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Nonnegative matrix factorization (NMF) under the separability assumption can provably be solved efficiently, even in the presence of noise, and has been shown to be a powerful technique in document classification and hyperspectral unmixing.…

Machine Learning · Statistics 2015-04-02 Nicolas Gillis , Stephen A. Vavasis

Topic modeling is a widely used approach for analyzing and exploring large document collections. Recent research efforts have incorporated pre-trained contextualized language models, such as BERT embeddings, into topic modeling. However,…

Computation and Language · Computer Science 2025-02-18 Suman Adhya , Debarshi Kumar Sanyal

Binary data matrices can represent many types of data such as social networks, votes, or gene expression. In some cases, the analysis of binary matrices can be tackled with nonnegative matrix factorization (NMF), where the observed data…

Machine Learning · Statistics 2020-06-23 Alberto Lumbreras , Louis Filstroff , Cédric Févotte

We present a novel divide-and-conquer method for the neural summarization of long documents. Our method exploits the discourse structure of the document and uses sentence similarity to split the problem into an ensemble of smaller…

Computation and Language · Computer Science 2020-09-24 Alexios Gidiotis , Grigorios Tsoumakas

Semantic matching of natural language sentences or identifying the relationship between two sentences is a core research problem underlying many natural language tasks. Depending on whether training data is available, prior research has…

Computation and Language · Computer Science 2018-03-02 Bang Liu , Ting Zhang , Fred X. Han , Di Niu , Kunfeng Lai , Yu Xu

To unfold the tremendous amount of multimedia data uploaded daily to social media platforms, effective topic modeling techniques are needed. Existing work tends to apply topic models on written text datasets. In this paper, we propose a…

Computation and Language · Computer Science 2021-10-29 Lukas Stappen , Jason Thies , Gerhard Hagerer , Björn W. Schuller , Georg Groh

Large language models (LLMs) are increasingly used for topic modeling, outperforming classical topic models such as LDA. Commonly, pre-trained LLM encoders such as BERT are used out-of-the-box despite the fact that fine-tuning is known to…

Computation and Language · Computer Science 2026-02-23 Johannes Schneider

Dynamic topic modeling is widely used to analyze evolving trends in scientific literature, medical records, and social media. Traditional topic models represent each topic through a single probability vector on the multinomial simplex and…

Machine Learning · Computer Science 2026-05-28 Hanjia Gao , Hanwen Ye , Qing Nie , Annie Qu

Sentence splitting is a major simplification operator. Here we present a simple and efficient splitting algorithm based on an automatic semantic parser. After splitting, the text is amenable for further fine-tuned simplification operations.…

Computation and Language · Computer Science 2018-10-12 Elior Sulem , Omri Abend , Ari Rappoport

Dimensionality Reduction plays a pivotal role in improving feature learning accuracy and reducing training time by eliminating redundant features, noise, and irrelevant data. Nonnegative Matrix Factorization (NMF) has emerged as a popular…

Machine Learning · Computer Science 2024-05-07 Farid Saberi-Movahed , Kamal Berahman , Razieh Sheikhpour , Yuefeng Li , Shirui Pan

When searching for information, a human reader first glances over a document, spots relevant sections and then focuses on a few sentences for resolving her intention. However, the high variance of document structure complicates to identify…

Computation and Language · Computer Science 2019-02-14 Sebastian Arnold , Rudolf Schneider , Philippe Cudré-Mauroux , Felix A. Gers , Alexander Löser

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices and has been widely used for unsupervised learning tasks such as product recommendation based on a rating matrix. However, although…

Social and Information Networks · Computer Science 2015-04-03 Junyu Xuan , Jie Lu , Xiangfeng Luo , Guangquan Zhang

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

Coupled Matrix Tensor Factorization (CMTF) facilitates the integration and analysis of multiple data sources and helps discover meaningful information. Nonnegative CMTF (N-CMTF) has been employed in many applications for identifying latent…

Machine Learning · Computer Science 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen

Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

Optimization and Control · Mathematics 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

Machine Learning · Computer Science 2024-10-30 Youdong Guo , Timothy E. Holy

Multi-modal data collections, such as corpora of paired images and text snippets, require analysis methods beyond single-view component and topic models. For continuous observations the current dominant approach is based on extensions of…

Machine Learning · Computer Science 2012-10-19 Seppo Virtanen , Yangqing Jia , Arto Klami , Trevor Darrell

Intelligible speech is produced by creating varying internal local muscle groupings -- i.e., functional units -- that are generated in a systematic and coordinated manner. There are two major challenges in characterizing and analyzing…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Jonghye Woo , Fangxu Xing , Jerry L. Prince , Maureen Stone , Arnold Gomez , Timothy G. Reese , Van J. Wedeen , Georges El Fakhri

In this work, we consider nonnegative matrix factorization (NMF) with a regularization that promotes small volume of the convex hull spanned by the basis matrix. We present highly efficient algorithms for three different volume…

Numerical Analysis · Computer Science 2020-01-14 M. S. Ang , Nicolas Gillis

Brain tumor classification from magnetic resonance imaging, which is also known as MRI, plays a sensitive role in computer-assisted diagnosis systems. In recent years, deep learning models have achieved high classification accuracy.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Hiba Adil Al-kharsan , Róbert Rajkó
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