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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

We introduce a probabilistic model with implicit norm regularization for learning nonnegative matrix factorization (NMF) that is commonly used for predicting missing values and finding hidden patterns in the data, in which the matrix…

Machine Learning · Computer Science 2022-08-23 Jun Lu , Christine P. Chai

Referring back to the original text in the course of hierarchical learning is a common human trait that ensures the right direction of learning. The models developed based on the concept of Non-negative Matrix Factorization (NMF), in this…

Machine Learning · Computer Science 2024-05-24 Prasun Dutta , Rajat K. De

The training of deep-learning-based text classification models relies heavily on a huge amount of annotation data, which is difficult to obtain. When the labeled data is scarce, models tend to struggle to achieve satisfactory performance.…

Computation and Language · Computer Science 2020-04-07 Dianbo Sui , Yubo Chen , Binjie Mao , Delai Qiu , Kang Liu , Jun Zhao

Nonnegative matrix factorization (NMF) has become a workhorse for signal and data analytics, triggered by its model parsimony and interpretability. Perhaps a bit surprisingly, the understanding to its model identifiability---the major…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Xiao Fu , Kejun Huang , Nicholas D. Sidiropoulos , Wing-Kin Ma

Topic modeling is commonly used to analyze and understand large document collections. However, in practice, users want to focus on specific aspects or "targets" rather than the entire corpus. For example, given a large collection of…

Information Retrieval · Computer Science 2019-07-30 Hannah Kim , Dongjin Choi , Barry Drake , Alex Endert , Haesun Park

Recently, Neural Topic Models (NTMs) inspired by variational autoencoders have obtained increasingly research interest due to their promising results on text analysis. However, it is usually hard for existing NTMs to achieve good document…

Information Retrieval · Computer Science 2022-06-01 He Zhao , Dinh Phung , Viet Huynh , Trung Le , Wray Buntine

Non-negative Matrix Factorization(NMF) algorithm can only be used to find low rank approximation of original non-negative data while Concept Factorization(CF) algorithm extends matrix factorization to single non-linear kernel space,…

Machine Learning · Computer Science 2024-10-29 Fei Li , Liang Du , Chaohong Ren

It has been reported that clustering-based topic models, which cluster high-quality sentence embeddings with an appropriate word selection method, can generate better topics than generative probabilistic topic models. However, these…

Computation and Language · Computer Science 2023-06-07 Leihang Zhang , Jiapeng Liu , Qiang Yan

In this article we propose a method to refine the clustering results obtained with the nonnegative matrix factorization (NMF) technique, imposing consistency constraints on the final labeling of the data. The research community focused its…

Computer Vision and Pattern Recognition · Computer Science 2016-09-16 Rocco Tripodi , Sebastiano Vascon , Marcello Pelillo

Topic models are a useful analysis tool to uncover the underlying themes within document collections. The dominant approach is to use probabilistic topic models that posit a generative story, but in this paper we propose an alternative way…

Computation and Language · Computer Science 2020-10-08 Suzanna Sia , Ayush Dalmia , Sabrina J. Mielke

Breaking down a document or a conversation into multiple contiguous segments based on its semantic structure is an important and challenging problem in NLP, which can assist many downstream tasks. However, current works on topic…

Computation and Language · Computer Science 2023-10-27 Reshmi Ghosh , Harjeet Singh Kajal , Sharanya Kamath , Dhuri Shrivastava , Samyadeep Basu , Hansi Zeng , Soundararajan Srinivasan

The topic diversity of open-domain videos leads to various vocabularies and linguistic expressions in describing video contents, and therefore, makes the video captioning task even more challenging. In this paper, we propose an unified…

Computer Vision and Pattern Recognition · Computer Science 2023-02-15 Shizhe Chen , Jia Chen , Qin Jin , Alexander Hauptmann

Nonnegative Matrix Factorization (NMF) has been continuously evolving in several areas like pattern recognition and information retrieval methods. It factorizes a matrix into a product of 2 low-rank non-negative matrices that will define…

Machine Learning · Computer Science 2013-04-04 Jing-Yan Wang , Mustafa AbdulJabbar

Nonnegative Matrix Factorization (NMF) is an important unsupervised learning method to extract meaningful features from data. To address the NMF problem within a polynomial time framework, researchers have introduced a separability…

Machine Learning · Computer Science 2025-01-23 Juefei Chen , Longxiu Huang , Yimin Wei

How can we process a piece of recorded music to detect and visualize the onset of each instrument? A simple, interpretable approach is based on partially fixed nonnegative matrix factorization (NMF). Yet despite the method's simplicity,…

Numerical Analysis · Mathematics 2026-01-16 Alisha L. Foster , Robert J. Webber

In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data analysis tools. We first explore the difficulties of the…

Artificial Intelligence · Computer Science 2009-04-22 Nikolaos Vasiloglou , Alexander G. Gray , David V. Anderson

Nonnegative matrix factorization (NMF) is a widely used tool for learning parts-based, low-dimensional representations of nonnegative data, with applications in vision, text, and bioinformatics. In clustering applications, orthogonal NMF…

Machine Learning · Computer Science 2025-12-10 Manh Nguyen , Daniel Pimentel-Alarcón

People are shifting from traditional news sources to online news at an incredibly fast rate. However, the technology behind online news consumption promotes content that confirms the users' existing point of view. This phenomenon has led to…

Social and Information Networks · Computer Science 2017-11-29 Preethi Lahoti , Kiran Garimella , Aristides Gionis

Machine translation systems are expected to cope with various types of constraints in many practical scenarios. While neural machine translation (NMT) has achieved strong performance in unconstrained cases, it is non-trivial to impose…

Computation and Language · Computer Science 2022-10-24 Shuo Wang , Peng Li , Zhixing Tan , Zhaopeng Tu , Maosong Sun , Yang Liu