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Streaming tensor factorization is a powerful tool for processing high-volume and multi-way temporal data in Internet networks, recommender systems and image/video data analysis. In many applications the full tensor is not known, but instead…

Signal Processing · Electrical Eng. & Systems 2018-09-06 Cole Hawkins , Zheng Zhang

Streaming tensor factorization is a powerful tool for processing high-volume and multi-way temporal data in Internet networks, recommender systems and image/video data analysis. Existing streaming tensor factorization algorithms rely on…

Machine Learning · Statistics 2019-01-01 Cole Hawkins , Zheng Zhang

The Tucker decomposition, an extension of singular value decomposition for higher-order tensors, is a useful tool in analysis and compression of large-scale scientific data. While it has been studied extensively for static datasets, there…

Numerical Analysis · Mathematics 2026-05-26 Saibal De , Zitong Li , Hemanth Kolla , Eric T. Phipps

Factorizing tensors has recently become an important optimization module in a number of machine learning pipelines, especially in latent variable models. We show how to do this efficiently in the streaming setting. Given a set of $n$…

Machine Learning · Computer Science 2020-07-14 Rachit Chhaya , Jayesh Choudhari , Anirban Dasgupta , Supratim Shit

Practical tensor data is often along with time information. Most existing temporal decomposition approaches estimate a set of fixed factors for the objects in each tensor mode, and hence cannot capture the temporal evolution of the objects'…

Machine Learning · Computer Science 2023-11-09 Shikai Fang , Xin Yu , Shibo Li , Zheng Wang , Robert Kirby , Shandian Zhe

Consider multiple seasonal time series being collected in real-time, in the form of a tensor stream. Real-world tensor streams often include missing entries (e.g., due to network disconnection) and at the same time unexpected outliers…

Machine Learning · Computer Science 2022-06-13 Dongjin Lee , Kijung Shin

In theory, Bayesian nonparametric (BNP) models are well suited to streaming data scenarios due to their ability to adapt model complexity with the observed data. Unfortunately, such benefits have not been fully realized in practice;…

Machine Learning · Statistics 2015-04-22 Alex Tank , Nicholas J. Foti , Emily B. Fox

Tensor factorization is a powerful tool to analyse multi-way data. Compared with traditional multi-linear methods, nonlinear tensor factorization models are capable of capturing more complex relationships in the data. However, they are…

Machine Learning · Computer Science 2016-05-24 Shandian Zhe , Kai Zhang , Pengyuan Wang , Kuang-chih Lee , Zenglin Xu , Yuan Qi , Zoubin Ghahramani

Real-time prediction plays a vital role in various control systems, such as traffic congestion control and wireless channel resource allocation. In these scenarios, the predictor usually needs to track the evolution of the latent…

Optimization and Control · Mathematics 2024-08-14 Zhenting Luan , Defeng Sun , Haoning Wang , Liping Zhang

We present an approach to deep estimation of discrete conditional probability distributions. Such models have several applications, including generative modeling of audio, image, and video data. Our approach combines two main techniques:…

Machine Learning · Statistics 2017-03-01 Wesley Tansey , Karl Pichotta , James G. Scott

This paper proposes a method to guide tensor factorization, using class labels. Furthermore, it shows the advantages of using the proposed method in identifying nodes that play a special role in multi-relational networks, e.g. spammers.…

Social and Information Networks · Computer Science 2019-07-25 Georgios Katsimpras , Georgios Paliouras

This paper presents a methodology for creating streaming, distributed inference algorithms for Bayesian nonparametric (BNP) models. In the proposed framework, processing nodes receive a sequence of data minibatches, compute a variational…

Machine Learning · Computer Science 2015-11-02 Trevor Campbell , Julian Straub , John W. Fisher , Jonathan P. How

Seismicity catalogs are larger than ever due to an explosion of techniques for enhanced earthquake detection and an abundance of high-quality datasets. Bayesian inference is an appealing framework for locating earthquakes due to its ability…

Geophysics · Physics 2026-02-02 Zachary E. Ross , John D. Wilding , Kamyar Azizzadenesheli , Aitaro Kato

Graphs emerge in almost every real-world application domain, ranging from online social networks all the way to health data and movie viewership patterns. Typically, such real-world graphs are big and dynamic, in the sense that they evolve…

Social and Information Networks · Computer Science 2022-10-11 Ekta Gujral

Spiking Neural Networks (SNNs) have attracted recent interest due to their energy efficiency and biological plausibility. However, the performance of SNNs still lags behind traditional Artificial Neural Networks (ANNs), as there is no…

Neural and Evolutionary Computing · Computer Science 2023-05-19 Henrique Branquinho , Nuno Lourenço , Ernesto Costa

Contemporary applications, such as recommendation systems and mobile health monitoring, require real-time processing and analysis of sequentially arriving high-dimensional tensor data. Traditional offline learning, involving the storage and…

Machine Learning · Statistics 2026-02-16 Xin Wen , Will Wei Sun , Yichen Zhang

Dynamic behaviors are becoming prevalent in tensor applications, like machine learning, where many widely used models contain data-dependent tensor shapes and control flow. However, the limited expressiveness of prior programming…

Programming Languages · Computer Science 2026-01-29 Gina Sohn , Genghan Zhang , Konstantin Hossfeld , Jungwoo Kim , Nathan Sobotka , Nathan Zhang , Olivia Hsu , Kunle Olukotun

Tensor networks provide an efficient approximation of operations involving high dimensional tensors and have been extensively used in modelling quantum many-body systems. More recently, supervised learning has been attempted with tensor…

Computer Vision and Pattern Recognition · Computer Science 2021-07-02 Raghavendra Selvan , Erik B Dam , Jens Petersen

We initiate the study of biological neural networks from the perspective of streaming algorithms. Like computers, human brains suffer from memory limitations which pose a significant obstacle when processing large scale and dynamically…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Yael Hitron , Cameron Musco , Merav Parter

Given an undirected graph $G=(V,E)$ on $n$ vertices, $m$ edges, and an integer $t\ge 1$, a subgraph $(V,E_S)$, $E_S\subseteq E$ is called a $t$-spanner if for any pair of vertices $u,v \in V$, the distance between them in the subgraph is at…

Data Structures and Algorithms · Computer Science 2007-05-23 Surender Baswana
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