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Nonnegative matrix factorization (NMF) has found many applications including topic modeling and document analysis. Hierarchical NMF (HNMF) variants are able to learn topics at various levels of granularity and illustrate their hierarchical…

Machine Learning · Computer Science 2022-02-16 Joshua Vendrow , Jamie Haddock , Deanna Needell

This study analyzes the political agenda of the European Parliament (EP) plenary, how it has evolved over time, and the manner in which Members of the European Parliament (MEPs) have reacted to external and internal stimuli when making…

Computation and Language · Computer Science 2016-07-12 Derek Greene , James P. Cross

The present study proposes a novel method of trend detection and visualization - more specifically, modeling the change in a topic over time. Where current models used for the identification and visualization of trends only convey the…

Computation and Language · Computer Science 2023-09-19 Angad Sandhu , Aneesh Edara , Vishesh Narayan , Faizan Wajid , Ashok Agrawala

The rapidly changing landscapes of modern optimization problems require algorithms that can be adapted in real-time. This paper introduces an Adaptive Metaheuristic Framework (AMF) designed for dynamic environments. It is capable of…

Artificial Intelligence · Computer Science 2024-04-19 Bestoun S. Ahmed

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 continual learning, our aim is to learn a new task without forgetting what was learned previously. In topic models, this translates to learning new topic models without forgetting previously learned topics. Previous work either…

Machine Learning · Computer Science 2025-08-22 Charu Karakkaparambil James , Waleed Mustafa , Marius Kloft , Sophie Fellenz

Nonnegative matrix factorization is the following problem: given a nonnegative input matrix $V$ and a factorization rank $K$, compute two nonnegative matrices, $W$ with $K$ columns and $H$ with $K$ rows, such that $WH$ approximates $V$ as…

Optimization and Control · Mathematics 2025-01-10 Valentin Leplat , Yurii Nesterov , Nicolas Gillis , François Glineur

Early detection of neurocognitive disorders (NCDs) is crucial for timely intervention and disease management. Given that language impairments manifest early in NCD progression, visual-stimulated narrative (VSN)-based analysis offers a…

This paper presents an evolutionary algorithm for modeling the arrival dates of document streams, which is any time-stamped collection of documents, such as newscasts, e-mails, IRC conversations, scientific journals archives and weblog…

Information Retrieval · Computer Science 2007-05-23 Lourdes Araujo , Juan J. Merelo

Negative sampling has emerged as an effective technique that enables deep learning models to learn better representations by introducing the paradigm of learn-to-compare. The goal of this approach is to add robustness to deep learning…

Computation and Language · Computer Science 2025-03-26 Suman Adhya , Avishek Lahiri , Debarshi Kumar Sanyal , Partha Pratim Das

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

Numerical Analysis · Computer Science 2017-12-07 Gabriele Torre , Michael Graber

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…

Nonnegative Matrix Factorization (NMF) is a powerful tool for decomposing mixtures of audio signals in the Time-Frequency (TF) domain. In the source separation framework, the phase recovery for each extracted component is necessary for…

Sound · Computer Science 2016-11-17 Paul Magron , Roland Badeau , Bertrand David

This paper introduces new techniques for using convex optimization to fit input-output data to a class of stable nonlinear dynamical models. We present an algorithm that guarantees consistent estimates of models in this class when a small…

Optimization and Control · Mathematics 2013-03-19 Mark M. Tobenkin , Ian R. Manchester , Alexandre Megretski

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 paper, we propose the Continuous Time Fractional Topic Model (cFTM), a new method for dynamic topic modeling. This approach incorporates fractional Brownian motion~(fBm) to effectively identify positive or negative correlations in…

Computation and Language · Computer Science 2024-02-08 Kei Nakagawa , Kohei Hayashi , Yugo Fujimoto

Understanding how policy language evolves over time is critical for assessing global responses to complex challenges such as climate change. Temporal analysis helps stakeholders, including policymakers and researchers, to evaluate past…

Computation and Language · Computer Science 2025-07-10 Rafiu Adekoya Badekale , Adewale Akinfaderin

Social media platforms facilitate mankind a data-driven world by enabling billions of people to share their thoughts and activities ubiquitously. This huge collection of data, if analysed properly, can provide useful insights into people's…

Social and Information Networks · Computer Science 2020-09-22 Thirunavukarasu Balasubramaniam , Richi Nayak , Md Abul Bashar

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

Topic modeling analyzes documents to learn meaningful patterns of words. For documents collected in sequence, dynamic topic models capture how these patterns vary over time. We develop the dynamic embedded topic model (D-ETM), a generative…

Computation and Language · Computer Science 2019-10-14 Adji B. Dieng , Francisco J. R. Ruiz , David M. Blei