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Concurrent to the rapid progress in the development of neural-network based models in areas like natural language processing and computer vision, the need for creating explanations for the predictions of these black-box models has risen…

Computation and Language · Computer Science 2025-08-18 Marc Brinner , Sina Zarriess

Improving the interpretability of deep neural networks has recently gained increased attention, especially when the power of deep learning is leveraged to solve problems in physics. Interpretability helps us understand a model's ability to…

Sound · Computer Science 2023-10-12 Karim Helwani , Erfan Soltanmohammadi , Michael M. Goodwin

Nonnegative matrix factorization (NMF) is a linear dimensionality technique for nonnegative data with applications such as image analysis, text mining, audio source separation and hyperspectral unmixing. Given a data matrix $M$ and a…

Machine Learning · Computer Science 2021-04-14 Junjun Pan , Nicolas Gillis

Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being…

Machine Learning · Statistics 2012-12-07 Nicolas Gillis

Nonnegative matrix factorization is a powerful technique to realize dimension reduction and pattern recognition through single-layer data representation learning. Deep learning, however, with its carefully designed hierarchical structure,…

Computer Vision and Pattern Recognition · Computer Science 2017-07-31 Zhenxing Guo , Shihua Zhang

We take a formal approach to the explainability problem of machine learning systems. We argue against the practice of interpreting black-box models via attributing scores to input components due to inherently conflicting goals of…

Machine Learning · Computer Science 2023-06-13 Kai Jia , Pasapol Saowakon , Limor Appelbaum , Martin Rinard

This study represents the first integration of large language models (LLMs) with non-negative matrix factorization (NMF), marking a novel advancement in the source separation field. The LLM is employed in two unique ways: enhancing the…

Sound · Computer Science 2025-02-11 Yasaman Torabi , Shahram Shirani , James P. Reilly

Current generative models are able to generate high-quality artefacts but have been shown to struggle with compositional reasoning, which can be defined as the ability to generate complex structures from simpler elements. In this paper, we…

Machine Learning · Computer Science 2024-08-20 Giovanni Bindi , Philippe Esling

Semi-Non-negative Matrix Factorization is a technique that learns a low-dimensional representation of a dataset that lends itself to a clustering interpretation. It is possible that the mapping between this new representation and our…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 George Trigeorgis , Konstantinos Bousmalis , Stefanos Zafeiriou , Bjoern W. Schuller

Large language models have shown a remarkable ability to extract meaning from unstructured data, offering new ways to interpret biomedical signals beyond traditional numerical methods. In this study, we present a matrix factorization…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-15 Yasaman Torabi , Shahram Shirani , James P. Reilly

We augment the nonnegative matrix factorization method for audio source separation with cues about directionality of sound propagation. This improves separation quality greatly and removes the need for training data, with only a twofold…

Machine Learning · Statistics 2017-05-30 Noah D. Stein

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) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

Computer Vision and Pattern Recognition · Computer Science 2014-05-28 Ivan Ivek

Nonnegative Matrix Factorization (NMF) is a widely used technique in many applications such as face recognition, motion segmentation, etc. It approximates the nonnegative data in an original high dimensional space with a linear…

Machine Learning · Computer Science 2012-04-12 Bin Shen , Luo Si , Rongrong Ji , Baodi Liu

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for nonnegative data, with applications such as hyperspectral unmixing and topic modeling. NMF is a difficult problem in general (NP-hard), and its…

Numerical Analysis · Mathematics 2025-11-11 Junjun Pan , Valentin Leplat , Michael Ng , Nicolas Gillis

Non-negative matrix factorization (NMF) is a common method for generating topic models from text data. NMF is widely accepted for producing good results despite its relative simplicity of implementation and ease of computation. One…

Machine Learning · Computer Science 2016-08-09 Brendan Gavin , Vijay Gadepally , Jeremy Kepner

We investigate whether large language models (LLMs) can generate effective, user-facing explanations from a mathematically interpretable recommendation model. The model is based on constrained matrix factorization, where user types are…

Artificial Intelligence · Computer Science 2025-10-02 Maxime Manderlier , Fabian Lecron , Olivier Vu Thanh , Nicolas Gillis

Nonnegative matrix factorization (NMF) based topic modeling methods do not rely on model- or data-assumptions much. However, they are usually formulated as difficult optimization problems, which may suffer from bad local minima and high…

Information Retrieval · Computer Science 2021-02-26 JianYu Wang , Xiao-Lei Zhang

We present a novel graphical framework for modeling non-negative sequential data with hierarchical structure. Our model corresponds to a network of coupled non-negative matrix factorization (NMF) modules, which we refer to as a positive…

Machine Learning · Computer Science 2009-07-16 Brian K. Vogel

Convolutive Non-Negative Matrix Factorization model factorizes a given audio spectrogram using frequency templates with a temporal dimension. In this paper, we present a convolutional auto-encoder model that acts as a neural network…

Sound · Computer Science 2017-09-26 Shrikant Venkataramani , Y. Cem Subakan , Paris Smaragdis