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Nonnegative matrix factorization (NMF) has been widely used to learn low-dimensional representations of data. However, NMF pays the same attention to all attributes of a data point, which inevitably leads to inaccurate representation. For…

Machine Learning · Computer Science 2021-11-30 Jiao Wei , Can Tong , Bingxue Wu , Qiang He , Shouliang Qi , Yudong Yao , Yueyang Teng

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices appropriate for the intended applications. The method has been widely used for unsupervised learning tasks, including recommender…

Machine Learning · Statistics 2015-07-14 Junyu Xuan , Jie Lu , Guangquan Zhang , Richard Yi Da Xu , Xiangfeng Luo

Hierarchical reinforcement learning methods offer a powerful means of planning flexible behavior in complicated domains. However, learning an appropriate hierarchical decomposition of a domain into subtasks remains a substantial challenge.…

Artificial Intelligence · Computer Science 2017-08-03 Adam C. Earle , Andrew M. Saxe , Benjamin Rosman

A recent theoretical analysis shows the equivalence between non-negative matrix factorization (NMF) and spectral clustering based approach to subspace clustering. As NMF and many of its variants are essentially linear, we introduce a…

Machine Learning · Statistics 2018-10-08 Dijana Tolic , Nino Antulov-Fantulin , Ivica Kopriva

The problem of finding overlapping communities in networks has gained much attention recently. Optimization-based approaches use non-negative matrix factorization (NMF) or variants, but the global optimum cannot be provably attained in…

Machine Learning · Statistics 2017-06-26 Xueyu Mao , Purnamrita Sarkar , Deepayan Chakrabarti

Non-negative Matrix Factorization (NMF) is a popular tool for data exploration. Bayesian NMF promises to also characterize uncertainty in the factorization. Unfortunately, current inference approaches such as MCMC mix slowly and tend to get…

Machine Learning · Statistics 2016-10-28 M. Arjumand Masood , Finale Doshi-Velez

Nonnegative matrix factorization (NMF) has been shown recently to be tractable under the separability assumption, under which all the columns of the input data matrix belong to the convex cone generated by only a few of these columns.…

Machine Learning · Statistics 2014-05-27 Nicolas Gillis , Robert Luce

Nonnegative matrix factorization can be used to automatically detect topics within a corpus in an unsupervised fashion. The technique amounts to an approximation of a nonnegative matrix as the product of two nonnegative matrices of lower…

Computation and Language · Computer Science 2022-12-21 Michael R. Lindstrom , Xiaofu Ding , Feng Liu , Anand Somayajula , Deanna Needell

Topic models have evolved from conventional Bayesian probabilistic models to recent Neural Topic Models (NTMs). Although NTMs have shown promising performance when trained and tested on a specific corpus, their generalisation ability across…

Computation and Language · Computer Science 2024-06-14 Xiaohao Yang , He Zhao , Dinh Phung , Lan Du

Non-negative matrix factorization (NMF) is a dimensionality reduction technique which tends to produce a sparse representation of data. Commonly, the error between the actual and recreated matrices is used as an objective function, but this…

Machine Learning · Computer Science 2019-02-06 Steven Squires , Adam Prugel Bennett , Mahesan Niranjan

This paper tackles two major problem settings for interpretability of audio processing networks, post-hoc and by-design interpretation. For post-hoc interpretation, we aim to interpret decisions of a network in terms of high-level audio…

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

In this paper, we investigate the unsupervised deep representation learning issue and technically propose a novel framework called Deep Self-representative Concept Factorization Network (DSCF-Net), for clustering deep features. To improve…

Machine Learning · Computer Science 2020-01-01 Yan Zhang , Zhao Zhang , Zheng Zhang , Mingbo Zhao , Li Zhang , Zhengjun Zha , Meng Wang

Nonnegative Matrix Factorization (NMF) is a widely-used data analysis technique, and has yielded impressive results in many real-world tasks. Generally, existing NMF methods represent each sample with several centroids, and find the optimal…

Image and Video Processing · Electrical Eng. & Systems 2021-03-26 Mulin Chen , Xuelong Li

Identifying recurring patterns in high-dimensional time series data is an important problem in many scientific domains. A popular model to achieve this is convolutive nonnegative matrix factorization (CNMF), which extends classic…

Machine Learning · Computer Science 2019-07-02 Anthony Degleris , Ben Antin , Surya Ganguli , Alex H Williams

In this paper we present a model for unsupervised topic discovery in texts corpora. The proposed model uses documents, words, and topics lookup table embedding as neural network model parameters to build probabilities of words given topics,…

Computation and Language · Computer Science 2019-11-26 Sileye 0. Ba

Non-negative matrix factorization (NMF) is a new knowledge discovery method that is used for text mining, signal processing, bioinformatics, and consumer analysis. However, its basic property as a learning machine is not yet clarified, as…

Statistics Theory · Mathematics 2019-06-10 Naoki Hayashi , Sumio Watanabe

Nonnegative matrix factorization (NMF) is a popular dimension reduction technique that produces interpretable decomposition of the data into parts. However, this decompostion is not generally identifiable (even up to permutation and…

Machine Learning · Computer Science 2016-04-05 W. Pan , F. Doshi-Velez

Nonnegative matrix factorization (NMF) is a popular method for audio spectral unmixing. While NMF is traditionally applied to off-the-shelf time-frequency representations based on the short-time Fourier or Cosine transforms, the ability to…

Machine Learning · Statistics 2018-11-07 Pierre Ablin , Dylan Fagot , Herwig Wendt , Alexandre Gramfort , Cédric Févotte

Classical computing has borne witness to the development of machine learning. The integration of quantum technology into this mix will lead to unimaginable benefits and be regarded as a giant leap forward in mankind's ability to compute.…

Quantum Physics · Physics 2023-11-03 Hinako Asaoka , Kazue Kudo
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