annie Qu , Han Ye , Zhankun Sun

Non-negative Matrix Factorization (NMF) has proven to be a powerful unsupervised learning method for uncovering hidden features in complex and noisy data sets with applications in data mining, text recognition, dimension reduction, face…

Non-negative matrix factorization (NMF) is a technique for finding latent representations of data. The method has been applied to corpora to construct topic models. However, NMF has likelihood assumptions which are often violated by real…

Machine Learning · Statistics 2017-11-22 Skyler Seto , Sarah Tan , Giles Hooker , Martin T. Wells

Symmetric nonnegative matrix factorization (SNMF) has demonstrated to be a powerful method for data clustering. However, SNMF is mathematically formulated as a non-convex optimization problem, making it sensitive to the initialization of…

Machine Learning · Computer Science 2021-03-03 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong , Qingfu Zhang

Non-negative Matrix Factorization (NMF) asks to decompose a (entry-wise) non-negative matrix into the product of two smaller-sized nonnegative matrices, which has been shown intractable in general. In order to overcome this issue, the…

Data Structures and Algorithms · Computer Science 2019-07-15 Zhihuai Chen , Yinan Li , Xiaoming Sun , Pei Yuan , Jialin Zhang

Extracting topics from large collections of unstructured text-documents has become a central task in current NLP applications and algorithms like NMF, LDA as well as their generalizations are the well-established current state of the art.…

Social and Information Networks · Computer Science 2021-11-23 Mattias Luber , Anton Thielmann , Christoph Weisser , Benjamin Säfken

Nonnegative Matrix Factorization(NMF) is a common used technique in machine learning to extract features out of data such as text documents and images thanks to its natural clustering properties. In particular, it is popular in image…

Computer Vision and Pattern Recognition · Computer Science 2016-08-05 Giovanni Barbarino

This paper introduces a new statistical approach to partitioning text automatically into coherent segments. Our approach enlists both short-range and long-range language models to help it sniff out likely sites of topic changes in text. To…

cmp-lg · Computer Science 2008-02-03 Doug Beeferman , Adam Berger , John Lafferty

Importance of document clustering is now widely acknowledged by researchers for better management, smart navigation, efficient filtering, and concise summarization of large collection of documents like World Wide Web (WWW). The next…

Information Retrieval · Computer Science 2011-12-30 Muhammad Rafi , M. Shahid Shaikh , Amir Farooq

This paper investigates a non-negative matrix factorization (NMF)-based approach to the semi-supervised single-channel speech enhancement problem where only non-stationary additive noise signals are given. The proposed method relies on…

Sound · Computer Science 2013-09-25 Nikolay Lyubimov , Mikhail Kotov

Nonnegative matrix factorization (NMF) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

Computer Vision and Pattern Recognition · Computer Science 2014-05-28 Ivan Ivek

Nonnegative matrix factorization (NMF) is a popular method used to reduce dimensionality in data sets whose elements are nonnegative. It does so by decomposing the data set of interest, $\mathbf{X}$, into two lower rank nonnegative matrices…

Methodology · Statistics 2021-07-05 Phillip Shreeves , Jeffrey L. Andrews , Xinchen Deng , Ramie Ali-Adeeb , Andrew Jirasek

Topic modeling is a key method in text analysis, but existing approaches fail to efficiently scale to large datasets or are limited by assuming one topic per document. Overcoming these limitations, we introduce Semantic Component Analysis…

Computation and Language · Computer Science 2025-09-29 Florian Eichin , Carolin M. Schuster , Georg Groh , Michael A. Hedderich

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

Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ability of SNMF. The previous methods introduce the…

Machine Learning · Computer Science 2024-10-29 Yuheng Jia , Jia-Nan Li , Wenhui Wu , Ran Wang

We present Sampled Weighted Min-Hashing (SWMH), a randomized approach to automatically mine topics from large-scale corpora. SWMH generates multiple random partitions of the corpus vocabulary based on term co-occurrence and agglomerates…

Machine Learning · Computer Science 2015-09-09 Gibran Fuentes-Pineda , Ivan Vladimir Meza-Ruiz