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Low-rank matrix factorization (MF) is an important technique in data science. The key idea of MF is that there exists latent structures in the data, by uncovering which we could obtain a compressed representation of the data. By factorizing…

数值分析 · 计算机科学 2016-05-09 Yuan Lu , Jie Yang

Nonnegative matrix factorization (NMF) is a powerful tool in data exploratory analysis by discovering the hidden features and part-based patterns from high-dimensional data. NMF and its variants have been successfully applied into diverse…

计算机视觉与模式识别 · 计算机科学 2017-07-27 Lihua Zhang , Shihua Zhang

Efforts to understand the generalization mystery in deep learning have led to the belief that gradient-based optimization induces a form of implicit regularization, a bias towards models of low "complexity." We study the implicit…

机器学习 · 计算机科学 2019-10-29 Sanjeev Arora , Nadav Cohen , Wei Hu , Yuping Luo

We propose Deep Feature Factorization (DFF), a method capable of localizing similar semantic concepts within an image or a set of images. We use DFF to gain insight into a deep convolutional neural network's learned features, where we…

机器学习 · 计算机科学 2018-10-09 Edo Collins , Radhakrishna Achanta , Sabine Süsstrunk

Matrix factorization-based recommender system is in effect an angle preserving dimensionality reduction technique. Since the frequency of items follows power-law distribution, most vectors in the original dimension of user feature vectors…

信息检索 · 计算机科学 2023-01-11 Hao Wang

A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

Recommender systems based on latent factor models have been effectively used for understanding user interests and predicting future actions. Such models work by projecting the users and items into a smaller dimensional space, thereby…

数据库 · 计算机科学 2012-07-03 Bhargav Kanagal , Amr Ahmed , Sandeep Pandey , Vanja Josifovski , Jeff Yuan , Lluis Garcia-Pueyo

Nonnegative matrix factorization (NMF) is one of the most frequently-used matrix factorization models in data analysis. A significant reason to the popularity of NMF is its interpretability and the `parts of whole' interpretation of its…

机器学习 · 计算机科学 2018-01-19 Sanjar Karaev , James Hook , Pauli Miettinen

We study the problem of large-scale network embedding, which aims to learn latent representations for network mining applications. Previous research shows that 1) popular network embedding benchmarks, such as DeepWalk, are in essence…

社会与信息网络 · 计算机科学 2019-06-27 Jiezhong Qiu , Yuxiao Dong , Hao Ma , Jian Li , Chi Wang , Kuansan Wang , Jie Tang

Many businesses are using recommender systems for marketing outreach. Recommendation algorithms can be either based on content or driven by collaborative filtering. We study different ways to incorporate content information directly into…

机器学习 · 统计学 2013-08-09 Jennifer Nguyen , Mu Zhu

We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

机器学习 · 计算机科学 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

In myriad statistical applications, data are collected from related but heterogeneous sources. These sources share some commonalities while containing idiosyncratic characteristics. One of the most fundamental challenges in such scenarios…

统计方法学 · 统计学 2024-03-29 Naichen Shi , Raed Al Kontar , Salar Fattahi

Recommender system is the most successful commercial technology in the past decade. Technical mammoth such as Temu, TikTok and Amazon utilize the technology to generate enormous revenues each year. Although there have been enough research…

信息检索 · 计算机科学 2023-03-28 Hao Wang

Matrix factorization is a common machine learning technique for recommender systems. Despite its high prediction accuracy, the Bayesian Probabilistic Matrix Factorization algorithm (BPMF) has not been widely used on large scale data because…

分布式、并行与集群计算 · 计算机科学 2017-05-12 Tom Vander Aa , Imen Chakroun , Tom Haber

Recommender systems are considered one of the most rapidly growing branches of Artificial Intelligence. The demand for finding more efficient techniques to generate recommendations becomes urgent. However, many recommendations become…

机器学习 · 计算机科学 2022-11-17 Eyad Kannout , Hung Son Nguyen , Marek Grzegorowski

Recommendation system is important to a content sharing/creating social network. Collaborative filtering is a widely-adopted technology in conventional recommenders, which is based on similarity between positively engaged content items…

信息检索 · 计算机科学 2019-09-05 Yifang Liu , Zhentao Xu , Cong Hui , Yi Xuan , Jessie Chen , Yuanming Shan

Between matrix factorization or Random Walk with Restart (RWR), which method works better for recommender systems? Which method handles explicit or implicit feedback data better? Does additional information help recommendation? Recommender…

信息检索 · 计算机科学 2017-11-07 Haekyu Park , Jinhong Jung , U Kang

Matrix Factorization is one of the most successful recommender system techniques over the past decade. However, the classic probabilistic theory framework for matrix factorization is modeled using normal distributions. To find better…

信息检索 · 计算机科学 2022-12-21 Hao Wang

Symmetric nonnegative matrix factorization (SNMF) has demonstrated to be a powerful method for data clustering. However, SNMF is mathematically formulated as a non-convex optimization problem, making it sensitive to the initialization of…

机器学习 · 计算机科学 2021-03-03 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong , Qingfu Zhang

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
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