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Background: Baum-Welch training is an expectation-maximisation algorithm for training the emission and transition probabilities of hidden Markov models in a fully automated way. Methods and results: We introduce a linear space algorithm for…

Machine Learning · Computer Science 2007-05-23 Istvan Miklos , Irmtraud M. Meyer

Hidden Markov models (HMMs) are flexible tools for clustering dependent data coming from unknown populations, allowing nonparametric modelling of the population densities. Identifiability fails when the data is in fact independent and…

Statistics Theory · Mathematics 2025-07-16 Kweku Abraham , Elisabeth Gassiat , Zacharie Naulet

The hidden Markov model (HMM) provides a powerful framework for inference in time-varying environments, where the underlying state evolves according to a Markov chain. To address the optimal filtering problem in general dynamic settings, we…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Dongyan Sui , Haotian Pu , Siyang Leng , Stefan Vlaski

Nonnegative matrix factorization (NMF) has been widely used in machine learning and signal processing because of its non-subtractive, part-based property which enhances interpretability. It is often assumed that the latent dimensionality…

Machine Learning · Statistics 2018-10-25 Zhaoqiang Liu

Low level images representation in feature space performs poorly for classification with high accuracy since this level of representation is not able to project images into the discriminative feature space. In this work, we propose an…

Computer Vision and Pattern Recognition · Computer Science 2016-10-06 Fariborz Taherkhani , Reza Hedayati

Nonnegative Matrix Factorization (NMF) is a widely applied technique in the fields of machine learning and data mining. Graph Regularized Non-negative Matrix Factorization (GNMF) is an extension of NMF that incorporates graph regularization…

Machine Learning · Computer Science 2024-03-19 Zhen Wang , Wenwen Min

Nonnegative Matrix Factorization (NMF) is an unsupervised learning algorithm that produces a linear, parts-based approximation of a data matrix. NMF constructs a nonnegative low rank basis matrix and a nonnegative low rank matrix of weights…

Machine Learning · Statistics 2020-12-08 Matthew Corsetti , Ernest Fokoué

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 a powerful class of feature extraction techniques that has been successfully applied in many fields, namely in signal and image processing. Current NMF techniques have been limited to a…

Machine Learning · Statistics 2015-01-26 Paul Honeine , Fei Zhu

In pursuit of explainability, we develop generative models for sequential data. The proposed models provide state-of-the-art classification results and robust performance for speech phone classification. We combine modern neural networks…

Machine Learning · Computer Science 2021-07-05 Anubhab Ghosh , Antoine Honoré , Dong Liu , Gustav Eje Henter , Saikat Chatterjee

Non-negative matrix factorization (NMF) is the problem of determining two non-negative low rank factors $W$ and $H$, for the given input matrix $A$, such that $A \approx W H$. NMF is a useful tool for many applications in different domains…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-01 Ramakrishnan Kannan , Grey Ballard , Haesun Park

Learning multi-view data is an emerging problem in machine learning research, and nonnegative matrix factorization (NMF) is a popular dimensionality-reduction method for integrating information from multiple views. These views often provide…

Machine Learning · Statistics 2023-04-26 Shuo Shuo Liu , Lin Lin

Non-negative matrix factorization (NMF) has previously been shown to be a useful decomposition for multivariate data. We interpret the factorization in a new way and use it to generate missing attributes from test data. We provide a joint…

Numerical Analysis · Computer Science 2010-07-05 Mithun Das Gupta

This paper proposes a computationally efficient method of solving evaluation problem of Hidden Markov Model (HMM) with a given set of discrete observation symbols, number of states and probability distribution matrices. The observation…

Data Structures and Algorithms · Computer Science 2012-02-29 R. Gnanajeyaraman , G. Seenivasan

Profile hidden Markov models (pHMMs) are widely employed in various bioinformatics applications to identify similarities between biological sequences, such as DNA or protein sequences. In pHMMs, sequences are represented as graph…

The ability to predict the intentions of people based solely on their visual actions is a skill only performed by humans and animals. The intelligence of current computer algorithms has not reached this level of complexity, but there are…

Artificial Intelligence · Computer Science 2011-02-07 Michael DelRose , Christian Wagner , Philip Frederick

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for analyzing nonnegative data. A key aspect of NMF is the choice of the objective function that depends on the noise model (or statistics of the noise)…

Machine Learning · Computer Science 2021-02-10 Nicolas Gillis , Le Thi Khanh Hien , Valentin Leplat , Vincent Y. F. Tan

The detection of change-points in heterogeneous sequences is a statistical challenge with many applications in fields such as finance, signal analysis and biology. A wide variety of literature exists for finding an ideal set of…

Applications · Statistics 2012-12-11 The Minh Luong , Vittorio Perduca , Gregory Nuel

The options framework for hierarchical reinforcement learning has increased its popularity in recent years and has made improvements in tackling the scalability problem in reinforcement learning. Yet, most of these recent successes are…

Machine Learning · Computer Science 2022-03-11 Vittorio Giammarino , Ioannis Ch. Paschalidis

When learning a hidden Markov model (HMM), sequen- tial observations can often be complemented by real-valued summary response variables generated from the path of hid- den states. Such settings arise in numerous domains, includ- ing many…

Machine Learning · Statistics 2015-12-17 Yizhe Zhang , Ricardo Henao , Lawrence Carin , Jianling Zhong , Alexander J. Hartemink
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