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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…

计算与语言 · 计算机科学 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…

声音 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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,…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

声音 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

音频与语音处理 · 电气工程与系统科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

人工智能 · 计算机科学 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…

信息检索 · 计算机科学 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…

机器学习 · 计算机科学 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…

声音 · 计算机科学 2017-09-26 Shrikant Venkataramani , Y. Cem Subakan , Paris Smaragdis