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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 present nested sampling for factor graphs (NSFG), a novel nested sampling approach to approximate inference for posterior distributions expressed over factor-graphs. Performing such inference is a key step in simultaneous localization…

机器人学 · 计算机科学 2022-08-10 Qiangqiang Huang , Alan Papalia , John J. Leonard

We introduce deep Markov spatio-temporal factorization (DMSTF), a generative model for dynamical analysis of spatio-temporal data. Like other factor analysis methods, DMSTF approximates high dimensional data by a product between time…

Dimensionality Reduction plays a pivotal role in improving feature learning accuracy and reducing training time by eliminating redundant features, noise, and irrelevant data. Nonnegative Matrix Factorization (NMF) has emerged as a popular…

机器学习 · 计算机科学 2024-05-07 Farid Saberi-Movahed , Kamal Berahman , Razieh Sheikhpour , Yuefeng Li , Shirui Pan

Tensor decomposition is an effective tool for learning multi-way structures and heterogeneous features from high-dimensional data, such as the multi-view images and multichannel electroencephalography (EEG) signals, are often represented by…

机器学习 · 计算机科学 2022-06-29 Wanguang Yin , Youzhi Qu , Zhengming Ma , Quanying Liu

Motivated by the need for analysing large spatio-temporal panel data, we introduce a novel dimensionality reduction methodology for $n$-dimensional random fields observed across a number $S$ spatial locations and $T$ time periods. We call…

统计方法学 · 统计学 2023-12-06 Matteo Barigozzi , Davide La Vecchia , Hang Liu

Neural collaborative filtering (NCF) and recurrent recommender systems (RRN) have been successful in modeling user-item relational data. However, they are also limited in their assumption of static or sequential modeling of relational data…

机器学习 · 计算机科学 2018-02-14 Xian Wu , Baoxu Shi , Yuxiao Dong , Chao Huang , Nitesh Chawla

With the development of new remote sensing technology, large or even massive spatial datasets covering the globe become available. Statistical analysis of such data is challenging. This article proposes a semiparametric approach to model…

统计方法学 · 统计学 2019-10-24 Pulong Ma , Emily L. Kang

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

The study of representations is widespread across fields, including neuroscience, psychology, and artificial intelligence. While representations are often studied and compared through similarities between stimuli, current methods provide…

计算机视觉与模式识别 · 计算机科学 2026-05-27 Florian P. Mahner , Ka Chun Lam , Francisco Pereira , Martin N. Hebart

Various Non-negative Matrix factorization (NMF) based methods add new terms to the cost function to adapt the model to specific tasks, such as clustering, or to preserve some structural properties in the reduced space (e.g., local…

Dimensionality reduction and matrix factorization techniques are important and useful machine-learning techniques in many fields. Nonnegative matrix factorization (NMF) is particularly useful for spectral analysis and image processing in…

天体物理仪器与方法 · 物理学 2016-12-20 Guangtun Zhu

Factor models are widely used to reduce dimensionality in modeling high-dimensional data. However, there remains a need for models that can be reliably fit in modest sample sizes and are identifiable, interpretable, and flexible. To address…

统计方法学 · 统计学 2025-06-19 Maoran Xu , Steven Winter , Amy H. Herring , David B. Dunson

Nonnegative Matrix Factorization (NMF) is a widely applied technique in the fields of machine learning and data mining. Graph Regularized Non-negative Matrix Factorization (GNMF) is an extension of NMF that incorporates graph regularization…

机器学习 · 计算机科学 2024-03-19 Zhen Wang , Wenwen Min

Tensor decomposition is a fundamental framework to analyze data that can be represented by multi-dimensional arrays. In practice, tensor data is often accompanied by temporal information, namely the time points when the entry values were…

机器学习 · 计算机科学 2022-07-07 Zheng Wang , Shandian Zhe

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

Non-negative matrix factorization (NMF) is widely used as a feature extraction technique for matrices with non-negative entries, such as image data, purchase histories, and other types of count data. In NMF, a non-negative matrix is…

统计计算 · 统计学 2026-01-01 Ryo Ohashi , Hiroyasu Abe , Fumitake Sakaori

Nonnegative matrix factorization (NMF) has found many applications including topic modeling and document analysis. Hierarchical NMF (HNMF) variants are able to learn topics at various levels of granularity and illustrate their hierarchical…

机器学习 · 计算机科学 2022-02-16 Joshua Vendrow , Jamie Haddock , Deanna Needell

Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ability of SNMF. The previous methods introduce the…

机器学习 · 计算机科学 2024-10-29 Yuheng Jia , Jia-Nan Li , Wenhui Wu , Ran Wang

Factor models balance flexibility, identifiability, and computational efficiency, with Bayesian spatial factor models particularly prone to identifiability challenges and scaling limitations. This work introduces Projected Bayesian Spatial…

统计方法学 · 统计学 2025-12-16 Lu Zhang