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Symmetric nonnegative matrix factorization (NMF), a special but important class of the general NMF, is demonstrated to be useful for data analysis and in particular for various clustering tasks. Unfortunately, designing fast algorithms for…

机器学习 · 计算机科学 2018-11-15 Zhihui Zhu , Xiao Li , Kai Liu , Qiuwei Li

Nonnegative Matrix Factorization (NMF) has been a popular representation method for pattern classification problem. It tries to decompose a nonnegative matrix of data samples as the product of a nonnegative basic matrix and a nonnegative…

机器学习 · 统计学 2013-12-06 Jim Jing-Yan Wang

Using nonnegative/binary matrix factorization (NBMF), a matrix can be decomposed into a nonnegative matrix and a binary matrix. Our analysis of facial images, based on NBMF and using the Fujitsu Digital Annealer, leads to successful image…

计算机视觉与模式识别 · 计算机科学 2020-07-03 Hinako Asaoka , Kazue Kudo

A nonnegative matrix factorization (NMF) can be computed efficiently under the separability assumption, which asserts that all the columns of the given input data matrix belong to the cone generated by a (small) subset of them. The provably…

最优化与控制 · 数学 2017-11-22 Nicolas Gillis , Robert Luce

Federated Learning (FL) addresses the need to create models based on proprietary data in such a way that multiple clients retain exclusive control over their data, while all benefit from improved model accuracy due to pooled resources.…

机器学习 · 计算机科学 2024-10-23 Urszula Chajewska , Harsh Shrivastava

Non-negative matrix factorization (NMF) is a natural model of admixture and is widely used in science and engineering. A plethora of algorithms have been developed to tackle NMF, but due to the non-convex nature of the problem, there is…

机器学习 · 计算机科学 2015-07-09 Rong Ge , James Zou

End-to-end deep neural networks have achieved remarkable success across various domains but are often criticized for their lack of interpretability. While post hoc explanation methods attempt to address this issue, they often fail to…

机器学习 · 计算机科学 2025-01-22 Weixin Chen , Simon Yu , Huajie Shao , Lui Sha , Han Zhao

This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean…

机器学习 · 计算机科学 2011-03-09 Cédric Févotte , Jérôme Idier

Graph neural network (GNN)-based models have been extensively studied for recommendations, as they can extract high-order collaborative signals accurately which is required for high-quality recommender systems. However, they neglect the…

信息检索 · 计算机科学 2024-09-05 Xinfeng Wang , Fumiyo Fukumoto , Jin Cui , Yoshimi Suzuki , Dongjin Yu

Given a collection of data points, non-negative matrix factorization (NMF) suggests to express them as convex combinations of a small set of `archetypes' with non-negative entries. This decomposition is unique only if the true archetypes…

机器学习 · 统计学 2017-05-09 Hamid Javadi , Andrea Montanari

Nonnegative matrix factorization (NMF) under the separability assumption can provably be solved efficiently, even in the presence of noise, and has been shown to be a powerful technique in document classification and hyperspectral unmixing.…

机器学习 · 统计学 2015-04-02 Nicolas Gillis , Stephen A. Vavasis

The particle-flow (PF) algorithm is used in general-purpose particle detectors to reconstruct a comprehensive particle-level view of the collision by combining information from different subdetectors. A graph neural network (GNN) model,…

数据分析、统计与概率 · 物理学 2021-11-29 Farouk Mokhtar , Raghav Kansal , Daniel Diaz , Javier Duarte , Joosep Pata , Maurizio Pierini , Jean-Roch Vlimant

Machine unlearning aims to revoke some training data after learning in response to requests from users, model developers, and administrators. Most previous methods are based on direct fine-tuning, which may neither remove data completely…

机器学习 · 计算机科学 2023-10-10 Yufang Liu , Changzhi Sun , Yuanbin Wu , Aimin Zhou

As algorithmic decision-making systems are becoming more pervasive, it is crucial to ensure such systems do not become mechanisms of unfair discrimination on the basis of gender, race, ethnicity, religion, etc. Moreover, due to the inherent…

机器学习 · 计算机科学 2021-04-06 Mohammad Mahdi Kamani , Rana Forsati , James Z. Wang , Mehrdad Mahdavi

While neural networks have been successfully applied to many natural language processing tasks, they come at the cost of interpretability. In this paper, we propose a general methodology to analyze and interpret decisions from a neural…

计算与语言 · 计算机科学 2017-01-11 Jiwei Li , Will Monroe , Dan Jurafsky

We present the development of a new algorithm which combines state-of-the-art energy-dispersive X-ray (EDX) spectroscopy theory and a suitable machine learning formulation for the hyperspectral unmixing of scanning transmission electron…

Fine-tuning large language models (LLMs) on downstream tasks requires substantial computational resources. Selective PEFT, a class of parameter-efficient fine-tuning (PEFT) methodologies, aims to mitigate these computational challenges by…

计算与语言 · 计算机科学 2025-06-24 Aradhye Agarwal , Suhas K Ramesh , Ayan Sengupta , Tanmoy Chakraborty

We introduce a probabilistic model with implicit norm regularization for learning nonnegative matrix factorization (NMF) that is commonly used for predicting missing values and finding hidden patterns in the data, in which the matrix…

机器学习 · 计算机科学 2022-08-23 Jun Lu , Christine P. Chai

In many applications in engineering and sciences analysts have simultaneous access to multiple data sources. In such cases, the overall cost of acquiring information can be reduced via data fusion or multi-fidelity (MF) modeling where one…

机器学习 · 计算机科学 2023-07-26 Carlos Mora , Jonathan Tammer Eweis-Labolle , Tyler Johnson , Likith Gadde , Ramin Bostanabad

Graph neural networks (GNNs) have become a popular approach to integrating structural inductive biases into NLP models. However, there has been little work on interpreting them, and specifically on understanding which parts of the graphs…

计算与语言 · 计算机科学 2022-10-04 Michael Sejr Schlichtkrull , Nicola De Cao , Ivan Titov